Scott Corry

University of Pennsylvania
Department of Mathematics
209 S. 33rd St.
Philadelphia, PA 19104-6395

Office: DRL 3E2
Office Phone: (215)898-8175
E-mail: scorryATmath.upenn.edu



Curriculum Vitae



Research Interests

My dissertation research concerns the arithmetic and geometry of the open p-adic disc, with a view toward lifting problems in Galois Theory and Arithmetic Algebraic Geometry. More generally, I am interested in the ramification theory of (higher) local fields and in effective forms of higher dimensional class field theories. Recently, I have developed a taste for anabelian questions.

Preprints

Arithmetic and geometry of the open p-adic disc, in preparation.

A Hom-form of the pro-p birational anabelian conjecture (with F. Pop), submitted, arXiv.org/math.AG/0610268.

Other Writings

Non-technical Research Statement - Written for non-mathematicians, this is a brief (and necessarily somewhat vague) description of my research area.

Rationality of p-adic Poincaré Series - An exposition of Denef's proof of the rationality of the p-adic Poincaré series attached to a p-adic variety, using Macintyre's quantifier elimination for the p-adic numbers and Hironaka's resolution of singularities.

Counting Lattice Points in Polytopes via Riemann-Roch - A partial summary of a survey paper of Barvinok and Pommersheim, describing a polynomial time algorithm for computing the Todd class of a toric variety.

Hilbert Functions of Finite Group Orbits: Abelian and Metacyclic Groups - Senior Thesis written under the direction of David Perkinson at Reed College.

Teaching

Fall 2005: Math 114 - Calculus II
Spring 2005:
Math 371 - Algebra
Fall 2004: Math 360 - Advanced Calculus

Pictures of Sebastian