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.
For some faculty working in related areas, see
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.
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 (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.
ghomi (at) math.gatech.edu
Johns Hopkins University, 1998
Geometry and topology of submanifolds, specially curves and surfaces in
Euclidean space, and convexity problems
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.
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.
letu (at) math.gatech.edu
Moscow State U., Ph.D.,
Differential topology
3-manifolds and knots
quasicrystals
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.
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.
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.
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