**Members of the Applied Mathematics group**

- This page lists people in Applied Mathematics with a brief description of their research interests.
- More details can be found on the personal web pages which are linked at this page. Personal pages represent the views of the individuals only, not the view of the School.
- For contact details please consult the contact-us section as well.

David Arrowsmith's main area of research has been dynamical systems. More recently, he has been involved with research programmes on complex networks in telecommunications, power grids, and infrastructure supplies. He has published over 60 articles and 5 books (including 2 translations). In the last decade he has been supported by the EPSRC on packet traffic in networks (Joint with University of York, 2003-2005), and was Principal Investigator of an EPSRC project RAVEN - Resilience, Adaptability, and Vulnerability of complex Energy Networks, 2010-2013. He was also coordinator for an EU Pathfinder research project, MANMADE, on the criticality of energy infrastructure networks in Europe 2006-2009; . He is currently involved in the co-supervising a PhD project with the School of Medicine and Denistry at QML on the network analysis of trauma response, 2011-2014. He is a member of the EPSRC Strategic Advisory Team for Mathematical Sciences, 2011-2014; Chair of HoDoMS(Heads of Departments of Mathematical Sciences UK) 2011-2014; member of the LMS Research Committee, 2011-2014; member of the QAA Subject Benchmark Review (Mathematics, Statistics and Operational Research), 2014; Member of the Joint Mathematical Council Executive, 2014-2015, proposed Education Secretary of the IMA, proposed for 2015-2017. | |

Oscar Bandtlow is interested in functional analysis and its applications to dynamical systems and statistical mechanics. A particular concern is to develop methods from operator theory to study the probabilistic behaviour of chaotic dynamical systems. After completing his PhD in Theoretical Physics at the Unversity of Cambridge he held various positions in Glasgow, London and Nottingham before joining QMUL as a lecturer in 2006. | |

Adrian Baule is interested in the theoretical description of complex non-equilibrium systems using methods of statistical physics. After finishing his PhD at Leeds University in 2008, Adrian has spent three years as a postdoc in New York: in the lab of Boltzmann medalist E. G. D. Cohen at Rockefeller University and as a distinguished Levich Fellow at the City College of New York. He joined Queen Mary as a Lecturer in Applied Mathematics in September 2011. His recent work deals with the foundations of non-equilibrium statistical mechanics and its application to phenomena in soft condensed matter, biophysics, and finance. | |

Christian Beck has broad research interests, covering generalized statistical mechanics methods for complex systems, spatio-temporal chaos and stochastic processes. Together with Boltzmann-medalist Eddie Cohen (Rockefeller University, NY) he has introduced the superstatistics concept, to describe complex systems with time scale separation. Applications include turbulent flows, scattering processes in high energy physics, traffic delay statistics, mathematical finance, as well as medical and biological applications. Another research area of his are stochastically quantized field theories, in particular novel types of dark energy models based on chaotic scalar fields. Some recent work with Michael Mackey (McGill University, Canada) investigates the measurable effects of quantum noise and zeropoint fluctuations in superconducting devices. With Friedrich Schloegl, he authored the book `Thermodynamics of Chaotic Systems', an accessible introduction to the thermodynamic formalism of dynamical systems. | |

Ginestra Bianconi is interested in statistical mechanics, complex networks and to interdisciplinary applications to complex biological, social and technological systems. In particular she is working on critical phenomena on networks, on their off-equilibrium dynamical properties, on the interplay between their global and local structure and on the quantification of their complexity by entropy measures. The results of her work include the mathematical treatment of condensation off- equilibrium transitions that explain the winner-takes-all phenomena observed in the World-Wide-Web as well as in models of ecology and evolution. The aim of her current research is a formulation of an information theory of complex networks, the characterization of temporal social networks and the study of classical and quantum phenomena on single and interacting networks. | |

Leon Danon is a Leverhulme Trust Early Career Research fellow and Lecturer in the School of Mathematics. His interests lie in understanding collective behaviour from a complexity point of view. In other words, how and why does complexity emerge from many, simple, interacting components? These ideas have come up in a wide variety of topics he has worked on including the statistics of earthquakes, communities in social networks, flow of information and disease transmission. Now, he is interested in how emergent properties of human behaviour can be captured, understood and used to improve people's lives. He focuses on understanding how collective human behaviour affects disease and vice versa, how disease affects human behaviour. In particular, he likes to use large datasets which leads to a level of realism that ensures applicability and impact. | |

Yan Fyodorov's research is mainly centred on applications of Random Matrix Theory to mathematical and theoretical physics of disordered systems, both classical and quantum, among others to areas of Anderson Localization, Quantum Chaotic Scattering, Mesoscopics, and Statistical Mechanics. He is currently focuses on exploring statistical properties of random landscapes and the extreme value statistics of strongly correlated random processes and fields, in particular on 1/f noises and their relations to random matrices, Burgers turbulence, multifractal measures, and Riemann zeta-function. | |

Ilya Goldsheid's research interests lie mainly in probability theory and mathematical physics. More specifically but still in broad terms, they could be described as the study of quantum and classical dynamics in random media. Finally in much more precise terms, he is interested in the celebrated localization problem for the Anderson model, i.e. quantum particles in random media, and in the study of random walks in random environments, as models for classical particles in random media. His other interests include products of random matrices, Lyapunov exponents of products random transformations, spectral properties of non-self-adjoit random operators. Some of the latter topics are motivated by the study of the localization problem and random walks; at the same time all of them are of great importance in their own right. | |

Rosemary Harris is interested in stochastic non-equilibrium processes. In particular, she uses the framework of interacting particle systems both to study fundamental aspects of non-equilibrium statistical physics (such as the application and validity of fluctuation theorems) and to develop toy models for various applications, for example vehicular traffic, biological transport and financial markets. She came to QMUL in 2007 after completing a DPhil at the University of Oxford and holding research positions at the Forschungszentrum Jülich and the Universität des Saarlandes. | |

Oliver Jenkinson is interested in Ergodic Theory and Dynamical Systems. He was a founder of the research area of Ergodic Optimization. Other dynamical interests include symbolic dynamics, thermodynamic formalism, hyperbolic dynamics, smooth ergodic theory, entropy, combinatorial dynamics, and fractal geometry. His work has interaction with geometry, topology, probability theory, number theory, numerical analysis, convex analysis, functional analysis, and complex analysis. | |

Boris Khoruzhenko has research interests at the interface of the theory of disordered systems and random matrices and their applications. Together with Yan Fyodorov and Hans-Juergen Sommers he discovered the regime of weak non-Hermiticity in the complex spectra and studied the crossover from Wigner-Dyson to Ginibre eigenvalue statistics for complex matrices. This work, motivated by applications to open quantum chaotic systems was awarded prize (and a medal) by the Institute Henri Poincaré (Paris) in 1998. More recently, together with Ilya Goldsheid, Boris developed a theory explaining why tridiagonal random matrices have eigenvalues lying on curves in the complex plane and describing fine properties of the eigenvalue distribution. This work was motivated by non-Hermitian quantum mechanics of Hatano and Nelson. Currently he is researching in the applications of the theory of symmetric polynomials, and in particular Schur functions and associated character expansions, to problems of the Random Matrix Theory. | |

Rainer Klages' research interests cover dynamical systems theory, nonequilibrium statistical physics and complexity with applications to nanoscience and biology. He spent several years as a postdoctoral researcher in the USA, Hungary, Belgium and Germany before moving to Queen Mary in 2004. He discovered a fractal parameter dependence of transport coefficients and analysed relations between chaos and transport in dissipative systems. More recently he applied the stochastic theory of anomalous transport to understand biological cell migration and bumblebee flights. His research in theoretical physics and applied mathematics thus ranges from mathematical foundations to experimental applications. He published several books and, after receiving an Outstanding Referee Award from the American Physical Society, is currently serving as a Divisional Associate Editor for Physical Review Letters. | |

Lucas Lacasa has broad interests in complexity science, where he addresses both theoretical and applied problems by using tools from statistical physics, nonlinear dynamics, stochastic processes and network science. He introduced the concept of visibility algorithms, accurate transformations mapping time series to networks, as a novel tool for graph-theoretical time series analysis, which he has successfully applied to classic series classification problems, such as the chaos/noise or the reversible/irreversible identification. He is currently interested in developing a general network-based theory of signals and their underlying dynamics under this approach. Other research interests include the application of statistical physics, dynamical systems and networks to interdisciplinary problems: the onset of phase transitions and criticality in combinatoric systems, the emergence of collective behaviour in social or biological systems, or the description of dynamics running in top of networks are a few examples. He joined QMUL in 2013. | |

Vito Latora is interested in complex systems, nonlinear dynamics and statistical mechanics. He has contributed with a series of mathematical models and empirical studies to understand the structure and dynamics of complex networks. In particular, he has pioneered works on the efficient behavior of weighted networks, on cascading failures, and on spatial networks. He is currently focusing on time-varying networks, and on interacting and biased random walks, epidemic spreading, and emergence of synchronization in complex networks. He is actively working on various applications of complex networks theory to neuroscience, biology, social sciences, and to the study of urban systems. He is a coauthor of a review article on the structure and dynamics of complex networks. He has joined QMUL in 2012. | |

Michael Phillips works in Random Matrix Theory (RMT), a field of applied mathematics which involves exploring the properties of matrices with randomly-distributed elements. A particular interest of his is investigating the (complex-valued) eigenvalues of non-Hermitian matrices, and determining how their statistical distributions depend on the precise structure of the class of matrices being considered. One specific class of matrices that he and his colleagues recently solved can be used to model certain features of Quantum Chromodynamics (QCD), the theory of the strong nuclear force. He joined Queen Mary in January 2012. | |

Thomas Prellberg is interested in lattice statistical mechanics, enumerative and asymptotic combinatorics, dynamical systems, Monte Carlo algorithms, and soft condensed matter. His work in Monte Carlo algorithms constitutes a significant contribution to the means and methods of simulating random structures, such as walks, on a regular lattice by computer. A mathematical constant occurring in the asymptotic analysis of recursive programming is named after him. Thomas is affiliated with Clausthal University of Technology in Germany. He is also an Associate Investigator of the Centre of Excellence for Mathematics and Statistics of Complex Systems at the University of Melbourne in Australia. | |

Juan A. Valiente Kroon did his PhD studies at QMUL, and was a postdoctoral researcher at the Max Planck Institute for Gravitational Physics in Potsdam, Germany, and afterwards at the University of Vienna. He is currently and EPSRC Advanced Research fellow. He pursues research in mathematical General Relativity, and thus shares as well research interest with the Astronomy Unit. He is particularly interested in global and asymptotic properties of spacetimes, the mathematical structure of black holes, invariant classifications of spacetimes and initial data thereof, applications of Computer Algebra to Relativity, relativistic elasticity theory and numerical Relativity. He has recently co-authored a review on the interaction between analytic and numerical methods in General Relativity. | |

Franco Vivaldi works in Dynamical Systems. He was one of the founders of the discipline of arithmetic dynamics, which is concerned with applications of arithmetical and algebraic methods to the study of dynamical systems. Current research includes investigation of the phenomenon of `pseudo-chaos' in zero-entropy systems (in collaboration with J H Lowenstein at NYU, New York), and the study of statistical properties of dynamical systems over finite fields (in collaboration with John Roberts at UNSW, Sydney). | |

Wolfram Just studied physics in Germany and Japan. He joined QMUL in 2000. His research covers topics in dynamical systems' theory and the statistical physics of nonequilibrium systems, with particular emphasis on time delay dynamics, stability and control of complex nonlinear systems, and scaling behaviour and nonequilibrium phase transitions in spatially extended systems. Applications concern, for instance, the stabilisation of unstable periodic states in electronic and mechanical systems by time delayed feedback, so-called "control of chaos". Other recent results deal with topics in nonlinear data analysis, e.g., the modelling of chaotic motion by noise, or the application of statistical mechanics and symbolic dynamics to understand emergent behaviour in space-time chaotic models. |