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). Until then, I'm at University of Wisconsin-Madison for the Fall 2017 semester. You can contact me at jgunther7 AT gmail dot com. I like reading preprints, so feel free to send them along.

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. Algebra & Number Theory 11 (2017), no. 6, 1385-1436. arXiv.

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

3. Integral points of bounded degree on the projective line and in dynamical orbits, with Wade Hindes. Proceedings of the AMS 145 (2017), no. 12, 5087-5096. arXiv.

4. A positive proportion of odd degree hyperelliptic curves over Q have at most 12 pairs of unexpected quadratic points, with Jackson S. Morrow. arXiv.

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

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

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

Odds and Ends

Bertini integrality and reducedness over finite fields. PDF.