# 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