Dr. Mike Whittaker

Biography

Mike Whittaker is a Professor in the School of Mathematics & Statistics at the University of Glasgow. His primary research interest lies in the connection between topological dynamical systems and operator algebras. His work involves constructing C*-algebras to ascertain dynamical invariants in a noncommutative framework. Specific areas of interest include hyperbolic dynamical systems known as Smale spaces, self-similar group actions, graph and k-graph algebras, and aperiodic substitution tilings. Utilizing a noncommutative geometry program developed by Alain Connes, he employs algebras to construct K-theoretic invariants, Poincaré duality classes, KMS equilibrium states, and spectral triples. He is particularly interested in the fractal nature of dynamical systems, exploring the local structure and chaotic global behavior. Aperiodic tilings have proven to be useful in furthering the understanding of these phenomena as geometric models for self-similar dynamical systems.

Research Interests

Experience