# 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