Professor Todorov’s research interests are in the areas of Operator Algebras, Abstract Harmonic Analysis, Quantum Information Theory and their interactions. More specifically, he is interested in the theory of operator systems and their applications to zero-error quantum information theory and the theory of non-local games.

He also studies locally compact groups and their applications to operator algebras, as manifested in the study of special sets in harmonic analysis, Schur and Herz-Schur multipliers, theory of non-commutative dynamical systems and others.