#### Down the Rabbit Hole: An introduction to p-adic numbers

Slides for a talk given in the University of Michigan Math Club on February 15th, 2018.#### Asymptotic stability of polynomial statistics and representation stability

Handout for a talk given in the Representation Stability Seminar at the University of Michigan on February 1st, 2018.#### An arithmetic dynamical Mordell-Lang theorem

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

Note on a simple algebraic method for solving a general family of differential equations.#### Combinatorial species and generating functions

Slides for a talk given in the University of Michigan Math Club on February 9th, 2017.#### How does a parabola look on the horizon?

Slides for a talk given in the University Michigan Math Club on October 6th, 2016.#### A dynamical proof of the Cantor-Bernstein theorem

Note giving a simple proof of the Cantor-Bernstein theorem from the perspective of discrete dynamics.#### Reduction stability and iterate decomposition stability

Slides from talk at 2016 Field's Institute Workshop.#### Cyclotomic Integers

Short note on fundamental facts about cyclotomic integers. Includes a non-standard calculation of the discriminant.#### FI-modules and representation stability

Lecture notes from a talk given in the Student Representation Theory Seminar, Spring 2016.#### Realizing regular polytopes over

Note solving the problem of which regular polytopes can be constructed with vertices having rational coordinates.**Q**#### Wan's Theorem

An exposition of Wan's theorem with generalizations.#### Power-full polynomials over finite fields

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

Last updated: 2.1.18