https://www.math.wisc.edu/wiki/api.php?action=feedcontributions&user=Mitchell&feedformat=atomUW-Math Wiki - User contributions [en]2020-09-21T01:32:56ZUser contributionsMediaWiki 1.30.1https://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=10409Applied/ACMS2015-10-07T19:55:28Z<p>Mitchell: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~spagnolie Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
== Fall 2015 Semester ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 11<br />
|[http://www.math.ucla.edu/~liwang/ Li Wang] (UCLA)<br />
|''[[Applied/ACMS/absF15#Li Wang (UCLA)|Singular shocks: From particle-laden flow to human crowd dynamics]]''<br />
|Jin <br />
|-<br />
|-<br />
|Sep 18<br />
|[http://louisfan.web.unc.edu/ Wai Tong (Louis) Fan] (UW)<br />
|''[[Applied/ACMS/absF15#Wai Tong (Louis) Fan (UW)|Reflected diffusions with partial annihilations on a membrane]]''<br />
|Saverio<br />
|-<br />
|'''Wed. Sep 23, VV B129'''<br />
|[http://math.uchicago.edu/~wjing/ Wenjia Jing] (U Chicago)<br />
|''[[Applied/ACMS/absF15#Wenjia Jing (U Chicago)|Limiting distributions of random fluctuations in stochastic homogenization]]''<br />
|Li, Jin <br />
|-<br />
|Sep 25<br />
|[https://artioevans.wordpress.com/ Arthur Evans] (UW)<br />
|''[[Applied/ACMS/absF15#Arthur Evans (UW)|Ancient art and modern mechanics: using origami design to create new materials]]''<br />
|Saverio <br />
|-<br />
|Oct 2<br />
|[http://www.math.wisc.edu/~alfredowetzel/ Alfredo Wetzel] (UW)<br />
|''[[Applied/ACMS/absF15#Alfredo Wetzel (UW)|Direct scattering and small dispersion for the Benjamin-Ono equation with rational initial data]]''<br />
|Saverio <br />
|-<br />
|Oct 9<br />
| [https://perso.univ-rennes1.fr/mohammed.lemou/ Mohammed Lemou] (Universite Rennes I) <br />
| [[Applied/ACMS/absF15#Mohammed Lemou (Universite Rennes I)|A class of numerical schemes for multiscale parabolic problems]]<br />
| Jin<br />
|-<br />
|Oct 16<br />
| TBA<br />
| TBA<br />
| (UW)<br />
|-<br />
|Oct 23<br />
| [http://math.ucsd.edu/~mleok/ Melvin Leok] (UC San Diego) <br />
| [[Applied/ACMS/absF15#Melvin Leok (UC San Diego) | TBA]]<br />
|Li, Jin<br />
|<br />
|-<br />
|Oct 30<br />
| [http://math.wisc.edu/~qinli/ Qin Li] (UW)<br />
| [[Applied/ACMS/absF15#Qin Li (UW) | TBA]]<br />
| Saverio<br />
|<br />
|-<br />
|'''Wed. Nov. 4'''<br />
| [http://www3.mathematik.tu-darmstadt.de/index.php?id=2260 Matthias Schlottbom] (University of Münster) <br />
| [[Applied/ACMS/absF15#Matthias Schlottbom (University of Münster) | TBA]]<br />
|Li, Jin<br />
|<br />
|-<br />
|'''Nov. 6, 4pm, B239'''<br />
| [http://people.seas.harvard.edu/~chr/ Chris Rycroft] (Harvard) <br />
| [[Applied/ACMS/absF15#Chris Rycroft (Harvard) | TBA]]<br />
|Saverio<br />
|-<br />
|Nov 13<br />
| [http://www.tem.uoc.gr/~thodoros/ Theodoros Katsaounis] (KAUST) <br />
| [[Applied/ACMS/absF15#Theodoros Katsaounis (KAUST) | TBA]]<br />
|Jin<br />
|-<br />
|Nov 20<br />
| [http://faculty.ucmerced.edu/rmarcia/ Roummel Marcia] (UC Merced)<br />
|TBA<br />
|Mitchell<br />
|-<br />
|Nov 27<br />
|Thanksgiving break<br />
|-<br />
|'''Wed. Dec 2'''<br />
|[http://homepages.math.uic.edu/~sparber Christof Sparber] (UIC) <br />
| [[Applied/ACMS/absF15#Christof Sparber (UIC) | TBA]]<br />
|Li, Jin<br />
|<br />
|-<br />
|Dec 4<br />
| [https://cfwebprod.sandia.gov/cfdocs/CompResearch/templates/insert/profile.cfm?snl_id=4956 John Shadid] (Sandia) <br />
| [[Applied/ACMS/absF15#John Shadid (Sandia) | TBA]]<br />
|Sondak<br />
|-<br />
|Dec 11<br />
|TBA<br />
|TBA<br />
|}<br />
<br />
<br><br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia/Fall2015&diff=9741Colloquia/Fall20152015-06-01T20:04:52Z<p>Mitchell: /* Fall 2015 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Future Colloquia =<br />
<br />
<!--- All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''. ---><br />
<br />
== Fall 2015 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| '''September 4''' <br />
| [http://homepages.math.uic.edu/~isaac/ Isaac Goldbring] (UIC) <br />
| <!-- [[Colloquia#September 4: Isaac Goldbring (UIC) | title]] --><br />
| Andrews/Lempp<br />
|-<br />
| '''September 11''' <br />
| <!-- [webpage Speaker Name] (University) --> <br />
| <!-- [[Colloquia#September 11: Speaker (University) | title]] --><br />
| <!-- host --><br />
|-<br />
| '''September 18''' <br />
| [https://sites.google.com/site/doronpuder/ Doron Puder] (IAS) <br />
| <!-- [[Colloquia#September 18: Doron Puder (IAS) | title]] --><br />
| Gurevich<br />
|-<br />
| '''September 25''' <br />
| [https://pantherfile.uwm.edu/ourmazd/www/ Abbas Ourmazd] (UW-Milwaukee) <br />
| <!-- [[Colloquia#September 25: Abbas Ourmazd (UW-Milwaukee) | TBA]] --><br />
| Mitchell<br />
|-<br />
| '''October 2''' <br />
| [http://www.math.wisc.edu/~keisler/ Jerry Keisler] (UW) <br />
| <!-- [[Colloquia#October 2: Jerry Keisler (UW) | title]] --><br />
| Andrews/Lempp<br />
|-<br />
| '''October 9''' <br />
| <!-- [webpage Speaker Name] (University) --> <br />
| <!-- [[Colloquia#October 9: Speaker (University) | title]] --><br />
| <!-- host --><br />
|-<br />
| '''October 16''' <br />
| [http://mysite.science.uottawa.ca/hsalmasi/ Hadi Salmasian] (Ottawa) <br />
| <!-- [[Colloquia#October 23: Speaker (University) | title]] --><br />
| Gurevich<br />
|-<br />
| '''October 23''' <br />
| Wisconsin Science Festival. <!-- [webpage Speaker Name] (University) --> <br />
| <!-- [[Colloquia#October16: Speaker (University) | title]] --><br />
| <!-- host --><br />
|-<br />
| '''October 30''' <br />
| <!-- [webpage Speaker Name] (University) --> <br />
| <!-- [[Colloquia#October 30: Speaker (University) | title]] --><br />
| <!-- host --><br />
|-<br />
| '''November 6''' <br />
| Reserved <!-- Remove if no job talks --><br />
|<br />
|<br />
|-<br />
| '''November 13''' <br />
| Reserved <!-- Remove if no job talks --><br />
|<br />
|<br />
|-<br />
| '''November 20''' <br />
| Reserved <!-- Remove if no job talks --><br />
|<br />
|<br />
|-<br />
| '''November 27''' <br />
| University Holiday<br />
| No Colloquium<br />
|<br />
|-<br />
| '''December 4''' <br />
| Reserved <!-- Remove if no job talks --><br />
|<br />
|<br />
|-<br />
| '''December 11''' <br />
| Reserved <!-- Remove if no job talks --><br />
|<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
<!--- ===September 4: Speaker (University)=== ---><br />
<br />
<!--- ====Title==== ---><br />
<br />
<!--- Abstract ---><br />
<br />
<!--- == Past Colloquia ==<br />
<br />
[[Colloquia/Spring2015|Spring 2014]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]] <br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]] ---></div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Madison_Math_Circle&diff=9606Madison Math Circle2015-04-06T19:23:06Z<p>Mitchell: /* Link for presenters (in progress) */</p>
<hr />
<div>=Weekly Meeting=<br />
We have a weekly meeting, <b>Monday at 6pm in 120 Ingraham Hall</b>, during the school year. <b>New students are welcome at any point! </b> There is no required registration, no fee, and the talks are independent of one another, so you can just show up any week. See below for directions. <br />
<br />
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120, on the UW-Madison campus).<br />
<br />
=What is a Math Circle?=<br />
The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.<br />
<br />
The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.<br />
<br />
<br />
[[Image: MathCircle_2.jpg|500px]] <br />
<br />
[[Image: MathCircle_4.jpg|500px]] <br />
<br />
<br />
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=All right, I want to come!=<br />
==Directions and parking==<br />
Meetings are held in 120 Ingraham Hall.<br />
<br />
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;"><br />
[[File: Ingraham_Map.jpg|400px]]</div><br />
<br />
'''Parking.''' Parking on campus is rather limited. Here is as list of some options:<br />
<br />
*Directly in front of Ingraham hall, 2 metered spots (25 minute max) in [http://goo.gl/maps/HhFUm Lot 11 off of Observatory Drive].<br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/3IFaw these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/Gkx1C in Lot 26 along Observatory Drive].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/yFwNr these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/vs17X in Lot 34]. <br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/9NNNm these directions], 2 metered spots (25 minute max) [http://goo.gl/maps/ukTcu in front of Lathrop Hall].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/P156B these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .<br />
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].<br />
<br />
==Email list==<br />
Sign up for our email list: https://lists.math.wisc.edu/listinfo/math-circle<br />
<br />
==Contact the organizers==<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Carolyn Abbott, Gheorghe Craciun, Daniel Erman, Lalit Jain, Ryan Julian, and Philip Matchett Wood): [mailto:math-circle-organizers@math.wisc.edu math-circle-organizers@math.wisc.edu]. We are always interested in feedback!<br />
<br />
==Report on Math Circle in 2013-14==<br />
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf Annual Report]<br />
<br />
==Flyer==<br />
Please feel free to distribute our flyer! <br />
[https://www.math.wisc.edu/wiki/images/Flyer_MMSD.pdf Flyer]<br />
<br />
==Help us grow!==<br />
If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:<br />
*Posting our flyer at schools or anywhere that might have interested students<br />
*Discussing the Math Circle with students, parents, teachers, administrators, and others<br />
*Making an announcement about Math Circle at PTO meetings<br />
*Donating to Math Circle<br />
Contact the organizers if you have questions or your own ideas about how to help out.<br />
<br />
=Meetings for Fall 2014 and Spring 2015=<br />
<br />
<center><br />
<br />
All talks are at '''6pm in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120''', unless otherwise noted.<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Fall 2014 <br />
|-<br />
! Date and RSVP links!! Speaker !! Topic !! Link for more info<br />
|-<br />
| September 8, 2014 || Philip Matchett Wood || [[#Philip Matchett Wood | Pictures and Puzzles]] ||<br />
|-<br />
| September 15, 2014 || Jen Beichman || [[#TBA | Playing with geometric sums]] ||<br />
|-<br />
| September 22, 2014 || DJ Bruce || [[#TBA | Is any knot the unknot?]] ||<br />
|-<br />
| September 29, 2014 || Uri Andrews || [[#TBA | The games of Criss Cross and Brussels Sprouts]] ||<br />
|-<br />
| October 6, 2014 || David Sondak || [[#David Sondak | Fluids, Math, and Oobleck!]] ||<br />
|-<br />
| October 13, 2014 || George Craciun || [[#George Craciun | Proofs without words (but with plenty of pictures)]] ||<br />
|-<br />
| October 20, 2014 || Scott Hottovy || [[#TBA | Coming soon!]] ||<br />
|-<br />
| October 27, 2014 || Daniel Hast || [[#Hast | Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity]] ||<br />
|-<br />
| November 3, 2014 || Alisha Zachariah || [[#TBA | Infinity]] ||<br />
|-<br />
| November 10, 2014 || Marko Budisic || [[#Marko Budisic | Mathematics of epidemics ]] ||<br />
|-<br />
| November 17, 2014 || Nigel Boston || [[#Nigel Boston | Same bad channel]] ||<br />
|-<br />
| <strike>November 24, 2014</strike> || <strike>Daniel Erman</strike> || [[#TBA | <strike>How to catch a (data) thief </strike> Cancelled or weather]] ||<br />
|-<br />
| December 1, 2014 || Daniel Erman || [[#TBA | How to catch a (data) thief]] ||<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Spring 2015 <br />
|-<br />
| <strike>January 26, 2015 </strike> || TBA || [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 2, 2015 || Soledad Benguria || [[#TBA | Exploring Palindromes]] ||<br />
|-<br />
| February 9, 2015 || Jeff Linderoth|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 16, 2015 || Simon Marshall || [[#Simon Marshall | The Ant Walk]] ||<br />
|-<br />
| February 23, 2015 || Uri Andrews || [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 2, 2015 || Jordan Ellenberg|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 9, 2015 || Ali Lynch || [[#TBA | Mathematical Games and Winning Strategies]] ||<br />
|-<br />
| March 16, 2015 || Daniel Schultheis || [[#TBA | Picture Hanging and Secret Algebra]] ||<br />
|-<br />
| March 23, 2015 || Betsy Stovall|| [[#Ches | Divisibility Cheats]] ||<br />
|-<br />
| March 30, 2015 || No meeting|| [[#TBA | UW Spring Break]] ||<br />
|-<br />
| April 6, 2015 || Julie Mitchell || [[#Julie Mitchell | Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion]] ||<br />
|-<br />
| April 13, 2015 || Jessica Lin ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 20, 2015 || DJ Bruce ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 27, 2015 || David Anderson ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| May 4, 2015 || Daniel Ross ||[[#TBA |Last meeting of semester!]] ||<br />
|-<br />
|}<br />
<br />
</center><br />
<br />
== Abstracts ==<br />
<br />
===Philip Matchett Wood=== <br />
''Pictures and Puzzles''<br />
<br />
When does a simple picture solve a tricky puzzle? Come and learn about how line-and-dot drawing can solve complex puzzles, and create some new puzzles besides!<br />
<br />
===DJ Bruce=== <br />
''Is any knot the unknot?<br />
<br />
Abstract: You're walking home from school, and you pull out your head phones to listen to some tunes. However, inevitably they are a horribly tangled mess, but are they really a knot? We'll talk about what exactly is a knot, and how we can tell when something is not the unknot.<br />
<br />
===David Sondak===<br />
''Fluids, Math and Oobleck!''<br />
<br />
We will explore the magical world of fluids and their relationship to mathematics. As an example of fluids and math in the real world, we will make the living fluid oobleck and discuss some of its mathematical properties.<br />
<br />
=== George Craciun===<br />
''Proofs without words (but with plenty of pictures)''<br />
<br />
We will discuss mathematical proofs that can be done using only pictures or figures. If you want to see many such examples you can check out the book "Proofs without Words: Exercises in Visual Thinking" by Roger B. Nelsen. For more information also look at the wikipedia page http://en.wikipedia.org/wiki/Proof_without_words , where you can find links to Java Applets that show animations of proofs without words, such as http://usamts.org/Gallery/G_Gallery.php .<br />
<br />
<br />
=== Daniel Hast===<br />
''Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity''<br />
<br />
We'll explore systems of arithmetic where numbers loop back around to zero (like the hours on a clock!), called "modular arithmetic". Which numbers are perfect squares in such systems? Gauss, one of the greatest mathematicians in history, called the remarkable answer the "golden theorem".<br />
<br />
=== Alisha Zachariah===<br />
''What is infinity anyway''<br />
<br />
Infinity has a long history of having confounded and fascinated thinkers. We will take a look at some fundamental problems that early mathematicians grappled with and see some ways to understand infinity that have contributed to how we do math today.<br />
<br />
===Marko Budisic===<br />
''Mathematics of epidemics''<br />
<br />
Infectious diseases in our communities often make it into daily conversation: "There's a nasty cold going around.", "It's the flu season, get your shots.", and even, "There are news of a zombie outbreak!" Come hear how math gets applied to something as messy as spread of disease. We will use our wits, pencils, and computers to understand the progress of headaches, common cold, zombie outbreaks, and even ebola, a disease that is currently making the news.<br />
<br />
===Nigel Boston===<br />
''Same bad channel''<br />
<br />
How do we get such clear photos of the comet in the news?<br />
A 20 watt transmitter sends signals 500 million km through space to<br />
us and yet amazingly they survive this ordeal error-free. What's<br />
behind this is error-correcting codes. I'll give some of the basics,<br />
some related puzzles, and some challenges.<br />
<br />
===Soledad Benguria===<br />
''Exploring Palindromes''<br />
<br />
A Palindrome is a word or a number that reads the same forward and backwards. For example, Hannah, radar and civic are palindromic words, and 34743, 6446 are palindromic numbers. We will explore some curious properties of palindromes, and talk about what makes the number 196 special. <br />
<br />
===Simon Marshall===<br />
''The Ant Walk''<br />
<br />
An ant is walking on a grid in the plane, but it can only move north or east. How many ways are there for it to get from one square to another? The numbers that appear when we answer this question have a wealth of interesting properties.<br />
<br />
<br />
<br />
===Betsy Stovall===<br />
''Divisibility Cheats''<br />
<br />
We will discuss simple ways to determine whether one number is evenly divisible by a smaller one and also how to prove these facts. If time permits, we will also look at divisibility rules in bases other than 10. <br />
<br />
===Julie Mitchell=== <br />
''Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion''<br />
<br />
We will learn about motion subject to constraints. Mathematics based on these principles helps us build robots, explains human motion, and helps us model the shape of proteins like enzymes and antibodies. <br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]<br />
<br />
=Link for presenters (in progress)=<br />
[https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations]</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Madison_Math_Circle&diff=9605Madison Math Circle2015-04-06T19:22:55Z<p>Mitchell: /* Link for presenters (in progress) */</p>
<hr />
<div>=Weekly Meeting=<br />
We have a weekly meeting, <b>Monday at 6pm in 120 Ingraham Hall</b>, during the school year. <b>New students are welcome at any point! </b> There is no required registration, no fee, and the talks are independent of one another, so you can just show up any week. See below for directions. <br />
<br />
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120, on the UW-Madison campus).<br />
<br />
=What is a Math Circle?=<br />
The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.<br />
<br />
The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.<br />
<br />
<br />
[[Image: MathCircle_2.jpg|500px]] <br />
<br />
[[Image: MathCircle_4.jpg|500px]] <br />
<br />
<br />
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=All right, I want to come!=<br />
==Directions and parking==<br />
Meetings are held in 120 Ingraham Hall.<br />
<br />
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;"><br />
[[File: Ingraham_Map.jpg|400px]]</div><br />
<br />
'''Parking.''' Parking on campus is rather limited. Here is as list of some options:<br />
<br />
*Directly in front of Ingraham hall, 2 metered spots (25 minute max) in [http://goo.gl/maps/HhFUm Lot 11 off of Observatory Drive].<br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/3IFaw these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/Gkx1C in Lot 26 along Observatory Drive].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/yFwNr these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/vs17X in Lot 34]. <br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/9NNNm these directions], 2 metered spots (25 minute max) [http://goo.gl/maps/ukTcu in front of Lathrop Hall].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/P156B these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .<br />
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].<br />
<br />
==Email list==<br />
Sign up for our email list: https://lists.math.wisc.edu/listinfo/math-circle<br />
<br />
==Contact the organizers==<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Carolyn Abbott, Gheorghe Craciun, Daniel Erman, Lalit Jain, Ryan Julian, and Philip Matchett Wood): [mailto:math-circle-organizers@math.wisc.edu math-circle-organizers@math.wisc.edu]. We are always interested in feedback!<br />
<br />
==Report on Math Circle in 2013-14==<br />
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf Annual Report]<br />
<br />
==Flyer==<br />
Please feel free to distribute our flyer! <br />
[https://www.math.wisc.edu/wiki/images/Flyer_MMSD.pdf Flyer]<br />
<br />
==Help us grow!==<br />
If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:<br />
*Posting our flyer at schools or anywhere that might have interested students<br />
*Discussing the Math Circle with students, parents, teachers, administrators, and others<br />
*Making an announcement about Math Circle at PTO meetings<br />
*Donating to Math Circle<br />
Contact the organizers if you have questions or your own ideas about how to help out.<br />
<br />
=Meetings for Fall 2014 and Spring 2015=<br />
<br />
<center><br />
<br />
All talks are at '''6pm in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120''', unless otherwise noted.<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Fall 2014 <br />
|-<br />
! Date and RSVP links!! Speaker !! Topic !! Link for more info<br />
|-<br />
| September 8, 2014 || Philip Matchett Wood || [[#Philip Matchett Wood | Pictures and Puzzles]] ||<br />
|-<br />
| September 15, 2014 || Jen Beichman || [[#TBA | Playing with geometric sums]] ||<br />
|-<br />
| September 22, 2014 || DJ Bruce || [[#TBA | Is any knot the unknot?]] ||<br />
|-<br />
| September 29, 2014 || Uri Andrews || [[#TBA | The games of Criss Cross and Brussels Sprouts]] ||<br />
|-<br />
| October 6, 2014 || David Sondak || [[#David Sondak | Fluids, Math, and Oobleck!]] ||<br />
|-<br />
| October 13, 2014 || George Craciun || [[#George Craciun | Proofs without words (but with plenty of pictures)]] ||<br />
|-<br />
| October 20, 2014 || Scott Hottovy || [[#TBA | Coming soon!]] ||<br />
|-<br />
| October 27, 2014 || Daniel Hast || [[#Hast | Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity]] ||<br />
|-<br />
| November 3, 2014 || Alisha Zachariah || [[#TBA | Infinity]] ||<br />
|-<br />
| November 10, 2014 || Marko Budisic || [[#Marko Budisic | Mathematics of epidemics ]] ||<br />
|-<br />
| November 17, 2014 || Nigel Boston || [[#Nigel Boston | Same bad channel]] ||<br />
|-<br />
| <strike>November 24, 2014</strike> || <strike>Daniel Erman</strike> || [[#TBA | <strike>How to catch a (data) thief </strike> Cancelled or weather]] ||<br />
|-<br />
| December 1, 2014 || Daniel Erman || [[#TBA | How to catch a (data) thief]] ||<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Spring 2015 <br />
|-<br />
| <strike>January 26, 2015 </strike> || TBA || [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 2, 2015 || Soledad Benguria || [[#TBA | Exploring Palindromes]] ||<br />
|-<br />
| February 9, 2015 || Jeff Linderoth|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 16, 2015 || Simon Marshall || [[#Simon Marshall | The Ant Walk]] ||<br />
|-<br />
| February 23, 2015 || Uri Andrews || [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 2, 2015 || Jordan Ellenberg|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 9, 2015 || Ali Lynch || [[#TBA | Mathematical Games and Winning Strategies]] ||<br />
|-<br />
| March 16, 2015 || Daniel Schultheis || [[#TBA | Picture Hanging and Secret Algebra]] ||<br />
|-<br />
| March 23, 2015 || Betsy Stovall|| [[#Ches | Divisibility Cheats]] ||<br />
|-<br />
| March 30, 2015 || No meeting|| [[#TBA | UW Spring Break]] ||<br />
|-<br />
| April 6, 2015 || Julie Mitchell || [[#Julie Mitchell | Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion]] ||<br />
|-<br />
| April 13, 2015 || Jessica Lin ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 20, 2015 || DJ Bruce ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 27, 2015 || David Anderson ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| May 4, 2015 || Daniel Ross ||[[#TBA |Last meeting of semester!]] ||<br />
|-<br />
|}<br />
<br />
</center><br />
<br />
== Abstracts ==<br />
<br />
===Philip Matchett Wood=== <br />
''Pictures and Puzzles''<br />
<br />
When does a simple picture solve a tricky puzzle? Come and learn about how line-and-dot drawing can solve complex puzzles, and create some new puzzles besides!<br />
<br />
===DJ Bruce=== <br />
''Is any knot the unknot?<br />
<br />
Abstract: You're walking home from school, and you pull out your head phones to listen to some tunes. However, inevitably they are a horribly tangled mess, but are they really a knot? We'll talk about what exactly is a knot, and how we can tell when something is not the unknot.<br />
<br />
===David Sondak===<br />
''Fluids, Math and Oobleck!''<br />
<br />
We will explore the magical world of fluids and their relationship to mathematics. As an example of fluids and math in the real world, we will make the living fluid oobleck and discuss some of its mathematical properties.<br />
<br />
=== George Craciun===<br />
''Proofs without words (but with plenty of pictures)''<br />
<br />
We will discuss mathematical proofs that can be done using only pictures or figures. If you want to see many such examples you can check out the book "Proofs without Words: Exercises in Visual Thinking" by Roger B. Nelsen. For more information also look at the wikipedia page http://en.wikipedia.org/wiki/Proof_without_words , where you can find links to Java Applets that show animations of proofs without words, such as http://usamts.org/Gallery/G_Gallery.php .<br />
<br />
<br />
=== Daniel Hast===<br />
''Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity''<br />
<br />
We'll explore systems of arithmetic where numbers loop back around to zero (like the hours on a clock!), called "modular arithmetic". Which numbers are perfect squares in such systems? Gauss, one of the greatest mathematicians in history, called the remarkable answer the "golden theorem".<br />
<br />
=== Alisha Zachariah===<br />
''What is infinity anyway''<br />
<br />
Infinity has a long history of having confounded and fascinated thinkers. We will take a look at some fundamental problems that early mathematicians grappled with and see some ways to understand infinity that have contributed to how we do math today.<br />
<br />
===Marko Budisic===<br />
''Mathematics of epidemics''<br />
<br />
Infectious diseases in our communities often make it into daily conversation: "There's a nasty cold going around.", "It's the flu season, get your shots.", and even, "There are news of a zombie outbreak!" Come hear how math gets applied to something as messy as spread of disease. We will use our wits, pencils, and computers to understand the progress of headaches, common cold, zombie outbreaks, and even ebola, a disease that is currently making the news.<br />
<br />
===Nigel Boston===<br />
''Same bad channel''<br />
<br />
How do we get such clear photos of the comet in the news?<br />
A 20 watt transmitter sends signals 500 million km through space to<br />
us and yet amazingly they survive this ordeal error-free. What's<br />
behind this is error-correcting codes. I'll give some of the basics,<br />
some related puzzles, and some challenges.<br />
<br />
===Soledad Benguria===<br />
''Exploring Palindromes''<br />
<br />
A Palindrome is a word or a number that reads the same forward and backwards. For example, Hannah, radar and civic are palindromic words, and 34743, 6446 are palindromic numbers. We will explore some curious properties of palindromes, and talk about what makes the number 196 special. <br />
<br />
===Simon Marshall===<br />
''The Ant Walk''<br />
<br />
An ant is walking on a grid in the plane, but it can only move north or east. How many ways are there for it to get from one square to another? The numbers that appear when we answer this question have a wealth of interesting properties.<br />
<br />
<br />
<br />
===Betsy Stovall===<br />
''Divisibility Cheats''<br />
<br />
We will discuss simple ways to determine whether one number is evenly divisible by a smaller one and also how to prove these facts. If time permits, we will also look at divisibility rules in bases other than 10. <br />
<br />
===Julie Mitchell=== <br />
''Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion''<br />
<br />
We will learn about motion subject to constraints. Mathematics based on these principles helps us build robots, explains human motion, and helps us model the shape of proteins like enzymes and antibodies. <br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]<br />
<br />
=Link for presenters (in progress)=<br />
[https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations | https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations]</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Madison_Math_Circle&diff=9604Madison Math Circle2015-04-06T19:22:32Z<p>Mitchell: /* Link for presenters (in progress) */</p>
<hr />
<div>=Weekly Meeting=<br />
We have a weekly meeting, <b>Monday at 6pm in 120 Ingraham Hall</b>, during the school year. <b>New students are welcome at any point! </b> There is no required registration, no fee, and the talks are independent of one another, so you can just show up any week. See below for directions. <br />
<br />
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120, on the UW-Madison campus).<br />
<br />
=What is a Math Circle?=<br />
The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.<br />
<br />
The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.<br />
<br />
<br />
[[Image: MathCircle_2.jpg|500px]] <br />
<br />
[[Image: MathCircle_4.jpg|500px]] <br />
<br />
<br />
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=All right, I want to come!=<br />
==Directions and parking==<br />
Meetings are held in 120 Ingraham Hall.<br />
<br />
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;"><br />
[[File: Ingraham_Map.jpg|400px]]</div><br />
<br />
'''Parking.''' Parking on campus is rather limited. Here is as list of some options:<br />
<br />
*Directly in front of Ingraham hall, 2 metered spots (25 minute max) in [http://goo.gl/maps/HhFUm Lot 11 off of Observatory Drive].<br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/3IFaw these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/Gkx1C in Lot 26 along Observatory Drive].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/yFwNr these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/vs17X in Lot 34]. <br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/9NNNm these directions], 2 metered spots (25 minute max) [http://goo.gl/maps/ukTcu in front of Lathrop Hall].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/P156B these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .<br />
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].<br />
<br />
==Email list==<br />
Sign up for our email list: https://lists.math.wisc.edu/listinfo/math-circle<br />
<br />
==Contact the organizers==<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Carolyn Abbott, Gheorghe Craciun, Daniel Erman, Lalit Jain, Ryan Julian, and Philip Matchett Wood): [mailto:math-circle-organizers@math.wisc.edu math-circle-organizers@math.wisc.edu]. We are always interested in feedback!<br />
<br />
==Report on Math Circle in 2013-14==<br />
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf Annual Report]<br />
<br />
==Flyer==<br />
Please feel free to distribute our flyer! <br />
[https://www.math.wisc.edu/wiki/images/Flyer_MMSD.pdf Flyer]<br />
<br />
==Help us grow!==<br />
If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:<br />
*Posting our flyer at schools or anywhere that might have interested students<br />
*Discussing the Math Circle with students, parents, teachers, administrators, and others<br />
*Making an announcement about Math Circle at PTO meetings<br />
*Donating to Math Circle<br />
Contact the organizers if you have questions or your own ideas about how to help out.<br />
<br />
=Meetings for Fall 2014 and Spring 2015=<br />
<br />
<center><br />
<br />
All talks are at '''6pm in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120''', unless otherwise noted.<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Fall 2014 <br />
|-<br />
! Date and RSVP links!! Speaker !! Topic !! Link for more info<br />
|-<br />
| September 8, 2014 || Philip Matchett Wood || [[#Philip Matchett Wood | Pictures and Puzzles]] ||<br />
|-<br />
| September 15, 2014 || Jen Beichman || [[#TBA | Playing with geometric sums]] ||<br />
|-<br />
| September 22, 2014 || DJ Bruce || [[#TBA | Is any knot the unknot?]] ||<br />
|-<br />
| September 29, 2014 || Uri Andrews || [[#TBA | The games of Criss Cross and Brussels Sprouts]] ||<br />
|-<br />
| October 6, 2014 || David Sondak || [[#David Sondak | Fluids, Math, and Oobleck!]] ||<br />
|-<br />
| October 13, 2014 || George Craciun || [[#George Craciun | Proofs without words (but with plenty of pictures)]] ||<br />
|-<br />
| October 20, 2014 || Scott Hottovy || [[#TBA | Coming soon!]] ||<br />
|-<br />
| October 27, 2014 || Daniel Hast || [[#Hast | Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity]] ||<br />
|-<br />
| November 3, 2014 || Alisha Zachariah || [[#TBA | Infinity]] ||<br />
|-<br />
| November 10, 2014 || Marko Budisic || [[#Marko Budisic | Mathematics of epidemics ]] ||<br />
|-<br />
| November 17, 2014 || Nigel Boston || [[#Nigel Boston | Same bad channel]] ||<br />
|-<br />
| <strike>November 24, 2014</strike> || <strike>Daniel Erman</strike> || [[#TBA | <strike>How to catch a (data) thief </strike> Cancelled or weather]] ||<br />
|-<br />
| December 1, 2014 || Daniel Erman || [[#TBA | How to catch a (data) thief]] ||<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Spring 2015 <br />
|-<br />
| <strike>January 26, 2015 </strike> || TBA || [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 2, 2015 || Soledad Benguria || [[#TBA | Exploring Palindromes]] ||<br />
|-<br />
| February 9, 2015 || Jeff Linderoth|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 16, 2015 || Simon Marshall || [[#Simon Marshall | The Ant Walk]] ||<br />
|-<br />
| February 23, 2015 || Uri Andrews || [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 2, 2015 || Jordan Ellenberg|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 9, 2015 || Ali Lynch || [[#TBA | Mathematical Games and Winning Strategies]] ||<br />
|-<br />
| March 16, 2015 || Daniel Schultheis || [[#TBA | Picture Hanging and Secret Algebra]] ||<br />
|-<br />
| March 23, 2015 || Betsy Stovall|| [[#Ches | Divisibility Cheats]] ||<br />
|-<br />
| March 30, 2015 || No meeting|| [[#TBA | UW Spring Break]] ||<br />
|-<br />
| April 6, 2015 || Julie Mitchell || [[#Julie Mitchell | Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion]] ||<br />
|-<br />
| April 13, 2015 || Jessica Lin ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 20, 2015 || DJ Bruce ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 27, 2015 || David Anderson ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| May 4, 2015 || Daniel Ross ||[[#TBA |Last meeting of semester!]] ||<br />
|-<br />
|}<br />
<br />
</center><br />
<br />
== Abstracts ==<br />
<br />
===Philip Matchett Wood=== <br />
''Pictures and Puzzles''<br />
<br />
When does a simple picture solve a tricky puzzle? Come and learn about how line-and-dot drawing can solve complex puzzles, and create some new puzzles besides!<br />
<br />
===DJ Bruce=== <br />
''Is any knot the unknot?<br />
<br />
Abstract: You're walking home from school, and you pull out your head phones to listen to some tunes. However, inevitably they are a horribly tangled mess, but are they really a knot? We'll talk about what exactly is a knot, and how we can tell when something is not the unknot.<br />
<br />
===David Sondak===<br />
''Fluids, Math and Oobleck!''<br />
<br />
We will explore the magical world of fluids and their relationship to mathematics. As an example of fluids and math in the real world, we will make the living fluid oobleck and discuss some of its mathematical properties.<br />
<br />
=== George Craciun===<br />
''Proofs without words (but with plenty of pictures)''<br />
<br />
We will discuss mathematical proofs that can be done using only pictures or figures. If you want to see many such examples you can check out the book "Proofs without Words: Exercises in Visual Thinking" by Roger B. Nelsen. For more information also look at the wikipedia page http://en.wikipedia.org/wiki/Proof_without_words , where you can find links to Java Applets that show animations of proofs without words, such as http://usamts.org/Gallery/G_Gallery.php .<br />
<br />
<br />
=== Daniel Hast===<br />
''Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity''<br />
<br />
We'll explore systems of arithmetic where numbers loop back around to zero (like the hours on a clock!), called "modular arithmetic". Which numbers are perfect squares in such systems? Gauss, one of the greatest mathematicians in history, called the remarkable answer the "golden theorem".<br />
<br />
=== Alisha Zachariah===<br />
''What is infinity anyway''<br />
<br />
Infinity has a long history of having confounded and fascinated thinkers. We will take a look at some fundamental problems that early mathematicians grappled with and see some ways to understand infinity that have contributed to how we do math today.<br />
<br />
===Marko Budisic===<br />
''Mathematics of epidemics''<br />
<br />
Infectious diseases in our communities often make it into daily conversation: "There's a nasty cold going around.", "It's the flu season, get your shots.", and even, "There are news of a zombie outbreak!" Come hear how math gets applied to something as messy as spread of disease. We will use our wits, pencils, and computers to understand the progress of headaches, common cold, zombie outbreaks, and even ebola, a disease that is currently making the news.<br />
<br />
===Nigel Boston===<br />
''Same bad channel''<br />
<br />
How do we get such clear photos of the comet in the news?<br />
A 20 watt transmitter sends signals 500 million km through space to<br />
us and yet amazingly they survive this ordeal error-free. What's<br />
behind this is error-correcting codes. I'll give some of the basics,<br />
some related puzzles, and some challenges.<br />
<br />
===Soledad Benguria===<br />
''Exploring Palindromes''<br />
<br />
A Palindrome is a word or a number that reads the same forward and backwards. For example, Hannah, radar and civic are palindromic words, and 34743, 6446 are palindromic numbers. We will explore some curious properties of palindromes, and talk about what makes the number 196 special. <br />
<br />
===Simon Marshall===<br />
''The Ant Walk''<br />
<br />
An ant is walking on a grid in the plane, but it can only move north or east. How many ways are there for it to get from one square to another? The numbers that appear when we answer this question have a wealth of interesting properties.<br />
<br />
<br />
<br />
===Betsy Stovall===<br />
''Divisibility Cheats''<br />
<br />
We will discuss simple ways to determine whether one number is evenly divisible by a smaller one and also how to prove these facts. If time permits, we will also look at divisibility rules in bases other than 10. <br />
<br />
===Julie Mitchell=== <br />
''Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion''<br />
<br />
We will learn about motion subject to constraints. Mathematics based on these principles helps us build robots, explains human motion, and helps us model the shape of proteins like enzymes and antibodies. <br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]<br />
<br />
=Link for presenters (in progress)=<br />
[[https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations | https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations]]</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Madison_Math_Circle&diff=9603Madison Math Circle2015-04-06T19:21:50Z<p>Mitchell: /* Link for presenters (in progress) */</p>
<hr />
<div>=Weekly Meeting=<br />
We have a weekly meeting, <b>Monday at 6pm in 120 Ingraham Hall</b>, during the school year. <b>New students are welcome at any point! </b> There is no required registration, no fee, and the talks are independent of one another, so you can just show up any week. See below for directions. <br />
<br />
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120, on the UW-Madison campus).<br />
<br />
=What is a Math Circle?=<br />
The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.<br />
<br />
The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.<br />
<br />
<br />
[[Image: MathCircle_2.jpg|500px]] <br />
<br />
[[Image: MathCircle_4.jpg|500px]] <br />
<br />
<br />
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=All right, I want to come!=<br />
==Directions and parking==<br />
Meetings are held in 120 Ingraham Hall.<br />
<br />
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;"><br />
[[File: Ingraham_Map.jpg|400px]]</div><br />
<br />
'''Parking.''' Parking on campus is rather limited. Here is as list of some options:<br />
<br />
*Directly in front of Ingraham hall, 2 metered spots (25 minute max) in [http://goo.gl/maps/HhFUm Lot 11 off of Observatory Drive].<br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/3IFaw these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/Gkx1C in Lot 26 along Observatory Drive].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/yFwNr these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/vs17X in Lot 34]. <br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/9NNNm these directions], 2 metered spots (25 minute max) [http://goo.gl/maps/ukTcu in front of Lathrop Hall].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/P156B these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .<br />
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].<br />
<br />
==Email list==<br />
Sign up for our email list: https://lists.math.wisc.edu/listinfo/math-circle<br />
<br />
==Contact the organizers==<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Carolyn Abbott, Gheorghe Craciun, Daniel Erman, Lalit Jain, Ryan Julian, and Philip Matchett Wood): [mailto:math-circle-organizers@math.wisc.edu math-circle-organizers@math.wisc.edu]. We are always interested in feedback!<br />
<br />
==Report on Math Circle in 2013-14==<br />
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf Annual Report]<br />
<br />
==Flyer==<br />
Please feel free to distribute our flyer! <br />
[https://www.math.wisc.edu/wiki/images/Flyer_MMSD.pdf Flyer]<br />
<br />
==Help us grow!==<br />
If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:<br />
*Posting our flyer at schools or anywhere that might have interested students<br />
*Discussing the Math Circle with students, parents, teachers, administrators, and others<br />
*Making an announcement about Math Circle at PTO meetings<br />
*Donating to Math Circle<br />
Contact the organizers if you have questions or your own ideas about how to help out.<br />
<br />
=Meetings for Fall 2014 and Spring 2015=<br />
<br />
<center><br />
<br />
All talks are at '''6pm in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120''', unless otherwise noted.<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Fall 2014 <br />
|-<br />
! Date and RSVP links!! Speaker !! Topic !! Link for more info<br />
|-<br />
| September 8, 2014 || Philip Matchett Wood || [[#Philip Matchett Wood | Pictures and Puzzles]] ||<br />
|-<br />
| September 15, 2014 || Jen Beichman || [[#TBA | Playing with geometric sums]] ||<br />
|-<br />
| September 22, 2014 || DJ Bruce || [[#TBA | Is any knot the unknot?]] ||<br />
|-<br />
| September 29, 2014 || Uri Andrews || [[#TBA | The games of Criss Cross and Brussels Sprouts]] ||<br />
|-<br />
| October 6, 2014 || David Sondak || [[#David Sondak | Fluids, Math, and Oobleck!]] ||<br />
|-<br />
| October 13, 2014 || George Craciun || [[#George Craciun | Proofs without words (but with plenty of pictures)]] ||<br />
|-<br />
| October 20, 2014 || Scott Hottovy || [[#TBA | Coming soon!]] ||<br />
|-<br />
| October 27, 2014 || Daniel Hast || [[#Hast | Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity]] ||<br />
|-<br />
| November 3, 2014 || Alisha Zachariah || [[#TBA | Infinity]] ||<br />
|-<br />
| November 10, 2014 || Marko Budisic || [[#Marko Budisic | Mathematics of epidemics ]] ||<br />
|-<br />
| November 17, 2014 || Nigel Boston || [[#Nigel Boston | Same bad channel]] ||<br />
|-<br />
| <strike>November 24, 2014</strike> || <strike>Daniel Erman</strike> || [[#TBA | <strike>How to catch a (data) thief </strike> Cancelled or weather]] ||<br />
|-<br />
| December 1, 2014 || Daniel Erman || [[#TBA | How to catch a (data) thief]] ||<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Spring 2015 <br />
|-<br />
| <strike>January 26, 2015 </strike> || TBA || [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 2, 2015 || Soledad Benguria || [[#TBA | Exploring Palindromes]] ||<br />
|-<br />
| February 9, 2015 || Jeff Linderoth|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 16, 2015 || Simon Marshall || [[#Simon Marshall | The Ant Walk]] ||<br />
|-<br />
| February 23, 2015 || Uri Andrews || [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 2, 2015 || Jordan Ellenberg|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 9, 2015 || Ali Lynch || [[#TBA | Mathematical Games and Winning Strategies]] ||<br />
|-<br />
| March 16, 2015 || Daniel Schultheis || [[#TBA | Picture Hanging and Secret Algebra]] ||<br />
|-<br />
| March 23, 2015 || Betsy Stovall|| [[#Ches | Divisibility Cheats]] ||<br />
|-<br />
| March 30, 2015 || No meeting|| [[#TBA | UW Spring Break]] ||<br />
|-<br />
| April 6, 2015 || Julie Mitchell || [[#Julie Mitchell | Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion]] ||<br />
|-<br />
| April 13, 2015 || Jessica Lin ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 20, 2015 || DJ Bruce ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 27, 2015 || David Anderson ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| May 4, 2015 || Daniel Ross ||[[#TBA |Last meeting of semester!]] ||<br />
|-<br />
|}<br />
<br />
</center><br />
<br />
== Abstracts ==<br />
<br />
===Philip Matchett Wood=== <br />
''Pictures and Puzzles''<br />
<br />
When does a simple picture solve a tricky puzzle? Come and learn about how line-and-dot drawing can solve complex puzzles, and create some new puzzles besides!<br />
<br />
===DJ Bruce=== <br />
''Is any knot the unknot?<br />
<br />
Abstract: You're walking home from school, and you pull out your head phones to listen to some tunes. However, inevitably they are a horribly tangled mess, but are they really a knot? We'll talk about what exactly is a knot, and how we can tell when something is not the unknot.<br />
<br />
===David Sondak===<br />
''Fluids, Math and Oobleck!''<br />
<br />
We will explore the magical world of fluids and their relationship to mathematics. As an example of fluids and math in the real world, we will make the living fluid oobleck and discuss some of its mathematical properties.<br />
<br />
=== George Craciun===<br />
''Proofs without words (but with plenty of pictures)''<br />
<br />
We will discuss mathematical proofs that can be done using only pictures or figures. If you want to see many such examples you can check out the book "Proofs without Words: Exercises in Visual Thinking" by Roger B. Nelsen. For more information also look at the wikipedia page http://en.wikipedia.org/wiki/Proof_without_words , where you can find links to Java Applets that show animations of proofs without words, such as http://usamts.org/Gallery/G_Gallery.php .<br />
<br />
<br />
=== Daniel Hast===<br />
''Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity''<br />
<br />
We'll explore systems of arithmetic where numbers loop back around to zero (like the hours on a clock!), called "modular arithmetic". Which numbers are perfect squares in such systems? Gauss, one of the greatest mathematicians in history, called the remarkable answer the "golden theorem".<br />
<br />
=== Alisha Zachariah===<br />
''What is infinity anyway''<br />
<br />
Infinity has a long history of having confounded and fascinated thinkers. We will take a look at some fundamental problems that early mathematicians grappled with and see some ways to understand infinity that have contributed to how we do math today.<br />
<br />
===Marko Budisic===<br />
''Mathematics of epidemics''<br />
<br />
Infectious diseases in our communities often make it into daily conversation: "There's a nasty cold going around.", "It's the flu season, get your shots.", and even, "There are news of a zombie outbreak!" Come hear how math gets applied to something as messy as spread of disease. We will use our wits, pencils, and computers to understand the progress of headaches, common cold, zombie outbreaks, and even ebola, a disease that is currently making the news.<br />
<br />
===Nigel Boston===<br />
''Same bad channel''<br />
<br />
How do we get such clear photos of the comet in the news?<br />
A 20 watt transmitter sends signals 500 million km through space to<br />
us and yet amazingly they survive this ordeal error-free. What's<br />
behind this is error-correcting codes. I'll give some of the basics,<br />
some related puzzles, and some challenges.<br />
<br />
===Soledad Benguria===<br />
''Exploring Palindromes''<br />
<br />
A Palindrome is a word or a number that reads the same forward and backwards. For example, Hannah, radar and civic are palindromic words, and 34743, 6446 are palindromic numbers. We will explore some curious properties of palindromes, and talk about what makes the number 196 special. <br />
<br />
===Simon Marshall===<br />
''The Ant Walk''<br />
<br />
An ant is walking on a grid in the plane, but it can only move north or east. How many ways are there for it to get from one square to another? The numbers that appear when we answer this question have a wealth of interesting properties.<br />
<br />
<br />
<br />
===Betsy Stovall===<br />
''Divisibility Cheats''<br />
<br />
We will discuss simple ways to determine whether one number is evenly divisible by a smaller one and also how to prove these facts. If time permits, we will also look at divisibility rules in bases other than 10. <br />
<br />
===Julie Mitchell=== <br />
''Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion''<br />
<br />
We will learn about motion subject to constraints. Mathematics based on these principles helps us build robots, explains human motion, and helps us model the shape of proteins like enzymes and antibodies. <br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]<br />
<br />
=Link for presenters (in progress)=<br />
[[Link to Presentation Advice | https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations]]</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Madison_Math_Circle&diff=9602Madison Math Circle2015-04-06T19:20:21Z<p>Mitchell: /* Meetings for Fall 2014 and Spring 2015 */</p>
<hr />
<div>=Weekly Meeting=<br />
We have a weekly meeting, <b>Monday at 6pm in 120 Ingraham Hall</b>, during the school year. <b>New students are welcome at any point! </b> There is no required registration, no fee, and the talks are independent of one another, so you can just show up any week. See below for directions. <br />
<br />
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120, on the UW-Madison campus).<br />
<br />
=What is a Math Circle?=<br />
The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.<br />
<br />
The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.<br />
<br />
<br />
[[Image: MathCircle_2.jpg|500px]] <br />
<br />
[[Image: MathCircle_4.jpg|500px]] <br />
<br />
<br />
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=All right, I want to come!=<br />
==Directions and parking==<br />
Meetings are held in 120 Ingraham Hall.<br />
<br />
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;"><br />
[[File: Ingraham_Map.jpg|400px]]</div><br />
<br />
'''Parking.''' Parking on campus is rather limited. Here is as list of some options:<br />
<br />
*Directly in front of Ingraham hall, 2 metered spots (25 minute max) in [http://goo.gl/maps/HhFUm Lot 11 off of Observatory Drive].<br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/3IFaw these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/Gkx1C in Lot 26 along Observatory Drive].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/yFwNr these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/vs17X in Lot 34]. <br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/9NNNm these directions], 2 metered spots (25 minute max) [http://goo.gl/maps/ukTcu in front of Lathrop Hall].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/P156B these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .<br />
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].<br />
<br />
==Email list==<br />
Sign up for our email list: https://lists.math.wisc.edu/listinfo/math-circle<br />
<br />
==Contact the organizers==<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Carolyn Abbott, Gheorghe Craciun, Daniel Erman, Lalit Jain, Ryan Julian, and Philip Matchett Wood): [mailto:math-circle-organizers@math.wisc.edu math-circle-organizers@math.wisc.edu]. We are always interested in feedback!<br />
<br />
==Report on Math Circle in 2013-14==<br />
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf Annual Report]<br />
<br />
==Flyer==<br />
Please feel free to distribute our flyer! <br />
[https://www.math.wisc.edu/wiki/images/Flyer_MMSD.pdf Flyer]<br />
<br />
==Help us grow!==<br />
If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:<br />
*Posting our flyer at schools or anywhere that might have interested students<br />
*Discussing the Math Circle with students, parents, teachers, administrators, and others<br />
*Making an announcement about Math Circle at PTO meetings<br />
*Donating to Math Circle<br />
Contact the organizers if you have questions or your own ideas about how to help out.<br />
<br />
=Meetings for Fall 2014 and Spring 2015=<br />
<br />
<center><br />
<br />
All talks are at '''6pm in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120''', unless otherwise noted.<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Fall 2014 <br />
|-<br />
! Date and RSVP links!! Speaker !! Topic !! Link for more info<br />
|-<br />
| September 8, 2014 || Philip Matchett Wood || [[#Philip Matchett Wood | Pictures and Puzzles]] ||<br />
|-<br />
| September 15, 2014 || Jen Beichman || [[#TBA | Playing with geometric sums]] ||<br />
|-<br />
| September 22, 2014 || DJ Bruce || [[#TBA | Is any knot the unknot?]] ||<br />
|-<br />
| September 29, 2014 || Uri Andrews || [[#TBA | The games of Criss Cross and Brussels Sprouts]] ||<br />
|-<br />
| October 6, 2014 || David Sondak || [[#David Sondak | Fluids, Math, and Oobleck!]] ||<br />
|-<br />
| October 13, 2014 || George Craciun || [[#George Craciun | Proofs without words (but with plenty of pictures)]] ||<br />
|-<br />
| October 20, 2014 || Scott Hottovy || [[#TBA | Coming soon!]] ||<br />
|-<br />
| October 27, 2014 || Daniel Hast || [[#Hast | Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity]] ||<br />
|-<br />
| November 3, 2014 || Alisha Zachariah || [[#TBA | Infinity]] ||<br />
|-<br />
| November 10, 2014 || Marko Budisic || [[#Marko Budisic | Mathematics of epidemics ]] ||<br />
|-<br />
| November 17, 2014 || Nigel Boston || [[#Nigel Boston | Same bad channel]] ||<br />
|-<br />
| <strike>November 24, 2014</strike> || <strike>Daniel Erman</strike> || [[#TBA | <strike>How to catch a (data) thief </strike> Cancelled or weather]] ||<br />
|-<br />
| December 1, 2014 || Daniel Erman || [[#TBA | How to catch a (data) thief]] ||<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Spring 2015 <br />
|-<br />
| <strike>January 26, 2015 </strike> || TBA || [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 2, 2015 || Soledad Benguria || [[#TBA | Exploring Palindromes]] ||<br />
|-<br />
| February 9, 2015 || Jeff Linderoth|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 16, 2015 || Simon Marshall || [[#Simon Marshall | The Ant Walk]] ||<br />
|-<br />
| February 23, 2015 || Uri Andrews || [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 2, 2015 || Jordan Ellenberg|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 9, 2015 || Ali Lynch || [[#TBA | Mathematical Games and Winning Strategies]] ||<br />
|-<br />
| March 16, 2015 || Daniel Schultheis || [[#TBA | Picture Hanging and Secret Algebra]] ||<br />
|-<br />
| March 23, 2015 || Betsy Stovall|| [[#Ches | Divisibility Cheats]] ||<br />
|-<br />
| March 30, 2015 || No meeting|| [[#TBA | UW Spring Break]] ||<br />
|-<br />
| April 6, 2015 || Julie Mitchell || [[#Julie Mitchell | Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion]] ||<br />
|-<br />
| April 13, 2015 || Jessica Lin ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 20, 2015 || DJ Bruce ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 27, 2015 || David Anderson ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| May 4, 2015 || Daniel Ross ||[[#TBA |Last meeting of semester!]] ||<br />
|-<br />
|}<br />
<br />
</center><br />
<br />
== Abstracts ==<br />
<br />
===Philip Matchett Wood=== <br />
''Pictures and Puzzles''<br />
<br />
When does a simple picture solve a tricky puzzle? Come and learn about how line-and-dot drawing can solve complex puzzles, and create some new puzzles besides!<br />
<br />
===DJ Bruce=== <br />
''Is any knot the unknot?<br />
<br />
Abstract: You're walking home from school, and you pull out your head phones to listen to some tunes. However, inevitably they are a horribly tangled mess, but are they really a knot? We'll talk about what exactly is a knot, and how we can tell when something is not the unknot.<br />
<br />
===David Sondak===<br />
''Fluids, Math and Oobleck!''<br />
<br />
We will explore the magical world of fluids and their relationship to mathematics. As an example of fluids and math in the real world, we will make the living fluid oobleck and discuss some of its mathematical properties.<br />
<br />
=== George Craciun===<br />
''Proofs without words (but with plenty of pictures)''<br />
<br />
We will discuss mathematical proofs that can be done using only pictures or figures. If you want to see many such examples you can check out the book "Proofs without Words: Exercises in Visual Thinking" by Roger B. Nelsen. For more information also look at the wikipedia page http://en.wikipedia.org/wiki/Proof_without_words , where you can find links to Java Applets that show animations of proofs without words, such as http://usamts.org/Gallery/G_Gallery.php .<br />
<br />
<br />
=== Daniel Hast===<br />
''Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity''<br />
<br />
We'll explore systems of arithmetic where numbers loop back around to zero (like the hours on a clock!), called "modular arithmetic". Which numbers are perfect squares in such systems? Gauss, one of the greatest mathematicians in history, called the remarkable answer the "golden theorem".<br />
<br />
=== Alisha Zachariah===<br />
''What is infinity anyway''<br />
<br />
Infinity has a long history of having confounded and fascinated thinkers. We will take a look at some fundamental problems that early mathematicians grappled with and see some ways to understand infinity that have contributed to how we do math today.<br />
<br />
===Marko Budisic===<br />
''Mathematics of epidemics''<br />
<br />
Infectious diseases in our communities often make it into daily conversation: "There's a nasty cold going around.", "It's the flu season, get your shots.", and even, "There are news of a zombie outbreak!" Come hear how math gets applied to something as messy as spread of disease. We will use our wits, pencils, and computers to understand the progress of headaches, common cold, zombie outbreaks, and even ebola, a disease that is currently making the news.<br />
<br />
===Nigel Boston===<br />
''Same bad channel''<br />
<br />
How do we get such clear photos of the comet in the news?<br />
A 20 watt transmitter sends signals 500 million km through space to<br />
us and yet amazingly they survive this ordeal error-free. What's<br />
behind this is error-correcting codes. I'll give some of the basics,<br />
some related puzzles, and some challenges.<br />
<br />
===Soledad Benguria===<br />
''Exploring Palindromes''<br />
<br />
A Palindrome is a word or a number that reads the same forward and backwards. For example, Hannah, radar and civic are palindromic words, and 34743, 6446 are palindromic numbers. We will explore some curious properties of palindromes, and talk about what makes the number 196 special. <br />
<br />
===Simon Marshall===<br />
''The Ant Walk''<br />
<br />
An ant is walking on a grid in the plane, but it can only move north or east. How many ways are there for it to get from one square to another? The numbers that appear when we answer this question have a wealth of interesting properties.<br />
<br />
<br />
<br />
===Betsy Stovall===<br />
''Divisibility Cheats''<br />
<br />
We will discuss simple ways to determine whether one number is evenly divisible by a smaller one and also how to prove these facts. If time permits, we will also look at divisibility rules in bases other than 10. <br />
<br />
===Julie Mitchell=== <br />
''Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion''<br />
<br />
We will learn about motion subject to constraints. Mathematics based on these principles helps us build robots, explains human motion, and helps us model the shape of proteins like enzymes and antibodies. <br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]<br />
<br />
=Link for presenters (in progress)=<br />
[[https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations]]</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Madison_Math_Circle&diff=9601Madison Math Circle2015-04-06T19:19:42Z<p>Mitchell: /* Meetings for Fall 2014 and Spring 2015 */</p>
<hr />
<div>=Weekly Meeting=<br />
We have a weekly meeting, <b>Monday at 6pm in 120 Ingraham Hall</b>, during the school year. <b>New students are welcome at any point! </b> There is no required registration, no fee, and the talks are independent of one another, so you can just show up any week. See below for directions. <br />
<br />
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120, on the UW-Madison campus).<br />
<br />
=What is a Math Circle?=<br />
The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.<br />
<br />
The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.<br />
<br />
<br />
[[Image: MathCircle_2.jpg|500px]] <br />
<br />
[[Image: MathCircle_4.jpg|500px]] <br />
<br />
<br />
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=All right, I want to come!=<br />
==Directions and parking==<br />
Meetings are held in 120 Ingraham Hall.<br />
<br />
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;"><br />
[[File: Ingraham_Map.jpg|400px]]</div><br />
<br />
'''Parking.''' Parking on campus is rather limited. Here is as list of some options:<br />
<br />
*Directly in front of Ingraham hall, 2 metered spots (25 minute max) in [http://goo.gl/maps/HhFUm Lot 11 off of Observatory Drive].<br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/3IFaw these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/Gkx1C in Lot 26 along Observatory Drive].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/yFwNr these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/vs17X in Lot 34]. <br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/9NNNm these directions], 2 metered spots (25 minute max) [http://goo.gl/maps/ukTcu in front of Lathrop Hall].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/P156B these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .<br />
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].<br />
<br />
==Email list==<br />
Sign up for our email list: https://lists.math.wisc.edu/listinfo/math-circle<br />
<br />
==Contact the organizers==<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Carolyn Abbott, Gheorghe Craciun, Daniel Erman, Lalit Jain, Ryan Julian, and Philip Matchett Wood): [mailto:math-circle-organizers@math.wisc.edu math-circle-organizers@math.wisc.edu]. We are always interested in feedback!<br />
<br />
==Report on Math Circle in 2013-14==<br />
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf Annual Report]<br />
<br />
==Flyer==<br />
Please feel free to distribute our flyer! <br />
[https://www.math.wisc.edu/wiki/images/Flyer_MMSD.pdf Flyer]<br />
<br />
==Help us grow!==<br />
If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:<br />
*Posting our flyer at schools or anywhere that might have interested students<br />
*Discussing the Math Circle with students, parents, teachers, administrators, and others<br />
*Making an announcement about Math Circle at PTO meetings<br />
*Donating to Math Circle<br />
Contact the organizers if you have questions or your own ideas about how to help out.<br />
<br />
=Meetings for Fall 2014 and Spring 2015=<br />
<br />
<center><br />
<br />
All talks are at '''6pm in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120''', unless otherwise noted.<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Fall 2014 <br />
|-<br />
! Date and RSVP links!! Speaker !! Topic !! Link for more info<br />
|-<br />
| September 8, 2014 || Philip Matchett Wood || [[#Philip Matchett Wood | Pictures and Puzzles]] ||<br />
|-<br />
| September 15, 2014 || Jen Beichman || [[#TBA | Playing with geometric sums]] ||<br />
|-<br />
| September 22, 2014 || DJ Bruce || [[#TBA | Is any knot the unknot?]] ||<br />
|-<br />
| September 29, 2014 || Uri Andrews || [[#TBA | The games of Criss Cross and Brussels Sprouts]] ||<br />
|-<br />
| October 6, 2014 || David Sondak || [[#David Sondak | Fluids, Math, and Oobleck!]] ||<br />
|-<br />
| October 13, 2014 || George Craciun || [[#George Craciun | Proofs without words (but with plenty of pictures)]] ||<br />
|-<br />
| October 20, 2014 || Scott Hottovy || [[#TBA | Coming soon!]] ||<br />
|-<br />
| October 27, 2014 || Daniel Hast || [[#Hast | Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity]] ||<br />
|-<br />
| November 3, 2014 || Alisha Zachariah || [[#TBA | Infinity]] ||<br />
|-<br />
| November 10, 2014 || Marko Budisic || [[#Marko Budisic | Mathematics of epidemics ]] ||<br />
|-<br />
| November 17, 2014 || Nigel Boston || [[#Nigel Boston | Same bad channel]] ||<br />
|-<br />
| <strike>November 24, 2014</strike> || <strike>Daniel Erman</strike> || [[#TBA | <strike>How to catch a (data) thief </strike> Cancelled or weather]] ||<br />
|-<br />
| December 1, 2014 || Daniel Erman || [[#TBA | How to catch a (data) thief]] ||<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Spring 2015 <br />
|-<br />
| <strike>January 26, 2015 </strike> || TBA || [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 2, 2015 || Soledad Benguria || [[#TBA | Exploring Palindromes]] ||<br />
|-<br />
| February 9, 2015 || Jeff Linderoth|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 16, 2015 || Simon Marshall || [[#Simon Marshall | The Ant Walk]] ||<br />
|-<br />
| February 23, 2015 || Uri Andrews || [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 2, 2015 || Jordan Ellenberg|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 9, 2015 || Ali Lynch || [[#TBA | Mathematical Games and Winning Strategies]] ||<br />
|-<br />
| March 16, 2015 || Daniel Schultheis || [[#TBA | Picture Hanging and Secret Algebra]] ||<br />
|-<br />
| March 23, 2015 || Betsy Stovall|| [[#Ches | Divisibility Cheats]] ||<br />
|-<br />
| March 30, 2015 || No meeting|| [[#TBA | UW Spring Break]] ||<br />
|-<br />
| April 6, 2015 || Julie Mitchell || [[#Julie Mitchell | Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion]] ||<br />
|-<br />
| April 13, 2015 || Jessica Lin ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 20, 2015 || DJ Bruce ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 27, 2015 || David Anderson ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| May 4, 2015 || Daniel Ross ||[[#TBA |Last meeting of semester!]] ||<br />
|-<br />
|}<br />
<br />
</center><br />
<br />
== Abstracts ==<br />
<br />
===Julie Mitchell=== <br />
''Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion''<br />
<br />
We will learn about motion subject to constraints. Mathematics based on these principles helps us build robots, explains human motion, and helps us model the shape of proteins like enzymes and antibodies. <br />
<br />
===Philip Matchett Wood=== <br />
''Pictures and Puzzles''<br />
<br />
When does a simple picture solve a tricky puzzle? Come and learn about how line-and-dot drawing can solve complex puzzles, and create some new puzzles besides!<br />
<br />
===DJ Bruce=== <br />
''Is any knot the unknot?<br />
<br />
Abstract: You're walking home from school, and you pull out your head phones to listen to some tunes. However, inevitably they are a horribly tangled mess, but are they really a knot? We'll talk about what exactly is a knot, and how we can tell when something is not the unknot.<br />
<br />
===David Sondak===<br />
''Fluids, Math and Oobleck!''<br />
<br />
We will explore the magical world of fluids and their relationship to mathematics. As an example of fluids and math in the real world, we will make the living fluid oobleck and discuss some of its mathematical properties.<br />
<br />
=== George Craciun===<br />
''Proofs without words (but with plenty of pictures)''<br />
<br />
We will discuss mathematical proofs that can be done using only pictures or figures. If you want to see many such examples you can check out the book "Proofs without Words: Exercises in Visual Thinking" by Roger B. Nelsen. For more information also look at the wikipedia page http://en.wikipedia.org/wiki/Proof_without_words , where you can find links to Java Applets that show animations of proofs without words, such as http://usamts.org/Gallery/G_Gallery.php .<br />
<br />
<br />
=== Daniel Hast===<br />
''Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity''<br />
<br />
We'll explore systems of arithmetic where numbers loop back around to zero (like the hours on a clock!), called "modular arithmetic". Which numbers are perfect squares in such systems? Gauss, one of the greatest mathematicians in history, called the remarkable answer the "golden theorem".<br />
<br />
=== Alisha Zachariah===<br />
''What is infinity anyway''<br />
<br />
Infinity has a long history of having confounded and fascinated thinkers. We will take a look at some fundamental problems that early mathematicians grappled with and see some ways to understand infinity that have contributed to how we do math today.<br />
<br />
===Marko Budisic===<br />
''Mathematics of epidemics''<br />
<br />
Infectious diseases in our communities often make it into daily conversation: "There's a nasty cold going around.", "It's the flu season, get your shots.", and even, "There are news of a zombie outbreak!" Come hear how math gets applied to something as messy as spread of disease. We will use our wits, pencils, and computers to understand the progress of headaches, common cold, zombie outbreaks, and even ebola, a disease that is currently making the news.<br />
<br />
===Nigel Boston===<br />
''Same bad channel''<br />
<br />
How do we get such clear photos of the comet in the news?<br />
A 20 watt transmitter sends signals 500 million km through space to<br />
us and yet amazingly they survive this ordeal error-free. What's<br />
behind this is error-correcting codes. I'll give some of the basics,<br />
some related puzzles, and some challenges.<br />
<br />
===Soledad Benguria===<br />
''Exploring Palindromes''<br />
<br />
A Palindrome is a word or a number that reads the same forward and backwards. For example, Hannah, radar and civic are palindromic words, and 34743, 6446 are palindromic numbers. We will explore some curious properties of palindromes, and talk about what makes the number 196 special. <br />
<br />
===Simon Marshall===<br />
''The Ant Walk''<br />
<br />
An ant is walking on a grid in the plane, but it can only move north or east. How many ways are there for it to get from one square to another? The numbers that appear when we answer this question have a wealth of interesting properties.<br />
<br />
<br />
<br />
===Betsy Stovall===<br />
''Divisibility Cheats''<br />
<br />
We will discuss simple ways to determine whether one number is evenly divisible by a smaller one and also how to prove these facts. If time permits, we will also look at divisibility rules in bases other than 10. <br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]<br />
<br />
=Link for presenters (in progress)=<br />
[[https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations]]</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Madison_Math_Circle&diff=9600Madison Math Circle2015-04-06T19:18:34Z<p>Mitchell: </p>
<hr />
<div>=Weekly Meeting=<br />
We have a weekly meeting, <b>Monday at 6pm in 120 Ingraham Hall</b>, during the school year. <b>New students are welcome at any point! </b> There is no required registration, no fee, and the talks are independent of one another, so you can just show up any week. See below for directions. <br />
<br />
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120, on the UW-Madison campus).<br />
<br />
=What is a Math Circle?=<br />
The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.<br />
<br />
The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.<br />
<br />
<br />
[[Image: MathCircle_2.jpg|500px]] <br />
<br />
[[Image: MathCircle_4.jpg|500px]] <br />
<br />
<br />
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=All right, I want to come!=<br />
==Directions and parking==<br />
Meetings are held in 120 Ingraham Hall.<br />
<br />
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;"><br />
[[File: Ingraham_Map.jpg|400px]]</div><br />
<br />
'''Parking.''' Parking on campus is rather limited. Here is as list of some options:<br />
<br />
*Directly in front of Ingraham hall, 2 metered spots (25 minute max) in [http://goo.gl/maps/HhFUm Lot 11 off of Observatory Drive].<br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/3IFaw these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/Gkx1C in Lot 26 along Observatory Drive].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/yFwNr these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/vs17X in Lot 34]. <br />
*A 0.2 mile walk to Ingraham Hall via [http://goo.gl/maps/9NNNm these directions], 2 metered spots (25 minute max) [http://goo.gl/maps/ukTcu in front of Lathrop Hall].<br />
*A 0.3 mile walk to Ingraham Hall via [http://goo.gl/maps/P156B these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .<br />
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].<br />
<br />
==Email list==<br />
Sign up for our email list: https://lists.math.wisc.edu/listinfo/math-circle<br />
<br />
==Contact the organizers==<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Carolyn Abbott, Gheorghe Craciun, Daniel Erman, Lalit Jain, Ryan Julian, and Philip Matchett Wood): [mailto:math-circle-organizers@math.wisc.edu math-circle-organizers@math.wisc.edu]. We are always interested in feedback!<br />
<br />
==Report on Math Circle in 2013-14==<br />
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf Annual Report]<br />
<br />
==Flyer==<br />
Please feel free to distribute our flyer! <br />
[https://www.math.wisc.edu/wiki/images/Flyer_MMSD.pdf Flyer]<br />
<br />
==Help us grow!==<br />
If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:<br />
*Posting our flyer at schools or anywhere that might have interested students<br />
*Discussing the Math Circle with students, parents, teachers, administrators, and others<br />
*Making an announcement about Math Circle at PTO meetings<br />
*Donating to Math Circle<br />
Contact the organizers if you have questions or your own ideas about how to help out.<br />
<br />
=Meetings for Fall 2014 and Spring 2015=<br />
<br />
<center><br />
<br />
All talks are at '''6pm in [http://goo.gl/maps/6k5IA Ingraham Hall] room 120''', unless otherwise noted.<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Fall 2014 <br />
|-<br />
! Date and RSVP links!! Speaker !! Topic !! Link for more info<br />
|-<br />
| September 8, 2014 || Philip Matchett Wood || [[#Philip Matchett Wood | Pictures and Puzzles]] ||<br />
|-<br />
| September 15, 2014 || Jen Beichman || [[#TBA | Playing with geometric sums]] ||<br />
|-<br />
| September 22, 2014 || DJ Bruce || [[#TBA | Is any knot the unknot?]] ||<br />
|-<br />
| September 29, 2014 || Uri Andrews || [[#TBA | The games of Criss Cross and Brussels Sprouts]] ||<br />
|-<br />
| October 6, 2014 || David Sondak || [[#David Sondak | Fluids, Math, and Oobleck!]] ||<br />
|-<br />
| October 13, 2014 || George Craciun || [[#George Craciun | Proofs without words (but with plenty of pictures)]] ||<br />
|-<br />
| October 20, 2014 || Scott Hottovy || [[#TBA | Coming soon!]] ||<br />
|-<br />
| October 27, 2014 || Daniel Hast || [[#Hast | Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity]] ||<br />
|-<br />
| November 3, 2014 || Alisha Zachariah || [[#TBA | Infinity]] ||<br />
|-<br />
| November 10, 2014 || Marko Budisic || [[#Marko Budisic | Mathematics of epidemics ]] ||<br />
|-<br />
| November 17, 2014 || Nigel Boston || [[#Nigel Boston | Same bad channel]] ||<br />
|-<br />
| <strike>November 24, 2014</strike> || <strike>Daniel Erman</strike> || [[#TBA | <strike>How to catch a (data) thief </strike> Cancelled or weather]] ||<br />
|-<br />
| December 1, 2014 || Daniel Erman || [[#TBA | How to catch a (data) thief]] ||<br />
|-<br />
! colspan="4" style="background: #ffdead;" align="center" | Spring 2015 <br />
|-<br />
| <strike>January 26, 2015 </strike> || TBA || [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 2, 2015 || Soledad Benguria || [[#TBA | Exploring Palindromes]] ||<br />
|-<br />
| February 9, 2015 || Jeff Linderoth|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| February 16, 2015 || Simon Marshall || [[#Simon Marshall | The Ant Walk]] ||<br />
|-<br />
| February 23, 2015 || Uri Andrews || [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 2, 2015 || Jordan Ellenberg|| [[#TBA | Coming soon!]] ||<br />
|-<br />
| March 9, 2015 || Ali Lynch || [[#TBA | Mathematical Games and Winning Strategies]] ||<br />
|-<br />
| March 16, 2015 || Daniel Schultheis || [[#TBA | Picture Hanging and Secret Algebra]] ||<br />
|-<br />
| March 23, 2015 || Betsy Stovall|| [[#Ches | Divisibility Cheats]] ||<br />
|-<br />
| March 30, 2015 || No meeting|| [[#TBA | UW Spring Break]] ||<br />
|-<br />
| April 6, 2015 || Julie Mitchell || [[#ProteinsRobots | Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion]] ||<br />
|-<br />
| April 13, 2015 || Jessica Lin ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 20, 2015 || DJ Bruce ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| April 27, 2015 || David Anderson ||[[#TBA | Coming soon!]] ||<br />
|-<br />
| May 4, 2015 || Daniel Ross ||[[#TBA |Last meeting of semester!]] ||<br />
|-<br />
|}<br />
<br />
</center><br />
<br />
== Abstracts ==<br />
<br />
===Julie Mitchell=== <br />
''Protein Folding and Robot Dances: Understanding the Basics of Kinematic Motion''<br />
<br />
We will learn about motion subject to constraints. Mathematics based on these principles helps us build robots, explains human motion, and helps us model the shape of proteins like enzymes and antibodies. <br />
<br />
===Philip Matchett Wood=== <br />
''Pictures and Puzzles''<br />
<br />
When does a simple picture solve a tricky puzzle? Come and learn about how line-and-dot drawing can solve complex puzzles, and create some new puzzles besides!<br />
<br />
===DJ Bruce=== <br />
''Is any knot the unknot?<br />
<br />
Abstract: You're walking home from school, and you pull out your head phones to listen to some tunes. However, inevitably they are a horribly tangled mess, but are they really a knot? We'll talk about what exactly is a knot, and how we can tell when something is not the unknot.<br />
<br />
===David Sondak===<br />
''Fluids, Math and Oobleck!''<br />
<br />
We will explore the magical world of fluids and their relationship to mathematics. As an example of fluids and math in the real world, we will make the living fluid oobleck and discuss some of its mathematical properties.<br />
<br />
=== George Craciun===<br />
''Proofs without words (but with plenty of pictures)''<br />
<br />
We will discuss mathematical proofs that can be done using only pictures or figures. If you want to see many such examples you can check out the book "Proofs without Words: Exercises in Visual Thinking" by Roger B. Nelsen. For more information also look at the wikipedia page http://en.wikipedia.org/wiki/Proof_without_words , where you can find links to Java Applets that show animations of proofs without words, such as http://usamts.org/Gallery/G_Gallery.php .<br />
<br />
<br />
=== Daniel Hast===<br />
''Clock arithmetic and perfect squares: a "Golden Theorem" of reciprocity''<br />
<br />
We'll explore systems of arithmetic where numbers loop back around to zero (like the hours on a clock!), called "modular arithmetic". Which numbers are perfect squares in such systems? Gauss, one of the greatest mathematicians in history, called the remarkable answer the "golden theorem".<br />
<br />
=== Alisha Zachariah===<br />
''What is infinity anyway''<br />
<br />
Infinity has a long history of having confounded and fascinated thinkers. We will take a look at some fundamental problems that early mathematicians grappled with and see some ways to understand infinity that have contributed to how we do math today.<br />
<br />
===Marko Budisic===<br />
''Mathematics of epidemics''<br />
<br />
Infectious diseases in our communities often make it into daily conversation: "There's a nasty cold going around.", "It's the flu season, get your shots.", and even, "There are news of a zombie outbreak!" Come hear how math gets applied to something as messy as spread of disease. We will use our wits, pencils, and computers to understand the progress of headaches, common cold, zombie outbreaks, and even ebola, a disease that is currently making the news.<br />
<br />
===Nigel Boston===<br />
''Same bad channel''<br />
<br />
How do we get such clear photos of the comet in the news?<br />
A 20 watt transmitter sends signals 500 million km through space to<br />
us and yet amazingly they survive this ordeal error-free. What's<br />
behind this is error-correcting codes. I'll give some of the basics,<br />
some related puzzles, and some challenges.<br />
<br />
===Soledad Benguria===<br />
''Exploring Palindromes''<br />
<br />
A Palindrome is a word or a number that reads the same forward and backwards. For example, Hannah, radar and civic are palindromic words, and 34743, 6446 are palindromic numbers. We will explore some curious properties of palindromes, and talk about what makes the number 196 special. <br />
<br />
===Simon Marshall===<br />
''The Ant Walk''<br />
<br />
An ant is walking on a grid in the plane, but it can only move north or east. How many ways are there for it to get from one square to another? The numbers that appear when we answer this question have a wealth of interesting properties.<br />
<br />
<br />
<br />
===Betsy Stovall===<br />
''Divisibility Cheats''<br />
<br />
We will discuss simple ways to determine whether one number is evenly divisible by a smaller one and also how to prove these facts. If time permits, we will also look at divisibility rules in bases other than 10. <br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]<br />
<br />
=Link for presenters (in progress)=<br />
[[https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations]]</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/absS14&diff=6779Applied/ACMS/absS142014-03-19T13:15:42Z<p>Mitchell: /* ACMS Abstracts: Spring 2014 */</p>
<hr />
<div>= ACMS Abstracts: Spring 2014 =<br />
<br />
=== Laura McLay (UW-Madison) ===<br />
<br />
''Covering optimization models for emergency response, security, and resilience''<br />
<br />
Covering models are used in a broad spectrum of applications. This talk will first overview various covering models and then focus on covering models and algorithms for emergency medical services. These emergency medical service models reflect multiple partial coverage. Lastly, I will also talk about covering formulations for security and disaster applications.<br />
<br />
=== Adrianna Gillman (Dartmouth) ===<br />
<br />
''Fast direct solvers for linear partial differential equations''<br />
<br />
The cost of solving a large linear system often determines what can and cannot be modeled computationally in many areas of science <br />
and engineering. Unlike Gaussian elimination which scales cubically with the respect to the number of unknowns, fast direct solvers construct an inverse of a linear in system with a cost that scales linearly or nearly linearly. The fast direct solvers presented in this talk are designed for the linear systems arising from the discretization of linear partial differential equations. These methods are more robust, versatile and stable than iterative schemes. Since an inverse is computed, additional right-hand sides can be processed rapidly. The talk will give the audience a brief introduction to the core ideas, an overview of recent advancements, and it will conclude with a sampling of challenging application examples including the scattering of waves.<br />
<br />
=== Yaniv Plan (Michigan) ===<br />
<br />
''Low-dimensionality in mathematical signal processing''<br />
<br />
Natural images tend to be compressible, i.e., the amount of information needed to encode an image is small. This conciseness of information -- in other words, low dimensionality of the signal -- is found throughout a plethora of applications ranging from MRI to quantum state tomography. It is natural to ask: can the number of measurements needed to determine a signal be comparable with the information content? We explore this question under modern models of low-dimensionality and measurement acquisition.<br />
<br />
=== Harvey Segur (Colorado) ===<br />
<br />
''The nonlinear Schrödinger equation, dissipation and ocean swell''<br />
<br />
The focus of this talk is less about how to solve a particular mathematical model, and more about how to find the right model of a physical problem. <br />
<br />
The nonlinear Schrödinger (NLS) equation was discovered as an approximate model of wave propagation in several branches of physics in the 1960s. It has become one of the most studied models in mathematical physics, because of its interesting mathematical structure and because of its wide applicability – it arises naturally as an approximate model of surface water waves, nonlinear optics, Bose-Einstein condensates and plasma physics. <br />
<br />
In every physical application, the derivation of NLS requires that one neglect the (small) dissipation that exists in the physical problem. But our studies of water waves (including freely propagating ocean waves, called “ocean swell”) have shown that even though dissipation is small, neglecting it can give qualitatively incorrect results. This talk describes an ongoing quest to find an appropriate generalization of NLS that correctly predicts experimental data for ocean swell. As will be shown, adding a dissipative term to the usual NLS model gives correct predictions in some situations. In other situations, both NLS and dissipative NLS give incorrect predictions, and the “right model” is still to be found.<br />
<br />
This is joint work with Diane Henderson, at Penn State.<br />
<br />
=== Sangtae Kim (Purdue) ===<br />
<br />
''The Faxén Laws of Stokes flow and their connection to singularity solutions''<br />
<br />
=== Elena D'Onghia (UW) ===<br />
<br />
''The origin of spiral arms in galactic disks''<br />
<br />
The precise nature of spiral structure in galaxies remains uncertain. Using high-resolution N-body simulations, I follow the motions of stars under the influence of gravity, and show that mass concentrations with properties similar to those of giant molecular clouds or clumps of gas in the galactic disk can induce the development of spiral arms through a process termed "swing amplification". However, unlike in earlier work, I will demonstrate that the eventual response of the disk is highly non-linear, significantly modifying the formation and longevity of the resulting patterns. I will discuss how these findings affect phenomena occurring in the stellar disk, like the migration of the Sun from its birth place.<br />
<br />
=== Michael Shelley (Applied Math Lab, Courant Institute, NYU) ===<br />
<br />
''Mathematical models of soft active materials''<br />
<br />
Soft materials that have an "active" microstructure are important examples of so-called active matter. Examples include suspensions of motile microorganisms or particles, "active gels" made up of actin and myosin, and suspensions of microtubules cross-linked by motile motor-proteins. These nonequilibrium materials can have unique mechanical properties and organization, show spontaneous activity-driven flows, and are part of self-assembled structures such as the cellular cortex and mitotic spindle. I will discuss the nature and modeling of these materials, focusing on fluids driven by "active stresses" generated by swimming, motor-protein activity, and surface tension gradients. Amusingly, the latter reveals a new class of fluid flow singularities and an unexpected connection to the Keller-Segel equation.<br />
<br />
=== Paul Hand (MIT) ===<br />
<br />
''Evaluating signal recovery algorithms with semirandom models''<br />
<br />
The planted clique and sparse principal component analysis problems involve identifying a specific ordered structure within a noisy environment. There are many algorithms for such tasks, and it is important to have a theoretical understanding of which algorithms are better for "typical" problem instances. The simplest environment for evaluating these algorithms is a planted-random model, where the signal is buried in some uniform noise. This type of model is often not typical enough, as it affords comparable performance for some robust and non-robust algorithms. Thus, there is a need for more sophisticated models. Semirandom models are like planted-random models, but they allow adversarial alteration. The semirandom model prevents methods from exploiting distribution-specific properties that are likely not true in typical problem instances. Thus, they provide a reasonable context in which to evaluate algorithm performance under a robustness requirement. In this talk, we will present existing results for planted clique with planted random and semirandom models. We will also discuss the potential for semirandom models in two other problems: sparse principal component analysis and the problem of finding the sparsest element in a subspace.<br />
<br />
=== Scott Hottovy (UW) ===<br />
<br />
''Modeling with stochastic differential equations: A noisy circuit and thresholds for rainfall''<br />
<br />
In this talk I will discuss modeling physical systems using stochastic differential equations (SDE) with two specific examples: a noisy electrical circuit and the onset of convection in clouds. SDE are used to model many systems governed by deterministic dynamics with intrinsic noise. For some models, when the noise depends on the state of the system, the SDE depends on the construction of the stochastic integral (Itô, Stratonovich). For example, in a population model, the choice of stochastic integral will lead to growth in the Stratonovich construction but extinction in the Itô choice. I will discuss an interesting experiment of an electrical circuit that shifts the SDE model from obeying Stratonovich calculus to obeying Itô calculus.<br />
<br />
In the second part of this talk, I will describe ongoing work with Sam Stechmann on modeling moisture in a one column cloud. Interesting statistics can be solved for exactly by using a simple SDE model, Brownian motion with drift, where the dynamics change when a threshold is reached. I will compare and contrast four different models of the transition to rainfall using random and deterministic thresholds and show that a simplified model can be used as an approximation in some regimes.<br />
<br />
=== Mike Steel (University of Canterbury) ===<br />
<br />
''Tractable models for some discrete random processes arising in evolutionary biology''<br />
<br />
Underlying the study of evolutionary biology is a foundation that draws upon multiple branches of mathematics. In this talk, I will provide a brief overview of certain problems that can be modeled by random processes involving finite graphs. These include evolutionary tree reconstruction, speciation-extinction modeling, ancestral state reconstruction, and the emergence of autocatalytic biochemistry in early life. Some recent new results and open problems will also be described.</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia_2012-2013&diff=5311Colloquia 2012-20132013-04-27T14:45:30Z<p>Mitchell: /* Spring 2013 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
[[Next_Year_Colloquium|Link to tentative 2013-2014 schedule.]]<br />
<br />
<br />
== Spring 2013 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|'''Tues, Jan 15, B139'''<br />
|[http://people.maths.ox.ac.uk/piercel/ Lillian Pierce] (Oxford)<br />
|[[#Pierce|A new twist on the Carleson operator]]<br />
|Denissov<br />
|-<br />
|'''Thurs, Jan 17, 2pm, 901VV'''<br />
|[http://www-personal.umich.edu/~jblasiak/ Jonah Blasiak] (Michigan)<br />
|[[#Blasiak|Positivity, complexity, and the Kronecker problem]]<br />
|Terwilliger<br />
|-<br />
|Jan 25<br />
|[http://www.maths.usyd.edu.au/u/afish/ Alexander Fish] (Sydney)<br />
|[[#Fish|Product sets in amenable groups through a dynamical approach]]<br />
|Gurevich<br />
|-<br />
|Feb 1<br />
|[http://www.math.wisc.edu/~dymarz/ Tullia Dymarz] (Madison)<br />
|[[#Dymarz|Quasisymmetric vs Bi-Lipschitz maps]]<br />
|Street<br />
|-<br />
|Feb 8<br />
|[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault] (Madison)<br />
|[[#Thiffeault|pseudo-Anosovs with small or large dilatation]]<br />
|Roch<br />
|-<br />
|Feb 15<br />
|[http://maeresearch.ucsd.edu/lauga/ Eric Lauga] (UCSD)<br />
|[[#Lauga|Optimization in fluid-based locomotion]]<br />
|Spagnolie<br />
|-<br />
|Feb 22<br />
|[http://math.umn.edu/~svitlana/ Svitlana Mayboroda] (University of Minnesota)<br />
|[[#Mayboroda|Elliptic PDEs, analysis, and potential theory in irregular media]]<br />
|Stovall<br />
|-<br />
|Mar 1<br />
|[http://www.math.harvard.edu/~kwickelg/ Kirsten Wickelgren] (Harvard)<br />
|[[#Wickelgren|Grothendieck's anabelian conjectures]]<br />
|Street<br />
|-<br />
|March 8<br />
|[http://homepages.cae.wisc.edu/~negrut/ Dan Negrut] (UW - Mechanical Engineering)<br />
|[[#Negrut|Using Advanced Computing in Applied Dynamics: From the Dynamics of Granular Material to the Motion of the Mars Rover]]<br />
|Caldararu<br />
|-<br />
|March 15<br />
|[http://www.icmat.es/kurusch/ Kurusch Ebrahimi Fard] (Madrid)<br />
|[[#Fard|Spitzer-type identities in non-commutative Rota-Baxter algebras]]<br />
|Gurvich<br />
|- <br />
|<strike> March 22 </strike><br />
|[http://www2.warwick.ac.uk/fac/sci/maths/people/staff/neil_oconnell/ Neil O'Connell] (Warwick)<br />
|CANCELLED<br />
|Timo Seppalainen<br />
|-<br />
|March 29<br />
|'''Spring Break'''<br />
|No Colloquium<br />
|<br />
|-<br />
|April 5<br />
|[http://hobbes.la.asu.edu/ John Jones] (ASU)<br />
|[[#Jones| Number fields with prescribed ramification]]<br />
|Boston<br />
|-<br />
|April 12<br />
|[http://math.mit.edu/~asnowden/ Andrew Snowden] (MIT)<br />
|[[#Snowden|Large algebraic structures with large amounts of symmetry]]<br />
|Street<br />
|-<br />
|April 19<br />
|Moe Hirsch (Honorary Fellow -- UW Madison)<br />
|[[#Hirsch|The Divine Madness: Mathematics, Myths and Metaphors]]<br />
|Street<br />
|-<br />
|'''Tuesday, April 30, 4PM'''<br />
|[http://www.ens.fr/spip.php?article1296&lang=en Laure Saint-Raymond] (ENS)]<br />
|[[#Saint-Raymond|Wasow Lecture: The Irreversibility in Gas Dynamics, a Matter of Probability]]<br />
|Wasow Lecture<br />
|-<br />
|May 3<br />
|Davesh Maulik (Columbia)<br />
|[[#Maulik|Plane curve singularities and knot invariants]]<br />
|Street<br />
|-<br />
|May 10<br />
|[http://www.wisdom.weizmann.ac.il/~gelbar/ Steve Gelbart] (Weizmann Institute)<br />
|[[#Gelbart| "Zeta"]]<br />
|Gurevich<br />
|}<br />
<br />
== Fall 2012 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 14<br />
|[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg] (Madison)<br />
|[[#Ellenberg|''FI-modules: an introduction'']]<br />
|local<br />
|-<br />
|<strike>'''Sept 20, 4pm'''</strike><br />
|[http://www-stat.stanford.edu/~cgates/PERSI/ Persi Diaconis] (Stanford)<br />
|CANCELLED<br />
|Jean-Luc<br />
|-<br />
|Sept 21<br />
|[http://eaton.math.rpi.edu/faculty/J.McLaughlin/mclauj.html Joyce McLaughlin] (RPI)<br />
|[[#McLaughlin|''Mathematics for Imaging Biomechanical Parameters in Dynamic Elastography'']]<br />
|WIMAW<br />
|-<br />
|Sept 28<br />
|[http://math.mit.edu/~emarberg/ Eric Marberg] (MIT)<br />
|[[#Marberg|''Supercharacters for algebra groups: applications and extensions'']]<br />
|Isaacs<br />
|-<br />
|Oct 5<br />
|[http://math.uchicago.edu/~masur/ Howard Masur] (Chicago)<br />
|[[#Masur|''Winning games for badly approximable real numbers and billiards in polygons'']]<br />
|Dymarz<br />
|-<br />
|'''Wed, Oct 10, 4pm'''<br />
|[http://www.kent.ac.uk/smsas/maths/our-people/profiles/lemmens_bas.html Bas Lemmens] (Univ. of Kent)<br />
|[[#Lemmens|From hyperbolic geometry to nonlinear Perron-Frobenius theory]]<br />
|LAA lecture<br />
|-<br />
|'''Thur, Oct 11, 4pm'''<br />
|[http://www.ma.utexas.edu/users/gamba/ Irene Gamba] (UT-Austin)<br />
|[[#Gamba|Analytical and numerical issues associated with the dynamics of the non-linear Boltzmann equation]]<br />
|WIMAW<br />
|-<br />
|Oct 12<br />
|[http://user.math.uzh.ch/rosenthal/ Joachim Rosenthal] (Univ. of Zurich)<br />
|[[#Rosenthal|Linear Random Network Codes, a Grassmannian Approach]]<br />
|Boston<br />
|-<br />
|Oct 19<br />
|[http://www.math.wisc.edu/~spagnolie/uw/index.html Saverio E Spagnolie] (Madison)<br />
|[[#Spagnolie|Elastic slender bodies in fluids and slender bodies in elastic fluids]]<br />
|Roch<br />
|-<br />
|Oct 26<br />
|[http://math.berkeley.edu/~oeding/Home.html Luke Oeding] (UC Berkeley)<br />
|[[#Oeding|The Trifocal Variety]]<br />
|Gurevich<br />
|-<br />
|'''Tues, Oct 30'''<br />
|[http://www.math.nyu.edu/faculty/majda/ Andrew Majda] (Courant)<br />
|[[#Majda|Data Driven Methods for Complex Turbulent Systems]]<br />
|Smith, Stechmann<br />
|-<br />
|'''Thurs, Nov 1'''<br />
|[http://math.uchicago.edu/~ryzhik/ Lenya Ryzhik] (Chicago)<br />
|[[#Ryzhik|The role of a drift in elliptic and parabolic equations]]<br />
|Kiselev<br />
|-<br />
|Nov 2<br />
|[http://www.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota)<br />
|[[#Sverak|On scale-invariant solutions of the Navier-Stokes equations]]<br />
|Kiselev<br />
|-<br />
|Nov 9<br />
|[http://www.math.wisc.edu/~andrews/ Uri Andrews] (Madison)<br />
|[[#Andrews|Computable Stability Theory]]<br />
|Lempp<br />
|-<br />
|'''Mon, Nov 12'''<br />
|[http://math.mit.edu/~smart/ Charles Smart] (MIT)<br />
|[[#Smart|Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity]]<br />
|Feldman<br />
|-<br />
|'''Mon, Nov 26'''<br />
|[http://www-personal.umich.edu/~erman/ Daniel Erman] (U.Michigan)<br />
|TBA<br />
|Boston<br />
|-<br />
|'''Wed, Nov 28'''<br />
|[http://www.nd.edu/~chill10/ Cameron Hill] (Notre Dame)<br />
|[[#Hill|Genericity in Discrete Mathematics]]<br />
|Lempp<br />
|-<br />
|Nov 30<br />
|[http://www.math.columbia.edu/~namle/ Nam Le] (Columbia)<br />
|[[#Le|Boundary regularity for solutions to the linearized Monge-Ampere equations and applications]]<br />
|Feldman<br />
|-<br />
|Dec 14<br />
|[http://users.math.yale.edu/~alf8/ Amanda Folsom] (Yale)<br />
|[[#Folsom|q-series and quantum modular forms]]<br />
|Ellenberg/WIMAW<br />
|}<br />
<br />
<br />
<br />
== Abstracts ==<br />
<br />
===<span id="Ellenberg"></span>Sept 14: Jordan Ellenberg (UW-Madison) ===<br />
''FI-modules: an introduction''<br />
(joint work with T Church, B Farb, R Nagpal)<br />
<br />
In topology and algebraic geometry one often encounters phenomena of _stability_. A famous example is the cohomology of the moduli space of curves M_g; Harer proved in the 1980s that the sequence of vector spaces H_i(M_g,Q), with g growing and i fixed, has dimension which is eventually constant as g grows with i fixed.<br />
<br />
In many similar situations one is presented with a sequence {V_n}, where the V_n are not merely vector spaces, but come with an action of S_n. In many such situations the dimension of V_n does not become constant as n grows -- but there is still a sense in which it is eventually "always the same representation of S_n" as n grows. The preprint<br />
<br />
http://arxiv.org/abs/1204.4533<br />
<br />
shows how to interpret this kind of "representation stability" as a statement of finite generation in an appropriate category; we'll discuss this set-up and some applications to the topology of configuration spaces, the representation theory of the symmetric group, and diagonal coinvariant algebras. Finally, we'll discuss recent developments in the theory of FI-modules over general rings, which is joint work with (UW grad student) Rohit Nagpal.<br />
<br />
<br />
<!--<br />
===<span id="Diaconis"></span> '''Thu, Sept 20''': Persi Diaconis (Stanford) ===<br />
''Spatial mixing: problems and progress''<br />
<br />
One standard way of mixing (cards, dominos, Mahjong tiles) is to 'smoosh' them around on the table with two hands. I will introduce some models for this, present data (it's surprisingly effective) and some first theorems. The math involved is related to fluid flow and Baxendale-Harris random homeomorphisims.<br />
--><br />
<br />
===<span id="McLaughlin"></span>Sept 21: Joyce R. McLaughlin (Rensselaer Polytechnic Institute) ===<br />
''Mathematics for Imaging Biomechanical Parameters in Dynamic Elastography''<br />
<br />
Elastography, the imaging of biomechanical parameters in<br />
tissue, is motivated by the doctor’s palpation exam where the doctor<br />
presses against the skin to detect stiff and abnormal tissue changes. In<br />
dynamic elastography experiments, the tissue is in motion with<br />
displacement amplitudes on the order of tens of microns. The<br />
displacement(s) are determined with sequences of MR data sets or<br />
sequences of ultrasound RF/IQ data sets within the tissue; and the data<br />
shows a dispersive effect indicating that tissue is viscoelastic. A<br />
choice of viscoelastic model must be made. For each model the<br />
biomechanical parameters satisfy a first order, linear or nonlinear,<br />
partial differential equation (system) with real or complex coefficients.<br />
We discuss the mathematical properties of these equations and how those<br />
properties lead to successful interpretation of the data, and to<br />
successful algorithms and images. We show biomechanical images of breast<br />
cancer and prostate cancer and compare those images to ultrasound images<br />
and histology slides with marked cancerous inclusions.<br />
<br />
<br />
===<span id="Marberg"></span>Sept 28: Eric Marberg (MIT) ===<br />
''Supercharacters for algebra groups: applications and extensions''<br />
<br />
The group U_n(F_q) of unipotent upper triangular matrices over a<br />
finite field belongs to the same list of fundamental examples as the<br />
symmetric or general linear groups. It comes as some surprise, therefore,<br />
that the group's irreducible characters are unknown, and considered in some<br />
sense unknowable. In order to tackle problems normally requiring knowledge<br />
of a group's irreducible characters, Diaconis and Isaacs developed the<br />
notion of the supercharacters of an algebra group, generalizing work of<br />
Andre and Yan. Algebra groups form a well-behaved class of p-groups<br />
including U_n(F_q) as a prototypical example, and supercharacters are<br />
certain reducible characters which form a useful approximation to the set<br />
of irreducible characters. In this talk I will survey several equivalent<br />
definitions of the supercharacters of an algebra group, and discuss some<br />
applications and extensions of these approaches. On one end of things, I<br />
intend briefly to introduce the recent discovery of how certain<br />
representation theoretic operations on the supercharacters of U_n(F_q)<br />
naturally define a Hopf algebra structure, which has been studied under a<br />
different name by combinatorialists. In another direction, I will explain<br />
how one can view the supercharacters of an algebra group as the first step<br />
in a more general reduction process, which can be used to shed light on<br />
some mysterious properties of U_n(F_q).<br />
<br />
===<span id="Masur"></span>Oct 04 Howard Masur (Chicago) ===<br />
''Winning games for badly approximable real numbers and billiards in polygons''<br />
<br />
Wolfgang Schmidt invented the notion of a winning subset of Euclidean space in a game between two players. Winning sets have nice<br />
properties such as full Hausdorff dimension. The basic example of a winning set considered by Schmidt are those reals badly<br />
approximated by rationals. An equivalent formulation by Artin is that badly approximable reals correspond to geodesics that stay in a bounded set in the modular curve. There is also an equivalent formulation in terms of sets of directions for the linear flow on a square torus or equivalently, billiard trajectories in a square. In joint work with Yitwah Cheung and Jon Chaika we extend this notion of winning to flows on flat surfaces of higher genus with applications to billiards in rational angled polygons. My intention in this talk is to give the background on the Schmidt game, describe the classical results before introducing the more recent work.<br />
<br />
<br />
===<span id="Lemmens"></span>'''Wed, Oct 10''': Bas Lemmens (University of Kent) ===<br />
''From hyperbolic geometry to nonlinear Perron-Frobenius theory''<br />
<br />
In a letter to Klein Hilbert remarked that the logarithm of the cross-ratio is a metric on <br />
any open, bounded, convex set in Euclidean space. These metric spaces are nowadays <br />
called Hilbert geometries. They are a natural non-Riemannian generalization of Klein's <br />
model of the hyperbolic plane, and play a role in the solution of Hilbert's fourth problem.<br />
<br />
In the nineteen fifties Garrett Birkhoff and Hans Samelson independently discovered that <br />
one can use Hilbert's metric and the contraction mapping principle to prove the existence <br />
and uniqueness of a positive eigenvector for a variety of linear operators that leave a closed <br />
cone in a Banach space invariant. Their results are a direct extension of the classical <br />
Perron-Frobenius theorem concerning the eigenvectors and eigenvalues of nonnegative <br />
matrices. In the past decades this idea has been further developed and resulted in strikingly detailed nonlinear extensions of the Perron-Frobenius theorem. In this talk I will discuss <br />
the synergy between metric geometry and (nonlinear) operator theory and some of the <br />
recent results and open problems in this area.<br />
<br />
<br />
===<span id="Gamba"></span>'''Thur, Oct 11''': Irene Gamba (University of Texas-Austin) ===<br />
''Analytical and numerical issues associated with the dynamics of the non-linear Boltzmann equation''<br />
<br />
The non-linear Boltzmann equation models the evolution of a statistical flow associated with particle systems in a rarefied or mesoscopic regimes. Its analytical local as well as long time behavior depends strongly on the growth conditions of the collisional kernels, as functions of the intermolecular potentials and scattering mechanisms. We will present recent analytical results, such as classical convolutional inequalities and sharp moments estimates, which imply propagation of $W^{k,p}$ norms and exponential decay of high energy tails, and their consequences on the existence, regularity, and stability of solutions for initial value problems as well as control of decay rates to equilibrium. In particular we present a numerical approximation to the non-linear Boltzmann problem by a conservative spectral scheme, and show spectral accuracy as well as error estimates.<br />
<br />
===<span id="Rosenthal"></span>Oct 12: Joachim Rosenthal (Univ of Zurich) ===<br />
''Linear Random Network Codes, a Grassmannian Approach''<br />
<br />
Elastography, the imaging of biomechanical parameters in<br />
A novel framework for random network coding has been introduced by<br />
Koetter and Kschischang. In this framework information is encoded in<br />
subspaces of a given ambient space over a finite field. A natural<br />
metric is introduced where two subspaces are `close to each other' as<br />
soon as their dimension of intersection is large. This framework poses<br />
the challenge to come up with new codes with optimal or near optimal<br />
distance and to develop efficient decoding algorithms.<br />
<br />
In a first part of the talk we will provide a survey. In a second part<br />
of the talk we report on progress constructing spread codes<br />
and orbit codes. The decoding problem of orbit codes can be<br />
interpreted as a problem in Schubert calculus over a finite field.<br />
<br />
<br />
===<span id="Spagnolie"></span>'''Fri, Oct 19''': Saverio E. Spagnolie (Madison) ===<br />
''Elastic slender bodies in fluids and slender bodies in elastic fluids''<br />
<br />
Abstract:<br />
<br />
The scientific study of elastic materials dates back to Galileo, and fluid mechanics to Archimedes, but the interaction of elastic bodies and viscous fluids remains a topic at the frontier of modern research. We will discuss two problems on this topic of recent interest. First, when a flexible filament is confined to a fluid interface, the balance between capillary attraction, bending resistance, and tension from an external source can lead to a self-buckling instability. We will walk through an analysis of this elastocapillary instability, and analytical formulae will be shown that compare favorably with the results of detailed numerical computations. Second, we will discuss the motility of a swimming helical body in a viscoelastic fluid, wherein the fluid itself exhibits an elastic response to deformation. The helical geometry is exploited to generate a highly accurate numerical method, and we will show that the introduction of viscoelasticity can either enhance or retard the swimming speed depending on the body geometry and the properties of the fluid (through a dimensionless Deborah number). Our findings bridge the gap between studies showing situationally dependent enhancement or retardation of swimming speed, and may help to clarify phenomena observed in systems from spermatozoan swimming to mechanical drilling.<br />
<br />
===<span id="Oeding"></span>'''Fri, Oct 26''': Luke Oeding (UC Berkeley) ===<br />
''The Trifocal Variety''<br />
<br />
Abstract:<br />
In Computer Vision one considers many cameras looking at the same scene. From this setup many interesting geometric and algebraic questions arise. In this talk we will focus on the case of 3 cameras and study the so called trifocal tensors. Trifocal tensors are constructed from a bilinear map defined using the trifocal setup. A natural question is, given a particular tensor, how can one determine if it is a trifocal tensor? This question can be answered by finding implicit defining equations for the trifocal variety. From an algebraic standpoint, it is also interesting to know the minimal generators of the defining ideal of the trifocal variety.<br />
<br />
In this talk I will explain our use of symbolic and numerical computations aided by Representation Theory and Numerical Algebraic Geometry to find the minimal generators of the ideal of the trifocal variety. This is joint work with Chris Aholt (Washington). Our work builds on the work of others (such as Hartley-Zisserman, Alzati-Tortora and Papadopoulo-Faugeras) who have already considered this problem set-theoretically. <br />
<br />
My goal is to make most of the talk accessible to anyone with a modest background in Linear Algebra.<br />
<br />
<br />
===<span id="Majda"></span>'''Tues, Oct 30''': Andrew Majda (Courant) ===<br />
''Data Driven Methods for Complex Turbulent Systems''<br />
<br />
An important contemporary research topic is the development of physics<br />
constrained data driven methods for complex, large-dimensional turbulent<br />
systems such as the equations for climate change science. Three new<br />
approaches to various aspects of this topic are emphasized here. 1) The<br />
systematic development of physics constrained quadratic regression models<br />
with memory for low-frequency components of complex systems; 2) Novel<br />
dynamic stochastic superresolution algorithms for real time filtering of<br />
turbulent systems; 3) New nonlinear Laplacian spectral analysis (NLSA) for<br />
large-dimensional time series which capture both intermittency and<br />
low-frequency variability unlike conventional EOF or principal component<br />
analysis. This is joint work with John Harlim (1,2), Michal Branicki (2),<br />
and Dimitri Giannakis (3).<br />
<br />
=== <span id="Ryzhik"></span>'''Thurs, Nov 1''': Lenya Ryzhik (Chicago) ===<br />
''The role of a drift in elliptic and parabolic equations''<br />
<br />
The first order partial differential equations are closely connected to the underlying characteristic ODEs. The second order elliptic and parabolic equations are as closely connected to the Brownian motion and more general diffusions with a drift. From a variety of points of view, the drift does not really matter - all diffusions look more or less similar. As a caveat to this reasonable line of thought, I will describe a menagerie of problems: linear and nonlinear, steady and time-dependent, compressible and incompressible, where the drift and diffusion confirm the Mayakovsky thesis "Woe to one alone!" Together, they lead to enhanced mixing and improved regularity that are impossible<br />
for each one of them to attain.<br />
<br />
===<span id="Sverak"></span>Nov 2: Vladimir Sverak (Minnesota) ===<br />
''On scale-invariant solutions of the Navier-Stokes equations''<br />
<br />
The solutions of the Navier-Stokes equations which are invariant under the scaling symmetry of the equations provide an interesting window into non-linear regimes which are not accessible by perturbation theory. They appear to give valuable hints concerning the old question about the uniqueness of weak solutions. In the lecture we outline a recent proof of the result that for every scale-invariant initial data there is a global scale-invariant solution (smooth for positive times), and we explain connections to the uniqueness problem. This is joint work with Hao Jia.<br />
<br />
===<span id="Andrews"></span>Nov 9: Uri Andrews (Madison) ===<br />
''Computable Stability Theory''<br />
<br />
Stability theory attempts to classify the underlying structure of<br />
mathematical objects. The goal of computable mathematics is to understand<br />
when mathematical objects or constructions can be demonstrated computably.<br />
I'll talk about the relationship between underlying structure and<br />
computation of mathematical objects.<br />
<br />
===<span id="Smart"></span>Monday, Nov 12: Charles Smart (MIT) ===<br />
''Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity''<br />
<br />
I will discuss regularity of fully nonlinear elliptic<br />
equations when the usual uniform upper bound on the ellipticity is<br />
replaced by bound on its $L^d$ norm, where $d$ is the dimension of the<br />
ambient space. Our<br />
estimates refine the classical theory and require several new ideas<br />
that we believe are of independent interest. As an application, we<br />
prove homogenization for a class of stationary ergodic strictly<br />
elliptic equations.<br />
<br />
<br />
===<span id="Hill"></span>Wednesday, Nov 28: Cameron Hill (Notre Dame) ===<br />
''Genericity in Discrete Mathematics''<br />
<br />
I will discuss the intriguing role that ``generic'' objects can play in finitary discrete mathematics. Using the framework of model theory, we will see that there are at least two reasonable but very different notions of genericity relative to a class of finite structures (like a class of finite graphs or a class of finite groups). Through discussions of zero-one laws and structural Ramsey theory, I will try to illustrate the importance of generically-categorical classes -- those for which the various notions of genericity coincide. To finish, I will state some results that follow from the assumption of generic-categoricity.<br />
<br />
===<span id="Le"></span>Nov 30: Nam Le (Columbia) ===<br />
''Boundary regularity for solutions to the linearized Monge-Ampere equations and applications''<br />
<br />
In this talk, I will discuss boundary regularity of solutions to the linearized Monge-Ampere equations, and their applications to nonlinear, fourth order, geometric Partial Differential Equations (PDE). <br />
First, I will present my regularity results in joint work with O. Savin and T. Nguyen including:<br />
boundary Holder gradient estimates and global $C^{1,\alpha}$ estimates, global Holder estimates and global $W^{2,p}$ estimates.<br />
Then, I will describe applications of the above regularity results to several nonlinear, fourth order, geometric PDE such as: global second derivative estimates for the second <br />
boundary value problem of the prescribed affine mean curvature and Abreu's equations; and global regularity for minimizers having prescribed determinant of certain convex functionals motivated by <br />
the Mabuchi functional in complex geometry.<br />
<br />
===<span id="Folsom"></span>Dec 14: Amanda Folsom (Yale) ===<br />
''q-series and quantum modular forms''<br />
<br />
While the theory of mock modular forms has seen great advances in the last decade, questions remain. We revisit Ramanujan's last letter to Hardy, and prove one of his remaining conjectures as a special case of a more general result. Surprisingly, Dyson's combinatorial rank function, the Andrews-Garvan crank functions, mock theta functions, and quantum modular forms, all play key roles. Along these lines, we also show that the Rogers-Fine false theta functions, functions that have not been well understood within the theory of modular forms, specialize to quantum modular forms. This is joint work with K. Ono (Emory U.) and R.C. Rhoades (Stanford U.).<br />
<br />
===<span id="Pierce"></span>Tues, Jan 15, B139: Lillian Pierce (Oxford) ===<br />
''A new twist on the Carleson operator''<br />
<br />
Must the Fourier series of an L^2 function converge pointwise almost everywhere? In the 1960's, Carleson answered this question in the affirmative, by studying a particular type of maximal singular integral operator, which has since become known as a Carleson operator. In the past 40 years, a number of important results have been proved for generalizations of the original Carleson operator. In this talk we will introduce the Carleson operator and survey several of its generalizations, and then describe new joint work with Po Lam Yung that introduces curved structure to the setting of Carleson operators.<br />
<br />
===<span id="Blasiak"></span>Thurs, Jan 17, 2pm, 901VV: Jonah Blasiak (Michigan) ===<br />
''Positivity, complexity, and the Kronecker problem''<br />
<br />
Positivity problems in algebraic combinatorics ask to find positive combinatorial formulae <br />
for nonnegative quantities arising in geometry and representation theory like cohomological dimensions and dimensions of algebras and their irreducible representations.<br />
A famous open positivity problem in representation theory is the Kronecker problem, which asks for a positive combinatorial formula for decomposing tensor products of irreducible representations of the symmetric group.<br />
We will begin with a general discussion of positivity problems and an intriguing new motivation for these problems from complexity theory.<br />
We will then present our solution to a special case of the Kronecker problem that substantially improves on previous results.<br />
<br />
===<span id="Fish"></span>Fri, Jan 25: Alexander Fish (Sydney) ===<br />
''Product sets in amenable groups through a dynamical approach''<br />
<br />
We will describe a new correspondence between product sets in a countable amenable group and product sets in compact groups. This approach enables us to obtain quantitative results concerning product sets in amenable groups. The talk is for general mathematical audience. <br />
(based on a joint work with M. Bjorklund)<br />
<br />
===<span id="Dymarz"></span>Fri, Feb 1: Tullia Dymarz (Madison) ===<br />
''Quasisymmetric vs Bi-Lipschitz maps''<br />
<br />
On a metric space, there are various classes of functions which respect aspects of the metric space structure. One of the most basic classes is the bi-Lipschitz maps (Lipschitz maps whose inverses are also Lipschitz). Another possibly much larger class consists of the so-called quasisymmetric maps (these are closely related quasiconformal maps). On both Euclidean space and the p-adics, there are many quasisymmetric maps which are not bi-Lipschitz. However, on the product of Euclidean space with the p-adics, we show that all quasisymmetric maps are bi-Lipschitz. Furthermore, our proof does not use any direct analysis<br />
but instead uses coarse topology and results from negative curvature.<br />
<br />
===<span id="Thiffeault"></span>Feb 8: Jean-Luc Thiffeault (Madison) ===<br />
''pseudo-Anosovs with small or large dilatation''<br />
<br />
Homeomorphisms of a surface to itself can be classified using the<br />
well-known Thurston-Nielsen theorem. The most interesting topological<br />
class contains pseudo-Anosov mappings: they stabilize a pair of<br />
transverse singular foliations with a finite number of singularities.<br />
These foliations are called unstable and stable, and are respectively<br />
expanded and compressed by an algebraic constant called the<br />
dilatation. Characterizing the possible values of these dilatations<br />
for a given suface is an open problem. Here I discuss a method to<br />
find the minimum value of the dilatation on closed surfaces of a given<br />
genus, for the special case where the foliations are orientable. I<br />
will then address the opposite problem: how to find pseudo-Anosovs<br />
with large dilatations. Unlike the minimizer problem, this is not<br />
well-defined -- the answer is infinity -- unless we add a constraint.<br />
Constraints can arise from practical optimization problems in<br />
engineering, and I will show some optimal solutions that can be<br />
incorporated in devices called taffy pullers. (This is joint work with<br />
Erwan Lanneau and Matt Finn.)<br />
<br />
===<span id="Lauga"></span>Feb 15: Eric Lauga (UCSD) ===<br />
''Optimization in fluid-based locomotion''<br />
<br />
The world of self-propelled low-Reynolds number swimmers is inhabited by a myriad of microorganisms such as bacteria, spermatozoa, ciliates, and plankton. In this talk, we focus on the locomotion of ciliated cells. Cilia are short slender whiplike appendages (a few microns long, one tenth of a micron wide) internally actuated by molecular motors (dyneins) which generate a distribution of bending moments along the cilium length and produce time-varying shape deformations. In most cases cilia are not found individually but instead in densely packed arrays on surfaces. In this work we will ask the question: can the individual and collective dynamics of cilia on the surface of an individual microorganism be rationalized as the solution to an optimization problem? We first address the deformation of individual cilia anchored on surfaces before characterizing the locomotion and feeding by surface distortions of swimmers covered by cilia array. We demonstrate, as solution to the optimization procedure, the appearance of the well-known two-stroke kinematics of an individual cilium, as well as waves in cilia array reminiscent of experimentally-observed metachronal waves.<br />
<br />
===<span id="Mayboroda"></span>Feb 22: Svitlana Mayboroda (University of Minnesota) ===<br />
''Elliptic PDEs, analysis, and potential theory in irregular media''<br />
<br />
Elliptic boundary value problems are well-understood in the<br />
case when the boundary, the data, and the coefficients exhibit<br />
smoothness. However, perfectly uniform smooth systems do not exist in<br />
nature, and every real object inadvertently possesses irregularities<br />
(a sharp edge of the boundary, an abrupt change of the medium, a<br />
defect of the construction).<br />
<br />
The analysis of general non-smooth elliptic PDEs gives rise to<br />
decisively new challenges: possible failure of maximal principle and<br />
positivity,<br />
breakdown of boundary regularity, lack of the classical L^2 estimates,<br />
to mention just a few. Further progress builds on an involved blend of<br />
harmonic analysis, potential theory and geometric measure theory<br />
techniques. In this talk we are going to discuss some highlights of<br />
the history, conjectures, paradoxes, and recent discoveries such as<br />
the higher-order Wiener criterion and maximum principle for higher<br />
order PDEs, solvability of rough elliptic boundary problems, as well<br />
as an intriguing phenomenon of localization of eigenfunctions --<br />
within and beyond the limits of the famous Anderson localization.<br />
<br />
Parts of the talk are based on joint work with S. Hofmann, M. Filoche,<br />
C. Kenig, V. Maz'ya, and J. Pipher.<br />
<br />
===<span id="Wickelgren"></span>March 1: Kirsten Wickelgren (Harvard) ===<br />
''Grothendieck's anabelian conjectures''<br />
<br />
Grothendieck's anabelian conjectures predict that the solutions to certain polynomial equations over Q are determined by the loops on the corresponding space of all solutions, or more precisely that the etale fundamental group is a fully faithful functor from certain anabelian schemes to profinite groups with Galois action. This is analogous to an equivalence between fixed points and homotopy fixed points for Galois actions. We will introduce the anabelian conjectures and their topological analogues, and relate certain nilpotent obstructions to the existence of rational points introduced by Jordan Ellenberg to higher cohomology operations. These cohomology operations encode when the existence of particular Galois extensions implies the existence of others, and are connected with the formality of the etale cochains. As a corollary one has that the order n Massey product <x,x,..x,1-x,x,...x> vanishes, where x denotes the image of x in k* under the Kummer map k* -> H^1(Gal(kbar/k), Z_l(1)). <br />
<br />
===<span id="Negrut"></span>March 8: Dan Negrut (UW-Mechanical Engineering)===<br />
''Using Advanced Computing in Applied Dynamics: From the Dynamics of Granular Material to the Motion of the Mars Rover''<br />
<br />
This talk outlines numerical solution methods and their implementation in a high performance computing-enabled software infrastructure aimed at supporting physics-based simulation for virtual design in Engineering. The applications of interest include granular dynamics, rigid/flexible many-body dynamics, and fluid-solid interaction problems. CHRONO, the software infrastructure developed as part of this ongoing effort, partitions the problem of interest into a number of sub-problems that are solved in parallel using Graphics Processing Unit (GPU) cards, or multi-core CPUs. The five components at the cornerstone of the vision that eventually led to CHRONO are: (a) modeling support for multi-physics phenomena; (b) scalable numerical methods for multi-GPU and multi-core hardware architectures; (c) methods for proximity computation and collision detection; (d) support for domain decomposition and load balance; and (e) tools for carrying out visualization and post-processing in a distributed manner. Several engineering applications will be used to demonstrate how these five components are implemented to leverage a heterogeneous CPU/GPU supercomputer available at the Wisconsin Applied Computing Center. The talk will conclude with a brief discussion of current trends in high performance computing and how they are poised to change the field of Computational Science in the near future.<br />
<br />
===<span id="Fard"></span>March 15: Kurusch Ebrahimi Fard (Madrid) ===<br />
''Spitzer-type identities in non-commutative Rota-Baxter algebras''<br />
<br />
Gian-Carlo Rota suggested in one of his last articles the problem of developing the notion of integration algebra, complementary to the already existing theory of differential algebras. This idea was mainly motivated by Rota's deep appreciation for Chen's fundamental work on iterated integrals. As a starting point for such a theory Rota proposed to consider a particular operator identity first introduced in 1960 by the mathematician Glen Baxter. It was later coined Rota-Baxter identity. Examples range from algebras with a direct decomposition into subalgebras to algebras of functions equipped with the ordinary Riemann integral or its discrete analogs. <br />
Rota-Baxter algebras feature a genuine factorization property. It is intimately related to linear fixpoint equations, such as those, for instance, appearing in the renormalization problem in perturbative quantum field theory. For arbitrary commutative Rota-Baxter algebras, proper exponential solutions of such fixpoint equations are described by what is known as the classical Spitzer identity. The similar classical Bohnenblust-Spitzer identity involves the symmetric group, and generalizes the simple observation that the n-fold iterated integral of a function is proportional to the n-fold product of the primitive of this function. Recently, the seminal Cartier-Rota theory of classical Spitzer-type identities has been generalized to noncommutative Rota-Baxter algebras. Pre-Lie algebras (also known as Vinberg or Gerstenhaber algebras) play a crucial role in this approach. <br />
In this talk we will provide a short introduction to Rota-Baxter algebras, and review recent work on Spitzer-type identities.<br />
This talk is based on joint work with Frederic Patras (CNRS, Nice, France) and Dominique Manchon (CNRS, Clermont-Ferrand, France).<br />
<br />
===<span id="Jones"></span>April 5: John Jones (ASU) ===<br />
''Number fields with prescribed ramification''<br />
<br />
Finite extensions of the rational numbers are basic objects of algebra and<br />
number theory. We discuss the interaction of two basic invariants<br />
associated to such a field, its set of ramified primes and its Galois<br />
group. After describing the basic problem, we present computational and<br />
theoretical results.<br />
<br />
===<span id="Snowden"></span>April 12: Andrew Snowden (MIT) ===<br />
<br />
In recent years, it has been realized that various large algebraic<br />
structures admitting large amounts of symmetry behave as if they were<br />
small. For example, when symmetries are taken into account, polynomial<br />
rings in infinitely many variables retain some of the favorable<br />
properties of polynomial rings in finitely many variables. This<br />
observation has been applied to obtain uniformity results in diverse<br />
fields. I will describe some of the recent work in this area.<br />
<br />
===<span id="Hirsch"></span>April 19: Moe Hirsch (Honorary Fellow -- UW Madison) ===<br />
<br />
I will discuss various ideas about mathematics which many of its<br />
practitioners seem to believe, including the Myth of Truth, the Myth of<br />
Proof, the Myth of Certainty, and so forth.<br />
<br />
This talk is available as a pdf file:<br />
<br />
<http://sprott.physics.wisc.edu/chaos-complexity/hirsch12.pdf>.<br />
<br />
===<span id="Maulik"></span>May 3: Davesh Maulik (Columbia) ===<br />
'''Plane curve singularities and knot invariants'''<br />
<br />
Given a polynomial function $f(x,y)$ in two complex variables, with a critical point at the origin, by studying the nearby points, one can associate a knot (or link) inside $\mathbb{R}^3$. In nice situations, we can try to understand analytic properties of the singularity in terms of topological properties of this knot. For example, Milnor showed that the codimension of the ideal generated by the partial derivatives is related to the degree of the Alexander polynomial of the link. I will explain a broad generalization of this example, first conjectured by Oblomkov and Shende, which relates the geometry of the Hilbert scheme of the singularity to the HOMFLY polynomial of the link. As time permits, I will discuss further extensions (some known, some conjectural).<br />
<br />
===<span id="Gelbart"></span>May 10: Steve Gelbart (Weizmann Institute, Israel) ===<br />
''"Zeta"''<br />
<br />
This will be an introductory (and incomplete) lecture on the story of “zeta”. Starting with<br />
the fundamental work of Euler, Kummer and Riemann, and the telling work of Artin, Hecke and Hasse-Weil, we end up with the ever growing mysteries of Iwasawa, Langlands, and beyond.</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=4103Applied/ACMS2012-08-22T20:44:36Z<p>Mitchell: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~spagnolie Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
<br />
<br><br />
<br />
== Fall 2012 Semester ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|'''Sept 20, 4pm, B239'''<br />
|[http://www-stat.stanford.edu/~cgates/PERSI/ Persi Diaconis] (Stanford)<br />
|''[[Applied/ACMS/absF12#Persi_Diaconis_(Stanford)|Spatial mixing: problems and progress]]''<br />
|Jean-Luc<br />
|-<br />
|Sept 28<br />
|[http://caos.cims.nyu.edu/object/skeating Shane Keating] (NYU)<br />
|''[[Applied/ACMS/absF12#Shane_Keating_(NYU)|Models and measures of turbulent mixing in the ocean]]''<br />
|Jean-Luc<br />
|-<br />
|Oct 5?<br />
|[http://www.astro.wisc.edu/~zweibel Ellen Zweibel] (UW)<br />
|''[[Applied/ACMS/absF12#Ellen_Zweibel_(UW)|TBA]]''<br />
|Jean-Luc<br />
|-<br />
|Nov 16<br />
|[http://www.math.colostate.edu/~yzhou Yongcheng Zhou] (Colorado State)<br />
|''[[Applied/ACMS/absF12#xxxx|Multiscale modeling and numerics for surface electrodiffusion]]''<br />
|Julie<br />
|<br />
|}<br />
<br />
<br />
<br><br />
<br />
== How to join the ACMS mailing list ==<br />
See [https://mailhost.math.wisc.edu/mailman/listinfo/acms mailing list] website<br />
<br />
<br><br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=3949Applied2012-06-11T14:49:35Z<p>Mitchell: /* Tenured and tenure-track faculty */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* Funding opportunity for a '''graduate student''' to study dynamics of large-scale molecular systems, such as cell membranes (contact [http://www.math.wisc.edu/~mitchell Julie Mitchell], supported by [http://nsf.gov NSF]). <!-- Added by mitchell 2012-06-11 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study mathematics of fluids - regularity and mixing, more for information check http://www.math.wisc.edu/~kiselev/graduate.html (contact [http://www.math.wisc.edu/~kiselev Sasha Kiselev], supported by [http://nsf.gov NSF]). <!-- Added by kiselev 2012-04-19 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study chemotaxis and applications in mathematical biology, more for information check http://www.math.wisc.edu/~kiselev/graduate.html (contact [http://www.math.wisc.edu/~kiselev Sasha Kiselev], supported by [http://nsf.gov NSF]). <!-- Added by kiselev 2012-04-19 --><br />
<br />
* '''[http://maeresearch.ucsd.edu/spagnolie/ Saverio Spagnolie]''' has accepted a position as a tenure-track assistant professor in our department. Saverio will join us this Fall. Welcome to the group, Saverio! <!-- Added by jeanluc 2012-03-15 --><br />
<br />
* '''Bokai Yan''' (PhD student with Shi Jin) graduated in Fall 2011 and is now a postdoc at UCLA. <!-- Added by jeanluc 2012-02-05 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''persistence and multistability in biological networks''' (contact [http://www.math.wisc.edu/~craciun Gheorghe Craciun], supported by [http://nih.gov NIH]). <!-- Added by craciun 2011-09-01 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''mathematical analysis of mass spectrometry data and proteomics''' (contact [http://www.math.wisc.edu/~craciun Gheorghe Craciun], supported by [http://nsf.gov NSF]). <!-- Added by craciun 2011-09-01 --><br />
<br />
* '''Li Wang''' (PhD student with Leslie Smith) graduated and has a job at [http://www.epic.com/ Epic]. <!-- Added by jeanluc 2011-09-01 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''waves in geophysical flows and tropical cyclogenesis''' (contact [http://www.math.wisc.edu/~lsmith Leslie Smith], supported by [http://nsf.gov NSF]). <!-- Added by jeanluc 2011-09-01 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''nonlinear critical layers and exact coherent states in turbulent shear flows''' (contact [http://www.math.wisc.edu/~waleffe Fabian Waleffe], supported by [http://nsf.gov NSF]). <!-- Added by Wally 2011-09-02 --><br />
<br />
<br><br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS GPS Applied Math Seminar] (Mondays at 2:25pm, B211 VV)<br />
* Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811)<br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.engr.wisc.edu/news/events/index.phtml?start=2011-09-02&range=3650&search=Rheology RRC Lecture] (Fridays at 12:05pm, 1800 Engineering Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis<br />
and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://maeresearch.ucsd.edu/spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials<br />
<br />
<br><br />
<br />
== Postdoctoral fellows ==<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011)<br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
Adel Ardalan: Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~blackman/ Claire Blackman:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~boonkasa/ Anekewit (Tete) Boonkasame:] Student of Paul Milewski.<br />
<br />
Yongtao Cheng: Student of James Rossmanith.<br />
<br />
[http://vv811a.math.wisc.edu/index.html/index.php/component/content/article/40 Hesam Dashti:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~qdeng/ Qiang Deng:] Student of Leslie Smith.<br />
<br />
[http://vv811a.math.wisc.edu/index.html/index.php/component/content/article/33 Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin.<br />
<br />
[http://www.math.wisc.edu/~ejohnson/ E. Alec Johnson:] Student of James Rossmanith.<br />
<br />
[http://vv811a.math.wisc.edu/index.html/index.php/component/content/article/15 Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~leili/ Lei Li:] Student of Shi Jin.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.<br />
<br />
Peter Mueller: Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~pqi/ Peng Qi:] Student of Shi Jin.<br />
<br />
[http://vv811a.math.wisc.edu/index.html/index.php/component/content/article/16 Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~seal/ David Seal:] Student of James Rossmanith.<br />
<br />
Ebru Selin Selen: Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.<br />
<br />
Li Wang: Student of Leslie Smith.<br />
<br />
[http://www.math.wisc.edu/~wangli/ Li (Aug) Wang:] Student of Shi Jin.<br />
<br />
Zhan Wang: Student of Paul Milewski.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
[http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.<br />
<br />
<!-- Past students: --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Leslie Smith)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean Luc Thiffeault)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
<!--<br />
=== Fall 2011 ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=3948Applied2012-06-11T14:48:20Z<p>Mitchell: /* News and opportunities */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* Funding opportunity for a '''graduate student''' to study dynamics of large-scale molecular systems, such as cell membranes (contact [http://www.math.wisc.edu/~mitchell Julie Mitchell], supported by [http://nsf.gov NSF]). <!-- Added by mitchell 2012-06-11 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study mathematics of fluids - regularity and mixing, more for information check http://www.math.wisc.edu/~kiselev/graduate.html (contact [http://www.math.wisc.edu/~kiselev Sasha Kiselev], supported by [http://nsf.gov NSF]). <!-- Added by kiselev 2012-04-19 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study chemotaxis and applications in mathematical biology, more for information check http://www.math.wisc.edu/~kiselev/graduate.html (contact [http://www.math.wisc.edu/~kiselev Sasha Kiselev], supported by [http://nsf.gov NSF]). <!-- Added by kiselev 2012-04-19 --><br />
<br />
* '''[http://maeresearch.ucsd.edu/spagnolie/ Saverio Spagnolie]''' has accepted a position as a tenure-track assistant professor in our department. Saverio will join us this Fall. Welcome to the group, Saverio! <!-- Added by jeanluc 2012-03-15 --><br />
<br />
* '''Bokai Yan''' (PhD student with Shi Jin) graduated in Fall 2011 and is now a postdoc at UCLA. <!-- Added by jeanluc 2012-02-05 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''persistence and multistability in biological networks''' (contact [http://www.math.wisc.edu/~craciun Gheorghe Craciun], supported by [http://nih.gov NIH]). <!-- Added by craciun 2011-09-01 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''mathematical analysis of mass spectrometry data and proteomics''' (contact [http://www.math.wisc.edu/~craciun Gheorghe Craciun], supported by [http://nsf.gov NSF]). <!-- Added by craciun 2011-09-01 --><br />
<br />
* '''Li Wang''' (PhD student with Leslie Smith) graduated and has a job at [http://www.epic.com/ Epic]. <!-- Added by jeanluc 2011-09-01 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''waves in geophysical flows and tropical cyclogenesis''' (contact [http://www.math.wisc.edu/~lsmith Leslie Smith], supported by [http://nsf.gov NSF]). <!-- Added by jeanluc 2011-09-01 --><br />
<br />
* Funding opportunity for a '''graduate student''' to study '''nonlinear critical layers and exact coherent states in turbulent shear flows''' (contact [http://www.math.wisc.edu/~waleffe Fabian Waleffe], supported by [http://nsf.gov NSF]). <!-- Added by Wally 2011-09-02 --><br />
<br />
<br><br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS GPS Applied Math Seminar] (Mondays at 2:25pm, B211 VV)<br />
* Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811)<br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.engr.wisc.edu/news/events/index.phtml?start=2011-09-02&range=3650&search=Rheology RRC Lecture] (Fridays at 12:05pm, 1800 Engineering Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis<br />
and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~milewski/ Paul Milewski:] (MIT, 1993) applied mathematics, fluid dynamics.<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~rossmani/ James Rossmanith:] (Washington, 2002) computational mathematics, hyperbolic conservation laws, plasma physics.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://maeresearch.ucsd.edu/spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials<br />
<br />
<br><br />
<br />
== Postdoctoral fellows ==<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011)<br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
Adel Ardalan: Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~blackman/ Claire Blackman:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~boonkasa/ Anekewit (Tete) Boonkasame:] Student of Paul Milewski.<br />
<br />
Yongtao Cheng: Student of James Rossmanith.<br />
<br />
[http://vv811a.math.wisc.edu/index.html/index.php/component/content/article/40 Hesam Dashti:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~qdeng/ Qiang Deng:] Student of Leslie Smith.<br />
<br />
[http://vv811a.math.wisc.edu/index.html/index.php/component/content/article/33 Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin.<br />
<br />
[http://www.math.wisc.edu/~ejohnson/ E. Alec Johnson:] Student of James Rossmanith.<br />
<br />
[http://vv811a.math.wisc.edu/index.html/index.php/component/content/article/15 Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~leili/ Lei Li:] Student of Shi Jin.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.<br />
<br />
Peter Mueller: Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~pqi/ Peng Qi:] Student of Shi Jin.<br />
<br />
[http://vv811a.math.wisc.edu/index.html/index.php/component/content/article/16 Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~seal/ David Seal:] Student of James Rossmanith.<br />
<br />
Ebru Selin Selen: Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.<br />
<br />
Li Wang: Student of Leslie Smith.<br />
<br />
[http://www.math.wisc.edu/~wangli/ Li (Aug) Wang:] Student of Shi Jin.<br />
<br />
Zhan Wang: Student of Paul Milewski.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
[http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.<br />
<br />
<!-- Past students: --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Leslie Smith)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean Luc Thiffeault)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
<!--<br />
=== Fall 2011 ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia_2012-2013&diff=2312Colloquia 2012-20132011-08-22T14:30:29Z<p>Mitchell: /* Fri, Oct 21: Bernd Sturmfels (Berkeley) */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
== Fall 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 9<br />
|[http://www.math.ethz.ch/~einsiedl Manfred Einsiedler] (ETH-Zurich)<br />
|''Periodic orbits on homogeneous spaces''<br />
|Fish<br />
|-<br />
|Sep 16<br />
|[http://www.unc.edu/~rimanyi/ Richard Rimanyi] (UNC-Chapel Hill)<br />
|''Global singularity theory''<br />
|Maxim<br />
|-<br />
|Sep 23<br />
|[http://www.math.wisc.edu/~andreic Andrei Caldararu] (UW-Madison)<br />
|''The Hodge theorem as a derived self-intersection''<br />
|(local)<br />
|-<br />
|Sep 30<br />
|-<br />
|Oct 7<br />
|[http://www.education.wisc.edu/ci/mathEd/?folder=people&pageName=ghousseini Hala Ghousseini] (University of Wisconsin-Madison)<br />
|''TBA''<br />
|Lempp<br />
|-<br />
|Oct 14<br />
|[http://www.math.sunysb.edu/~alexk/ Alex Kontorovich] (Yale)<br />
|''On Zaremba's Conjecture''<br />
|Shamgar<br />
|-<br />
|'''oct 19, Wed'''<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Convex Algebraic Geometry''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|'''oct 20, Thu'''<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Quartic Curves and Their Bitangents''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|oct 21<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Multiview Geometry''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|Oct 28<br />
|-<br />
|Nov 4<br />
|[http://www.math.lsa.umich.edu/people/facultyDetail.php?uniqname=sijue Sijue Wu] (U Michigan)<br />
|''TBA''<br />
|Qin Li<br />
|-<br />
|Nov 11<br />
|[http://cams.ehess.fr/document.php?id=891 Henri Berestycki] (EHESS and University of Chicago)<br />
|''TBA''<br />
|'''Wasow lecture'''<br />
|-<br />
|Nov 18<br />
|[http://pages.cs.wisc.edu/~brecht/ Benjamin Recht] (UW-Madison, CS Department)<br />
|''TBA''<br />
|Jordan<br />
|-<br />
|Dec 2<br />
|[http://ib.berkeley.edu/people/faculty/person_detail.php?person=61 Robert Dudley] (University of California, Berkeley)<br />
|''From Gliding Ants to Andean Hummingbirds: The Evolution of Animal Flight Performance''<br />
|Jean-Luc<br />
|-<br />
|dec 9<br />
|[http://www.math.harvard.edu/~xinwenz/ Xinwen Zhu] (Harvard University)<br />
|''TBA''<br />
|Tonghai<br />
|}<br />
<br />
== Spring 2012 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|'''Jan 26, Thu'''<br />
|[http://people.cs.uchicago.edu/~const Peter Constantin] (University of Chicago)<br />
|''TBA''<br />
|'''distinguished lecturer'''<br />
|-<br />
|Jan 27<br />
|[http://people.cs.uchicago.edu/~const Peter Constantin] (University of Chicago)<br />
|''TBA''<br />
|'''distinguished lecturer'''<br />
|-<br />
|Feb 24<br />
|[http://www.math.ubc.ca/~malabika/ Malabika Pramanik] (University of British Columbia)<br />
|''TBA''<br />
|Benguria<br />
|-<br />
|March 2<br />
|[http://www.comsec.uwaterloo.ca/~ggong/ Guang Gong] (University of Waterloo)<br />
|''TBA''<br />
|Shamgar<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Fri, Sept 9: Manfred Einsiedler (ETH-Zurich)===<br />
''Periodic orbits on homogeneous spaces''<br />
<br />
We call an orbit xH of a subgroup H<G on a quotient space Gamma \ G<br />
periodic if it has finite H-invariant volume. These orbits have<br />
intimate connections to a variety of number theoretic problems, e.g.<br />
both integer quadratic forms and number fields give rise periodic<br />
orbits and these periodic orbits then relate to local-global problems<br />
for the quadratic forms or to special values of L-functions. We will<br />
discuss whether a sequence of periodic orbits equidistribute in Gamma<br />
\ G assuming the orbits become more complicated (which can be measured<br />
by a discriminant). If H is a diagonal subgroup (also called torus or<br />
Cartan subgroup), this is not always the case but can be true with a<br />
bit more averaging. As a theorem of Mozes and Shah show the case where<br />
H is generated by unipotents is well understand and is closely related<br />
to the work of M. Ratner. We then ask about the rate of approximation,<br />
where the situation is much more complex. The talk is based on several<br />
papers which are joint work with E.Lindenstrauss, Ph. Michel, and A.<br />
Venkatesh resp. with G. Margulis and A. Venkatesh.<br />
<br />
<br />
===Fri, Sept 16: Richard Rimanyi (UNC)===<br />
''Global singularity theory''<br />
<br />
The topology of the spaces A and B may force every map from A to B to have certain singularities. For example, a map from the Klein bottle to 3-space must have double points. A map from the projective plane to the plane must have an odd number of cusp points. <br />
<br />
To a singularity one may associate a polynomial (its Thom polynomial) which measures how topology forces this particular singularity. In the lecture we will explore the theory of Thom polynomials and their applications in enumerative geometry. Along the way, we will meet a wide spectrum of mathematical concepts from geometric theorems of the ancient Greeks to the cohomology ring of moduli spaces.<br />
<br />
===Fri, Oct 14: Alex Kontorovich (Yale)===<br />
''On Zaremba's Conjecture''<br />
<br />
It is folklore that modular multiplication is "random". This concept is useful for many applications, such as generating pseudorandom sequences, or in quasi-Monte Carlo methods for multi-dimensional numerical integration. Zaremba's theorem quantifies the quality of this "randomness" in terms of certain Diophantine properties involving continued fractions. His 40-year old conjecture predicts the ubiquity of moduli for which this Diophantine property is uniform. It is connected to Markoff and Lagrange spectra, as well as to families of "low-lying" divergent geodesics on the modular surface. We prove that a density one set satisfies Zaremba's conjecture, using recent advances such as the circle method and estimates for bilinear forms in the Affine Sieve, as well as a "congruence" analog of the renewal method in the thermodynamical formalism. This is joint work with Jean Bourgain.<br />
<br />
===Wed, Oct 19: Bernd Sturmfels (Berkeley)===<br />
''Convex Algebraic Geometry''<br />
<br />
This lecture concerns convex bodies with an interesting algebraic structure.<br />
A primary focus lies on the geometry of semidefinite optimization. Starting<br />
with elementary questions about ellipses in the plane, we move on to discuss<br />
the geometry of spectrahedra, orbitopes, and convex hulls of real varieties.<br />
<br />
===Thu, Oct 20: Bernd Sturmfels (Berkeley)===<br />
''Quartic Curves and Their Bitangents''<br />
<br />
We present a computational study of plane curves of degree four, with<br />
primary focus on writing their defining polynomials as sums of squares<br />
and as symmetric determinants. Number theorists will enjoy the appearance<br />
of the Weyl group <math>E_7</math> as the Galois group of the 28 bitangents. Based<br />
on joint work with Daniel Plaumann and Cynthia Vinzant, this lecture<br />
spans a bridge from 19th century algebra to 21st century optimization.<br />
<br />
===Fri, Oct 21: Bernd Sturmfels (Berkeley)===<br />
''Multiview Geometry''<br />
<br />
The study of two-dimensional images of three-dimensional scenes is foundational<br />
for computer vision. We present work with Chris Aholt and Rekha Thomas on the<br />
polynomials characterizing images taken by <math>n</math> cameras. Our varieties are<br />
threefolds that vary in a family of dimension <math>11n-15</math> when the cameras are<br />
moving. We use toric geometry and Hilbert schemes to characterize<br />
degenerations of camera positions.</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia_2012-2013&diff=2311Colloquia 2012-20132011-08-22T14:29:47Z<p>Mitchell: /* Thu, Oct 20: Bernd Sturmfels (Berkeley) */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
== Fall 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 9<br />
|[http://www.math.ethz.ch/~einsiedl Manfred Einsiedler] (ETH-Zurich)<br />
|''Periodic orbits on homogeneous spaces''<br />
|Fish<br />
|-<br />
|Sep 16<br />
|[http://www.unc.edu/~rimanyi/ Richard Rimanyi] (UNC-Chapel Hill)<br />
|''Global singularity theory''<br />
|Maxim<br />
|-<br />
|Sep 23<br />
|[http://www.math.wisc.edu/~andreic Andrei Caldararu] (UW-Madison)<br />
|''The Hodge theorem as a derived self-intersection''<br />
|(local)<br />
|-<br />
|Sep 30<br />
|-<br />
|Oct 7<br />
|[http://www.education.wisc.edu/ci/mathEd/?folder=people&pageName=ghousseini Hala Ghousseini] (University of Wisconsin-Madison)<br />
|''TBA''<br />
|Lempp<br />
|-<br />
|Oct 14<br />
|[http://www.math.sunysb.edu/~alexk/ Alex Kontorovich] (Yale)<br />
|''On Zaremba's Conjecture''<br />
|Shamgar<br />
|-<br />
|'''oct 19, Wed'''<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Convex Algebraic Geometry''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|'''oct 20, Thu'''<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Quartic Curves and Their Bitangents''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|oct 21<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Multiview Geometry''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|Oct 28<br />
|-<br />
|Nov 4<br />
|[http://www.math.lsa.umich.edu/people/facultyDetail.php?uniqname=sijue Sijue Wu] (U Michigan)<br />
|''TBA''<br />
|Qin Li<br />
|-<br />
|Nov 11<br />
|[http://cams.ehess.fr/document.php?id=891 Henri Berestycki] (EHESS and University of Chicago)<br />
|''TBA''<br />
|'''Wasow lecture'''<br />
|-<br />
|Nov 18<br />
|[http://pages.cs.wisc.edu/~brecht/ Benjamin Recht] (UW-Madison, CS Department)<br />
|''TBA''<br />
|Jordan<br />
|-<br />
|Dec 2<br />
|[http://ib.berkeley.edu/people/faculty/person_detail.php?person=61 Robert Dudley] (University of California, Berkeley)<br />
|''From Gliding Ants to Andean Hummingbirds: The Evolution of Animal Flight Performance''<br />
|Jean-Luc<br />
|-<br />
|dec 9<br />
|[http://www.math.harvard.edu/~xinwenz/ Xinwen Zhu] (Harvard University)<br />
|''TBA''<br />
|Tonghai<br />
|}<br />
<br />
== Spring 2012 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|'''Jan 26, Thu'''<br />
|[http://people.cs.uchicago.edu/~const Peter Constantin] (University of Chicago)<br />
|''TBA''<br />
|'''distinguished lecturer'''<br />
|-<br />
|Jan 27<br />
|[http://people.cs.uchicago.edu/~const Peter Constantin] (University of Chicago)<br />
|''TBA''<br />
|'''distinguished lecturer'''<br />
|-<br />
|Feb 24<br />
|[http://www.math.ubc.ca/~malabika/ Malabika Pramanik] (University of British Columbia)<br />
|''TBA''<br />
|Benguria<br />
|-<br />
|March 2<br />
|[http://www.comsec.uwaterloo.ca/~ggong/ Guang Gong] (University of Waterloo)<br />
|''TBA''<br />
|Shamgar<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Fri, Sept 9: Manfred Einsiedler (ETH-Zurich)===<br />
''Periodic orbits on homogeneous spaces''<br />
<br />
We call an orbit xH of a subgroup H<G on a quotient space Gamma \ G<br />
periodic if it has finite H-invariant volume. These orbits have<br />
intimate connections to a variety of number theoretic problems, e.g.<br />
both integer quadratic forms and number fields give rise periodic<br />
orbits and these periodic orbits then relate to local-global problems<br />
for the quadratic forms or to special values of L-functions. We will<br />
discuss whether a sequence of periodic orbits equidistribute in Gamma<br />
\ G assuming the orbits become more complicated (which can be measured<br />
by a discriminant). If H is a diagonal subgroup (also called torus or<br />
Cartan subgroup), this is not always the case but can be true with a<br />
bit more averaging. As a theorem of Mozes and Shah show the case where<br />
H is generated by unipotents is well understand and is closely related<br />
to the work of M. Ratner. We then ask about the rate of approximation,<br />
where the situation is much more complex. The talk is based on several<br />
papers which are joint work with E.Lindenstrauss, Ph. Michel, and A.<br />
Venkatesh resp. with G. Margulis and A. Venkatesh.<br />
<br />
<br />
===Fri, Sept 16: Richard Rimanyi (UNC)===<br />
''Global singularity theory''<br />
<br />
The topology of the spaces A and B may force every map from A to B to have certain singularities. For example, a map from the Klein bottle to 3-space must have double points. A map from the projective plane to the plane must have an odd number of cusp points. <br />
<br />
To a singularity one may associate a polynomial (its Thom polynomial) which measures how topology forces this particular singularity. In the lecture we will explore the theory of Thom polynomials and their applications in enumerative geometry. Along the way, we will meet a wide spectrum of mathematical concepts from geometric theorems of the ancient Greeks to the cohomology ring of moduli spaces.<br />
<br />
===Fri, Oct 14: Alex Kontorovich (Yale)===<br />
''On Zaremba's Conjecture''<br />
<br />
It is folklore that modular multiplication is "random". This concept is useful for many applications, such as generating pseudorandom sequences, or in quasi-Monte Carlo methods for multi-dimensional numerical integration. Zaremba's theorem quantifies the quality of this "randomness" in terms of certain Diophantine properties involving continued fractions. His 40-year old conjecture predicts the ubiquity of moduli for which this Diophantine property is uniform. It is connected to Markoff and Lagrange spectra, as well as to families of "low-lying" divergent geodesics on the modular surface. We prove that a density one set satisfies Zaremba's conjecture, using recent advances such as the circle method and estimates for bilinear forms in the Affine Sieve, as well as a "congruence" analog of the renewal method in the thermodynamical formalism. This is joint work with Jean Bourgain.<br />
<br />
===Wed, Oct 19: Bernd Sturmfels (Berkeley)===<br />
''Convex Algebraic Geometry''<br />
<br />
This lecture concerns convex bodies with an interesting algebraic structure.<br />
A primary focus lies on the geometry of semidefinite optimization. Starting<br />
with elementary questions about ellipses in the plane, we move on to discuss<br />
the geometry of spectrahedra, orbitopes, and convex hulls of real varieties.<br />
<br />
===Thu, Oct 20: Bernd Sturmfels (Berkeley)===<br />
''Quartic Curves and Their Bitangents''<br />
<br />
We present a computational study of plane curves of degree four, with<br />
primary focus on writing their defining polynomials as sums of squares<br />
and as symmetric determinants. Number theorists will enjoy the appearance<br />
of the Weyl group <math>E_7</math> as the Galois group of the 28 bitangents. Based<br />
on joint work with Daniel Plaumann and Cynthia Vinzant, this lecture<br />
spans a bridge from 19th century algebra to 21st century optimization.<br />
<br />
===Fri, Oct 21: Bernd Sturmfels (Berkeley)===<br />
''Multiview Geometry''<br />
<br />
The study of two-dimensional images of three-dimensional scenes is a foundational subject for computer vision, known as multiview geometry.<br />
We present recent work with Chris Aholt and Rekha Thomas on the polynomials defining images taken by n cameras. Our varieties are threefolds that vary<br />
in a family of dimension 11n-15 when the cameras are moving. We use toric geometry and multigraded Hilbert schemes to characterize degenerations<br />
of camera positions.</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia_2012-2013&diff=2310Colloquia 2012-20132011-08-22T14:29:07Z<p>Mitchell: /* Thu, Oct 20: Bernd Sturmfels (Berkeley) */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
== Fall 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 9<br />
|[http://www.math.ethz.ch/~einsiedl Manfred Einsiedler] (ETH-Zurich)<br />
|''Periodic orbits on homogeneous spaces''<br />
|Fish<br />
|-<br />
|Sep 16<br />
|[http://www.unc.edu/~rimanyi/ Richard Rimanyi] (UNC-Chapel Hill)<br />
|''Global singularity theory''<br />
|Maxim<br />
|-<br />
|Sep 23<br />
|[http://www.math.wisc.edu/~andreic Andrei Caldararu] (UW-Madison)<br />
|''The Hodge theorem as a derived self-intersection''<br />
|(local)<br />
|-<br />
|Sep 30<br />
|-<br />
|Oct 7<br />
|[http://www.education.wisc.edu/ci/mathEd/?folder=people&pageName=ghousseini Hala Ghousseini] (University of Wisconsin-Madison)<br />
|''TBA''<br />
|Lempp<br />
|-<br />
|Oct 14<br />
|[http://www.math.sunysb.edu/~alexk/ Alex Kontorovich] (Yale)<br />
|''On Zaremba's Conjecture''<br />
|Shamgar<br />
|-<br />
|'''oct 19, Wed'''<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Convex Algebraic Geometry''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|'''oct 20, Thu'''<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Quartic Curves and Their Bitangents''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|oct 21<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Multiview Geometry''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|Oct 28<br />
|-<br />
|Nov 4<br />
|[http://www.math.lsa.umich.edu/people/facultyDetail.php?uniqname=sijue Sijue Wu] (U Michigan)<br />
|''TBA''<br />
|Qin Li<br />
|-<br />
|Nov 11<br />
|[http://cams.ehess.fr/document.php?id=891 Henri Berestycki] (EHESS and University of Chicago)<br />
|''TBA''<br />
|'''Wasow lecture'''<br />
|-<br />
|Nov 18<br />
|[http://pages.cs.wisc.edu/~brecht/ Benjamin Recht] (UW-Madison, CS Department)<br />
|''TBA''<br />
|Jordan<br />
|-<br />
|Dec 2<br />
|[http://ib.berkeley.edu/people/faculty/person_detail.php?person=61 Robert Dudley] (University of California, Berkeley)<br />
|''From Gliding Ants to Andean Hummingbirds: The Evolution of Animal Flight Performance''<br />
|Jean-Luc<br />
|-<br />
|dec 9<br />
|[http://www.math.harvard.edu/~xinwenz/ Xinwen Zhu] (Harvard University)<br />
|''TBA''<br />
|Tonghai<br />
|}<br />
<br />
== Spring 2012 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|'''Jan 26, Thu'''<br />
|[http://people.cs.uchicago.edu/~const Peter Constantin] (University of Chicago)<br />
|''TBA''<br />
|'''distinguished lecturer'''<br />
|-<br />
|Jan 27<br />
|[http://people.cs.uchicago.edu/~const Peter Constantin] (University of Chicago)<br />
|''TBA''<br />
|'''distinguished lecturer'''<br />
|-<br />
|Feb 24<br />
|[http://www.math.ubc.ca/~malabika/ Malabika Pramanik] (University of British Columbia)<br />
|''TBA''<br />
|Benguria<br />
|-<br />
|March 2<br />
|[http://www.comsec.uwaterloo.ca/~ggong/ Guang Gong] (University of Waterloo)<br />
|''TBA''<br />
|Shamgar<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Fri, Sept 9: Manfred Einsiedler (ETH-Zurich)===<br />
''Periodic orbits on homogeneous spaces''<br />
<br />
We call an orbit xH of a subgroup H<G on a quotient space Gamma \ G<br />
periodic if it has finite H-invariant volume. These orbits have<br />
intimate connections to a variety of number theoretic problems, e.g.<br />
both integer quadratic forms and number fields give rise periodic<br />
orbits and these periodic orbits then relate to local-global problems<br />
for the quadratic forms or to special values of L-functions. We will<br />
discuss whether a sequence of periodic orbits equidistribute in Gamma<br />
\ G assuming the orbits become more complicated (which can be measured<br />
by a discriminant). If H is a diagonal subgroup (also called torus or<br />
Cartan subgroup), this is not always the case but can be true with a<br />
bit more averaging. As a theorem of Mozes and Shah show the case where<br />
H is generated by unipotents is well understand and is closely related<br />
to the work of M. Ratner. We then ask about the rate of approximation,<br />
where the situation is much more complex. The talk is based on several<br />
papers which are joint work with E.Lindenstrauss, Ph. Michel, and A.<br />
Venkatesh resp. with G. Margulis and A. Venkatesh.<br />
<br />
<br />
===Fri, Sept 16: Richard Rimanyi (UNC)===<br />
''Global singularity theory''<br />
<br />
The topology of the spaces A and B may force every map from A to B to have certain singularities. For example, a map from the Klein bottle to 3-space must have double points. A map from the projective plane to the plane must have an odd number of cusp points. <br />
<br />
To a singularity one may associate a polynomial (its Thom polynomial) which measures how topology forces this particular singularity. In the lecture we will explore the theory of Thom polynomials and their applications in enumerative geometry. Along the way, we will meet a wide spectrum of mathematical concepts from geometric theorems of the ancient Greeks to the cohomology ring of moduli spaces.<br />
<br />
===Fri, Oct 14: Alex Kontorovich (Yale)===<br />
''On Zaremba's Conjecture''<br />
<br />
It is folklore that modular multiplication is "random". This concept is useful for many applications, such as generating pseudorandom sequences, or in quasi-Monte Carlo methods for multi-dimensional numerical integration. Zaremba's theorem quantifies the quality of this "randomness" in terms of certain Diophantine properties involving continued fractions. His 40-year old conjecture predicts the ubiquity of moduli for which this Diophantine property is uniform. It is connected to Markoff and Lagrange spectra, as well as to families of "low-lying" divergent geodesics on the modular surface. We prove that a density one set satisfies Zaremba's conjecture, using recent advances such as the circle method and estimates for bilinear forms in the Affine Sieve, as well as a "congruence" analog of the renewal method in the thermodynamical formalism. This is joint work with Jean Bourgain.<br />
<br />
===Wed, Oct 19: Bernd Sturmfels (Berkeley)===<br />
''Convex Algebraic Geometry''<br />
<br />
This lecture concerns convex bodies with an interesting algebraic structure.<br />
A primary focus lies on the geometry of semidefinite optimization. Starting<br />
with elementary questions about ellipses in the plane, we move on to discuss<br />
the geometry of spectrahedra, orbitopes, and convex hulls of real varieties.<br />
<br />
===Thu, Oct 20: Bernd Sturmfels (Berkeley)===<br />
''Quartic Curves and Their Bitangents''<br />
<br />
We present a computational study of plane curves of degree four, with<br />
primary focus on writing their defining polynomials as sums of squares<br />
and as symmetric determinants. Number theorists will enjoy the appearance<br />
of the Weyl group $E_7$ as the Galois group of the 28 bitangents. Based<br />
on joint work with Daniel Plaumann and Cynthia Vinzant, this lecture<br />
spans a bridge from 19th century algebra to 21st century optimization.<br />
<br />
===Fri, Oct 21: Bernd Sturmfels (Berkeley)===<br />
''Multiview Geometry''<br />
<br />
The study of two-dimensional images of three-dimensional scenes is a foundational subject for computer vision, known as multiview geometry.<br />
We present recent work with Chris Aholt and Rekha Thomas on the polynomials defining images taken by n cameras. Our varieties are threefolds that vary<br />
in a family of dimension 11n-15 when the cameras are moving. We use toric geometry and multigraded Hilbert schemes to characterize degenerations<br />
of camera positions.</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia_2012-2013&diff=2309Colloquia 2012-20132011-08-22T14:28:37Z<p>Mitchell: /* Wed, Oct 19: Bernd Sturmfels (Berkeley) */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
== Fall 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 9<br />
|[http://www.math.ethz.ch/~einsiedl Manfred Einsiedler] (ETH-Zurich)<br />
|''Periodic orbits on homogeneous spaces''<br />
|Fish<br />
|-<br />
|Sep 16<br />
|[http://www.unc.edu/~rimanyi/ Richard Rimanyi] (UNC-Chapel Hill)<br />
|''Global singularity theory''<br />
|Maxim<br />
|-<br />
|Sep 23<br />
|[http://www.math.wisc.edu/~andreic Andrei Caldararu] (UW-Madison)<br />
|''The Hodge theorem as a derived self-intersection''<br />
|(local)<br />
|-<br />
|Sep 30<br />
|-<br />
|Oct 7<br />
|[http://www.education.wisc.edu/ci/mathEd/?folder=people&pageName=ghousseini Hala Ghousseini] (University of Wisconsin-Madison)<br />
|''TBA''<br />
|Lempp<br />
|-<br />
|Oct 14<br />
|[http://www.math.sunysb.edu/~alexk/ Alex Kontorovich] (Yale)<br />
|''On Zaremba's Conjecture''<br />
|Shamgar<br />
|-<br />
|'''oct 19, Wed'''<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Convex Algebraic Geometry''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|'''oct 20, Thu'''<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Quartic Curves and Their Bitangents''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|oct 21<br />
|[http://math.berkeley.edu/~bernd/ Bernd Sturmfels] (UC Berkeley)<br />
|''Multiview Geometry''<br />
|'''distinguished lecturer'''<br />
|Shamgar <br />
|-<br />
|Oct 28<br />
|-<br />
|Nov 4<br />
|[http://www.math.lsa.umich.edu/people/facultyDetail.php?uniqname=sijue Sijue Wu] (U Michigan)<br />
|''TBA''<br />
|Qin Li<br />
|-<br />
|Nov 11<br />
|[http://cams.ehess.fr/document.php?id=891 Henri Berestycki] (EHESS and University of Chicago)<br />
|''TBA''<br />
|'''Wasow lecture'''<br />
|-<br />
|Nov 18<br />
|[http://pages.cs.wisc.edu/~brecht/ Benjamin Recht] (UW-Madison, CS Department)<br />
|''TBA''<br />
|Jordan<br />
|-<br />
|Dec 2<br />
|[http://ib.berkeley.edu/people/faculty/person_detail.php?person=61 Robert Dudley] (University of California, Berkeley)<br />
|''From Gliding Ants to Andean Hummingbirds: The Evolution of Animal Flight Performance''<br />
|Jean-Luc<br />
|-<br />
|dec 9<br />
|[http://www.math.harvard.edu/~xinwenz/ Xinwen Zhu] (Harvard University)<br />
|''TBA''<br />
|Tonghai<br />
|}<br />
<br />
== Spring 2012 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|'''Jan 26, Thu'''<br />
|[http://people.cs.uchicago.edu/~const Peter Constantin] (University of Chicago)<br />
|''TBA''<br />
|'''distinguished lecturer'''<br />
|-<br />
|Jan 27<br />
|[http://people.cs.uchicago.edu/~const Peter Constantin] (University of Chicago)<br />
|''TBA''<br />
|'''distinguished lecturer'''<br />
|-<br />
|Feb 24<br />
|[http://www.math.ubc.ca/~malabika/ Malabika Pramanik] (University of British Columbia)<br />
|''TBA''<br />
|Benguria<br />
|-<br />
|March 2<br />
|[http://www.comsec.uwaterloo.ca/~ggong/ Guang Gong] (University of Waterloo)<br />
|''TBA''<br />
|Shamgar<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Fri, Sept 9: Manfred Einsiedler (ETH-Zurich)===<br />
''Periodic orbits on homogeneous spaces''<br />
<br />
We call an orbit xH of a subgroup H<G on a quotient space Gamma \ G<br />
periodic if it has finite H-invariant volume. These orbits have<br />
intimate connections to a variety of number theoretic problems, e.g.<br />
both integer quadratic forms and number fields give rise periodic<br />
orbits and these periodic orbits then relate to local-global problems<br />
for the quadratic forms or to special values of L-functions. We will<br />
discuss whether a sequence of periodic orbits equidistribute in Gamma<br />
\ G assuming the orbits become more complicated (which can be measured<br />
by a discriminant). If H is a diagonal subgroup (also called torus or<br />
Cartan subgroup), this is not always the case but can be true with a<br />
bit more averaging. As a theorem of Mozes and Shah show the case where<br />
H is generated by unipotents is well understand and is closely related<br />
to the work of M. Ratner. We then ask about the rate of approximation,<br />
where the situation is much more complex. The talk is based on several<br />
papers which are joint work with E.Lindenstrauss, Ph. Michel, and A.<br />
Venkatesh resp. with G. Margulis and A. Venkatesh.<br />
<br />
<br />
===Fri, Sept 16: Richard Rimanyi (UNC)===<br />
''Global singularity theory''<br />
<br />
The topology of the spaces A and B may force every map from A to B to have certain singularities. For example, a map from the Klein bottle to 3-space must have double points. A map from the projective plane to the plane must have an odd number of cusp points. <br />
<br />
To a singularity one may associate a polynomial (its Thom polynomial) which measures how topology forces this particular singularity. In the lecture we will explore the theory of Thom polynomials and their applications in enumerative geometry. Along the way, we will meet a wide spectrum of mathematical concepts from geometric theorems of the ancient Greeks to the cohomology ring of moduli spaces.<br />
<br />
===Fri, Oct 14: Alex Kontorovich (Yale)===<br />
''On Zaremba's Conjecture''<br />
<br />
It is folklore that modular multiplication is "random". This concept is useful for many applications, such as generating pseudorandom sequences, or in quasi-Monte Carlo methods for multi-dimensional numerical integration. Zaremba's theorem quantifies the quality of this "randomness" in terms of certain Diophantine properties involving continued fractions. His 40-year old conjecture predicts the ubiquity of moduli for which this Diophantine property is uniform. It is connected to Markoff and Lagrange spectra, as well as to families of "low-lying" divergent geodesics on the modular surface. We prove that a density one set satisfies Zaremba's conjecture, using recent advances such as the circle method and estimates for bilinear forms in the Affine Sieve, as well as a "congruence" analog of the renewal method in the thermodynamical formalism. This is joint work with Jean Bourgain.<br />
<br />
===Wed, Oct 19: Bernd Sturmfels (Berkeley)===<br />
''Convex Algebraic Geometry''<br />
<br />
This lecture concerns convex bodies with an interesting algebraic structure.<br />
A primary focus lies on the geometry of semidefinite optimization. Starting<br />
with elementary questions about ellipses in the plane, we move on to discuss<br />
the geometry of spectrahedra, orbitopes, and convex hulls of real varieties.<br />
<br />
===Thu, Oct 20: Bernd Sturmfels (Berkeley)===<br />
''Quartic Curves and Their Bitangents''<br />
<br />
A smooth quartic curve in the complex projective plane has 36inequivalent representations as a symmetric determinant of linear forms<br />
and 63 representations as a sum of three squares. We compute these objects from the 28 bitangents. This expresses Vinnikov quartics<br />
as spectrahedra and positive quartics as Gram matrices. We explore the geometry of Gram spectrahedra and the variety of Cayley octads. Interwoven is a delightful exposition of the 19th century theory of plane quartics.<br />
<br />
===Fri, Oct 21: Bernd Sturmfels (Berkeley)===<br />
''Multiview Geometry''<br />
<br />
The study of two-dimensional images of three-dimensional scenes is a foundational subject for computer vision, known as multiview geometry.<br />
We present recent work with Chris Aholt and Rekha Thomas on the polynomials defining images taken by n cameras. Our varieties are threefolds that vary<br />
in a family of dimension 11n-15 when the cameras are moving. We use toric geometry and multigraded Hilbert schemes to characterize degenerations<br />
of camera positions.</div>Mitchellhttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=412Applied2010-08-01T16:19:03Z<p>Mitchell: </p>
<hr />
<div>== '''Applied Mathematics at UW Madison''' ==<br />
<br />
<br />
'''Tenured and tenure-track faculty in applied math'''<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:]<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:]<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:]<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:]<br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:]<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:]<br />
<br />
[http://www.math.wisc.edu/~kiselev/ Alex Kiselev:]<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:]<br />
<br />
[http://www.math.wisc.edu/~milewski/ Paul Milewski:]<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~rossmani/ James Rossmanith:]<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:]<br />
<br />
[http://www.math.wisc.edu/~stech/ Sam Stechmann:]<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:]<br />
<br />
'''Postdoctoral fellows in applied mathematics'''<br />
<br />
'''Seminars in applied mathematics'''<br />
<br />
[http://www.math.wisc.edu/~rossmani/ACMS/ Applied and Computational Math Seminar] (Fridays at 2:25, VV901)</div>Mitchell