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 Differential Geometry

• Symplectic Geometry Precis [pdf] (Intended for Qualifying Examination Preparation, UC Berkeley 2024)
• 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

• 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)

Random Things

• Note on Nonseparating 2-Spheres [pdf] (UC Berkeley)