Miscellaneous
- Talk notes on Donaldson's 4-6 Question [pdf] (For SSSSS UC Berkeley 2025, referencing a talk by Amanda Hirschi at GITC 2025)
- Introductory Note on 3D Weinstein Conjecture [pdf] (GITC 2025, Dan Cristofaro-Gardiner)
- Introductory Note on Branched Covers [pdf] (GITC 2025, Tye Lidman)
- Note on Nonseparating 2-Spheres [pdf] (UC Berkeley)
- Discrete Mathematics Précis [pdf] (UC Berkeley)
Low Dimensional Topology
-
Knot Theory Lecture Notes [pdf] (Part III Lecture notes, University of Cambridge, Spring 2022)
- Knot Theory Precis [pdf] (Part III, University of Cambridge, Spring 2022)
-
Morse Homology Lecture Notes [pdf] (Based on Hutchings, UC Berkeley, Spring 2023)
Symplectic and Contact Topology
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Constructions in Symplectic and Contact Topology Notes [pdf]
(Compiled from a seminar I ran in Spring 2025)
-
Legendrian Knot Surgery Notes [pdf]
(Comparison of descriptions common in literature)
- Legendrian Differential Algebra and Contact Homology Notes [pdf]
Lie Theory
-
Finite Dimensional Lie And Associative Algebras Notes [pdf]
(Part III Lecture notes, University of Cambridge, Fall 2021)
-
Finite Dimensional Lie And Associative Algebras Precis [pdf]
(Part III, University of Cambridge, Fall 2021)
Assorted Graduate Notes
- Symplectic Geometry Precis [pdf] (Intended for Qualifying Examination Preparation, UC Berkeley 2024)
-
Differential Geometry [notes.pdf]
[precis.pdf]
(Part III Lecture notes, University of Cambridge, Spring 2022)
-
Complex Differential Geometry [notes.pdf] (Part III Lecture notes, University of Cambridge, Spring 2022)
- Coxeter Groups [notes.pdf]
[precis.pdf]
(Part III Lecture notes, University of Cambridge, Spring 2022)
- Algebraic Topology Precis [pdf](Part III Lecture notes, University of Cambridge, Fall 2021)
Assorted Undergraduate Notes
- Algebraic Geometry Precis [pdf] (University of Edinburgh, 2020-2021)
- Algebraic Topology Precis [pdf] (University of Edinburgh, 2020-2021)
- Geometry of General Relativity Precis [pdf] (University of Edinburgh, 2020-2021)
- Group Theory Precis [pdf] (University of Edinburgh, 2020-2021)
- Galois Theory Precis [pdf] (University of Edinburgh, 2020-2021)
- Linear Analysis Precis [pdf] (University of Edinburgh, 2020-2021)
- Honours Analysis Notes [pdf] (University of Edinburgh, 2019-2020)
- Honours Complex Analysis Precis [pdf] (University of Edinburgh, 2019-2020)
- Honours Linear Algebra Precis [pdf] (University of Edinburgh, 2019-2020)