I am broadly interested in symplectic geometry/topology. Specifically, I think about in Morse theory with a view towards Floer theory. I am curious about obstruction bundle gluing, pseudo-holomorphic curves, Lagrangian Floer homology, and contact homology.
I am helping organize the Student Symplectic Geometry Seminar at UMN. We meet as a group of graduate students interested in symplectic topology (or broadly geometry/topology) each week to learn from one another. More info about that can be found here!
Note: This is not to be confused with the Differential geometry and symplectic topology seminar at UMN, which is a virtual seminar that I also regularly attend.
For a well-kept list of conferences in Topology/Geometry: check out Bahar Acu's website!
■ Recent Developments in Equivariant Morse Homology, Association for Women in Mathematics University of Wisconsin-Madison, May 17, 2025. (poster)
■ Challenges in Equivariant Morse Homology, Student Algebra and Topology Seminar, University of Minnesota, Spring 2025
■ Recent Developments in Equivariant Morse Homology, JMM Special EDGE Session, Jan 8, 2025 (slides)
■ h-principle, obstruction bundle gluing, and Recent Developments in Equivariant Morse Homology (slides), Student Symplectic Geometry Seminar, Fall 2024. (talks)
■ Morse Homology, Informal Student Symplectic Geometry Seminar, November 15, 2023. (virtual talk)
■ An Introduction to k-Typed Parking Functions!, UMN Student Combinatorics and Algebra Seminar, December 1, 2022. (talk)
■ An Exploration To Determine Polynomials For Specific Finite Groups
Arithmetic and Topology over Global Fields Workshop, University of Wisconsin-Madison, October 7-9, 2022. (Poster)
■ An Exploration To Determine Polynomials For Specific Finite Groups
BRIDGES Conference, University of Utah, June 7-10, 2022. (Poster)
■ Enumerating k-Typed Parking Functions and Their Properties
UW-Madison Math Club, April 22, 2022.
■ Enumerating k-Typed Parking Functions and Their Properties (with Aalliyah Celestine and Jacob van der Leeuw)
JMM MSRI Special Session: MSRI Undergraduate Program, (Invited) April 8, 2022, (Slides)
■ k-Typed Parking Functions
SUMS 2022 Math and Puzzles Conference, Brown University, March 19, 2022, (Slides)
■ Counting 2-Typed Parking Functions
SACNAS National Diversity in STEM Conference, Oct 25-29, 2021, (Poster)
■ Counting 2-Typed Parking Functions
2021 Baylor McNair Research Conference, Aug 19, 2021, (Slides)
■ Counting 2-Typed Parking Functions
2021 UW-Madison McNair Summer Research Experience Symposium, Aug 6, 2021, (Slides)
■ k-Type Parking Functions (with Aalliyah Celestine and Jacob van der Leeuw)
2021 MSRI-UP REU Presentations, June 23, 2021, (Recording) (Slides)
2. Equivariant Morse Homology for Reflection Actions via Broken Trajectories (with E. Bao and T. Lawson), preprint, (2024)
1. Exact k-Typed Parking Functions (with A. Celestine, P. E. Harris, J. van der Leeuw) , in preparation
2025 Kylerec - Wrapped Fukaya Categories, Pottsville, PA
2025 Georgia International Topology Conference, Athens, GA
2025 AWM Sectional, Madison, WI (presenting)
2025 JMM, Seattle, WA (presenting)
2024 Yamabe Symposium on Symplectic and Contact Geometry, University of Minnesota
2024 Rutgers Symplectic Summer School, New Brunswick, NJ
2024 h-Principle Summer School sponsored by RiKEN iTHEMS + SLMath, Sendai, Japan
2024 JMM, San Fransisco, CA (in-person)
2023 JMM, Boston, MA (in-person)
2022 Arithmetic and Topology over Global Fields Workshop, University of Wisconsin-Madison (in-person, presented)
2022 BRIDGES Conference, University of Utah (in-person, presented)
2022 Undergraduate Research Symposium, University of Wisconsin--Madison (virtual, presented)
2022 SUMS Math and Puzzles Conference (virtual, presented)
2021 Baylor McNair Research Conference (virtual, presented)
2021 SIAM Conference on Applied Algebraic Geometry (AG21) (virtual, attended)
2021 University of Wisconsin–Madison McNair Summer Research Experience Symposium (virtual, presented)
2021 Mathematical Sciences Research Institute–Undergraduate Program Presentation (virtual, presented)
2019 Undergraduate Symposium, University of Wisconsin–Madison, Madison, WI (presented)
People Over Math: A Co-created Principle for Successful Research Communities. Faculty authors: Rebecca Garcia, Pamela E. Harris, and Dwight Anderson Williams II, Graduate student authors: J. Carlos Martínez Mori and Casandra Monroe, Undergraduate student authors: Tomás Aguilar-Fraga, Yasmin Aguillon, Daniel Alofamoni Quiñonez, Dylan Alvarenga, Aalliyah Celestine, Parneet Gill, Imhotep Hogan, Jakeyl Johnson, Kobe Lawson-Chavanu, Lina Liu, Aaron Ortiz, Lauren Quesada, Cynthia Marie Rivera Sánchez, Christopher Soto, Camelle Tieu, Dirk Tolson III, Jacob van der Leeuw, and Pamela Vargas. MAA Focus. June/July 2022.
Undergraduate Thesis: An Exploration To Determine Polynomials For Specific Finite Groups.
Mentor: Jose I. Rodriguez
Students Speak: How Making Math Friends help make a Competitive Environment Collaborative. MAA MATH VALUES. July 2022 and in a high school textbook titled Engage in March 2024.