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)
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 (Colby College)
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
Joint Mathematics Meeting (JMM), Baltimore Convention Center, January 2019
Bi-annual Algebraic and Tropical Meetings of Brown and YaLE (BATMOBYLE), Amherst College, May 2019
New England REU Conference, University of Massachusetts Amherst, July 2019
- Talk: Graph Topology and Discrete Morse Theory
Women in Mathematics in New England (WIMIN) Conference, Smith College, September 2019
- Talk: Developments on Characterizing Equivalent Discrete Morse Functions on Graphs
Field of Dreams Conference, Washington University in St. Louis, November 2019
Undergraduate Mathematics Symposium, University of Illinois at Chicago, November 2019
- Talk: Enumeration of Forman Equivalence Classes
Joint Mathematics Meeting (JMM), Colorado Convention Center, January 2020
- Talk: Enumeration of Forman Equivalence Classes
- Talk: Quantum Jacobi Forms and Sums of Tails Identities
Women In Mathematics In New England (WIMIN) Conference*, Smith College, October 2020
- Talk: Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes
Fall Western AMS Meeting*, University of Utah, October 2020
- Talk: Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes
Math Graduate Programs Expo*, Texas State University, November 2020
- Talk: Enumeration of Forman Equivalence Classes
Undergraduate Mathematics Symposium*, University of Illinois at Chicago, November 2020
- Talk & Poster: Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes
- Talk: Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes
Field of Dreams Conference*, Purdue University, November 2020
NES/MAA Fall 2020 Meeting*, November 2020
- Talk: Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes
LGBTQ+ Math Day: A Celebration of LGBTQ+ Mathematicians*, Fields Institute, November 2020
The Virtual 10th Combinatorics Days*, Universidade de Coimbra, November 2020
- Serving on experiences panel discussing apply/conducting research as an undergraduate.
Joint Mathematics Meeting (JMM)*, January 2021
- Poster: Quantum Jacobi Forms and Sums of Tails Identities
Topological Insights in Neuroscience*, Mathematical Sciences Research Institute (MSRI), May 2021
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.