About
I am a math PhD student at the University of Pennsylvania. My main interests are arithmetic geometry, algebraic geometry, and number theory. My advisor is Andres Fernandez Herrero.
Research papers
- The spherical Hall algebra of $\overline{\mathrm{Spec}(O_K)}$, with Benjamin Li and Haoshuo Fu.
Undergraduate projects
- From Heegard splittings to the Heegard Floer homology
- Some exceptions to the local-global principle
- Sums of cubes, with Julianne Flusche and Daniel Santiago.
- Happy Sequences, with Julianne Flusche and Daniel Santiago.
Olympiad handouts
- Training material for the Panamanian Mathematical Olympiad (in Spanish)
- Circle geometry for the Panamanian Mathematical Olympiad (in Spanish)
- Panamanian Mathematical Olympiad Shortlist 2021 (in Spanish)
- Central American Mathematical Olympiad 2024 (in Spanish)
Contact
My email is lmodes@sas.upenn.edu.