I am a graduate student at the University of Washington in Seattle.
My research interests are in primarily algebraic/arithmetic geometry, especially in connection with differential geometry, combinatorics, and homotopy theory.
Currently, I am working on projects in Brill-Noether theory, tropical geometry, and discrete Morse theory.
I completed my undergraduate degree at Amherst College, where I conducted an honors thesis under the guidance of Ivan Contreras and Alejandro Morales, proving that the Laplacian of a triangulation of an orientable manifold keeps track of the number of simplicially homotopy equivalent complexes.
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.