Past and Present Ph. D. students
Some of my current students:
Glen Wilson is working with the motivic Adams Spectral sequencem
and also the algebraic cobordism spectrum MGL.
Here are my previous students.
"Homological algebra of commutative monoids" (January 2015)
Jaret Flores is working on the homological properties of commutative
monoids and monoid schemes, including extensions and divisor class groups.
He is now working for GIS Workshop.
"Slice filtration and torsion theory in motivic cohomology"
Knight Fu is working with Motives in algebraic geometry.
His thesis studied the restriction of the slice filtration to
the category of homotopy invariant sheaves with transfers (HI)
and the Rost-Déglise category of homotopy modules.
He is now working for MediaMath.
"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.
In 2005, we finished writing up the
Lectures in Motivic Cohomology,
based upon a course taught by Voeovdsky in 1999-2000.
He is now in the Mathematics Department of the
Università di Milano.
Jason Andrew Jones
"Reconstruction of quantum coordinate algebras" (December 1995)
Jason Jones defined 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.
"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 thesis is published in
Trans. AMS 332 (1992), 889-921.
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.