Cambridge Mathematics Lecture Notes

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.

Available Subjects

Currently, the notes for the following subjects are available.

Part IA

Michaelmas Term

• Differential Equations (2014, M. G. Worster)
• Groups (2014, J. Goedecke)
• Numbers and Sets (2014, A. G. Thomason)
• Vectors and Matrices (2014, N. Peake)

Lent Term

• Analysis I (2015, W. T. Gowers)
• Dynamics and Relativity (2015, G. I. Ogilvie)
• Probability (2015, R. R. Weber)
• Vector Calculus (2015, B. Allanach)

Part IB

Michaelmas Term

• 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)

Lent Term

• 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)

Easter Term

• Metric and Topological Spaces (2015, J. Rassmussen)
• Optimisation (2015, A. Fischer)
• Variational Principles (2015, P. K. Townsend)

Part II

Michaelmas Term

• 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)

Lent Term

• Logic and Set Theory (2015, I. B. Leader)
• Number Fields (2016, I. Grojnowski)
• Representation Theory (2016, S. Martin)
• Statistical Physics (2017, H. S. Reall)

Part III

Michaelmas Term

• 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)

Lent Term

• 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)

Easter Term

• Classical and Quantum Solitons (2017, N. S. Manton and D. Stuart)

Part IV

Michaelmas Term

• Topics in Geometric Group Theory (2017, H. Wilton)

Lent Term

• Topics in Number Theory (2018, A. J. Scholl)

Easter Term

• Bounded Cohomology (2017, M. Burger)