Lauren K. Williams - Videos of selected lectures

Selected lectures

1. Harvard ``Veritalk,'' January 2026.

   A 2-minute video about my research, January 2026.

2. Mirror symmetry for the Grassmannian and its Schubert varieties, February 2025.

   Lecture at the workshop on Combinatorics of Enumerative Geometry, Institute for Advanced Study, February 2025.

3. Combinatorics and geometry of the amplituhedron, September 2024.

   Lecture at the conference Mathematics on the Crossroads of Centuries, in honor of Kontsevich's 60th birthday, Institut des Hautes Etudes Scientifique, September 2024.

4. The inhomogeneous multispecies t-PushTASEP and Macdonald polynomials, April 2024.

   Lecture at the conference Integrability and Algebraic Combinatorics, at the Institute for Pure and Applies Mathematics, UCLA, April 2024.

5. Cluster algebras and the amplituhedron, December 2023.

   Lecture at the conference "Current trends in representation theory, cluster algebras, and geomtery", Centre International de Recontres Mathematiques (Luminy, France), December 2023.

6. The positive Grassmannian, the amplituhedron, and cluster algebras, July 2022.

   Lecture at the International Congress of Mathematicians, July 2022.

7. Combinatorics of hopping particles and positivity in Markov chains, May 2022.

   Lecture at the conference Open Problems in Algebraic Combinatorics, Minneapolis, May 2022.

8. Tropical geometry and shallow water waves, April 2022.

   MAA-AMS-SIAM Gerald and Judith Porter Public Lecture at the Joint Mathematics Meetings, April 2022.

9. Schubert polynomials, the inhomogeneous TASEP, and evil-avoiding permutations, August 2021.

   Lecture at the Sydney Mathematical Research Institute, SMRI algebra and geometry online, August 2021.

10. Macdonald and Schubert polynomials from Markov chains, April 2021.

    Colloquium at the University of Chicago, April 2021.

11. The hypersimplex and the m=2 amplituhedron, August 2020.

    Lecture at the Kavli Institute for Theoretical Physics, UCSB, August 2020.

12. Introduction to cluster algebras from surfaces, October 2019.

    Lecture at the "Spacetime and Quantum mechanics master class workshop", CMSA, Harvard, October 2019.

13. Introduction to cluster algebras, October 2019.

    Lecture at the "Spacetime and Quantum mechanics master class workshop", CMSA, Harvard, October 2019.

14. Newton-Okounkov bodies for Grassmannians, March 2018.

    Lecture at the conference Cluster algebras: twenty years on, Centre International de Recontres Mathematiques (Luminy, France), March 2018.

15. Tableaux combinatorics of hopping particles and Koornwinder polynomials, April 2017.

    Colloquium at Stony Brook, April 2017.

16. Combinatorics of hopping particles and orthogonal polynomials, November 2015.

    Lecture at the 2016 Breakthrough Prize Symposium, November 2015.

17. Lectures on cluster algebras, Fall 2014.

    This is a series of ten two-hour lectures on cluster algebras, given at the Institut Henri Poincare (Paris) in 2014.

18. Network parameterizations for the Grassmannian, April 2013.

    Lecture at the conference "Algebra, Combinatorics and Representation Theory: in memory of Andrei Zelevinsky (1953--2013)," Northeastern, April 2013.

19. Lectures at SLMath, Berkeley (2008 to present).

    Lectures that I have given at the Simons Laufer Mathematical Sciences Institute, formerly known as the Mathematical Sciences Research Institute (MSRI), from 2008 to the present.