About
I am a math senior at MIT. My main interests are algebraic geometry, arithmetic geometry, and topology. My advisor is Haynes Miller.
Research papers
- arXiv:2411.17055: The spherical Hall algebra of $\overline{\mathrm{Spec}(\mathcal{O}_K)}$, with Benjamin Li
Undergraduate projects
Olympiad handouts
- Central American Mathematical Olympiad 2024 (in Spanish), with Jorge Liu
- Circle geometry for the Panamanian Mathematical Olympiad (in Spanish)
- Panamanian Mathematical Olympiad Shortlist 2021 (in Spanish)
- Spiral similarity and miscelaneous geometry problems (in Spanish)
- Training material for the Panamanian Mathematical Olympiad (in Spanish)
- Algebraic manipulations (in Spanish)
- Central American Mathematical Olympiad 2017 (in Spanish)
Contact
My email is modes@mit.edu.