# Simons Lecture Series

The Department of Mathematics annually presents the Simons Lecture Series to celebrate the most exciting mathematical work by the very best mathematicians of our time. The format of this lecture series has evolved since its inception in 1999, and now includes two weeks of lecturesâ€” one in pure mathematics and the other in applied mathematicsâ€” given each spring.

We are grateful to our good friend Jim Simons for providing the financial backing of these lectures.

# 2019 Lectures

April 24, 25, 26, 2019: Alexander Barvinok

Department of Mathematics, University of Michigan

Research interests: computational complexity and algorithms in algebra, geometry, and combinatorics

**Combinatorics, complexity and complex zeros of partition functions**

*Lecture 1:*Wednesday, April 24, 2019

How (and why) we compute really big polynomials

**Lecture Video**

*Lecture 2:*Thursday, April 25, 2019

More examples from combinatorics and statistical physics

**Lecture Video**

*Lecture 3:*Friday, April 26, 2019

Computational complexity and physics: diverging paths?

**Lecture Video**

April 29, 30, May 1, 2019: June Huh

Institute for Advanced Study and Princeton University

Research interests: geometry, topology, and combinatorics of algebraic varieties

**Lorentzian polynomials**

*Lecture 1:*Monday, April 29, 2019

The space of Lorentzian polynomials

**Lecture Video**

*Lecture 2:*Tuesday, April 30, 2019

Discrete convexity and continuous convexity: a tropical connection

**Lecture Video**

*Lecture 3:*Wednesday, May 1, 2019

Hodge-Riemann relations for Potts model partition functions and other examples

**Lecture Video**

# Simons Lectures Over the Years

** 2019:** June Huh, Alexander Barvinok

** 2018:** Stephen Boyd, Sylvia Serfaty

** 2017:** Yuval Peres, Martin Hairer

** 2016:** Michael P. Brenner

** 2015:** Leslie Greengard, Laure Saint-Raymond

** 2014:** Daniel Spielman, Ben Green

** 2013:** Emmanuel Candès, Raphaël Rouquier

** 2012:** Alexander Lubotzky, László Lovász

** 2011:** Steven Strogatz, Manjul Bhargava

** 2010:** Peter Winkler, Andrei Okounkov

** 2009:** Étienne Ghys, Robert Shapire

** 2008:** Peter Teichner, John Conway

** 2007:** Terry Tao, David Donoho

** 2006:** Akshay Venkatesh, Yves Couder

** 2005:** Noga Alon, Nigel Hitchin

** 2004:** Wendelin Werner

** 2003:** Grigory Perelman

** 2002:** Robert MacPherson

** 2001 Fall:** Peter Shor

** 2001 Spring:** Laurent Lafforgue