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 interdisciplinary, with cell biologists, immunologists and evolutionary biologists. My current research interests include: nonlocal PDE and IB models of phenotypic evolution in cancer cell populations; nonlinear PDE and IB models of avascular tumour growth and collective cancer cell invasion; 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 PhD in Applied Mathematics in 2013 under the supervision of Professor Marcello Delitala at the Politecnico di Torino. Upon completion of my PhD, I went on a research visit to Princeton University, where I worked in the group of Professor 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 Professor 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 Professor Laurent Desvillettes at the École Normale Supérieure de Cachan. Since October 2015, I have been a member of the research group of Professor Mark A. J. Chaplain at the University of St Andrews.

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