William Schmitt

Picture of William Schmitt
Title:
Professor of Mathematics
Office:
720B
Address:
Phillips Hall
801 22nd St. NW
Washington, District Of Columbia 20052
Phone:
202-994-3138
Fax:
202-994-6760
Email:
[email protected]
Website:
Bill's Website

Areas of Expertise

  • Combinatorics and Algebra
  • Enumeration Theory
  • Partially Odered Sets
  • Matroid Theory
  • Hopf Algebras
  • Category Theory

William Schmitt currently serves a Professor of Mathematics. 

Current Research

  • Algebraic Combinatronics
  • Hopf Algebras
  • Category

Education

  • B.S. 1982, University of Vermont
  • Ph.D. 1986, Massachusetts Institute of Technology

Publications

  1. Primitive elements in the matroid-minor Hopf algebra, preprint, 20 pages (coauthor: H. Crapo).
  2. Renormalization as a functor on bialgebras, Journal of Pure and Applied Algebra (2006), 22 pages (coauthor: C. Brouder).
  3. A unique factorization theorem for matroids, Journal of Combinatorial Theory A 112 (2005), 222-249 (coauthor: H. Crapo). 
  4. The free product of matroids, European Journal of Combinatorics 26 (2005), 1060-1065 (coauthor: H. Crapo). 
  5. A free subalgebra of the algebra of matroids, European Journal of Combinatorics, 26 (2005), 1066-1085 (coauthor: H. Crapo). 
  6. The Whitney algebra of a matroid, Journal of Combinatorial Theory A 91 (2000), 215-263.  
  7. Hopf algebra methods in graph theory (PDF), Journal of Pure and Applied Algebra 101 (1995), 77-90.  
  8. Incidence Hopf algebras, Journal of Pure and Applied Algebra 96 (1994), 299-330.  
  9. Hopf algebras of combinatorial structures, Canadian Journal of Mathematics 45 (1993), 412-428.  
  10. Coclosure operators and chromatic polynomials, Proceedings of the National Academy of Sciences 87 (1990), 4685-4687 (coauthor: N. Ray).