Frank Thorne
NSF Postdoctoral Fellow
Stanford University
Department of Mathematics
382-X Sloan Hall
Stanford, CA 94305
fthorne [at] math [dot] stanford [dot] edu
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Frank Thorne
NSF Postdoctoral Fellow |
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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 (a little bit out of date, for now)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.
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 (or some variation thereof...), in progress.
9. (with K. Soundararajan) Zeros of Dirichlet series outside the critical strip, in progress.
Number Theory Seminar/Palmetto Number Theory Series, University of South Carolina, December 2009.
Institute for Advanced Study, December 7-19, 2009.
Workshop at Kobe University, January 13-15, 2010.
RIMS Workshop on automorphic forms and representations, L-functions and related topics, University of Tokyo, January 18-22, 2010.
Mock modular forms in combinatorics and arithmetic geometry, AIM, March 8-12, 2010.
Arizona Winter School, Teaching Assistant, Tucson, March 13-17, 2010.