Monodromy: yesterday, today, and tomorrow. Here is a related video from back in 2018.

Duality interfaces in 3 dimensional theories, String-Math 2019: slides, video

Characters and difference equations, CMI at 20: slides, video. See also notes from an ealier MSRI talk.

New roots of Lie theory, 2019 Elisha Netanyahu Memorial Lecture slides

New worlds for Lie theory, ICM 2018: slides, video.

Enumerative symplectic duality: slides, video.

My lectures from the "Lie theory without groups", the 21st Midrasha Mathematicae: lecture 1 , lecture 2 , lecture 3

The Donaldson--Thomas theory of threefolds, or why is it interesting to count sheaves? The 20th Takagi Lectures. Lecture notes, video part1, video part 2

Curve Counting, Geometric Representation Theory, and Quantum Integrable Systems, a minicourse at Kyoto University. Lectures 1 2 3 4 5

Gauge theories and Bethe eigenfunctions, String-Math 2017: slides, video

Enumerative geometry and representation theory, Algebraic Geometry 2015, Part 1, Part 2, Part 3

(Same title, aimed at a broader audience at HCM Bonn: slides, video)

Boxcounting, Lezione Leonardesca, June 2015

Quantum Groups and Quantum K-theory, UCLA, February 2015

The index of M-theory, this version from the AMS-IMU joint meeting, June 2014

Quantum Groups and Quantum cohomology, Princeton lectures, Spring 2014, courtesy of princetonmathematics and Changjian Su

On some interesting Lie algebras, Conference in honor of Victor Kac, IMPA, June 2013, discusses the connection between the Lie algebra associated to a quiver in [MO] and Kac polynomials

Deep waters of quantum cohomology, Simons Center, January 2013

K-theoretic stable envelopes and their applications, Simons Center, November 2012

Simons Lectures at MIT,  "Applied noncommutative geometry", Lecture 1, Lecture 2, Lecture 3, May 2010.

Limit shapes: real and imagined, AMS Colloquium lectures, 2007

Wave fronts on random surfaces, Moshe Flato Lecture 2007

Most of my papers are available from the arXiv