Geometry
Group
The geometry group includes algebraic geometry, differential geometry,
mathematical physics, and representation theory. A diverse group
of mathematicians in the department has a number of overlapping
research interests in a broad range of geometric problems. We share
research interests with faculty in number
theory,
topology, and algebra.
Faculty
and their fields of interest
- Malcolm
Adams, Professor, Ph.D. M.I.T., 1982, mathematical physics,
differential geometry, algebraic geometry.
- Valery
Alexeev, Associate Professor, Ph.D. Moscow University, 1990,
algebraic geometry. Sloan Fellow.
- Dave
Benson, Research Professor, Ph.D. Trinity College, Cambridge
University, 1981, cohomology of finite and compact Lie groups,
modular representation theory, algebraic topology, invariant theory
for finite groups.
- Brian
Boe, Professor, Ph.D. Yale University, 1982, representation
theory of Lie groups and Lie algebras, geometry of Schubert varieties.
- Jason
Cantarella, Assistant Professor, Ph.D. University of Pennsylvania,
1999, vector fields on 3-manifolds, knot theory.
- Joe
Fu, Professor, Ph.D. M.I.T., 1984, differential and integral
geometry, singular spaces, geometric measure theory.
- Bill
Graham, Associate Professor, Ph.D. M.I.T., 1992, representation
theory and algebraic geometry. Sloan Fellow.
- Markus
Hunziker, Postdoc, Ph.D. U.C. San Diego 1997, representation
theory of Lie groups and Lie algebras.
- Elham
Izadi, Associate Professor, Ph.D. University of Utah, 1991,
algebraic geometry.
- Clint
McCrory, Professor, Ph.D. Brandeis University, 1972, topology
of singularities, with applications to algebraic geometry and
differential geometry.
- Jihun
Park, Franklin Fellow Posdoc, Ph.D. Johns Hopkins University,
2001, algebraic geometry, birational maps of Fano fibrations.
- Mitch
Rothstein, Associate Professor, Ph.D. UCLA, 1984, mathematical
physics, algebraic geometry.
- Bill
Rulla, VIGRE Postdoc, Ph.D. University of Texas 2001, birational
geometry, classification of morphisms and rational maps, moduli
spaces of curves.
- Ted
Shifrin, Professor, Ph.D. University of California at Berkeley,
1979, differential geometry, complex algebraic geometry.
- Roy
Smith, Professor, Ph.D. University of Utah, 1977, algebraic
geometry.
- Csilla
Tamas, VIGRE Postdoc, Ph.D. Purdue University, 2001, algebraic
geometry, birational classification of algebraic varieties.
- Robert
Varley, Professor, Ph.D. University of North Carolina, 1977,
algebraic geometry.
Weekly
Seminars (Fall 2002)
All seminars are held
in the Boyd Graduate Studies Research Center.
Differential Geometry
(Fu): Friday 2:30-3:30, room 323.
Algebraic Geometry
(Varley): Tuesday 3:30-5:00, room 326.
Group representations
and cohomology (Benson): Monday and
Wednesday 2:30-3:30, room 410.
This
week's seminar schedule
Conferences
This spring's Southeastern
Geometry Conference was in Athens, April 19-21. The 2001 conference
was an extended special session, Geometry of Curves and Surfaces,
at the AMS sectional meeting at the University of South Carolina.
It was hosted by Mohammad Ghomi and Ralph Howard. In 2000 the conference
was hosted by Annalisa Calini and Alex Kasman at the College of
Charleston.
VIGRE
In the fall of 2001
Jason Cantarella organized a VIGRE research group on ropelength
of knots. Members of the group are the postdoc Nancy Wrinkle,
the graduate students Xander Faber, Chad Mullikin, and Heunggi Park,
and the freshman Darren Wolford.
In the winter of 2002
Valery Alexeev organized a VIGRE research group on moduli of
curves. Members are the postdocs Jihun Park, Bill Rulla, and
Csilla Tamas, and the graduate students Daniele Arcara, Tawanda
Gwena, Peter Petrov, Kenyon Platt, Wade Schueneman, and Vitali
Vologodski.
More
information on VIGRE at UGA
Further
Information
Dave Benson has compiled
useful archive of preprints on representations
and cohomology.
Our Graduate
Bulletin with information for prospective graduate students
is available online. If you are interested in graduate studies in
geometry or topology, and you would like further information on
our group, please contact any of us.
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