Geometry and Topology at Georgia Tech

A significant development at Georgia Tech is the high number of recent hires in geometry and topology. This active research group runs three geometry/topology seminars, each of which has as a major component teaching graduate students.

We are in the process of overhauling our graduate course offerings in geometry, topology and algebra. These now include one year of algebra, one year of differential geometry alternating with one year of algebraic geometry, and one year of algebraic topology alternating with one year of differential and geometric topology. Our course descriptions can be found at: http://www.math.gatech.edu/academic/courses/index.html?class=g.

Faculty in Geometry and Topology

Saugata Basu, Assistant Professor [Joint with CoC]
saugata (at) math.gatech.edu
(404)-894-2416, Skiles 116

My research interests are in computational algebra and geometry, with special focus on algorithmic real algebraic geometry and topology. I am also interested in the applications of techniques from computational algebraic geometry to problems in discrete geometry and theoretical computer science.

Igor Belegradek

I work in Riemannian geometry, studying the interplay between curvature and topology. My other interests include rigidity and flexibility of geometric structures, geometric analysis, and asymptotic geometry of groups and spaces.

John Etnyre, Associate Professor
etnyre (at) math.gatech.edu
404-385-6760, Skiles 163
University of Texas, Austin, Ph.D.,1996

I am interested in geometry, topology and dynamics in low- dimensions. My research focuses on symplectic and contact geometry and the topology of 3- and 4-manifolds.

Stavros Garoufalidis, Professor
stavros (at) math.gatech.edu
(404)-894-6614, Skiles 165
University of Chicago, Ph.D., 1992

I am interested in topology, geometry and its relation to mathematical physics. Mohamed Ghomi, Associate Professor
ghomi (at) math.gatech.edu
Johns Hopkins University, 1998

Geometry and topology of submanifolds, specially curves and surfaces in Euclidean space, and convexity problems

Evans M. Harrell, Professor, Associate Chair for Graduate Studies
harrell (at) math.gatech.edu
(404)-894-9203, Skiles 218D
Princeton University, Ph.D., 1976

I work on two sorts of problems of applied geometry. One of them has to do with the influence of the curvature of a nanostructure (like a quantum wire) on the eigenvalues of the Schrödinger equation. Similarly, I am interested in the inverse spectral problem for the Laplacian. My second interest is in optimal problems of convex geometry. For example, I would like to resolve an old open problem, to characterize the convex body of fixed and constant width which has the smallest volume.

Plamen Iliev Assistant Professor
iliev (at) math.gatech.edu
(404)-894-6555, Skiles 227
Université Catholique de Louvain, Belgium, 1999
Integrable PDEs (KdV, Toda lattice, etc.) and their relations with algebraic geometry and special functions.

Thang Lê, Associate Professor
letu (at) math.gatech.edu
Moscow State U., Ph.D.,

John McCuan, Assistant Professor
mccuan (at) math.gatech.edu
(404)-894-4752, Skiles 265
Stanford University, Ph.D., 1995

I am interested in differential geometry, partial differential equations, and geometric measure theory. Curves and surfaces arising in physical systems figure prominently in my work. Many of the physical systems I consider involve drops and bubbles in a low gravity environment, and some of my results have been tested on the space shuttle. I am also interested in ground-based experiments; see http://www.ace.gatech.edu.

Anurag Singh, Assistant Professor [On Leave]
singh (at) math.gatech.edu

I work in commutative algebra. My interests include characteristic p methods in algebra such as tight closure, local cohomology theory and its applications, and intersection theory. I am also interested in classical questions in the homological theory of local rings. Some of the problems that I work on create possibilities for students to be involved in research by performing computer verifications to suggest answers and plausible approaches.

Margaret Symington, Assistant Professor [On Leave]
msyming (at) math.gatech.edu
(404)-894-9232, Skiles 261
Stanford University, Ph.D., 1996

I am a symplectic topologist. My work incorporates techniques and perspectives from low dimensional topology, toric geometry and Hamiltonian mechanics (integrable systems in particular). I am currently working on the interplay between singular Lagrangian fibrations and the topology of the total space, particularly in dimensions four and six.

For some faculty working in related areas, see

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