William R. Schmitt
Ph.D.,
Massachusetts Institute of Technology, 1986
Address:
Combinatorics and algebra, with specific interest in
enumeration theory,
partially ordered sets, matroid theory, Hopf algebras and category theory.
- Primitive elements in the
matroid-minor Hopf algebra, preprint, 20 pages (coauthor: H. Crapo).
- Renormalization as a
functor on bialgebras, Journal of Pure and Applied Algebra, to appear,
22 pages (coauthor: C. Brouder).
- A unique factorization theorem
for matroids, Journal of Combinatorial Theory A 112 (2005), 222-249
(coauthor: H. Crapo).
- The free product of matroids,
European Journal of Combinatorics 26 (2005), 1060-1065
(coauthor: H. Crapo).
- A free subalgebra of the algebra of
matroids, European Journal of Combinatorics, 26 (2005), 1066-1085
(coauthor: H. Crapo).
- The Whitney algebra
of a matroid,
Journal of Combinatorial Theory A 91 (2000), 215-263.
- Hopf algebra methods
in graph theory,
Journal of Pure and Applied Algebra 101 (1995), 77-90.
- Incidence Hopf algebras,
Journal of Pure and Applied Algebra 96 (1994), 299-330.
- Hopf algebras of combinatorial
structures,
Canadian Journal of Mathematics 45 (1993), 412-428.
- Coclosure operators and chromatic
polynomials, Proceedings of the National Academy of Sciences 87 (1990), 4685-4687
(coauthor: N. Ray).
- A concrete
introduction to category theory (60 pages, pdf).
An introduction to
category theory, with emphasis on examples from combinatorics and
elementary algebra.
- Notes on modules and
algebras (15 pages, pdf).
Notes written to provide students with necessary background for a
course on Hopf algebras in combinatorics.
The Schedule for the GW
Combinatorics Seminar
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Updated 5 September 2007.