Thorne, Frank H.

Professor

One of my particular interests is the distribution of number fields, class group torsion, and related topics. I am especially interested in these from an analytic point of view involving Shintani zeta functions associated to prehomogeneous vector spaces. I am also interested in other perspectives on these questions: class field theory and Kummer theory; the Scholz reflection principle; algebro-geometric perspectives on these topics; and other related perspectives.

Biographical Profile

College
College of Arts and Sciences
Department
Mathematics
Tenure Status
Tenured

Interest Background

Do you include students in your research?
None
Interest Keywords
sieve methods, L-functions, and related topics; the distribution of number fields, class group torsion, and related topics; class field theory and Kummer theory; the Scholz reflection principle; algebro-geometric perspectives
Personal Focus Areas
Number Theory, Distribution of Primes and Broadly related questions

Professional Preparation(Education & Training)

Dates Institution Location Degree Field of Study
2008 University of Wisconsin Madison, Wisconsin PhD
1999 Rice University Houston, Texas BA Mathematics (summa cum laude)

Positions & Appointments

Dates Description Institution/Entity
1999 - 2001 English Teacher, America Eigo Gakuin, Kyoto, Japan
2002 - 2004 Software Developer, /n Software, Inc. Durham, North Carolina
2008 NSF Postdoctoral Fellow, Stanford University
2008 Assistant Professor, University of South Carolina

Recognition Awards, Honors, & Fellowships

Dates Type Description Foundation/Entity
2007 Award NSF VIGRE Merit Fellowship
2017 Award Breakthrough Star Award Office of the Vice President for Research, University of South Carolina
Award Excellence in Mathematical Research Award
Award Invited Participant, Math Olympiad Summer Program
Award Letters and Science Teaching Fellow
Award Top 75, Putnam Examination
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