I am a third-year mathematics PhD student at the University of Washington.
I am Coptic Egyptian and use they/them pronouns.
My research interests are primarily in geometry, topology, and combinatorics, as well as applications of these areas to neuroscience, physics, and chemistry.
I'm currently working on projects relating to Brill-Noether theory, tropical geometry, and discrete Morse theory.
Papers and preprints:
A tropical framework for using Porteous' formula, in progress.
On discrete gradient vector fields and Laplacians of simplicial complexes, joint with Ivan Contreras. Published in Annals of Combinatorics. 2022.
I occasionally enjoy organizing weekly seminars.
I have been the instructor for the following courses:
I have been the teaching assistant for the following courses:
MATH 125: Calculus with Analytic Geometry II
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.