I am a third-year mathematics graduate student at the University of Washington in Seattle.
My research interests are in primarily algebraic/arithmetic geometry, especially in connection with differential geometry, algebraic topology, and combinatorics.
Currently, I am working on projects within Brill-Noether theory, tropical geometry, and discrete Morse theory.
Papers and preprints:
On discrete gradient vector fields and Laplacians of simplicial complexes, joint with Ivan Contreras. Published in Annals of Combinatorics. 2022. (journal)
Quantum Jacobi forms and sums of tails identities, joint with Amanda Folsom, Lizzie Pratt, and Noah Solomon. Published in Research in Number Theory. 2021. (journal)
I am in charge of organizing the following weekly seminars.
Combinatorial Algebraic Geometry Seminar (co-organized with Cameron Wright)
Algebraic Geometry Reading Seminar (co-organized with Alex Wang)
Knot Number Theory Reading Seminar (co-organized with Alex Galarraga)
Teaching Assistant for ART 255/MATH 180: Making Meaning: Art and Mathematics as Embodied Practices
Teaching Assistant for MATH 442/443: Differential Geometry of Curves and Surfaces
Instructor for MATH 441: Topology
I firmly believe in Federico 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.