Regular biography
Pavel Galashin is an Associate Professor in the Department of Mathematics at Cornell University. His research focuses on algebraic combinatorics, particularly total positivity and cluster algebras, with an emphasis on their connections to knot theory, statistical mechanics, and the physics of scattering amplitudes. He has contributed to various areas within this field, including the study of amplituhedra, positroids, and the positive orthogonal Grassmannian. His work includes joint publications in prestigious journals such as Duke Mathematical Journal and the Journal of the American Mathematical Society.
Scholar-generated biography
Pavel Galashin is an Associate Professor at UCLA and Cornell, specializing in algebraic combinatorics, cluster algebras, and total positivity. His research explores the interplay between combinatorial structures and algebraic geometry, with a focus on positroid varieties, the amplituhedron, and the positive orthogonal Grassmannian. Galashin's work often bridges representation theory, knot theory, and stochastic models, contributing to the understanding of total nonnegativity in flag varieties and Grassmannians. His publications include studies on plabic graphs, zonotopal tilings, and dual stable Grothendieck polynomials, highlighting his commitment to uncovering deep connections within mathematical structures.