William Geller

William Geller is an Associate Professor at Indiana University with office LD 224K, contactable via (317) 278-2465 or wgeller@iu.edu. His academic profile centers on mathematical research with interdisciplinary connections.

Research Interests: Prof. Geller specializes in Dynamical Systems, particularly symbolic dynamics, topological dynamics, and combinatorial dynamics, with significant contributions to Game Theory and Geometric Group Theory. His current projects investigate asymptotic geometry effects on threshold dynamics in graph structures (with B. Ramsey), extensions of cellular automata theory to nonamenable groups addressing Furstenberg's conjecture (with T. Sinclair), and classification of lamplighter groups up to quasi-isometry.

Publication trends reveal consistent focus on mathematical structures underlying dynamics, with recurring themes in symbolic representations of combinatorial problems (e.g., integer tiling and interval mapping) and game-theoretic applications (Nash maps in matching pennies). His work bridges abstract dynamics with computational and geometric frameworks, demonstrating evolving integration of asymptotic topology into core dynamical systems research.