Graduate Teaching

Graduate courses lectured:

Restriction and Kakeya Phenomena 24 lectures, Michaelmas 2002. webpage
Prime Numbers 24 lectures, Michaelmas 2004. webpage
Additive Combinatorics MIT, Academic Year 2005-06. schedule
Additive Number Theory 24 lectures, Lent 2007. webpage
Ergodic Theory 24 lectures, Lent 2008. webpage
Additive Combinatorics 24 lectures, Lent 2009 (also taught at Harvard, Fall 2009). webpage
Analytic Topics in Group Theory 24 lectures, Lent 2011 webpage
Prime Numbers 24 lectures, Lent 2012 webpage

Here are the Part III essays I've set. In any given year I'm open to being talked into setting any one of these again, provided (i) it doesn't overlap too much with a course being lectured that year and (ii) no-one wrote the essay last year.

Applications of modular forms (2002-03)
Arithmetic progressions of length 3 (2002-03)
The multiplication table (2008-09)
Digits of primes (2008-09)
The Tits alternative (2008-09)
Szemeredi's theorem via ergodic theory (2010-11)
Adding prime numbers (2010-11)
Expansion in groups (2011-12)
Hilbert's fifth problem (2011-12)