My research is in algebraic and differential geometry and in number theory. In particular, I have been concerned with higher codimensional CR structures and with the Hermite problem (which asks for generalizations of continued fractions). My most recent preprint is "A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm", written with S. Assaf, L. Chen, T. Cheslack-Postava, B. Cooper, A. Diesl, M. Lepinski and A. Schuyler, currently available at http://xxx.lanl.gov/abs/math.NT/0206105. I've just written a book, All the Mathematics You Missed:[But Need to Know for Graduate School], published by Cambridge University Press in January, 2002. It is available at http://www.cup.org/titles/catalogue.asp?isbn=0521797071 and at http://www.amazon.com/exec.obidos/ASIN/0521797071.html.
I was an undergraduate at the University of Texas at Austin, a graduate student at Brown and an Evans Instructor at Rice before coming to Williams in 1989. I spent the academic year of 1992-93 on sabbatical at the University of Washington and the academic year of 2000-01 at the University of Michigan, Ann Arbor.
For a list of former senior theses students and abstracts of their theses, click here.
For information on Triangle Sequences and Algebraic Numbers, click here.