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 (Spring 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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