Patrick Corn

Emory Fellow

Department of Mathematics and Computer Science
Emory University
400 Dowman Dr, W401
Atlanta, GA 30322, USA

Email: pcorn (at) mathcs (dot) emory (dot) edu

Teaching

Currently (spring semester 2010) I'm teaching one section of Math 221, Linear Algebra. Here is a link to other courses I've taught in the past.

Research interests

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

Papers

Brauer-Manin obstructions on genus-2 K3 surfaces, in preparation.

Torsion points on CM elliptic curves (with P. L. Clark and J. Stankewicz), in preparation.

Tate-Shafarevich groups and K3 surfaces, Math. Comp. 79 (2010), 563-581.

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

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.

Brauer-Manin obstructions on K3 surfaces and Sha for genus-2 Jacobians, slides from a talk I gave at the 2009 AMS Joint Meetings.

Professional information

My current CV in pdf and Word form.

My old page.
My older page.
Personal page