Lie Groups, lecture notes from a class on Lie groups and Lie algebras, fall 2024 (ongoing) |
Symplectic Topology, lecture notes from a class on symplectic topology, fall 2023 (incomplete) |
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 |
Corks, (ongoing) expository notes on the cork theorem with a view towards current research, spring 2024 |
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 |
TeXRomancers, a (now defunct) project to typeset classic math textbooks that I contributed to and now maintain |