Vivek Dhand Department of Mathematics Michigan State University A300 Wells Hall East Lansing, MI 48824 dhand at math dot msu dot edu

Teaching

Research

I am currently interested in the arithmetic aspects of the Geometric Langlands program: forms of group schemes, spaces of torsors, and generalizations of the geometric Satake correspondence.

Preprints and papers

1. Geometric Langlands duality and forms of reductive groups (Thesis)
2. Quasi-split group schemes and Langlands duality (w/ K. Vilonen, in preparation)

Miscellaneous

• The definition of a crystal: Crystals.pdf
• The simplicial nerve of a simplicial category: sSet.pdf
• Here is a Java Applet which uses the Littelmann path model to visualize the lowering operators for the root system A2.
• Here is an applet to see (and hear) the periodic points of the Fibonacci matrix acting on the torus.