Frank Thorne University of South Carolina Department of Mathematics 400-G LeConte College 1523 Greene Street Columbia, SC 29201 thorne [at] math [dot] sc [dot] edu

Teaching

Math 141, Calculus I, Fall 2011.

Math 782, Analytic Number Theory, Fall 2011.

My research interests include various aspects of analytic and algebraic number theory. Recently I have become very interested in Shintani zeta functions and their applications to counting number fields.

Curriculum vitae.

My talk at the Joint Meetings: 1 + 2 + 3 + 4 + ...

Seminars at the University of South Carolina:

Number Theory Seminar, Spring 2012

Publications and Preprints::

1. Bounded gaps between products of primes with applications to elliptic curves and ideal class groups, International Mathematics Research Notices (2008), 41 pp.

2. Irregularities in the distributions of primes in function fields, Journal of Number Theory 128 (2008), 1784-1794.

3. Bubbles of congruent primes, submitted.

4. An uncertainty principle for function fields, Journal of Number Theory 131 (2011), 1363-1389.

5. Maier matrices beyond Z (survey paper), Proceedings of the Integers Conference 2007.

6. Analytic properties of Shintani zeta functions, Proceedings of the RIMS Symposium on automorphic forms, automorphic representations, and related topics (Kyoto, 2010).

7. The secondary term in the counting function for cubic fields (with Takashi Taniguchi), submitted.

8. Shintani's zeta function is not a finite sum of Euler products, submitted.

9. Orbital L-functions for the space of binary cubic forms (with Takashi Taniguchi), submitted.

10. Four perspectives on secondary terms in the Davenport-Heilbronn theorems, submitted.

several more in progress!

Dead letter office.

Upcoming/Recent Professional Activities:

Texas A&M, March 21, 2012.

Southeast Regional Meeting on Numbers, March 30-April 1, 2012.

Teachers' Presentation, AP Calculus Practice Exam, USC, April 24, 2012.

University of Wisconsin, April 26, 2012.

Summer School on Diophantine Equations, Banff, June 10-17, 2012.

Canadian Number Theory Association, June 17-22, 2012.

MRC in Arithmetic Statistics, Snowbird, UT, June 25-29, 2012.

Synergies and Vistas in Analytic Number Theory, Oxford, September 3-7, 2012.

Zeta functions, Tokyo Institute of Technology, September 24-28, 2012.

AMS Sectional Meeting, Tucson, AZ, October 27-28, 2012.

AIM SQuaRE on Four Perspectives on a Secondary Term, October 29-November 2, 2012.

AMS/MAA Joint Meetings, San Diego, January 9-12, 2012.

Previous talks.

Other Stuff