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Clayton Petsche

Assistant Professor
Hunter College

cpetsche@hunter.cuny.edu

212.396.6044

Hunter East 928

Dept. of Math. and Stat.
Hunter College
695 Park Avenue
New York, NY 10065 U.S.A.





Where to find me:

My office is Hunter East 928, and my official Fall 2009 office hours are Tuesday 5:00-7:00 P.M. But I can generally be found at Hunter College on Monday, Tuesday, and Wednesday afternoons after 2:00 P.M.

I am usually at the Graduate Center attending research seminars on Thursdays and Fridays. I regularly attend the Joint Columbia-CUNY-NYU Number Theory Seminar, which rotates weekly between Columbia University, the CUNY Graduate Center, and New York University, as well as the Impromptu Seminar in Arithmetic Geometry and the Collaborative Number Theory Seminar, both of which meet weekly at the Graduate Center.




Teaching:

This semester (Fall 2009) I am teaching Calculus with Analytic Geometry I (Math 150) Mon/Wed 5:35-7:35.

Next semester (Spring 2010) I'll be teaching Theory of Functions of a Complex Variable (Math 742) Mon/Wed 5:35-7:35 at Hunter College, and Algebra I (Math 70600) Tue/Thu 12:15-1:45 at the Graduate Center.





Research:

My areas of research are number theory, arithmetic geometry, and algebraic dynamical systems. My papers, with links, are listed below.

A dynamical pairing between two rational maps.
with L. Szpiro and T. Tucker. Submitted for publication.
(arxiv)

A criterion for weak convergence on Berkovich projective space.
Submitted for publication.
(arxiv)

Isotriviality is equivalent to potential good reduction for endomorphisms of PN over function fields.
with L. Szpiro and M. Tepper. J. Algebra, Vol. 322 Iss. 9 (2009) 3345-3365.
(arxiv)

Non-archimedean equidistribution on elliptic curves with global applications.
Pacific J. Math., Vol. 242 No. 2 (2009) 345-375.
(journal) (arxiv)

S-integral preperiodic points for dynamical systems over number fields.
Bull. London Math. Soc., 40(5) 2008, 749-758.
(journal)

Small rational points on elliptic curves over number fields.
New York J. of Math., 12, 2006, 257-268.
(journal) (arxiv)

Global discrepancy and small points on elliptic curves.
with M. Baker. Int. Math. Research Notices, 61, 2005, 3791-3834.
(journal) (arxiv)

A quantitative version of Bilu's equidistribution theorem.
Int. J. of Number Theory, 1 (2) 2005, 281-291.
(journal)

The height of algebraic units in local fields.
Unpublished, 2003.
(pdf)

The distribution of Galois orbits of low height.
Ph.D. Dissertation, The University of Texas at Austin, 2003.
(Texas Digital Library)