I would like to thank everyone who has helped the perfection of these notes by way of correcting and giving feedbacks.
If you think any of these notes can be improved in some direction, or have spotted any mistakes or typos, you are most welcome to let me know.
**All materials listed here are actively maintained.**

For obvious reasons, notes that were taken more recently are usually better written.

TeX codes of the documents are available upon request.

Differential Equations by Dr. J. R. Taylor (Michaelmas 2019)

Groups by Dr. O. Randal-Williams (Michaelmas 2019)

Numbers and Sets by Prof. I. B. Leader (Michaelmas 2019)

Vectors and Matrices by Dr. J. M. Evans (Michaelmas 2019)

Analysis I by Prof. J. Rassmussen (Lent 2020)

Dynamics and Relativity by Prof. P. H. Haynes (Lent 2020)

Probability by Dr. P. Sousi (Lent 2020)

Vector Calculus by Dr. A. Ashton (Lent 2020)

Analysis and Topology by Dr. A. Zsák (Michaelmas 2019)

Linear Algebra by Prof. P. Raphael (Michaelmas 2020)

Markov Chains by Dr. R. Bauerschmidt (Michaelmas 2020)

Methods by Prof. E. P. S. Shellard (Michaelmas 2020)

Quantum Mechanics by Dr. M. Ubiali (Michaelmas 2020)

Complex Analysis by Prof. N. Wickramasekera (Lent 2020)

Complex Methods by Dr. U. Sperhake (Lent 2021)

Geometry by Prof. I. Smith (Lent 2021)

Groups, Rings and Modules by Dr. T. A. Fisher (Lent 2020)

Numerical Analysis by Prof. C. B. Schönlieb (Lent 2021)

Statistics by Dr. S. Bacallado (Lent 2021)

Optimisation by Dr. M. R. Tehranchi (Easter 2020)

Variational Principles by Dr. M. Dunajski (Easter 2020)

Algebraic Topology by Prof. M. Gross (Michaelmas 2020)

Galois Theory by Prof. I. Grojnowski (Michaelmas 2021)

Linear Analysis by Prof. C. Mouhot (Michaelmas 2021)

Number Theory by Dr. J. Wolf (Michaelmas 2020)

Probability and Measure by Prof. R. Nickl (Michaelmas 2020)

Representation Theory by Dr. S. Wadsley (Michaelmas 2021)

Riemann Surfaces by Dr. H. Wilton (Michaelmas 2020)

Stochastic Financial Models by Dr. M. Tehranchi (Michaelmas 2021)

The following notes are taken by Nicky Wong

Galois Theory by Prof. I. Grojnowski (Michaelmas 2020)

Linear Analysis by Prof. C. Mouhot (Michaelmas 2020)

Algebraic Geometry by Dr. D. Ranganathan (Lent 2021)

Differential Geometry by Dr. A. Keating (Lent 2021)

Quantum Information and Computation by Prof. R. Jozsa (Lent 2021)

Number Fields by Prof. A. Scholl (Lent 2022)

Analysis of Functions by Dr. C. Warnick (Lent 2022)

The following notes are taken by Nicky Wong

Number Fields by Prof. A. J. Scholl (Lent 2021)

Algebraic Geometry by Dr. D. Ranganathan (Michaelmas 2022)

Algebraic Topology by Prof. J. Rasmussen (Michaelmas 2022)

Commutative Algebra by Dr. O. Becker (Michaelmas 2022)

Differential Geometry by Dr. J. Smith (Michaelmas 2022)

Local Fields by Dr. R. Zhou (Michaelmas 2022)

Modular Forms by Prof. J. Thorne (Michaelmas 2022)

Introduction to Modular Representation Theory by Prof. S. Martin (Michaelmas 2022)

The following notes are taken by Artie

Category Theory by Prof. P. T. Johnstone (Michaelmas 2022)

Commutative Algebra by Dr. O. Becker (Michaelmas 2022)

Local Fields by Dr. R. Zhou (Michaelmas 2022)

Logic and Computability by Dr. J. V. Siqueira (Michaelmas 2022)

Abelian Varieties by Prof. A. J. Scholl (Lent 2023)

Algebraic Number Theory by Dr. H. Wiersema (Lent 2023)

Complex Manifolds by Dr. A. Kovalev (Lent 2023)

[You heard I have Lie algebra notes? Lies.]

Group Cohomology by Dr. C. J. B. Brookes (Lent 2023)

Characteristic Classes and K-Theory by Prof. O. Randal-Williams (Lent 2023) [Currently in maintenance. Official notes are here]

Toric Geometry by Dr. T. Gräfnitz (Lent 2023)

Modular Forms by Prof. J. A. Thorne (Lent 2021)

Elliptic Curves by Dr. T. Fisher (Lent 2022)

Topics in Algebraic Groups by Prof. A. Scholl (Lent 2022)

Introduction to Geometric Representation Theory by Prof. I. Grojnowski (Lent 2022) (my best set of notes so far!)

The following notes taken by Nicky Wong

Modular Forms by Prof. J. A. Thorne (Lent 2022)