information for undegraduate and graduate students

I am always looking for smart, enthusiastic, hard-working undergraduate and graduate students who would like to do some research in any of these topics. Please contact me if you are interested and would like me to show you some research projects. Normally, I would expect work equivalent to a four credit course and a weekly meeting. An important prerequisite is that you like computers and algorithms. Here is a list of books I find useful and recommend for students working with me:

a) Lectures on Polytopes, by G. Ziegler, Graduate texts in Mathematics, vol 152, Springer, Berlin 1995
b) A course on Convexity, by A. Barvinok, Graduate studies in Mathematics, vol. 54, AMS, Providence, 2002
d) Enumerative Combinatorics vols. I and II, by R. P. Stanley, Cambridge University Press, Cambridge, 1997.
e) Grobner bases and Convex Polytopes, by B. Sturmfels, University texts, AMS, Providence, 1995.
f) Modern computer Algebra, by J. von zur Gathen and J. Gerhard., Cambridge Univ. Press, Cambridge, 1999.
g) A=B, by M. Petkovsek, H. Wilf, and D. Zeilberger, AK Peters, Wellesley MA, 1996.
h) Computers and Intractability: A Guide to the Theory of NP-Completeness, by M. R. Garey and D. S. Johnson, W. H. Freeman, 1979.
i) Applied and Computational Complex Analysis, v. 1,2,3, by P. Henrici, Wiley, New York, 1986.
j) Ideals, Varieties and Algorithms, by D. Cox, J. Little, and D. O'Shea, Undergraduate texts in Mathematics, Springer, second edition 1996. __________________________________________________________________

You can access an elementary exposition of past research at the level of a smart high school student, with some activities even suitable for younger kids. In particular, if you are really curious, you can find there an explanation of the logo appearing in my main web page. As you can see there even in geometry my taste is discrete (as in finite). Indeed, sometimes I can be a VERY discrete mathematician.