I am a second-year grad student at Harvard, studying number theory. My advisor is Mark Kisin.

**email:** smarks [at] math [dot] harvard [dot] edu

- Derivatives of
*p*-adic Siegel Eisenstein series and*p*-adic degrees of arithmetic cycles (undergraduate thesis). -
*p*-adic properties of Hauptmoduln with applications to Moonshine (with Ryan Chen and Matthew Tyler): SIGMA**15**(2019).

- Algebra I: Theory of groups and vector spaces (MATH 122, fall 2020).
- Modular forms tutorial (summer 2020).

Here are some expository notes some may find useful.

- The action of Frobenius and rationality of zeta, given at STAGE in fall 2020.
- p-adic modular forms à la Serre, given at STAGE in spring 2020.