Timothy’s work and interests lie in the field of operator algebras, which bridges ideas in functional and harmonic analysis, group theory and dynamical systems. Read his Oxy Story profile.
Tim studies the classification of C*-algebras arising from combinatorial structures and noncommutative dynamical systems. He is interested in the purely infinite/stably finite dichotomy for such algebras as well the C*-Connes embedding question which asks whether every stably finite C*-algebra admits norm-microstates, or equivalently, is embeddable into a field of matrix algebras. The use of dynamical K-theory appears throughout Tim's work.