ANALYSIS OF OPERATORS, Michaelmas 2006

Provisional unedited notes from Part III lecture course ps
(at the moment the appendices have been removed)

Mock examination questions

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VON NEUMANN ALGEBRAS, Lent 2008

Proposed syllabus ps

A Part III course on von Neumann algebras from 1991 ps

Some books relevant to the course

Scanned notes for the current Part III lecture course : Chapter I  Chapter II
(at the moment the appendix on Property T has been removed)

Mock examination questions

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ANALYSIS OF OPERATORS, Lent 2009

Proposed syllabus dvi

Provisional unedited notes from Part III lecture course dvi
(non-examinable sections on the Selberg trace formula will be added in April)

Mock examination questions

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ATIYAH-SINGER INDEX THEOREM, Lent 2010
 
Proposed syllabus dvi

The course will more or less follow the Part III lecture notes from 1997 dvi pdf 

Lecture notes for Lent 2010 course dvi pdf
Mock examination questions for 2010

Mock examination questions from 1997
Part III examination from 1997

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KAC-MOODY AND VIRASORO ALGEBRAS, Lent 2011

Proposed syllabus dvi pdf

The course will be a simplified and expanded version of the Part III course given in 1998 dvi pdf,  with more emphasis on SU(2) and with new material on vertex algebras.

Lecture notes for Lent 2011 course: first part dvi pdf; second part dvi pdf; appendices dvi pdf
Mock examination questions for 2011

Mock examination questions from 1998
Part III examination from 1998