Interests
My main interests in mathematics lie in number theory and arithmetic geometry, which studies arithmetic by applying insights from geometry and topology. More specifically, some topics that I especially want to understand are
- Cohomology theories in arithmetic geometry
- Rational points on varieties and algebraic stacks
- Enumerative geometry over arbitrary ground fields
- Galois representations, étale sheaves, and ramification theory
Outside my main interests, I would also love to learn more about representation theory, combinatorics, and mathematical logic. At heart, I am an algebraist, and I have general interests in all kinds of mathematics of an algebraic flavor. I am also interested math related to artificial intelligence and applications of artificial intelligence to mathematical research.
Publications
Coming soon.
Notes
I write and continue to update self-contained notes on various mathematical topics. Here are some that I have written.
- Linear Algebraic Groups and Representation Theory (coming soon)
- Algebraic Curves and Abelian Varieties (coming soon)
- Algebraic Number Theory (coming soon)