Dr. Frank Thorne received a research grant from the NSF Division of Mathematical Sciences  on “Quantitative Aspects of Arithmetic Statistics". The total amount of the award is $191,555 for three years.

The project will focus on questions in number theory, and in particular in the area of arithmetic statistics: counting number fields, ideal class groups, and other elliptic curves. A great deal of recent work has been done on this subject, from an algebraic point of view. Thorne's work will focus largely on the analytic and quantitative side. For example, how can we develop tools from harmonic analysis and analytic number theory to get the best possible error terms?

The proposal will also support book projects at both the undergraduate level and at the graduate level, outreach efforts with the Columbia Math Circle, and the Algebra and Number Theory's ongoing efforts to recruit outstanding external speakers to speak at UofSC.