Virginia Mathematics Lectures

In 2014, the IMS established the Distinguished Lecture Series "Virginia Mathematics Lectures." The inaugural speaker was Professor Alex Lubotzky from the Hebrew University of Jerusalem. Each semester thereafter brought us another speaker in the series. These lecture series were enthusiastically met by the audience which included undergraduate and graduate students, faculty members and guests from other departments and institutions. Given the success of the lectures, the IMS will continue to organize two such series every year.

Upcoming and past lectures


Alan Reid - Virginia Mathematics Lectures - October 28-30, 2024

Event start date: Monday, October 28, 2024
Alan Reid
Alan Reid (Rice University)

Finite shadows of infinite groups: What do they hide?

  • Lecture 1: Monday, October 28, 2024, 5-6PM, Wilson 402 - Exploring infinite groups by finite quotients
  • Lecture 2: Tuesday, October 29, 2024, 5-6PM, Wilson 402 - What is profinite rigidity?
  • Lecture 3: Wednesday, October 30, 2024, 5-6PM, Wilson 402 - Grothendieck’s Problem and detecting finitely generated versus finitely presented

Abstracts »


Kavita Ramanan - Virginia Mathematics Lectures - November 13-15, 2023

Event start date: Monday, November 13, 2023
Kavita Ramanan poster
Kavita Ramanan (Brown University) - Tales of high-dimensional distributions

Though they have a common thread, the three lectures will be self-contained, and can mostly be followed independently of each other.

  • Lecture 1: November 13 | 5-6pm | Wilson 402
  • Lecture 2: November 14 | 5-6pm | Nau 101
  • Lecture 3: November 15 | 5-6pm | Wilson 402

Abstracts »


Martin Hairer - Virginia Mathematics Lectures - November 29 - December 1, 2022

Event start date: Tuesday, November 29, 2022
Martin Hairer
Martin Hairer (Imperial College London)

Abstracts »


Mikhail Khovanov - Virginia Mathematics Lectures - April 18-20, 2022

Event start date: Monday, April 18, 2022
Mikhail Khovanov
Mikhail Khovanov (Columbia)
  • Lecture 1 - “Universal construction and TQFTs: from Frobenius algebras to finite state automata”. Monday, April 18, 5:00-6:00pm, Nau 101. Notes
  • Lecture 2 - “Homological algebra of link homology: categorification of the Jones polynomial and the Kuperberg bracket”. Tuesday, April 19, 5:00-6:00pm, Nau 101. Notes
  • Lecture 3 - “Foams, categorification of Reshetikhin-Turaev link invariants: GL(N) link homology and the 4-color theorem”. Wednesday, April 20, 5:00-6:00pm, Ridley G006. Notes

The lectures will be in-person, and they will be preceded by the Workshop on Categorical Methods in Representation Theory and Quantum Topology.

Abstracts »


Curtis McMullen - Virginia Mathematics Lectures - November 8-10, 2021

Event start date: Monday, November 8, 2021
Curtis McMullen Poster
Curtis McMullen (Harvard)
  • Lecture 1 - “Solving the quintic by iteration”. Monday, November 8, 2021, 5:00-6:00pm, Nau 101.
  • Lecture 2 - “Billiards and moduli spaces”. Tuesday, November 9, 2021, 5:00-6:00pm, Clark 108
  • Lecture 3 - “Rigidity for planes in flexible 3-manifolds”. Wednesday, November 10, 5:00-6:00pm, Clark 108

The lectures are preceded by the Virginia Topology Conference.

View details »


Greg Lawler - Virginia Mathematics Lectures - February 12-14, 2020

Event start date: Wednesday, February 12, 2020
Greg Lawler
Greg Lawler (University of Chicago)
  • Lecture 1 - “Random walks: Simple and Self-avoiding”. Wednesday, February 12, 2020. 5:15-6:15pm, Nau 101
  • Lecture 2 - “Conformal Invariance and the Two-Dimensional Critical Phenomenon”. Thursday, February 13, 2020. 5-6pm, Monroe 124
  • Lecture 3 - “Loop Measures and the Loop-Erased Random Walk”. Friday, February 14, 2020. 4-5pm, Monroe 124

Lectures and abstracts »


Peter Sarnak - Virginia Mathematics Lectures - November 4-6, 2019

Event start date: Monday, November 4, 2019
Peter Sarnak
Peter Sarnak (IAS)
  • Lecture 1 - “Integral Quadratic Forms and Applications”. November 4, 5-6pm, Nau 101
  • Lecture 2 - “Integer points on affine cubic surfaces”. November 5, 5-6pm, Monroe 124
  • Lecture 3 - “Applications of points on subvarieties of tori”. November 6, 5-6pm, Nau 101

Abstracts »


Van Vu - Virginia Mathematics Lectures - April 15-16, 2019

Event start date: Monday, April 15, 2019
Van Vu
Van Vu (Yale University)

The (random) matrix

  • Lecture 1 - “Random matrices: Global distributions”. April 15, 5-6 pm, Monroe 124
  • Lecture 2 - “Random matrices: Local distributions”. April 15, 6-7 pm, Monroe 124
  • Lecture 3 - “Random matrices in Data Science”. April 16, 5-6 pm, Nau 101

This series of talks is devoted to modern aspects of random matrix theory.

Abstracts »


Andrei Okounkov - Virginia Mathematics Lectures - October 22-24, 2018

Event start date: Monday, October 22, 2018
Andrei Okounkov
Andrei Okounkov (Columbia University)

New worlds for Lie theory

  • Lecture 1 - October 22, 5-6pm, Nau 101
  • Lecture 2 - October 23, 5-6pm, Nau 101
  • Lecture 3 - October 24, 5-6pm, Nau 101

Preceded by the Workshop on Representation Theory, Combinatorics, and Geometry (October 19-21)

Abstract »


Irene Fonseca - Virginia Mathematics Lectures - March 15 and 16, 2018

Event start date: Thursday, March 15, 2018
Irene Fonseca
Irene Fonseca (Carnegie Mellon University)

Variational Methods for Materials and Imaging Sciences

Abstract: Recently developed methods and a deep articulation of ideas from the Calculus of Variations, Geometric Measure Theory, and nonlinear Partial Differential Equations (PDEs), have been instrumental in the mathematical rigorous understanding of nonlinear phenomena in a plethora of physical and technological applications, ranging from analyzing instabilities in novel advanced materials to the denoising of medical images. This leads to the two talks of this series: Variational Problems in Materials Science and Variational Problems in Imaging Science.

Abstracts of talks »


Yair Minsky - Virginia Mathematics Lectures - November 13-15, 2017

Event start date: Monday, November 13, 2017
Yair Minsky Poster
Yair Minsky (Yale University)
  • Lecture 1. Hyperbolic 3-manifolds, their structure and deformations
  • Lecture 2. Between 2 and 3 dimensions: Teichmuller theory, pleated surfaces, and the complex of curves
  • Lecture 3. Quantitative models, Thurston's skinning map, and beyond

Abstracts »


Benedict Gross - Virginia Mathematics Lectures - March 27-29, 2017

Event start date: Monday, March 27, 2017
Benedict H. Gross Poster
Benedict H. Gross (Harvard)
  • Lecture 1: The rank of elliptic curves
  • Lecture 2: The arithmetic of hyperelliptic curves
  • Lecture 3: Heegner points on modular curves

Abstracts »


James Arthur - Virginia Mathematics Lectures - November 14-16, 2016

Event start date: Monday, November 14, 2016
James Arthur Poster
James Arthur (University of Toronto)
  • Lecture 1: L-functions and Number Theory
  • Lecture 2: The Trace Formula and Automorphic Forms
  • Lecture 3: Beyond Endoscopy and Functoriality

Abstract »


Karen Smith - Virginia Mathematics Lectures - February 29 - March 2, 2016

Event start date: Monday, February 29, 2016
Karen Smith Poster
Karen Smith (University of Michigan)
Algebra, Geometry and Analysis over Finite Fields


Abstracts »


Ian Agol - Virginia Mathematics Lectures - October 14-16, 2015

Event start date: Wednesday, October 14, 2015
Ian Agol Poster
Ian Agol (Berkeley)
The Virtual Haken Conjecture
  • Lecture 1: An overview of 3-Manifold Topology
  • Lecture 2: What is Geometric Group Theory?
  • Lecture 3: Geometric Group Theory and the Virtual Haken Conjecture

Abstracts »


Vaughan Jones - Virginia Mathematics Lectures - April 6-8, 2015

Event start date: Monday, April 6, 2015
Vaughan Jones Poster
Vaughan Jones (Vanderbilt University)
  • Lecture 1: Knots and Groups
  • Lecture 2: Lecture 2: Von Neumann Algebra and Physics
  • Lecture 3: Do all Subfactors arise in Conformal Field Theory?

Abstracts »


Alex Lubotzky - Virginia Mathematics Lectures - November 18-20, 2014

Event start date: Tuesday, November 18, 2014
Alex Lubotzky Poster
Alex Lubotzky (Hebrew University of Jerusalem)
Expanders: From One-Dimensional to Multi-Dimensional
  • Lecture 1: Expander Graphs and Geometric/Topological Expanders
  • Lecture 2: From Ramanujan Graphs to Ramanujan Complexes
  • Lecture 3: Coboundary Expanders and Property Testing

Abstracts »