Maarten Bergvelt — Representation theory of infinite dimensional Lie algebras, algebraic geometry, super geometry.
Philippe Di Francesco — Mathematical Physics, Enumerative and Algebraic Combinatorics, Integrable models of Statistical Physics, Cluster Algebra, Matrix models, Quantum (Conformal) Field Theory.
Sankar Dutta — Commutative algebra.
Iwan Duursma — Cryptography, algebraic geometry.
William J. Haboush — Algebraic geometry.
Sergei Ivanov — Combinatorial group theory and its applications.
Ilya Kapovich — Geometric group theory and geometric topology.
Sheldon Katz — Algebraic geometry, string theory.
Rinat Kedem — Mathematical physics, representation theory of infinite dimensional Lie algebras, quantum groups, and vertex algebras, integrable models statistical mechanics and quantum field theory.
Randy McCarthy — Algebraic K-theory, algebraic topology.
Igor Mineyev — Geometric group theory, large-scale geometry, hyperbolic groups, various types of homology and cohomology of groups and spaces, topology of manifolds and cell complexes, metric conformal structures, metric geometry.
Thomas Nevins — Algebraic geometry, geometric representation theory, noncommutative algebra, mathematical physics
Bruce Reznick — Combinatorial methods in algebra, analysis, number theory, combinatorics, geometry.
Alexander Yong — Combinatorial aspects of algebra and geometry; algebraic combinatorics.
Laura Escobar — Combinatorial aspects of algebra and algebraic geometry.
Faculty Members in Related Areas
Lou van den Dries — Applications of logic to algebra.
Jeremiah Heller —Motivic homotopy theory, algebraic cycles and K-theory.
Everett Dade — Representation theory, finite groups, ring theory.
E. Graham Evans, Jr. — Commutative algebra, algebraic geometry, homological algebra, polynomials in several variables.
Robert M. Fossum — Commutative algebra.
Daniel R. Grayson — Algebraic K-theory, motivic cohomology, algebraic geometry, number theory, computational algebra.
Phillip A. Griffith — Commutative algebra, polynomials in several variables, homological algebra, ring theory.
Gerald J. Janusz — Representation theory of finite groups, algebraic number theory, Brauer groups, ring theory.
Leon R. McCulloh — Algebraic number theory, Galois module structure.
Anand Pillay — Model theory and algebra; stability theory, model theory of groups and fields with applications, differential fields.
R. Ranga Rao — Reductive groups and their representations and harmonic analysis on homogeneous spaces.
Derek J. S. Robinson — Group theory, especially infinite soluble groups, permutability of subgroups, chain conditions; Connections with homological algebra; Algorithms for groups.
Paul E. Schupp — Group theory, logic, formal language theory and their interconnections.
Stephen V. Ullom — Algebraic number theory.
John H. Walter — Group theory.
Paul M. Weichsel — Algebraic graph theory, graph theory, combinatorial group theory, combinatorics.
Elliot C. Weinberg — Ordered algebraic structures.