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I am a third year Assistant Professor (Postdoc) at Vanderbilt University. I earned my my PhD in June 2014 at the University of California, Los Angeles, under the direction of my doctoral advisor Dimitri Shlyakhtenko. I received my bachelor's
 degree in June 2009 from the University of Washington.  You can find my CV here. 

I did a senior thesis at University of Washington, under the supervision of Doug Lind, which you can find here. You can also find my PhD thesis here.


Statement of inclusiveness


Interests:

I am interested in operator algebras and ergodic theory, in particular their intersection. I am currently investigating sofic entropy as well as microstates free entropy dimension. I try to techniques from operator algebras/free probability to solve problems in ergodic theory and vice versa. My initial research used ideas from sofic entropy to give a definition of extended von Neumann dimension for actions of groups/equivalence relations on L^{p}-spaces, with applications to the cost vs. l^{2}-Betti number problem.

Contact

Department of Mathematics
1326 Stevenson Center
Vanderbilt University
Nashville, TN 37240

Office 1523
Tel. +1 615 322-3659

E-mail: benjamin.r.hayes@vanderbilt.edu