John Stembridge's Research Profile
My research interests are in combinatorics, with particular emphasis on
the following areas:
- Topics related to algebra, especially representation theory
- Coxeter groups and root systems
- Computational problems and algorithms in algebra
- Enumerative combinatorics
- Symmetric functions
- Hypergeometric series and q-series
Reading List
- R. P. Stanley, Enumerative Combinatorics (Volumes I and II),
Cambridge, 1986, 1999.
- I. G. Macdonald, Symmetric Functions and Hall Polynomials,
Oxford, 1979.
- G. D. James and A. Kerber, The Representation Theory of the
Symmetric Group, Addison-Wesley, 1981.
- J. E. Humphreys, Reflection Groups and Coxeter Groups,
Cambridge, 1990.
- W. Fulton and J. Harris, Representation Theory: A First Course,
Springer-Verlag (GTM #129), New York, 1991.
Former Students
- Serge Elnitsky, Ph. D. 1993
- Patrick Headley, Ph. D. 1994
- Mihai Ciucu, Ph. D. 1996
- Debra Waugh, Ph. D. 1997
- Paul Jeray, Ph. D. 2006 (Fall)
- Elizabeth DeWitt, Ph. D. 2012
- Michael Chmutov, Ph. D. 2014
- Stefan Froehlich, Ph. D. 2017 (Summer)
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