Notes and Writings
A Few Texed Talk Notes
These notes are mostly live-texed from professors' seminar talks/short courses.(Somewhat) Old Lecture Notes
These course notes were taken over an extended period of time, during which my live-TeX skills significantly improved. However, these notes may contain substantial factual or typographical errors, so please use them with caution.| At UCLA | |||
|---|---|---|---|
| Course | Term | Instructor | Textbook |
| Honors Analysis (131AH/BH) | Winter & Spring 2021 | Monica Vișan | Rudin, Principles of Mathematical Analysis. |
| Category Theory (191) | Spring 2021 | Jonathan Rubin | Riehl, Category Theory in Context. |
| Algebraic Number Theory (205A) | Fall 2022 | Romyar Sharifi | Lecture Notes |
| Graduate Algebra (210A/B/C) | Fall 2021, Winter & Spring 2023 | Alexander Merkurjev | Lang, Algebra. |
| Homological Algebra (212A) | Winter 2022 | Paul Balmer | N/A |
| Tensor Triangulated Geometry (212B) | Winter 2023 | ||
| Commutative Algebra (215A) | Fall 2022 | Chengxi Wang | Atiyah & Macdonald, Intro to Commutative Algebra. |
| Algebraic Geometry, Part I (214A) | Winter 2023 | Burt Totaro | Hartshorne, Algebraic Geometry. |
| Algebraic Geometry, Part II (214B) | Spring 2023 | Joaquín Moraga | |
| Algebraic Topology (225C) | Spring 2023 | Sucharit Sarkar | Hatcher, Algebraic Topology. |
| Lie Theory (229A) | Spring 2023 | Raphaël Rouquier | N/A |
| At UIUC | |||
| Course | Term | Instructor | Textbook |
| Commutative Algebra (502) | Fall 2023 | Sankar Dutta | Serre, Local Algebra. |
| Complex Algebraic Geometry (514) | Fall 2024 | Sheldon Katz | Griffiths & Harris, Principles of Algebraic Geometry. |
| Differentiable Manifolds, Part I (518) | Fall 2023 | Eugene Lerman | Lee, Intro to Smooth Manifolds. |
| Differentiable Manifolds, Part II (519) | Spring 2025 | Rui Loja Fernandes | Lee, Intro to Riemannian Manifolds. |
| Algebraic Topology, Part II (526) | Fall 2023 | Vesna Stojanoska | Hatcher, Algebraic Topology. |
| Real Analysis (540) | Spring 2024 | Xiaochun Li | Folland, Real Analysis. |
| Harmonic Analysis (545) | Fall 2024 | N/A | |
| Group Cohomology (595) | Fall 2023 | Vesna Stojanoska | N/A |
| Other Courses | |||
| Course | Term | Instructor | Textbook |
| Motivic Cohomology (BIMSA) | Spring 2024 | Nanjun Yang | N/A |
| Steenrod Operations (BIMSA) | Fall 2024 | ||