Notes

I have found it helpful to write up notes from courses, conferences, and for mathematics I am learning on my own. Some documents, especially class notes, are incomplete, as the LaTeX document is transcribed after the fact. Use at your own peril.

Graduate Course Notes

Notes for F4D1: Analysis and Geometry on Manifolds as taught by Prof. Laurent Côté at the University of Bonn in the 2024/25 Winter Semester.

Notes for V4A1: Algebraic Geometry I as taught by Prof. Daniel Huybrechts at the University of Bonn in the 2024/25 Winter Semester.

Notes for V5A2: The Habiro Ring of a Number Field as taught by Prof. Peter Scholze at the University of Bonn in the 2024/25 Winter Semester.

Notes for V5B1: Advanced Complex Analysis as taught by Prof. Ingo Lieb at the University of Bonn in the 2024/25 Winter Semester.

Undergraduate Course Notes

Notes for MATH 292Z: First Steps in Infinity Categories as taught by Prof. Michael Hopkins at Harvard University in Fall 2023.

A very short exposition about branched covers of topological surfaces, a final paper for MATH 4029: Advanced Collaborative Study (Algebraic Topology) supervised by Prof. Eric Ramos at Bowdoin College in Spring 2023.

A short paper about the 27 lines on a cubic surface, a final paper for MATH 4029: Advanced Collaborative Study (Algebraic Geometry) supervised by Prof. Eric Ramos at Bowdoin College in Fall 2022.

Notes for MATH 3204: Topology taught by Prof. Chandrika Sadanand at Bowdoin College in Fall 2022.

A paper about automatic groups, a final paper for MATH 3062: Advanced Topics in Group Theory taught by Prof. Jennifer Taback at Bowdoin College in Spring 2022.

A paper about invariant and equivariant neural networks, a final paper for MATH 2805: Mathematical Principles of Machine Learning taught by Prof. Thomas Pietraho at Bowdoin College in Spring 2022.

Notes for MATH 3602: Advanced Topics in Group Theory taught by Prof. Jennifer Taback at Bowdoin College in Spring 2022.

Notes for MATH 2805: Mathematical Principles of Machine Learning taught by Prof. Thomas Pietraho at Bowdoin College in Spring 2022.

Notes for MATH 2602: Group Theory taught by Prof. Jennifer Taback at Bowdoin College in Fall 2021.

Notes for MATH 2601: Combinatorics and Graph Theory taught by Prof. Eric Ramos at Bowdoin College in Fall 2021.

Notes for MATH GU 4045: Algebraic Curves taught by Prof. Akash Sengupta at Columbia University in Summer 2021.

Workshop and Short-Course Notes

Notes from the Workshop on Dualizable Categories and Continuous K-Theory - Max Planck Institute for Mathematics, Bonn on A. Efimov's recent work in continuous K-theory. Minicourses by A. Efimov and A. Matthew and talks by M. Ramzi, P. Scholze, and M. Yakerson.

Miscellaneous Expository Writing

Translation of a section of SGA VI, Appendice II

A Prismatic Primer