معرفی
Pavel Galashin is an Associate Professor in the Department of Mathematics at the University of California, Los Angeles, where he joined in 2019 after completing his PhD at MIT under Alex Postnikov. His research focuses on algebraic combinatorics with emphasis on total positivity and cluster algebras.
His primary research interests include algebraic combinatorics, total positivity, cluster algebras, amplituhedra, plabic graphs, positroids, and connections to mathematical physics. His work bridges combinatorics with algebraic geometry, representation theory, and theoretical physics, particularly in scattering amplitudes and integrable systems.
Galashin's recent publications reveal a strong focus on braid varieties, positroid varieties, and their connections to cluster structures. His research shows significant interdisciplinary impact across combinatorics, algebraic geometry, and mathematical physics, with particular attention to geometric structures in scattering amplitudes and connections to knot theory.
He has received an Alfred P. Sloan Research Fellowship and NSF funding through grants DMS-1954121 and DMS-2046915 (CAREER).
Galashin advises multiple PhD students including Matthew Tyler, Ariana Chin, Thomas Martinez, and Olha Shevchenko, and co-mentors postdocs such as Terrence George and Colleen Robichaux. Together with Anton Bernshteyn, Terrence George, Igor Pak, and Colleen Robichaux, he organizes the UCLA Combinatorics Forum.
