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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, David C. Barrow Professor and Distinguished Research Professor, Ph.D. Moscow University, 1990, algebraic geometry. Sloan Fellow.
  • Brian Boe, Professor, Ph.D. Yale University, 1982, representation theory of Lie groups and Lie algebras, geometry of Schubert varieties.
  • Jason Cantarella, Associate 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, Professor, Ph.D. M.I.T., 1992, representation theory and algebraic geometry. Sloan Fellow.

  • Sa'ar Hersonsky, Ph.D. University of Illinois at Chicago, 1994, geometry and topology.
  • Elham Izadi, Professor, Ph.D. University of Utah, 1991, algebraic geometry.

  • Dino Lorenzini, Professor, Ph.D. Berkeley, 1988, algebraic and arithmetic geometry.
  • Clint McCrory, Professor, Ph.D. Brandeis University, 1972, topology of singularities, withapplications to algebraic geometry and differential geometry.
  • Mitch Rothstein, Professor, Ph.D. UCLA, 1984, mathematical physics, algebraic geometry.
  • 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.
  • Robert Varley, Professor, Ph.D. University of North Carolina, 1977, algebraic geometry.

Weekly Seminars (Fall 2007)

All seminars are held in the Boyd Graduate Studies Research Center.

Geometry
Jason Cantarella
Friday, 2:30pm, Room 410

Algebraic Geometry: Valery Alexeev
Wednesday, 2:30p.m. - 3:45p.m., Room 410

VIGRE - Algebraic Geometry Student Seminar: Elham Izadi
Friday, 3:30pm, Room 410

This week's seminar schedule

Conferences

Each spring we host or participate in the Southeastern Geometry Conference. In recent years this conference has been held in Athens, Charleston SC, and Columbia SC.

VIGRE

Since the fall of 2001 we have had VIGRE research groups on ropelength of knots (Cantarella), moduli of curves (Alexeev), birational geometry (Alexeev), quantum mechanics (Varley), computational knot geometry (Cantarella), and higher-dimensional analogs of stable curves (Alexeev).

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.