Postdoctoral researcher in mathematics
CAMS (EHESS), Paris, France
I am currently a postdoctoral fellow at CAMS (EHESS) in Paris, France, mentored by Henri Berestycki.
Mail: julien.brasseur [at] ehess [dot] fr
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My work revolves around three lines of research. A first direction is concerned with mathematical biology. Roughly speaking, I use the language of reaction-diffusion equations, essentially nonlocal ones, to understand the phenomena governing the dynamics of biological species and their interaction with the environment. A second aspect of my work is concerned with more abstract questions, essentially related to functional analysis and function space theory. I am interested in questions such as compactness properties and trace type results within the context of low regularity function spaces, most notably Besov spaces. The last aspect of my work is concerned with the calculus of variations. I am typically interested in optimizers and stable solutions to nonlinear functionals coming from either physics or biology.
I did my PhD in co-tutelle between the University of Aix-Marseille (France) and the University of Milan (Italy), under the supervision of Jérôme Coville, François Hamel and Enrico Valdinoci. Part of my PhD was done at the mathematics department (BioSP) of the French National Institute of Agricultural Research (INRA) in Avignon, France.