About Me

I will be doing a MSc in mathematics at Universität Bonn starting in October 2025. I was an undergraduate student at the University of Cambridge from 2022 to 2025. Sometimes I ask/answer questions on Math Stackexchange.

Cambridge Course Notes & Revision Documents

Here you can find my revision documents for some part IB courses and lecture notes for some part II/III courses. The source files can be found on GitHub.

Part IB Revision Documents

The source files can be found here on GitHub.

• Analysis and Topology (Lecturer: Dr. P. Russell)
• Complex Analysis (Lecturer: Prof. H. Krieger)
• Geometry (Lecturer: Dr. J. Smith)
• Groups Rings and Modules (Lecturer: Prof. O. Randal-Williams)
• Linear Algebra (Lecturer: Dr. J. Sahasrabudhe)
• Variational Principles (Lecturer: Prof. M. Dunajski)

Part II Course Notes

The source files can be found here on GitHub. I will update this section later.

Michaelmas 2024

• Algebraic Topology (Lecturer: Prof. A. Keating)
• Galois Theory (Lecturer: Prof. T. Fisher)
• Linear Analysis (Lecturer: Prof. I. B. Leader)
• Probability and Measure (Lecturer: Prof. P. Raphael)
• Representation Theory (Lecturer: Prof. I. Grojnowski)

Lent 2025

• Algebraic Geometry (Lecturer: Prof. H. Krieger)
• Analysis of Functions (Lecturer: Prof. R. Nickl)
• Differential Geometry (Lecturer: Prof. C. Mouhot)
• Number Fields (Lecturer: Prof. P. Varju)
• Riemann Surfaces (Lecturer: Dr. J. Button)
• Topics in Analysis (Lecturer: Dr. A. Kovalev)

Part III Course Notes

I did not (and will not) do part III math, but I took some courses during my third year.

• Algebraic Topology (Michaelmas 2024, Lecturer: Dr. J. Steinebrunner)
• Simplicial Homotopy Theory (Lent 2025, Lecturer: Prof. J. Hahn)