Peter Taylor works in the general field of applied probability. He is noted for building mathematical models for real-world systems that are driven by random processes. He has achieved significant advances in the theoretical analysis of the behaviour of such models as well as in computational techniques for solving them. He has applied his theoretical and computational advances to provide solutions to problems across a wide range of areas: telecommunications systems and data networks, queueing theory, the management of natural resources, mechanism design in economics, extreme rainfall and bushfire events, patient flow in healthcare systems, epidemic modelling, systems biology and blockchain modelling.