Past and Present Ph. D. students
of Charles Weibel

Carlo Mazza "Schur functors and motives" (December 2003)

Carlo Mazza is working in Motivic Cohomology. His thesis introduced and studied the notion of a "Schur-finite" motive. During calendar year 2004, he was at the University of Paris VII. In 2005, we finished writing up the Lectures in Motivic Cohomology, based upon a course taught by Voeovdsky in 1999-2000.

Jason Jones "Reconstruction of quantum coordinate algebras" (December 1995)

Jason Jones defines the quantum coordinate algebra of any semisimple algebraic group G. If G is a classical group (SL, SO, Sp) his construction agrees with the pre-existing definition. The idea is to study those quantum representations of the associated Lie algebra whose weights lie in a certain lattice, and to use Tannaka-Krein reconstruction.

Jean Rynes "Nonsingular Affine k*-Surfaces" (May 1988)

Jean Rynes classified nonsingular affine surfaces on which the group k* acts algebraically, using a graph which is an equivariant invariant. The main families are obtained from a line bundle over a smooth curve (where k* acts on the fibers) by a sequence of operations, encoded by the graph. Each such operation amounts to adding a fixed point at infinity, blowing it up, and removing a line.

She is now on the faculty of Delaware Valley College in Doylestown PA.