Google scholar Scientific Commons Front GDZ NUMDAM JStor MathSciNet Webmail SSH UIC Home

Breadcrumbs:

MSCS > graduate studies > research > Pure Mathematics

Faculty Research - Pure Mathematics

Algebra

Paul Fong (Emeritus), Ph.D. Harvard University, 1959. Group theory; representation theory of finite groups.
David Gepner, Ph.D. University of Illinois, 2006. Algebraic topology.
Daniel Groves, Ph.D. University of Oxford, 2000. Geometric group theory.
Olga Kashcheyeva, Ph.D. University of Missouri-Columbia, 2003. Algebraic geometry and commutative algebra.
Richard G. Larson (Emeritus), Ph.D. University of Chicago, 1965. Applications of Hopf algebras to control theory and data mining; structure of Hopf algebras and quantum groups; applications of algebra to computer science.
Jeffrey Leon (Emeritus), Ph.D. California Institute of Technology, 1971. Computation group theory; computational combinatorics.
Mark O'Brien, Ph.D. Tufts University, 2007. Geometric group theory in particular Coxeter groups.
Sonja Petrovic, Ph.D. University of Kentucky, 2008. Commutative, combinatorial and computational algebra; applications of tools from algebra, combinatorics and geometry to problems in biology and statistics.
David E. Radford (Emeritus), Ph.D. University of North Carolina at Chapel Hill, 1970. Hopf algebras; quantum groups; invariants of knots, links and 3-manifolds.
Mark Ronan (Emeritus), Ph.D. University of Oregon, 1978. Groups; geometry.
Stephen Smith (Emeritus), Ph.D. Oxford University, 1973. Finite group theory; combinatorics; computer science; algebraic topology.
Bhama Srinivasan (Emeritus), Ph.D. University of Manchester, 1960. Representation theory of finite groups of Lie type .
Ramin Takloo-Bighash, Ph.D. Johns Hopkins University, 2001. Number Theory.

Number Theory and Algebraic Geometry

Dawei Chen, Ph.D. Harvard University, 2008. Algebraic Geometry.
Alina Cojocaru, Ph.D. Queen's University, 2002. Number Theory .
Izzet Coskun, Ph.D. Harvard University, 2004. Algebraic Geometry.
Lawrence Ein, Ph.D. University of California-Berkeley, 1981. Algebraic geometry.
Henri Gillet, Ph.D. Harvard University, 1978. Arithmetic geometry; algebraic geometry; algebraic k-theory.
Olga Kashcheyeva, Ph.D. University of Missouri-Columbia, 2003. Algebraic geometry and commutative algebra.
Anatoly S. Libgober, Ph.D. Tel-Aviv University, 1977. Topology of algebraic varieties; theory of singularities; mirror symmetry.
Alina Marian, Ph.D. Harvard University, 2004. Moduli theory in algebraic geometry, complex geometry, mathematical physics.
Mihnea Popa, Ph.D. University of Michigan, 2001. Algebraic Geometry.
Christian Schnell, Ph.D. Ohio State University, 2008. Hodge theory, Hodge conjecture and normal functions, multiplier ideal sheaves.
Ramin Takloo-Bighash, Ph.D. Johns Hopkins University, 2001. Number Theory.
Jan Verschelde, Ph.D. Katholieke Universiteit Leuven, Belgium, 1996. Computational algebraic geometry; symbolic-numeric computation; combinatorial and polyhedral methods; development of mathematical software; high performance computing; numerical analysis.
Philip Wagreich, Ph.D. Columbia University, 1967. Mathematics Education; geometry; integrating mathematics and science; curriculum development.
Stephen Yau, Ph.D. State University of New York-Stonybrook, 1976. Algebraic geometry, singularity theory; complex geometry; CR geometry; nonlinear filtering theory; algebraic geometry code; information theory; control theory; financial math; image database; computer software testing, Bioinformatics.

Analysis

Benjamin Akers, Ph.D. University of Wisconsin - Madison, 2008. Solitary waves, Nonlinear wave interactions, Fluid dynamics.
Neil Berger (Emeritus), Ph.D. Courant Institute of Mathematical Sciences, 1968. Elasticity, fluid mechanics.
Calixto Calderon (Emeritus), Ph.D. University of Buenos Aires, 1969. Harmonic analysis; differential equations; mathematical biology and history of science.
Alexey Cheskidov, Ph.D. Indiana University, 2004. Nonlinear PDE, fluid dynamics, and infinite-dimensional dynamical systems.
Laura DeMarco, Ph.D. Harvard University, 2002. Dynamical systems, complex analysis.
David Dumas, Ph.D. Harvard University, 2004. Teichmuller theory, Kleinian Groups, and Hyperbolic Geometry.
Shmuel Friedland, Ph.D. Technion-Israel Institute of Technology, 1971. Matrices & Applications, Statistical Mechanics, Math. Biology, Dynamical Systems.
Michael Greenblatt, Ph.D. Princeton University, 1998. Resolution of singularities in analysis, oscillatory integrals, Radon transforms.
Jeff E. Lewis (Emeritus), Ph.D. Rice University, 1966. Analysis: Harmonic Analysis and Partial Differential Equations.
Charles S.C. Lin (Emeritus), Ph.D. University of California-Berkeley, 1967. Operator theory; perturbation theory; functional analysis.
Irina Nenciu, Ph.D. California Institute of Technology, 2005. Integrable systems, random matrices and mathematical physics.
Christian Rosendal, Ph.D. University of Paris 6, 2003. Descriptive set theory and applications.
Yoram Sagher (Emeritus), Ph.D. University of Chicago, 1967. Harmonic analysis, interpolation theory, mathematics education.
Roman Shvydkoy, Ph.D. University of Missouri-Columbia, 2001. Euler, Navier-Stokes equations, spectral problems, stability.
Zbigniew Slodkowski, Ph.D. Institute of Mathematics of the Polish Academy of Sciences, 1974. Several complex variables.
David Tartakoff (Emeritus), Ph.D. University of California-Berkeley, 1969. Partial differential equations, several complex variables.
Stefan Wenger, Ph.D. ETH Zurich, 2004. Geometric Measure Theory, Metric and Differential Geometry.
Marshall Williams, Ph.D. University of Michigan, 2009. Analysis on metric spaces, geometric measure theory.
Jie Yang, Ph.D. University of Chicago, 2006. Multiple comparisons, Cluster Analysis, Discriminant Analysis, Dimension Reduction, Spatial Statistics, and Financial Mathematics.

Ergodic Theory and Dynamical Systems

Laura DeMarco, Ph.D. Harvard University, 2002. Dynamical systems, complex analysis.
Shmuel Friedland, Ph.D. Technion-Israel Institute of Technology, 1971. Matrices & Applications, Statistical Mechanics, Math. Biology, Dynamical Systems.
Alexander Furman, Ph.D. Hebrew University, 1996. Ergodic theory and Lie groups, especially aspects of rigidity for group actions.
Steven Hurder, Ph.D. University of Illinois-Urbana Champaign, 1980. Differential topology and geometry of foliations; smooth ergodic theory and rigidity of group actions; spectral and index theory of operators.
Howard A. Masur (Emeritus), Ph.D. University of Minnesota, 1974. Dynamical systems; low dimensional topology; Riemann surface theory.

Geometry and Topology

Aldridge K. Bousfield (Emeritus), Ph.D. Massacusetts Institute of Technology, 1966. Algebraic topology, homotopy theory.
Rodrigo Carraminana, Ph.D. University of Iowa, 1993. Algebra: Projective planes, finite geometries, non-Euclidean geometries. Mathematics Education. Also interested in undergraduate research and minorities in mathematics and science.
Marc Culler, Ph.D. University of California-Berkeley, 1978. Group theory; low dimensional topology; 3-manifolds; hyperbolic geometry.
Jason DeBlois, Ph.D. University of Texas - Austin, 2007. Low-dimensional topology, hyperbolic geometry.
David Dumas, Ph.D. Harvard University, 2004. Teichmuller theory, Kleinian Groups, and Hyperbolic Geometry.
David Gepner, Ph.D. University of Illinois, 2006. Algebraic topology.
Brayton Gray (Emeritus), Ph.D. University of Chicago, 1965. Algebraic topology; homotopy theory.
Daniel Groves, Ph.D. University of Oxford, 2000. Geometric group theory.
James Heitsch (Emeritus), Ph.D. University of Chicago, 1971. Differential topology; theory of foliations; index theory; heat equation methods.
Steven Hurder, Ph.D. University of Illinois-Urbana Champaign, 1980. Differential topology and geometry of foliations; smooth ergodic theory and rigidity of group actions; spectral and index theory of operators.
Louis Kauffman, Ph.D. Princeton University, 1972. Knot theory, topological quantum field theory, quantum topology.
Anatoly S. Libgober, Ph.D. Tel-Aviv University, 1977. Topology of algebraic varieties; theory of singularities; mirror symmetry.
Howard A. Masur (Emeritus), Ph.D. University of Minnesota, 1974. Dynamical systems; low dimensional topology; Riemann surface theory.
Mark O'Brien, Ph.D. Tufts University, 2007. Geometric group theory in particular Coxeter groups.
Peter B. Shalen, Ph.D. Harvard University, 1972. Low-dimensional topology; geometric and combinatorial group theory; hyperbolic geometry.
Brooke Shipley, Ph.D. MIT, 1995. Algebraic Topology and Homotopy Theory.
Martin Tangora (Emeritus), Ph.D. Northwestern University, 1966. Algebraic topology.
Stefan Wenger, Ph.D. ETH Zurich, 2004. Geometric Measure Theory, Metric and Differential Geometry.
Kevin Whyte, Ph.D. Univ. of Chicago, 1998. Geometry of groups and group actions.
Marshall Williams, Ph.D. University of Michigan, 2009. Analysis on metric spaces, geometric measure theory.
John Wood, Ph.D. University of California, Berkeley, 1968. Differential and algebraic topology; topology of nonsingular varieties.

Logic and Universal Algebra

John Baldwin (Emeritus), Ph.D. Simon Fraser University, 1971. Model theory: stability theory; applications to algebra and universal algebra; finite model theory; random graphs; math education.
Joel Berman (Emeritus), Ph.D. University of Washington, 1970. Universal algebra; ordered sets.
William Howard (Emeritus), Ph.D. University of Chicago, 1956. Proof theory; foundations of mathematics; history of mathematics.
David E. Marker, Ph.D. Yale University, 1983. Mathematical logic; model theory; applications to algebra and geometry, real and complex exponetntation, differential algebra, connections between model theory and descriptive set theory.
Alice Medvedev, Ph.D. University of California - Berkeley, 2007. model theory (a branch of mathematical logic) and algebraic geometry; difference fields.
Christian Rosendal, Ph.D. University of Paris 6, 2003. Descriptive set theory and applications.

Combinatorics

Dhruv Mubayi, Ph.D. Univ. of Illinois - C/U, 1998. extremal problems on graphs and hypergraphs with applications to theoretical computer science.
Vera Pless (Emeritus), Ph.D. Northwestern University, 1957. Coding theory; combinatorics.
Gyorgy Turan, Ph.D. Joszef A. University (Hungary), 1981. Complexity theory; computational learning theory; combinatorics; logic.