I am an incoming mathematics graduate student to the University of Washington. Prior, I was an undergraduate student at Amherst College. I transferred to Amherst from Bristol Community College in Spring 2018.
My current research interests are in algebraic geometry and algebraic combinatorics.
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
Normality of toric rings and Rees algebras of pinched strongly stable ideals, with G. Sosa, C. Chandler, M. Liu, E. Mezinska, A. G. Moore, S. Sule, in preparation.
On discrete gradient vector fields and Laplacians of simplicial complexes, with I. Contreras, submitted. Preprint available at arXiv:2105.05388.
Quantum Jacobi forms and sums of tails identities, with A. Folsom, E. Pratt, N. Solomon, submitted.
Expository Articles
An introduction to geodesics: the shortest distance between two points. Preprint available at arXiv:2007.02864.
Past Projects
Honors Thesis: Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes (document, talk)
Advisors: Ivan Contreras (Amherst College), Alejandro Morales (UMass Amherst)
Summer 2020: Quantum Jacobi Forms and Sums of Tails Identities (talk, poster)
Advisor: Amanda Folsom (Amherst College)
Summer 2019: Graph Quantum Mechanics and Discrete Morse Theory (poster)
Advisor: Ivan Contreras (Amherst College)
Summer 2018: Normality of Toric Rings and Rees Algebras of Pinched Strongly Stable Ideals (poster)
Advisor: Gabriel Sosa (Colgate College)
Important Links:
You can find a repository of some basic code I've written on my GitHub.