These are the notes I took during lectures in Cambridge. These notes are also available (in compiled form) at https://dec41.user.srcf.net/. The notes on the website are generally more up to date with the latest corrections, as I only git commit and push when I feel like doing so. The usual disclaimers can also be found on the website.
Currently, the notes for the following subjects are available.
- Differential Equations (2014, M. G. Worster)
- Groups (2014, J. Goedecke)
- Numbers and Sets (2014, A. G. Thomason)
- Vectors and Matrices (2014, N. Peake)
- Analysis I (2015, W. T. Gowers)
- Dynamics and Relativity (2015, G. I. Ogilvie)
- Probability (2015, R. R. Weber)
- Vector Calculus (2015, B. Allanach)
- Analysis II (2015, N. Wickramasekera)
- Linear Algebra (2015, S. J. Wadsley)
- Markov Chains (2015, G. R. Grimmett)
- Methods (2015, D. B. Skinner)
- Quantum Mechanics (2015, J. M. Evans)
- Complex Analysis (2016, I. Smith)
- Complex Methods (2016, R. E. Hunt)
- Electromagnetism (2015, D. Tong)
- Fluid Dynamics (2016, P. F. Linden)
- Geometry (2016, A. G. Kovalev)
- Groups, Rings and Modules (2016, O. Randal-Williams)
- Numerical Analysis (2016, G. Moore)
- Statistics (2015, D. Spiegelhalter)
- Metric and Topological Spaces (2015, J. Rassmussen)
- Optimisation (2015, A. Fischer)
- Variational Principles (2015, P. K. Townsend)
- Algebraic Topology (2015, H. Wilton)
- Galois Theory (2015, C. Birkar)
- Integrable Systems (2016, A. Ashton)
- Linear Analysis (2015, J. W. Luk)
- Probability and Measure (2016, J. Miller)
- Logic and Set Theory (2015, I. B. Leader)
- Number Fields (2016, I. Grojnowski)
- Representation Theory (2016, S. Martin)
- Statistical Physics (2017, H. S. Reall)
- Advanced Probability (2017, M. Lis)
- Algebraic Topology (2016, O. Randal-Williams)
- Analysis of Partial Differential Equations (2017, C. Warnick)
- Combinatorics (2017, B. Bollobas)
- Differential Geometry (2016, J. A. Ross)
- Extremal Graph Theory (2017, A. G. Thomason)
- Hydrodynamic Stability (2017, C. P. Caulfield)
- Local Fields (2016, H. C. Johansson)
- Modern Statistical Methods (2017, R. D. Shah)
- Percolation and Random Walks on Graphs (2017, P. Sousi)
- Quantum Computation (2016, R. Jozsa)
- Quantum Field Theory (2016, B. Allanach)
- Symmetries, Fields and Particles (2016, N. Dorey)
- Advanced Quantum Field Theory (2017, D. B. Skinner)
- Algebras (2017, C. J. B. Brookes)
- Logic (2017, T. E. Forster)
- Modular Forms and L-functions (2017, A. J. Scholl)
- Positivity in Algebraic Geometry (2018, S. Svaldi)
- Ramsey Theory (2017, B. P. Narayanan)
- Riemannian Geometry (2017, A. G. Kovalev)
- Schramm–Loewner Evolutions (2018, J. Miller)
- Stochastic Calculus and Applications (2018, R. Bauerschmidt)
- Symplectic Geometry (2018, A. R. Pires)
- The Standard Model (2017, C. E. Thomas)
- Theoretical Physics of Soft Condensed Matter (2018, M. E. Cates)
- Classical and Quantum Solitons (2017, N. S. Manton and D. Stuart)
- Topics in Geometric Group Theory (2017, H. Wilton)
- Topics in Number Theory (2018, A. J. Scholl)
- Bounded Cohomology (2017, M. Burger)