معرفی
Benjamin Hayes is an Associate Professor in the Department of Mathematics at the University of Virginia, where he has been employed since 2017.
Dr. Hayes earned his PhD in June 2014 from the University of California, Los Angeles under the direction of Dimitri Shlyakhtenko. Prior to that, he received his bachelor's degree in June 2009 from the University of Washington.
His research focuses on the intersection of operator algebras and ergodic theory. Dr. Hayes is particularly interested in sofic entropy, microstates free entropy dimension, and the application of techniques from operator algebras and free probability to solve problems in ergodic theory. His initial research used ideas from sofic entropy to define extended von Neumann dimension for actions of groups and equivalence relations on Lp-spaces, with applications to the cost vs. l2-Betti number problem. He is also interested in measured group theory, the study of sofic groups, and random matrices.
Dr. Hayes is actively involved in mentoring the next generation of mathematicians. He currently supervises two PhD students (Felipe Flores and Aoran Wu), advises James Harbour in undergraduate research, and mentors postdoc Jacob Campbell. Previously, he supervised PhD student Mat Turnanksy and distinguished major Yichen Ma.
