Writing

Publications and Preprints

An Algorithm Generating the Folding Automaton of Train Tracks on the n-Marked Disk. In preparation.
Knot Floer homology, folding automata, and T (2,3)#T(2,3). In preparation.
Khovanov Homology, knot Floer homology, and the (2,7) Torus Knot. Download (this is an incomplete draft, but it’s close to being finished!).

Expository Writing

Kontsevich’s Formula for Rational Plane Curves, Gromov-Witten Invariants, and Quantum Cohomology. Semester paper I did in 2019 at ETH Zürich. Download

The Classical Theta Function and Riemann Zeta Function. Notes for a talk Jakob Glas and I gave in the modular forms seminar at ETH Zürich in the Spring of 2019. Download

Lecture Notes

Lagrangian Floer Homology, Boston College Spring 2023. Taught by Joshua E. Greene. (Last updated: 07 March 2023). Many figures missing. Download

Differential Geometry (called Topology/Geometry II at Boston College), Boston College Spring 2021. Taught by Ian Biringer. (Last updated: 01 Mar 2021). Missing a few pictures. Download.

Algebraic Number Theory, ETH Zürich Autumn 2019. Taught by Özlem Imamoglu. (last updated: 21 Jan 2020) Download

Commutative Algebra, ETH Zürich Autumn 2018. Taught by Paul Nelson. Download

Introduction to Lie Groups, ETH Zürich Autumn 2018. Taught by Marc Burger. Download