planet gareth : maths : notes


Here is my collection of notes for Part II and Part III. Many are scans of the notes I wrote during my third and fourth years (1995-7). Some are more recent. The scanned courses are slightly large files (up to about 12MB). Some of the more recent courses are typed up in Latex; these are indicated by asterisks. (Please let me know of any mistakes in the typed-up notes.)


Part II

Algebraic Topology
* notes & questions * (P. T. Johnstone, Lent 2011)
[ notes ] [ handout ] [ questions ] (W. B. R. Lickorish, Michaelmas 1995)
Applications of Quantum Mechanics
[ notes ] [ questions ] (I. T. Drummond, Lent 1996)
Combinatorics
[ notes ] [ questions ] (I. B. Leader, Lent 1996)
Communication Theory
[ notes ] [ handout ] [ questions ] (Y. Suhov, Lent 1996)
Complex Algebraic Curves
[ notes ] [ handout ] [ questions ] (P. M. H. Wilson, Lent 1996)
Differentiable Manifolds
[ notes ] [ handout ] [ questions ] (G. Segal, Lent 1996)
Dynamical Systems and Non-linear Differential Equations
[ notes ] [ handout ] [ questions ] (C. Baesens, Lent 1996)
Foundations of Quantum Mechanics
[ notes ] [ questions ] (P. V. Landshoff, Michaelmas 1995)
Functional Analysis
[ notes (written by K. McGerty) ] (T. W. Körner, 1995)
Galois Theory
[ notes ] [ handout ] [ questions ] (N. I. Shepherd-Barron, Lent 1996)
Graph Theory
* notes & questions * (I. B. Leader, Michaelmas 2007)
Groups and Representation Theory
[ notes ] [ questions ] (J. Saxl, Lent 1996)
Linear Analysis
* notes & questions * (B. J. Green, Lent 2011; B. Schlein, Lent 2008)
Logic and Set Theory
[ notes (written by B. Couzens) ] [ questions ] (P. T. Johnstone, Lent 2014)
* notes & questions * (I. B. Leader, Lent 2005, 2010)
Methods of Mathematical Physics
[ notes ] [ handout ] [ questions ] (J. P. Dougherty, Michaelmas 1995)
Number Fields
* notes & questions * (T. Fisher, Lent 2012)
* notes & questions * (M. Strauch, Lent 2007)
[ notes ] [ questions ] (A. Baker, Michaelmas 1995)
Number Theory
* notes & questions * (V. Neale, Michaelmas 2011)
[ notes ] [ questions ] (J. Coates, 1996)
Partial Differential Equations
[ notes ] [ questions ] (N. Hitchin, Michaelmas 1995)
Probability and Measure
[ notes (written by B. Couzens) ] [ questions ] (J. Norris, Lent 2014)
Representation Theory
* notes & questions * (S. Martin, Lent 2009, 2010, 2011)
Rings and Modules
[ notes ] [ questions ] (R. G. E. Pinch, Lent 1996)

Part III

Algebraic Geometry
[ notes ] [ questions ] (A. Corti, Michaelmas 1996)
Algebraic Topology
[ notes ] [ written handout ] [ printed handout ] [ questions ] (G. Segal, Michaelmas 1996)
Analytic Number Theory
[ notes ] (A. Baker, Lent 1997)
Chevalley Groups
[ notes ] (M. P. F. du Sautoy, Lent 1997)
Combinatorics
* notes & questions * (I. B. Leader, Michaelmas 2008, 2010, 2012)
Commutative Algebra
[ notes ] [ questions ] (C. J. B. Brookes, Michaelmas 1996)
* notes * (C. J. B. Brookes, Michaelmas 2013)
Computational Number Theory
[ notes ] [ handout ] (R. G. E. Pinch, Lent 1997)
Cyclotomic Fields
[ notes ] (J. Coates, Lent 1997)
Dynamics of One-dimensional Maps
[ notes ] [ handout ] (C. Sparrow, Lent 1997)
Elliptic Curves
[ notes ] (N. I. Shepherd-Barron, Michaelmas 1996)
Extremal Graph Theory
* notes * (A. Thomason, Lent 2012)
Finite-dimensional Lie Algebras
[ notes ] [ handouts ] [ questions ] (J. Brundan, Lent 1997)
Hypergraph Games
* notes * (I. B. Leader, Easter 2008 -- non-examinable)
Knot Theory
[ notes (incomplete)] (W. B. R. Lickorish, 1995)
Local Fields
* notes * (T. A. Fisher, Michaelmas 2011)
[ notes ] (reading course, based on "Local Fields" by J. W. S. Cassels)
Modular Forms and Representation Theory
[ notes ] [ questions ] (R. E. Borcherds, Lent 1997)
Perturbation Methods
[ notes ] [ questions ] (P. Haynes, Michaelmas 1996)
Pro-p Groups
[ notes ] [ questions ] (R. Camina, Lent 2004)
Ramsey Theory
* notes & questions * (I. B. Leader, Michaelmas 2010)
Representation Theory
* notes & questions (typed by C. Newstead) * (S. Martin, Lent 2013)
Topics in Representation Theory
[ notes ] [ questions ] (J. E. Roseblade, Michaelmas 1996)
Topics in Infinite Groups
* notes * (J. Button, Lent 2014)
Topics in Set Theory
* notes & questions * (O. Kolman, Michaelmas 2012)
Waring's Problem
* notes * (V. R. Neale, Easter 2012 -- non-examinable)


© 2012 gareth taylor