Tommaso Lorenzi

Current position
Research fellow in Applied Mathematics at the University of St Andrews

Research synopsis
I am an applied mathematician and I work in mathematical biology. The focus of my research is on the development, analysis and numerical simulation of deterministic models formulated in terms of nonlinear partial differential equations (PDEs), or integro-differential equations (IDEs), and corresponding stochastic individual-based (IB) models. These models complement empirical research by enabling extrapolation beyond scenarios which can be investigated through experiments and by revealing emergent phenomena that would otherwise remain unobserved. Moreover, they pose a series of analytical and numerical challenges which make them interesting mathematical objects per se. I collaborate with researchers in the natural and social sciences. My current research interests include: nonlocal PDE and IB models of phenotypic evolution in cancer cell populations; nonlinear PDE and IB models of cancer invasion and metastasis formation; nonlocal PDE and IB models of spatial evolutionary games; nonlinear IDEs and PDEs arising in the mathematical modelling of populations structured by behavioural traits.

Short curriculum vitae
I completed my Ph.D. in Applied Mathematics in 2013 under the supervision of Marcello Delitala at the Politecnico di Torino. Upon completion of my Ph.D., I went on a research visit to Princeton University, where I worked in the group of Iain D. Couzin, before being awarded a postdoctoral research fellowship from the Fondation Sciences Mathématiques de Paris. This grant allowed me to carry out research for one year in the group of Benoît Perthame at the Université Pierre et Marie Curie. In 2014 I obtained a postdoctoral research fellowship from the Fondation Mathématique Jacques Hadamard, which I held in the group led by Laurent Desvillettes at the École Normale Supérieure de Cachan. Since October 2015, I have been a member of the research group of Mark A. J. Chaplain at the University of St Andrews.

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