About Me
About Me
Hello! My name is Jonathan Gerhard and I love math! My mathematical interests are very broad, but overall the results that really interest me are those that draw connections between different fields. Because of that, I lean pretty heavily towards Combinatorics and Number Theory! I have a blog called MathematicalADD where I occasionally write down various mathematical thoughts (which hasn't been updated in far too long). I am a recipient of the NSF Graduate Research Fellowship.
Email: jgerhard@umich.edu
I will list out my publications here, but for my full CV, click here.
Local heuristics and an exact formula for abelian varieties of odd prime dimension over finite fields (with C. Williams). Published in the New York Journal of Mathematics, Volume 25, 123-144; January, 2019. Link.
Restricted growth function patterns and statistics (with S. Dahlberg, R. Dorward, T. Grubb, C. Purcell, L. Reppuhn, and B. Sagan). Published in Advances in Applied Mathematics, Volume 100, 1-42; September, 2018. Link.
The Smith and Critical Groups of the Square Rook’s Graph and its Complement (with J. Ducey and N. Watson). Published in the Electronic Journal of Combinatorics, Volume 23, Issue 4; October 14th, 2016. Link.
Set partition patterns and statistics (with S. Dahlberg, R. Dorward, T. Grubb, C. Purcell, L. Reppuhn, and B. Sagan). Published in Discrete Mathematics, Volume 339, Number 1, 1-16; January 1st, 2016. Link.
Math the Russian Way: The Math in Moscow Program. Published in Math Horizons, 26-27; April 2017. Link.
Pattern Avoidance and Combinatorial Statistics for Set Partitions and Restricted Growth Functions (Notes).
- Student Combinatorics Seminar; November 6, 2017.
- University of Michigan Undergraduate Math Club; February 22, 2018.
- University of Michigan Undergraduate Math Club; October 5, 2017.
A fun connection between class groups, conjugacy classes, and isogeny classes (Notes). (A similar but more legible talk here)
- Student Arithmetic Seminar; December 6, 2017.