David Poyato is an Associate Professor at the Department of Applied Mathematics of the University of Granada (UGR). His academic path began with a BSc in Mathematics and a MSc in Physics and Mathematics at the UGR. After completing his PhD under the advice of Prof. Juan Soler at the UGR, he held postdoctoral positions at Université Claude Bernard Lyon 1 (France) funded by two ERC projects led by Prof. Vincent Calvez (MESOPROBIO and WACONDY), and later at the UGR through a MSCA postdoctoral fellowship (HICODY). 

His research lies at the interface of Partial Differential Equations, Probability and Mathematical Modeling. More particularly, his research focuses on the rigorous analysis of nonlinear and nonlocal integro-differential equations with applications in Physics and Biology. Special attention is given to kinetic PDEs inspired in Collective Dynamics, fluid type PDEs inspired in Fluid Mechanics, and also other type of integro-differential equations arising in Evolutionary Dynamics. These models usually combine complex transport, interaction, and diffusion mechanisms, and the research of David Poyato usually studies address fundamental questions on stability, well-posedness, long-time behavior, and scaling limits of these models, connecting the microscopic and macroscopic scales through techniques inspired in Statistical Mechanics. His work, developed in collaboration with an extensive international network (Lyon, Seoul, Penn State, Maryland, Warsaw, Paris, Madrid, etc), has triggered numerous high-impact publications in top-tier journals and has been recognized through numerous citations, invited talks, and participation in competitive European (ERC and MSCA), national and regional research projects.

 

Currently, the teaching activities of David Poyato mainly focus on the Biology BSc degrees, the Civil Engineering BSc degree, and also in the Physics and Mathematics MSc degree of the UGR, where he teaches mathematical modeling of collective dynamics and other mechanisms in biomathematics at the post-graduate level. He has coorganized several workshops and conferences, in particular the BIOMAT summer schools since 2016.