Algebraic Geometry in simplest terms is the study of polynomial equations and the geometry of their solutions. It is an old subject with a rich classical history, while the modern theory is built on a more technical but rich and beautiful foundation. The future looks very bright indeed with promising new directions for research being undertaken, many of which connect algebraic geometry to other areas of mathematics as well as to physics.

Graduate Courses

The document Graduate Studies in Algebraic Geometry outlines the general areas of Algebraic Geometry studied here and describes the advanced undergraduate and graduate courses that are under development or offered regularly.

Upcoming Events in Algebraic Geometry

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Faculty Members in Algebraic Geometry

  • Steven Bradlow, Differential geometry, gauge theory, holomorphic vector bundles, moduli spaces.
  • Christopher Dodd, Algebraic and Arithmetic Geometry, D-modules, Geometric Representation Theory.
  • William J. Haboush, Algebraic groups and homogeneous spaces.
  • Jeremiah Heller, Motivic homotopy theory, algebraic cycles and K-theory.
  • Sheldon Katz, Algebraic geometry, string theory.

Faculty Members in Related Areas

  • Sankar Dutta, Commutative algebra.
  • Rinat Kedem, Mathematical physics, representation theory of infinite dimensional Lie algebras, quantum groups, and vertex algebras, integrable models statistical mechanics and quantum field theory.
  • Rob Leigh (Department of Physics), String theory, non-commutative geometry.
  • James Pascaleff, Symplectic topology and mirror symmetry.
  • Alexander Yong, Combinatorial aspects of algebra and geometry; algebraic combinatorics