Debbie Grier, currently an undergrad at Cornell, will be a graduate student in mathematics at Columbia University in Fall 2002.
Geir Helleloid, currently an undergrad at Wisconsin--Madison, will be a graduate student in mathematics at Stanford University in Fall 2002.
a 2001 Harvard graduate,
is studying Theoretical Physics at MIT.
Michael's research won Honorable Mention for the 2001 Morgan Prize. This is a prize given for outstanding undergraduate research in mathematics.
Adnan Rubai, a 2001 graduate of Binghamton University, is a graduate student in mathematics at Binghamton University.
Quadratic inequalities for the descent set of permutations are developed using a probabilistic reformulation of the descent statistic.
Dan Johnston is currently an undergrad at Washington University in St. Louis.
Mohan Rajagopalan, an Oberlin undergrad, is currently a graduate student in Logic at Cornell.
Harold Fox entered the MIT Artificial Intelligence Lab in Fall 2001.
We show how the flag f-vector changes when cutting off any face of a polytope. The result is expressed in terms of explicit linear operators on cd-polynomials. The operation of contracting any face of the polytope is also considered.
Explicit expressions for the cd-index of the free join of two polytopes and the Cartesian product in terms of the cd-basis are determined, as well as an inequality relating these two operations on polytopes. This inequality gives evidence for Stanley's conjecture on Gorenstein* lattices.