The majority of my research takes place within the field of quantum probability, a branch of mathematics which involves functional analysis, probability theory and quantum mechanics. At present I am investigating Feynman-Kac perturbations of quantum dynamical semigroups, the general theory of quantum random walks and the theory of non-commutative stopping times.
I also have a strong interest in the classical theory of stochastic processes and its applications to financial mathematics.
Quantum random walks
Exotic forms of independence in quantum probability
Activity: Conference participation › Participation in conference
Activity: Conference participation › Participation in workshop, seminar, course
Activity: External academic engagement › Research and Teaching at External Organisation