Frank Thorne NSF Postdoctoral Fellow Stanford University Department of Mathematics 382-X Sloan Hall Stanford, CA 94305 fthorne [at] math [dot] stanford [dot] edu

I recently finished graduate school at the University of Wisconsin, under the direction of Ken Ono.

My research interests include various aspects of analytic and algebraic number theory.

Curriculum vitae. (a little bit out of date, for now)

Informal seminar in analytic number theory.

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, accepted for publication.

3. Bubbles of congruent primes, submitted (and recently improved!).

4. An uncertainty principle for function fields, submitted.

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

In preparation: (please ask if you would like to see a draft of any of these.)

6. An improved version of the effective Chebotarev density theorem, in progress.

7. (with K. Soundararajan) On the existence of large degree representations for fields of small discriminant, in progress.

8. $A_5$ extensions, sieve methods, and Bhargava's parametrizations, in progress.

Dead letter office.

Upcoming Professional Activities:

None scheduled at the moment.

Previous talks.

Other Stuff