I am a first year graduate student at the University of Washington in Seattle. My research interests are in algebraic geometry and combinatorics.

I completed my undergraduate degree at Amherst College, where I conducted an honors thesis under the guidance of Ivan Contreras and Alejandro Morales, proving that the Laplacian of a triangulation of an orientable manifold keeps track of the number of simplicialy homotopy equivalent complexes. I transferred to Amherst from Bristol Community College in Spring 2018.


I also really like combining art and mathematics. Here I am sculpting a Clebsch surface.


I firmly believe in Fredrico Ardila's axioms:

  • Axiom 1: Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.

  • Axiom 2: Everyone can have joyful, meaningful, and empowering mathematical experiences.

  • Axiom 3: Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.

  • Axiom 4: Every student deserves to be treated with dignity and respect.

Research

Papers

  1. On discrete gradient vector fields and Laplacians of simplicial complexes, with I. Contreras, submitted. Preprint available at arXiv:2105.05388.

  2. Quantum Jacobi forms and sums of tails identities, with A. Folsom, E. Pratt, N. Solomon, submitted to Research in Number Theory. Accepted for publication.

Expository Articles

  1. An introduction to geodesics: the shortest distance between two points. Preprint available at arXiv:2007.02864.

Past Projects


  • Summer 2020: Quantum Jacobi Forms and Sums of Tails Identities (talk, poster)


  • Summer 2019: Graph Quantum Mechanics and Discrete Morse Theory (poster)


  • Summer 2018: Normality of Toric Rings and Rees Algebras of Pinched Strongly Stable Ideals (poster)

You can find a repository of some basic code I've written on my GitHub.