Topics for possible thesis projects:
1. Invetsigation of
certain ring properties, based on Chapters 4 and 5
in my book:
Polytopes,
Rings, and K-theory
2. Algorithmic issues on
polynomial automorphisms, based on the book:
Polynomial
Automorphisms (and the Jacobian Conjecture)
Spring 2008.
Maree Afaga - Commutator
automorphisms of formal power series rings in characteristcs 2 and 3,
thesis
Fall 2007
Maree Afaga - Commutator
automorphisms of formal power series rings, thesis project
Reuben Brasher - Quillen's solution
to Serre's problem on Projective modules, seminar talks &
report
Jameson Cahill - K_0 regularity of
regular rings, seminar talks & report
Aaron Dall - Suslin's
work on GL_n of polynomial rings, seminar talks & report
Spring 2006: Research
problems
Viveka Erlandsson - Tame
homomorphisms of polytopal algebras, thesis
Jameson Cahill - Vector bundles and
projective modules, AGC-seminar report
Kayvan Momeni - Algorithmic check
of
Hilb-connectedness of smooth polytopes, AGC-seminar
report
Spring 2005: Research
problems
Viveka Erlandsson - Hom-variaties
in the polytopal linear category, AGC-seminar report
Alexandra Han - Algorithmic
study of hom-polytopes and hom-cones, AGC-seminar report
Mark Contois - Hom-polytopes
and quotient (cokernel) polytopes, AGC-seminar report
Fall 2004 - Spring 2005
John Fisher, Graded
Retractions of
Stanley-Reisner Rings,
thesis
Pierre Dueck, Tight
Cones &
Small Hilbert Bases,
thesis