Time scales and species coexistence in chaotic flows
Tobias Galla, Vicente Pérez Muñuzuri arxiv.org/abs/1608.05166
Stochastic transport in the presence of spatial disorder: fluctuation-induced corrections to homogenization
Matthew J. Russell, Oliver E. Jensen, Tobias Galla arxiv:1606.05600
Birth-death processes with quenched uncertainty and intrinsic noise
Tobias Galla arxiv:1606.04050
Emergence of Cooperative Long-term Market Loyalty in Double Auction Markets
Aleksandra Aloric, Peter Sollich, Peter McBurney, Tobias Galla PloS One 11 (4), e0154606, arxiv:1510.07927
Current PhD students
Francisco Herrerias-Azcue, Models of epidemiology
Peter Hufton, Individual-based models with switching environments
Marco Smolla (external, Faculty of Life Sciences), Models of social learning in animals
Matthew Russell, Uncertainty quantification in models of stochastic transport
Henri Kauhanen (external, Linguistics, English Language), Agent-based models of language evolution
Postdoc
Yen Ting Lin, Uncertainty quantification in healthcare modelling
Alumni
Nick Phillips (external, Faculty of Life Sciences), Models of gene
regulatory systems, PhD 2016 (now postdoc in Manchester)
Peter Ashcroft, Stochastic evolutionary dynamics and cancer modelling,
PhD 2015, now postdoc at ETH Zurich
Tobias Brett, Stochastic dynamics with delay, PhD 2015, now postdoc in
the US
John Realpe Gomez, postdoc 2011-12
Michalis Smyrnakis, postdoc 2010-13
Alex Bladon, PhD 2011 (now bioinformatician at Illumina Cambridge)
Royal Society International Joint Project Grant, Characterising complex nonlinear systems using quantum information theory 2010-2012, with Otfried Guehne, Institute for Quantum Optics and Quantum Information, Innsbruck, Austria
Trajectory
since 09/07: School of Physics and Astronomy, University of
Manchester, UK (2016- Reader; 2012-16 Senior Lecturer; 2007-12 RCUK Fellow/Lecturer)
I normally run 2-3 MPhys projects at any given time. These are usually linked to our ongoing research, I prefer to make them "mini-PhDs", which is why I normally favour full-year projects. Available topics vary from semester to semester (following the natural flow of our research), but they all focus on the application of nonlinear dynamics, statistical physics and the theory of stochastic processes to the mathematical modelling and simulation of problems in complex systems. Past and present topics have for example included
The dynamics of Minority Games
Chaos in game theory
Stochastic models of evolutionary processes
Agent-based modelling of evacuation dynamics
When symmetry breaks, how big are the pieces ? The dynamics of defect formation