My research is in
Combinatorial representation theory.
H. Barcelo and I have written a survey article about this field,
its main questions and the main results:
Combinatorial representation theory , (with H. Barcelo),
which appeared in the
special volume in conjunction with the special
year 1996-1997 in Combinatorics at MSRI in Berkeley:
New perspectives in algebraic combinatorics
(Berkeley, CA, 1996--97),
23--90, Math. Sci. Res. Inst. Publ., 38 ,
Cambridge Univ. Press, Cambridge, 1999.
Teaching: First Semester 2014
Some reasons to go into math
- from forbes.com 2009: "Our admittedly unscientific study of the 657 self-made billionaires we counted in February for our list of the World's Billionaires yielded some interesting results. First, a significant percentage of billionaires had parents with a high aptitude for math. The ability to crunch numbers is crucial to becoming a billionaire"
- this quote from Hal Varian, Chief Economist, Google, in an address to the 2008 Almaden Institute:
“I was giving some career advice to some students a few months ago, and I said: ‘Look, the critical thing to do is to be complementary: have a scarce talent, a scarce resource, that’s complementary to something that's ubiquitous and cheap. … What's getting ubiquitous and cheap? Data! What’s scarce and expensive? The talent to be able to analyse that data and make it tell its story. So it’s the analytic capability, which I think does involve computers, but ultimately involves the individual’s understanding and talent and capability, that is the dream job of the next decade.’
- Doing the Math to Find the Good Jobs -- Mathematicians Land Top Spot in New Ranking of Best and Worst Occupations in the U.S.A: See http://online.wsj.com/article/SB123119236117055127.html
How to apply to Graduate School in Mathematics
The following manuscripts may be of some general interest.
A survey of quantum groups: background, motivation,
``Geometric analysis and Lie theory in mathematics
and physics'', A. Carey and M. Murray eds.,
Australian Math. Soc. Lecture Notes Series,
Cambridge University Press, 1997, pp. 20-104.
Artin Groups and Coxeter Groups,
(with C. Coleman, R. Corran, J. Crisp, D. Easdown,
R. Howlett and D. Jackson).
An English translation, with notes, of the paper
Artin-gruppen und Coxeter-gruppen
Inv. Math. 17 (1972) 245-271,
by E. Brieskorn and K. Saito.
Lectures on Chevalley Groups,
by Robert Steinberg,
Yale University Lecture Notes 1967.
Thank you to Robert Steinberg for his permission to release these.
Last updated: April 4, 1935