Lectures and Other Publications
Algebraic Geometry: Salt Lake City 2015
Hall algebras and Donaldson-Thomas invariants
Tom Bridgeland
Stability of algebraic varieties and Kähler geometry
Simon K. Donaldson
Boundedness of varieties of log general type
Christopher D. Hacon, James McKernan, and Chenyang Xu
Enumerative geometry and geometric representation theory
Andrei Okounkov
A calculus for the moduli space of curves
Rahul Pandharipande
The Cremona group
Serge Cantat
Some fundamental groups in arithmetic geometry
Hélène Esnault
Instrinsic mirror symmetry and punctured Gromov-Witten invariants
Mark Gross and Bernd Siebert
Print version available at the AMS bookstore
Clay Lecture Notes
PROMYS Europe 2015
Patterns in the Primes
James Maynard
Masterclasses 2014
These notes are included by kind permission of Alexander Ritter. They are based on lectures he gave for the masterclasses at Wadham College, Oxford, in August 2014, organised by Wadham College and the CMI-PROMYS Alliance. Their use is licensed by Alexander Ritter under Creative Commons Licence BY-NC-ND (Attribution-NonCommercial-NoDerivs).
Part 1: Lecture notes on Geometry and Topology (version: September 4, 2014)
Part 2: Lecture notes on Penrose tilings (version: September 8, 2014)
Senior Scholar Lectures
The Mathematics of Evolution
Bob Griffiths, Montreal, 2013
Physmatics
Eric Zaslow
Fields Institute, June 2005
Tilings
Federico Ardila and Richard Stanley
IAS/PCMI, July 2004
Tropical Mathematics
David Speyer and Bernd Sturmfels
IAS/PCMI, July 2004
Summer School 2012
The Resolution of Singular Algebraic Varieties
Summaries, notes, and worksheets from the 2012 Summer School
CRC 2007
The Work of Hacon and McKernan
Alessio Corti, CRC 2007
Public Lectures
Are there still unsolved problems about the numbers 1, 2, 3, 4, ... ?
Barry Mazur with figures by William Stein. MIT, May 3, 2005
Is there such a thing as infinity?
Timothy Gowers. Harvard University, March 2004
Research Academy Series
The Clay Research Academy has been suspended for the time being. The Clay Research Academy provided students of exceptional ability the opportunity to experience the challenge and thrill of mathematical research. Students were selected from an international field of applicants to work in close collaboration with leading mathematical researchers.
In addition to the research component of the program, the Academy opened its doors to the local mathematical community through a series of introductory lectures in topics of interest to current research. Guest lectures were given by distinguished mathematicians and physicists from around the world. A list of previous lectures and notes are available from the following links.
Research Award Lectures
Primes: Past, Present, and Future
Ben Green
Harvard University, Nov 5, 2004
The Fundamental Lemma for Unitary Groups
Gérard Laumon and Bao-Chaû Ngô
Harvard University, Nov 5, 2004