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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)