I begin as a mathematics Ph.D. student at the University of Washington this Fall. Prior, I was an undergraduate student at Amherst College. I transferred to Amherst from Bristol Community College in Spring 2018.

I am currently on a hiatus this Spring 2021 semester.


Research

My current research interests are broadly in the areas of algebra, algebraic geometry, algebraic topology, combinatorics and number theory.

Papers:

  • On discrete gradient vector fields and Laplacians of simplicial complexes, with I. Contreras, in preparation.

  • Quantum Jacobi forms and sums of tails identities, with A. Folsom, E. Pratt, N. Solomon, submitted.


Past projects:

  • Honors Thesis: Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes (document, talk)

  • 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)

My first semester at Bristol Community College (Fall 2016) I also wrote an introduction to geodesics as an honors project for my multivariable calculus course under the guidance of Professor Zachary Wolfson.

Recent and upcoming activities

* Held virtually.

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.