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Faculty Research Interests
Arkady Berenstein: quantum groups, representation theory, algebraic combinatorics.
Boris Botvinnik: differential topology, positive scalar curvature, Morse theory.
Marcin Bownik: harmonic analysis, wavelets, approximation theory.
Jon Brundan: algebraic groups, combinatorial representation theory, Lie superalgebras.
Dan Dugger: motivic homotopy theory, K-theory, homological algebra.
Peter Gilkey: higher-signature differential geometry, heat trace analysis.
Jim Isenberg: mathematical general relativity, Ricci flow, nonlinear PDEs.
Alexander Kleshchev: representation theory, Lie theory, group theory.
David Levin: Markov chains and random walks, multiparameter processes, potential theory.
Shlomo Libeskind: mathematics education.
Huaxin Lin: Functional analysis, C*-algebras, dynamical systems.
Peng Lu: geometric analysis, Ricci flow, complex geoemtry.
Victor Ostrik: geometric Lie theory, tensor categories, Hopf algebras.
N. Christopher Phillips: C*-algebras, functional analysis, noncommutative geometry.
Alexander Polischuk: algebraic geometry, noncommutative tori, mathematics related to string theory.
Nicolas Proudfoot: symplectic algebraic geometry, matroid theory, quivers.
Hal Sadofsky: stable homotopy theory, homological algebra, complex cobordism.
Qi-Man Shao: limit theory, large sample statistics, Gaussian processes.
Brad Shelton: non-commutative algebraic geometry, ring theory, homological algebra.
Dev Sinha: rational homotopy theory, knot theory, operads.
Arkady Vaintrob: algebraic geometry, knot theory, mathematical physics, Lie theory.
Marie Vitulli: commutative algebra, closure operations, valuation theory, algebraic geometry.
Hao Wang: superprocesses, mathematical finance, stochiastic PDEs.
Daming Xu: time series, Bayesian statistics, financial statistics.
Yuan Xu: numerical analysis, orthogonal polynomials, approximation theory, harmonic analysis.
Sergey Yuzvinsky: algebraic combinatorics, hyperplane arrangements, algebraic geometry and topology.