University of Illinois at Urbana-ChampaignDepartment of Mathematics
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Algebra

Graduate Courses
The document Graduate Study in Algebra outlines the general areas of algebra studied here and describes the advanced undergraduate and graduate courses that are offered regularly.

Faculty Members in Algebra
Maarten Bergvelt Representation theory of infinite dimensional Lie algebras, algebraic geometry, super geometry.
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 and combinatorial group theory.
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.
Anton Malkin Geometry and representation 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 and interactions with noncommutative algebra and integrable systems
Bruce Reznick Combinatorial methods in algebra, analysis, number theory, combinatorics, geometry.
Hal Schenck Commutative Algebra and Algebraic Geometry
Faculty Members in Related Areas
Lou van den Dries Applications of logic to algebra.
Paul E. Schupp Group theory, logic, formal language theory and their interconnections.

Emeriti Faculty
Everett Dade Representation theory, finite groups, ring theory.
Larry Dornhoff Computer aided instruction, switching and automata theory, algebraic coding theory, finite groups.
E. Graham Evans, Jr. Commutative algebra, algebraic geometry, homological algebra, polynomials in several variables.
Robert M. Fossum Commutative algebra.
John W. Gray Category theory and topology with applications in theoretical computer science and higher dimensional category theory.
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.
Joseph J. Rotman Homological algebra, combinatorics, group theory.
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.

 

Department of Mathematics
273 Altgeld Hall, MC-382
1409 W. Green Street, Urbana, IL 61801 USA
Telephone: (217) 333-3350    Fax: (217) 333-9576     Email: office@math.uiuc.edu