Loop-erased walks and total positivity (MSRI, May 2001)

Enumeration of plane curves and labeled floor diagrams (MSRI, October 2009)

Cluster algebras (master class, 15 lectures, Århus, June 2010)

Total positivity and cluster algebras (ICM, Hyderabad, August 2010)

Total positivity and cluster algebras (Microsoft Research, October 2010)

Introduction to cluster algebras (3 lectures, MSRI, August 2012)

Quivers, mutations, and invariants (Moscow, February 2013; in Russian)

Andrei's theorems (conference in memory of Andrei Zelevinsky, April 2013)

Cluster algebras and invariant theory (Euler Institute, October 2013)

Subtraction-free complexity (Steklov Institute, May 2014)

Unimodality and partially ordered sets (Moscow, June 2016; in Russian)

Noncommutative Schur functions I and II (Moscow, December 2016; in English)

Morsifications and mutations (Luminy, March 2018)

Singularities of plane curves and quiver combinatorics (St. Petersburg, June 2018; in Russian)

Expressive curves: Ann Arbor (via Zoom, August 2020), Stony Brook (via Zoom, October 2020), IAS (March 2025).

Cluster transformations (Chicago [via Zoom], May 2021)

Heronian friezes (Newton Institute [via Zoom], November 2021)

Links of planar algebraic curves (AIM Colloquium [via Zoom], January 2022)

Quiver mutations (Minneapolis, May 2022)

Incidence geometry and tiled surfaces: IPAM (March 2024), Saclay (June 2024); IHES (November 2024), IAS (March 2025).