BSc (Hons 1, Medal) Qld (Pure and Applied Mathematics); PhD W.Aust. (Mathematics)
Professor Gary Froyland works in two main research areas: Dynamical Systems and Optimisation. Dynamical Systems studies processes that change over time and optimisation concerns the mathematics of decision-making. My research ranges from pure mathematics through to computation and application to industry and other scientific disciplines.
My dynamical systems research focusses on the interplay of probability and geometry in nonlinear and chaotic dynamical systems, and uses techniques from ergodic theory, functional analysis, and differential geometry. In addition to fundamental mathematical research in dynamical systems, I have applied my research methods to analyse models of the ocean and atmosphere, and granular flow. My optimisation research is focused on decision making in large and complicated systems, sometimes in the presence of uncertain information. My research concerns new modelling approaches in mathematical programming, integer programming, and stochastic programming. These new approaches have been applied to strategic planning of open pit mines, scheduling of maritime crane fleets, and robust scheduling of aircraft and flight crews under uncertain disruption. Current work includes optimising lung cancer radiotherapy treatment.
Externally funded projects