Joseph Gunther

I'm a mathematician, doing research in number theory and algebraic geometry, with a particular emphasis on arithmetic statistics.
In January 2018, I'll begin a postdoctoral position at Université Paris-Sud (Paris 11/Orsay). Before that, I'll be at University of New South Wales in Sydney, Australia until mid-August 2017, and at University of Wisconsin-Madison for the Fall 2017 semester. Please feel free to contact me at jgunther7 AT gmail dot com.

I received my Ph.D. in June 2017 from City University of New York (CUNY); my advisor was Lucien Szpiro.

Papers and Preprints

1. Slicing the stars: counting algebraic numbers, integers, and units by degree and height, with Robert Grizzard. Accepted, to appear in Algebra & Number TheoryarXiv.

2. Integral points of bounded degree on the projective line and in dynamical orbits, with Wade Hindes. Accepted, to appear in Proceedings of the AMS. arXiv.

3. Random hypersurfaces and embedding curves in surfaces over finite fieldsJournal of Pure and Applied Algebra 221 (2017), no. 1, 89-97. arXiv.

4. Counting cubic curve covers over finite fields. PDF.

5. Counting extensions of function fields geometrically, with Daniel Hast and Vlad Matei. (In preparation.)

6. Counting D_4-extensions of function fields. (In preparation.)

Odds and Ends

Bertini integrality and reducedness over finite fields. PDF.