**I am interested in algebraic number theory and arithmetic geometry.**

This is a paper classifying two infinite families of monogenic S4 Quartic fields.

Two families of Monogenic S4 Quartic Number Fields

Below is a paper I wrote with Alden Gassert and Katherine Stange.

A Family of Monogenic Quartic Fields Arising from Elliptic Curves

Here are my slides from a presentation about this work.

Here is a paper I helped with while at an REU at Grand Valley State University. William Dickinson was our project advisor.

Optimal Packings of Two to Four Equal Circles on any Flat Torus

Some math related website I like:

Keith Conrad's Expository Papers

Andrew Snowden's Course on Mazur's Theorem

David Mumford's Algebraic Geometry Work

J.S. Milne's Course Notes

Katherine Stange's Website

Terry Tao's Blog

**L**-functions and

**M**odular

**F**orms

**D**ata

**B**ase

Kiran Kedlaya's Conferences Page