Writing

Publications and Preprints

Hodge-Gromov-Witten Theory of Elliptic Curves. Master’s thesis. (last updated: 21 Feb 2020) Download

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

Long March Towards a Thesis: A journey to understand Moduli of Curves and Gromov-Witten Theory. Notes I wrote for myself while learning the pre-requisites to my Master’s thesis topic. Embarrassingly incomplete. 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

Intersection Theory. Notes I wrote for myself while reading William Fulton’s book. It is nowhere near finished, and I am not sure if I will ever finish it. Download

Lecture Notes (many are incomplete)

Hyperbolic 3-Manifolds, Boston College Fall 2021. Taught by Ian Biringer.

Representation Theory. Boston College Fall 2021. Taught by David Treumann.

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.

Topics in Symplectic Topology, ETH Zürich Spring 2020. Taught by Paul Biran. (last updated: 09 Mar 2020). Be advised, there may be gaps here and there in these notes as this is an ongoing course I am attending this semester and the notes here were taken in class; although I will try to revise it once in awhile. Any assistance in corrections and revisions is appreciated. 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

To appear: Algebraic Geometry, ETH Zürich Spring 2019. Taught by Emmanuel Kowalski.