Steve Goldstein Research Facilitator 
Dima Arinkin Professor Research Interests: Geometric Langlands Program, Derived Categories of Sheaves, and Moduli of Vector Bundles http://www.math.wisc.edu/~arinkin/ Most of my research is motivated by the geometric Langlands conjecture. I believe that my results are valuable by themselves, but the Langlands philosophy provides a unifying point of view on my work. Currently, I am working on the following two projects. The first project concerns a new formulation of the categorical Langlands conjecture, which removes the contradictions that plague the ‘naive’ statement. The formulation requires new... 
Eric Bach Professor Research Interests: Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, sixstring automata http://pages.cs.wisc.edu/~bach/ I am interested in how one uses computers to efficiently solve algebraic and numbertheoretic problems (example: how does one tell if a 100digit number is prime without examining all possible factors?). These problems have intrinsic mathematical interest, as well as applications to random number generation, codes for reliable and secure information transmission, computer algebra, and other areas. I am also interested in applying probability... 
Nigel Boston Professor Research Interests: Algebraic Number Theory, Computational Algebra, Arithmetic Geometry, Applied Algebra http://www.math.wisc.edu/~boston/ My research concerns pure and applied algebra. In pure algebra I work on finite and profinite group theory, algebraic number theory (especially Galois representations and prop extensions), computational algebra, and arithmetic geometry. In applied algebra I work on applications of algebra to electrical engineering and computer science, including classical ones such as coding theory, information theory, and cryptography and more novel ones... 
Andrei Caldararu Professor Research Interests: Algebraic geometry, homological algebra, string theory http://www.math.wisc.edu/~andreic/ 
Tullia Dymarz Assistant Professor Research Interests: Geometric group theory, Quasiconformal analysis Working with: Abbott http://www.math.wisc.edu/~dymarz/ My research interests include geometric group theory, quasiisometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis.

Jordan Ellenberg Professor Research Interests: Arithmetic Algebraic Geometry http://www.math.wisc.edu/~ellenber/ My field is arithmetic algebraic geometry: my specific interests include rational points on varieties, enumeration of number fields and other arithmetic objects, incidence problems and algebraic methods in combinatorial geometry, Galois representations attached to varieties and their fundamental groups, representation stability and FImodules, the geometry of large data sets, nonabelian Iwasawa theory, prop group... 
Daniel Erman Assistant Professor Research Interests: Commutative Algebra, Applications of syzygies to Algebraic Geometry http://www.math.wisc.edu/~derman/ I am interested in the study of syzygies and in the use of free complexes in algebraic geometry and commutative algebra. Recently, I have become particularly interested in the study of syzygies under various asymptotic constructions, and in the study of algebraic geometry over finite fields.

Shamgar Gurevich Associate Professor Research Interests: Representation Theory http://www.math.wisc.edu/~shamgar My research is concentrated around applications of group representations. 
Simon Marshall Assistant Professor Research Interests: Discontinuous Groups and Automorphic Forms, Spectral Theory and Eigenvalue Problems for PDOs http://www.math.wisc.edu/~marshall/ My research interests are in the areas of number theory and harmonic analysis. More specifically, I am interested in arithmetic manifolds, which are Riemannian manifolds with large amounts of symmetry that play a central role in number theory. I am primarily interested in the cohomology of these manifolds, and the asymptotic behaviour of their Laplace eigenfunctions. The questions I think about are connected to topics such as the quantum... 
Melanie Matchett Wood Assistant Professor Research Interests: Number Theory and Algebraic Geometry http://www.math.wisc.edu/~mmwood/ The main focus of my research is in number theory and algebraic geometry, but it also involves work in probability, additive combinatorics, and algebraic topology. My PhD work found new explicit descriptions of moduli spaces for algebras and modules for those algebras. In number theory, these descriptions are useful for parametrizing orders in number fields and ideal classes of those orders. In algebraic geometry, the work can be viewed as... 
Laurentiu Maxim Professor Research Interests: Singularity Theory: hypersurface singularities, intersection homology, perverse sheaves and applications, characteristic classes of singular varieties. 
Steven Sam Assistant Professor Research Interests: Commutative Algebra, Combinatorics Working with: Laudone http://math.wisc.edu/~svs/ My work is in the interface between commutative algebra, representation theory, and combinatorics. Recently, I have been interested in syzygies of algebraic varieties and asymptotic behavior of structure coefficients arising in combinatorial representation theory.
Publications: http://www.math.wisc.edu/~svs/writings/ 
Tonghai Yang Professor https://www.math.wisc.edu/~thyang/ My main research interest is in number theory, in particular the interaction between arithmetic geometry, number theory, and representation theory on Shimura varieties. 
Carolyn Abbott Graduate Fellow Working with: Dymarz www.math.wisc.edu/~abbott 
Brandon Alberts Graduate Fellow Research Interests: Number Theory, Arithmetic Statistics Working with: Boston https://brandonalberts.uconn.edu 
Brandon Boggess Graduate Fellow 
Juliette Bruce Graduate Fellow Research Interests: Algebraic Geometry, Commutative Algebra, Number Theory Working with: Erman https://juliettebruce.github.io My interests lie toward the algebraic side of things, with my current research being somewhere in the intersection of commutative algebra, algebraic geometry, and number theory. While my interestes are quite widespread three themes that run throughout most of my projects are: 1) describing algebraic phenomea asymtoptically, 2) working interdisipinarily, and 3) the use and substantial computation often in Macaulay2. ... 
Zachary Charles Graduate Fellow Working with: Boston 
Nathan Clement Graduate Fellow Working with: Arinkin 
William Cocke Graduate Fellow 
Edward Dewey Graduate Fellow Working with: Arinkin 
Christian Geske Graduate Fellow Research Interests: Topology of Singular Spaces Working with: Maxim

Daniel Hast Graduate Fellow Working with: Ellenberg

Ryan Julian Graduate Fellow 
Robert Laudone Graduate Fellow Research Interests: Representation stability, representation theory, algebraic combinatorics Working with: Sam http://www.math.wisc.edu/~laudone/ My interests lie mainly in representation stability and representation theory as well as their connection to combinatorics. Recently I have been particularly interested in bounded generation properties of secant ideals of various varieties. You can find a copy of my CV on my website listed above or by clicking here. 
Julia Lindberg Graduate Fellow Working with: Boston 
Megan Maguire Graduate Fellow Working with: Matchett Wood http://mmaguire.weebly.com/ 
Vlad Matei Graduate Fellow Working with: Hast 
Solly Parenti Graduate Fellow 
Jeff Poskin Graduate Fellow Working with: Del Pia 
Eric Ramos Graduate Fellow Working with: Ellenberg 
Micky Steinberg Graduate Fellow Research Interests: Geometric group theory, large scale geometry of certain graphs of groups Working with: Dymarz 
Jason Steinberg Graduate Fellow Working with: Yang 
Yun Su Graduate Fellow Working with: Maxim 
Kaiho Wong Graduate Fellow Working with: Maxim 
Jay Yang Graduate Fellow Working with: Erman 
Michael Brown Postdoctoral Fellow Research Interests: Ktheory, algebraic geometry, commutative algebra Working with: Caldararu http://www.math.wisc.edu/~mkbrown5/ I study differential graded (dg) categories arising in algebraic geometry. Lately, I've been interested in computing invariants of such categories, such as algebraic/topological Ktheory and cyclic homology. 
Joseph Gunther Postdoctoral Fellow, Graduate Fellow Working with: Matchett Wood 
John WiltshireGordon Postdoctoral Fellow Research Interests: Representation theory, algebraic topology, combinatorics Working with: Ellenberg
Main topics: representation theory of categories, configuration space, homological algebra, computer algebra. 
James Boudouris Undergraduate Student 
Bernard Daley Undergraduate Student 
Samuel Ilic Undergraduate Student 
Sho Kawakami Undergraduate Student 
Jacob Kettinger Undergraduate Student 