| Vector bundles, Characteristic Classes and Principal Bundles, Notes from my 2024 Summer minicourse on characterstic classes and principal bundles (Work in progress) |
| Motivation for Lie algebras Notes from a talk I gave in a Lie theory reading seminar in the fall of 2023. |
| Symplectic Cohomology, Notes from my 2023 Summer minicourse on symplectic cohomology, a variant of Floer cohomology for a class of non-compact symplectic manifolds. |
| Classical and Quantum Reduction of the Hydrogen Atom, My 2022 Honors thesis, gives an introduction to symplectic geometry, symplectic reduction, and deformation quantization. Finishes with a calculation of a star structure on the reduced phase space of the hydrogen atom. |
| Supermanifolds and Superalgebra, Term paper for MATH 6230 at CU Boulder, spring of 2022, gives an introduction to the theory of super algebras and supermanifolds, with an algebrogeometric approach. |
| Fedosov Quantization, Term paper for MATH 6260 at CU Boulder, fall of 2021, goes through some of the details of the Fedosov star product on a symplectic manifold. |