Lecture Notes



Extremal Combinatorics

Notes from a course lectured for Part III of the Mathematical Tripos by Dr I.B. Leader in the Michaelmas Term 2004: DVI (115k), PS (323k), PDF (229K).

Last Updated: 17th May 2006


Topics in Combinatorics

Notes from a course lectured for Part III of the Mathematical Tripos by Prof. W.T. Gowers, F.R.S. in the Lent Term 2004: DVI (172k), PS (444k), PDF (310k).

Course contents: random walks on graphs, quasirandom graphs, Szemerédi's regularity lemma, crossing numbers and combinatorial geometry, monotone circuit complexity, algebraic methods, topological methods.

Last Updated: 13th November 2004


Ramsey Theory

Notes from a course lectured for Part III of the Mathematical Tripos by Dr I.B. Leader in the Michaelmas Term 2000: DVI (106k), PS (311k), PDF (231k).

Course contents:

Last Updated: 8th December 2005


Groups, Rings and Fields

Notes on a few topics from this course, related to the current IB Groups, Rings and Modules course. These notes are based on lectures given by Dr J.M.E. Hyland in the Lent Term 1998.

For the structure of finitely generated modules over Euclidean domains, I recommend the relevant section of Peter Cameron's "Introduction to Algebra".

Last Updated: 24th March 2009


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