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Faculty Research Interests
Shabnam Akhtari:
number theory, Diophantine equations.
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.
Weiyong He:
differential geometry and partial differential equations.
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.
Brad Shelton:
non-commutative algebraic geometry, ring theory, homological algebra.
Chris Sinclair:
random matrix theory, heights of polynomials.
Dev Sinha:
rational homotopy theory, knot theory, operads.
Bartlomiej Siudeja:
probability, differential equations.
Arkady Vaintrob:
algebraic geometry, knot theory, mathematical physics, Lie theory.
Marie Vitulli:
commutative algebra, closure operations, valuation theory,
algebraic geometry.
Vadim Vologodsky:
algebraic geometry, homological algebra.
Hao Wang:
superprocesses, mathematical finance, stochastic PDEs.
Yuan Xu:
numerical analysis, orthogonal polynomials,
approximation theory, harmonic analysis.
Ben Young:
algebraic and enumerative combinatorics,
perfect matchings.
Sergey Yuzvinsky:
algebraic combinatorics, hyperplane arrangements,
algebraic geometry and topology.
