I am a second-year mathematics graduate student at the University of Washington in Seattle.
My research interests are in primarily algebraic 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.
I completed my undergraduate degree at Amherst College, where I conducted an honors thesis under the guidance of Ivan Contreras and Alejandro Morales proving the characteristic equation of the combinatorial Laplacian of a triangulated manifold enumerates homotopy equivalent submanifolds.
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.