Slides from research talks

Slides for a talk given at the University of Michigan graduate student recruitment on March 16th, 2019 and at the Emerging Connections in Number Theory special session at the AMS Spring Central and Western Joint Sectional Meeting on March 24th, 2019.

Slides for a talk given at the CANT 2018 conference on May 22nd, 2018, at the FPSAC 2018 conference on July 17th, 2018, and the University of Michigan Combinatorics Seminar on February 1st, 2019.

Slides for a talk given in the Arithmetic Dynamics Special Session of the AMS Spring Easter Sectional Meeting on April 22nd, 2018.

Slides for a talk given at the Joint Math Meetings, January 2018.

Slides from talk at 2016 Field's Institute Workshop.
Slides from Math Club talks at the University of Michigan
 February 14th, 2019.
 September 13th, 2018.
 February 15th, 2018.
 February 9th, 2017.
 October 6th, 2016.
Math Circle Handouts
Expository notes
 1. Collusions in Teichmüller expansions
arXiv preprint 1704.07940.
 2. Circulant qButson Hadamard matrices,
with Joe Kraisler. arXiv preprint 1701.08871.

Note on a simple algebraic method for solving a general family of differential equations.

Note giving a simple proof of the CantorBernstein theorem from the perspective of discrete dynamics.

Short note on fundamental facts about cyclotomic integers. Includes a nonstandard calculation of the discriminant.

Lecture notes from a talk given in the Student Representation Theory Seminar, Spring 2016.

Note solving the problem of which regular polytopes can be constructed with vertices having rational coordinates.

An exposition of Wan's theorem with generalizations.

Note on the number of polynomials over a finite field divisible by a nontrivial dth power, with a new proof extending an idea of Zieve in the case d = 2.