Difference between revisions of "Algebra"

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(Research at UW-Madison in algebra)
(Research at UW-Madison in algebra)
 
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[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata.  (Joint appointment with CS.)
 
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata.  (Joint appointment with CS.)
 
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<!--[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.  (Joint appointments with ECE and CS.)-->
[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.  (Joint appointments with ECE and CS.)
 
  
 
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.
 
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.
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[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)
 
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)
  
[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics
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[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.
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<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics-->
  
 
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions.  
 
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions.  
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<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.-->
  
[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.
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[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)
  
 
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry:  especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.
 
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry:  especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.
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[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.  
 
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.  
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<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers-->
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[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry
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<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry-->
  
[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers
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Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms
  
[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry
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<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces-->
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[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory
  
[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces
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[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics
  
 
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics-->
 
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics-->
[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories
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<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories-->
 
 
  
 
'''Seminars in algebra'''
 
'''Seminars in algebra'''
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[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)
 
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)
  
[http://uw-aas.tumblr.com Applied Algebra Seminar]  (Thursdays 11)
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[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar]  (Thursdays)
  
 
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)
 
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)
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[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)
 
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)
  
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)
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[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)
  
 
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)
 
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)
  
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[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)
  
  
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'''Emeritus faculty in algebra'''
 
'''Emeritus faculty in algebra'''
 
Richard Askey
 
John Bascom Professor, Ph.D Princeton (1961)
 
Research: Special Functions
 
  
 
Steven Bauman  
 
Steven Bauman  
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Professor, Ph.D. University of Michigan (1959)  
 
Professor, Ph.D. University of Michigan (1959)  
 
Research: Classical geometry and African patterns
 
Research: Classical geometry and African patterns
 
Hiroshi Gunji
 
Professor, Ph.D. Johns Hopkins University (1962)
 
Research: Algebraic geometry
 
  
 
I. Martin Isaacs  
 
I. Martin Isaacs  
 
Professor, Ph.D. Harvard University (1964)  
 
Professor, Ph.D. Harvard University (1964)  
 
Research: Group Theory, Algebra
 
Research: Group Theory, Algebra
 
Arnold Johnson
 
Professor, Ph.D. University of Notre Dame (1965)
 
Research: Classical Groups
 
 
Lawrence Levy
 
Professor, Ph.D. University of Illinois at Urbana-Champaign (1961)
 
Research: Commutative and noncommutative ring theory
 
  
 
J. Marshall Osborn  
 
J. Marshall Osborn  
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Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964)  
 
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964)  
 
Research: Associative Rings and Algebras, Group Theory
 
Research: Associative Rings and Algebras, Group Theory
 
Hans Schneider
 
J. J. Sylvester Professor of Mathematics, Ph.D. University of Edinburgh (1952)
 
Research: Linear algebra and matrix theory
 
  
 
Louis Solomon  
 
Louis Solomon  

Latest revision as of 18:21, 26 February 2021

[[1]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.

Research at UW-Madison in algebra

UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.

Tenured and tenure-track faculty in algebra

Dima Arinkin: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.

Eric Bach: (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)

Andrei Caldararu: (Cornell, 2000) Algebraic geometry, homological algebra, string theory.

Tullia Dymarz: (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)

Jordan Ellenberg: (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.

Daniel Erman: (Berkeley, 2010) Algebraic geometry and commutative algebra

Shamgar Gurevich: (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.

Simon Marshall: (Princeton, 2010) Analytic number theory (also in the analysis group.)

Laurentiu Maxim: (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)

Jose Israel Rodriguez: (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.

Paul Terwilliger: (Illinois, 1982) Combinatorics, representation theory and special functions.

Botong Wang: (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)

Tonghai Yang: (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.


Postdoctoral fellows in algebra


Michael Brown: (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.

Daniel Corey: (Yale, 2018) Tropical geometry

Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms

Mark Shusterman: (Tel Aviv, 2019) Number theory and group theory

Aleksandra (Ola) Sobieska: (Texas A&M University, 2020) Commutative algebra, combinatorics


Seminars in algebra

The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.

Algebraic Geometry Seminar (Fridays at 2:30)

Applied Algebra Seminar (Thursdays)

Combinatorics Seminar (Mondays at 2:25)

Lie Theory Seminar (Mondays at 1:20 in VV901)

Number Theory Seminar (outside speakers)(Thursdays at 2:30)

Number Theory Seminar (grad student speakers) (Tuesdays at 2:30)

SILO (Systems, Information, Learning and Optimization) (Wednesdays at 12:30)

Online Social Chit-Chats (various times)


Upcoming conferences in algebra held at UW

ANTS XIII (Algorithmic Number Theory Symposium), July 2018

Arithmetic of Algebraic Curves, April 2018

Singularities in the Midwest V, March 2018

Previous conferences in algebra held at UW

Singularities in the Midwest IV, March 2017

Applied Algebra Days 3, May 2016

Upper midwest commutative algebra colloquium, November 2015

Stratified spaces in geometric and computational topology and physics (Shaneson 70), March 2015

Applied Algebra Days 2, May 2014

Group Theory, Number Theory, and Topology Day, January 2013

Mirror Symmetry in the Midwest, November 2012

Midwest Algebraic Geometry Graduate Conference, November 2012

Applied Algebra Days, October 2011

Midwest Number Theory Conference for Graduate Students, November 2011

RTG Graduate Student Workshop in Algebraic Geometry, October 2010

Workshop on Pseudo-Anosovs with Small Dilatation, April 2010

Singularities in the Midwest, March 2010

RTG Midwest Graduate Student Conference in Number Theory, November 2009

Midwest Number Theory Day, November 2009

Miniconference on pro-p groups in number theory, April 2008

Pro-p groups and pro-p algebras in number theory, April 2007


Graduate study at UW-Madison in algebra

Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is a list of this fall's graduate courses.

The department holds an NSF-RTG grant in number theory and algebraic geometry, which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.

Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.


Emeritus faculty in algebra

Steven Bauman Professor, University of Illinois at Urbana-Champaign (1962) Research: Finite group theory

Georgia Benkart E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) Research: Lie Theory, Quantum Groups and Representation Theory.

Michael Bleicher Professor, Ph.D. Tulane University and University of Warsaw (1961) Research: Number theory and convex geometry

Richard A. Brualdi Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory

Donald Crowe Professor, Ph.D. University of Michigan (1959) Research: Classical geometry and African patterns

I. Martin Isaacs Professor, Ph.D. Harvard University (1964) Research: Group Theory, Algebra

J. Marshall Osborn Professor, Ph.D. University of Chicago (1957) Research: Non-associative rings and Lie algebras

Donald Passman Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) Research: Associative Rings and Algebras, Group Theory

Louis Solomon Professor, Ph.D. Harvard University (1958) Research: Finite group theory and hyperplane arrangements

Robert Wilson Professor, Ph.D. University of Wisconsin-Madison (1969) Research: Algebra, Math. Education.