There is a very active group with interests including Geometric Topology (eg. Classical Knot Theory, 4-Manifold Theory, Higher Dimensional Knot and Link Theory, and Surgery Theory) and Algebraic Topology (eg. K-theory and Transformation Groups). Graduate topology courses are offered every semester, with topics courses running on alternate years. Graduate students participate in our weekly seminars and are encouraged to give regular talks. Many of our graduate students have gone on to academic positions in mathematics departments.
Faculty in this Research Group
Allan L. Edmonds, Professor Emeritus
Education: Ph.D. Univ. of Michigan, 1973, Advisor: F. Raymond
Geometric Topology, Transformation Groups, Low-Dimensional Topology, Four-dimensional manifolds, Metric Geometry, Convex Geometry
Peter Lambert-Cole, Zorn Postdoctoral Fellow
Education: Ph.D. Louisiana State University, 2014
Contact and symplectic topology; low-dimensional topology
Michael A. Mandell, Professor & Director of Graduate Studies
Education: University of Chicago, 1997
Homotopy theory, stable homotopy theory, algebraic K-theory.
Charmaine Sia, Zorn Postdoctoral Fellow
Education: Ph.D. Harvard University, 2015
Algebraic topology, homotopy theory, the theory of topological modular forms, structured ring spectra, forms of K-theory
Dylan Thurston, Associate Professor
Education: Ph.D. University of California - Berkeley, 2000
Geometric and quantum low-dimensional topology and related fields, including Heegaard Fleor homology and its extension to 3-manifolds with boundary, rigidity of graphs in space, cluster algebras, geometric intersection numbers for curves on surfaces, and finite-type invariants.
Vladimir Touraev, Boucher Professor
Education: Steklov Math. Inst, Academy of Science, Moscow, 1979
Topology and its ramifications Primary research interests are in low-dimensional topology, quantum topology, knot theory, and their interactions with mathematical physics
Faculty With Related Research Interests
Matt Bainbridge, Assistant Professor
Education: Harvard University, 2006
Teichmuller theory, rational billiards, and related questions involving ergodic theory, algebraic geometry, and Hilbert modular varieties.
Chris Connell, Associate Professor
Education: Ph.D. University of Michigan, 1999
Differential geometry, geometric aspects of ergodic theory and random walks.
David Fisher, Professor
Education: University of Chicago, 1999
Rigidity in geometry and dynamics; analytic and geometric group theory; ergodic theory; Lie groups, their discrete subgroups and generalizations.
Christopher Judge, Professor
Education: Ph.D. University of Maryland, 1993
analysis, geometry, and topology
Matvei Libine, Assistant Professor
Education: Harvard University, 2002
representation theory, symplectic geometry, equivariant forms and equivariant cohomology, quaternionic analysis
Ji-Ping Sha, Associate Professor
Education: SUNY at Stony Brook, 1986
Geometry and Topology of Riemannian Manifolds, Manifolds with Nonnegative Curvature
Noah Snyder, Assistant Professor
Education: Ph.D. University of California - Berkeley, 2009
Low-dimensional topology; tensor categories; subfactors; quantum groups; and topological field theories.
Matthias Weber, Professor
Education: Universitat Bonn, 1993
Minimal Surfaces Complex Differential Geometry Teichm�ller Theory Hyperbolic Geometry