Evan Dummit’s Main Page

Main. Current Teaching. Course Notes. Lectures.

- I am currently a Postdoctoral Associate at ASU, and my office is 744 Wexler, (430)-965-5003. Previously, I was a Visiting Assistant Professor at the University of Rochester.
- This fall, I am teaching MAT 342 (Linear Algebra).
- Lecture notes for my past courses, covering the full calculus sequence, along with some other topics courses, are available on my Course Notes page.
- Email is the best way to contact me: edummit[at]asu[dot]edu.
- Here is a copy of my CV.

- I earned a BS and MS in Mathematics from Caltech in 2009, an MA in Mathematics from UW-Madison in 2010, and my PhD in Mathematics from UW-Madison in 2014. From 2014-2017, I was a Visiting Assistant Professor at the University of Rochester.
- I am an algebraic number theorist by training. However, my interests also include a number of other topics, such as arithmetic dynamics, algebraic combinatorics, finite-field arithmetic and geometry, elliptic curves and modular forms, competition mathematics, and many other things too numerous to list here.
- Past and current projects of mine (see below) have involved finite-field hypergeometric functions and Kloosterman sums, arithmetic statistics of number fields, characterizations of power residue matrices, Kakeya sets over non-archimedean local rings, and computational aspects of p-adic modular symbols.

- Characterizations of the dth-power residue matrices over finite fields, submitted.
- The number of quadratic, cubic, and quartic residue matrices, submitted.
- Counting
*G*-extensions by discriminant, to appear in*Mathematical Research Letters*, 2017 (arxiv). - Characterizations of Quadratic, Cubic, and Quartic Residue Matrices,
*Journal of Number Theory*, 2016 (with D. Dummit and H. Kisilevsky) (arxiv) - Explicit Computations of Hida Families via Overconvergent Modular Symbols,
*Research in Number Theory*, 2016 (with M. Hablicsek, R. Harron, L. Jain, R. Pollack, and D. Ross) (arxiv) - Counting Number Field Extensions of Given Degree, Bounded Discriminant, and Specified Galois Closure, Ph.D. thesis (pdf).
- Kakeya Sets over Non-Archimedean Local Rings,
*Mathematika*, 2013 (with M. Hablicsek) (arxiv) - A Conjecture of Evans on Sums of Kloosterman Sums,
*Proceedings of the American Mathematical Society*, 2010 (with A. Goldberg and A. Perry) (pdf)