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*

- Talk:
Women in Mathematics in New England (WIMIN) Conference, Smith College, September 2019

- Talk:
*Developments on Characterizing Equivalent Discrete Morse Functions on Graphs*

- Talk:
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*

- Talk:
Joint Mathematics Meeting (JMM), Colorado Convention Center, January 2020

- Talk:
*Enumeration of Forman Equivalence Classes*

- Talk:
- Talk:
*Quantum Jacobi Forms and Sums of Tails Identities*

- Talk:
Women In Mathematics In New England (WIMIN) Conference*, Smith College, October 2020

- Talk:
*Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes*

- Talk:
Fall Western AMS Meeting*, University of Utah, October 2020

- Talk:
*Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes*

- Talk:
Math Graduate Programs Expo*, Texas State University, November 2020

- Talk:
*Enumeration of Forman Equivalence Classes*

- Talk:
Undergraduate Mathematics Symposium*, University of Illinois at Chicago, November 2020

- Talk & Poster:
*Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes*

- Talk & Poster:
- Talk:
*Enumeration of Discrete Gradient Vector Fields on Simplicial Complexes*

- Talk:
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*

- Talk:
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*

- Poster:
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.