Talks

Selected research talks

• Dimer face polynomials in knot theory and cluster algebras: slides
• Tilings and cluster adjacency for the m=4 amplituhedron: slides
• Braid variety cluster structure: slides
• The m=2 amplituhedron and the hypersimplex: slides
• Many cluster structures on positroid varieties: slides
• Kazhdan-Lusztig immanants and k-positivity: notes
• Cluster structure on Schubert varieties: slides
• X-variables in finite type cluster algebras: slides

Expository talks

• Videos for 2025 SLMath lectures on the cluster structure on the Grassmannian: talk 1, talk 2, talk 3, talk 4
• Slides for 2023 Dimers lectures on amplituhedra and their tilings: talk 1, talk 2
• 2022 survey of my research in total positivity and cluster algebras, for a general audience: slides
• The torus knot T(n, n+1) and its combinatorics (intro talk for 2022 learning seminar on Macdonald polynomials, knot invariants, and cluster algebras): notes
• Ingermanson's cluster structure on Richardson varieties: notes

My research is supported by the NSF under Award No. 2444020.