Lewis Bowen is a professor at the Department of Mathematics at the University of Texas at Austin. His research is in ergodic theory; especially the entropy theory of group actions. He is currently working on (1) unimodular random networks from an ergodic theory viewpoint, (2) how phase transitions in constraint satisfaction problems relate to the ergodic theory of free group actions and (3) developing entropy theory for actions of non-amenable locally compact groups with potential applications to point processes.
Here is his

webpage