| Differential Topology, lecture notes from the differential topology prelim class, spring 2023 |
| Algebraic Number Theory and Arakelov Theory, lecture notes from a full year sequence in number theory at Berkeley, 2021 |
| Exotic 7-Spheres, expository notes on Milnor's construction of exotic 7-spheres, spring 2023 |
| Kronecker's Jugendtraum, term paper for math 254A at Berkeley introducing the theory of complex multiplication and its main theorems, fall 2020 |
| Enumerative Geometry via the Chow Ring, term paper for math 256B at Berkeley introducing the Chow ring and its combinatorial properties, spring 2020 |
| The Group Structure of Elliptic Curves, term paper for math 256A at Berkeley relating the geometric group structure on an elliptic curve to its Picard group, fall 2019 |
| Quantum Cohomology and Counting Curves, a self-contained exposition of the recursive formula for the number of degree d rational plane curves through 3d - 1 points in general position, spring 2021 |
| Notes Template, my template for live-TeXing lectures and writing expository notes |