Patrick Corn

Visiting assistant professor

Department of Mathematics and Computer Science
St. Mary's College of Maryland
168 Schaefer Hall
St. Mary's City, MD 20868, USA

Email: pkcorn (at) smcm (dot) edu

Teaching

Currently (spring semester 2009) I'm teaching two sections of Math 131, Survey of Mathematics; and Math 256, Linear Algebra. (The course websites are available on Blackboard.)

Research interests

Number theory, arithmetic geometry, with an emphasis on explicit methods;
currently, the Brauer-Manin obstruction on K3 surfaces and connections with genus-2 curves,
as well as torsion points on CM elliptic curves

Papers

Tate-Shafarevich groups and K3 surfaces, accepted, Math. Comp.

The Brauer-Manin obstruction on Del Pezzo surfaces of degree 2, Proc. London Math. Soc. 95 (2007), no. 3, 735-777.

Del Pezzo surfaces and the Brauer-Manin obstruction, Ph.D. thesis, U.C. Berkeley, 2005.

Del Pezzo surfaces of degree 6, Math. Res. Lett. 12 (2005), no. 1, 75-84.
Errata for this paper.

Slides

Brauer-Manin obstructions on K3 surfaces and Sha for genus-2 Jacobians, slides from a talk I gave at the AMS/MAA joint meetings in January 2009.

Del Pezzo surfaces and the Brauer-Manin obstruction, slides from an invited talk I gave at a special session of the AMS in analytic number theory and modular forms in November 2006.
Job application materials.
My old page