�ʹڲ�Ʊ

School of Mathematics & Statistics
�ʹڲ�Ʊ, Sydney

My research spans two areas: dynamical systems and optimization.

My dynamical systems research focusses on the interplay of probability and geometry in nonlinear and chaotic dynamical systems, and uses tools 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 , the atmosphere, and granular flows, using models and observational data. This  sketches some my applied dynamics research, and this  is pitched at the general public.

My optimization research is focussed 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. Recent work includes optimising lung cancer radiotherapy treatment.

(ARC Research Fellow)

My research is focused primarily on analysis of dynamical systems. I specialise in the detection of Lagrangian coherent structures and almost invariant sets in a variety of idealised, simulated and real world velocity systems. I am also proficient in complex analysis, numerical methods, optimisation and statistics.

(Einstein Research Fellow)

PhD in 2022 titled “Data, models and transitions - bottom-up and top-down approaches in computational neuroscience”. Manu is an applied mathematician by training, with research interests in computational and mathematical neuroscience, dynamical systems and bifurcation theory, network theory and the interaction of machine learning with dynamical systems.

(ARC Laureate Research Fellow)

I am a postdoctoral fellow at �ʹڲ�Ʊ, working with Prof. Gary Froyland. I completed my PhD in Mathematics at Imperial College London under the supervision of Prof. Jeroen Lamb and Prof. Martin Rasmussen. My research interests are dynamical systems and Markov processes, specifically in the statistical properties of random dynamical systems, non-uniformly hyperbolic systems and absorbing Markov processes.

(ARC Laureate Research Fellow)

My research focus on ergodic theory, stochastic properties on dynamical systems and random graphs. Example of systems I am interested include complex structures over chaotic dynamical systems such as Lorentz gas, collision models or random environment as branching processes and random graphs.

(PhD student)

Research Interests: Random Dynamical Systems; Scientific Machine Learning;  Multiscale Modelling; Operator Theory; Spectral Methods.

(PhD student)

Hi, I'm Nick. I'm a PhD student from New Zealand and I started my PhD with Gary in 2024. For now, my thesis title is "operator based techniques for the analysis of dynamical systems" and currently I'm looking at methods for approximating the transfer and Koopman operators using data measured from the trajectory of a dynamical system. Outside of my studies, I also do fencing and taekwondo and I like painting.

(Einstein PhD student, joint with Prof. Dr Peter Koltai)

(Honours student)

(Honours student)

(Honours student)