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The Queen's College Record 2020

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and earlier Indo-European and Mesopotamian cultures. Other works that have<br />

appeared, or are about to, discuss Aristophanes’ handling of obscenity in the religious<br />

parts of his plays, narratology and emotion in Homer and honey in ancient Egyptian,<br />

Hittite and Greek religion. In the midst of this, the <strong>College</strong> very kindly allowed Almut<br />

Fries and me to get married in the Chapel, and all involved ensured this was a very<br />

agreeable occasion, despite the restrictions imposed.<br />

José A. Carrillo de la Plata (Mathematics)<br />

Reports and <strong>College</strong> Activities<br />

I recently joined Queen’s in April <strong>2020</strong>. My research<br />

in the 2019-20 academic year has followed my<br />

endeavours in the theoretical, numerical and applied<br />

side of Partial Differential Equations (PDE) in the<br />

sciences. <strong>The</strong>y constitute the basic language in which<br />

most of the laws in physics or engineering can be<br />

written and one of the most important mathematical<br />

tools for modelling in life and socio-economical<br />

sciences. I have been interested in long-time asymptotics, qualitative properties and<br />

numerical schemes for nonlinear diffusion, hydrodynamic, and kinetic equations. I<br />

have also worked in the modelling of collective behaviour of many-body systems with<br />

application in charged particles transport in a plasma cell movement by chemotaxis<br />

or cell sorting by adhesion forces.<br />

I received an ERC (European Research Council) Advanced Grant 2019 to develop<br />

my research in nonlocal PDEs for complex particle dynamics: phase transitions,<br />

patterns and synchronization. <strong>The</strong> proposed research is centred on developing tools<br />

underpinning the analysis of long time asymptotics, phase transitions, stability of<br />

patterns, consensus and clustering, and qualitative properties of collective behaviour<br />

models in terms of the analysis of their PDE descriptions. I will also focus on the<br />

important case of the Landau equation with applications in weakly nonlinear plasmas<br />

by means of the gradient flow techniques. In addition, I will showcase the developed<br />

tools in patterns and consensus by focusing on zebra fish patterning formation, as<br />

an example of spontaneous self-organisation processes in developmental biology,<br />

and grid cells for navigation in mammals, as prototype for the synchronization of<br />

neural networks.<br />

I have been elected as the head of the Mathematics Division of the European<br />

Academy of Sciences for the next two years; and I am the current Program Director of<br />

the SIAM Activity Group on Analysis of Partial Differential Equations. I gave a plenary<br />

lecture at the 2 nd SIAM/CAIM Annual Meeting and a Distinguished Lecture at the INS<br />

of the Shanghai Jiao Tong University.<br />

<strong>College</strong> <strong>Record</strong> <strong>2020</strong> | <strong>The</strong> Queen’s <strong>College</strong> 15

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