G. Poly defended his Ph.D. in 2011 at Ecole nationale des ponts et chaussées, under the supervision of N. Bouleau, in the domain of Dirichlet forms and potential analysis. During 2 years of post-doc, he broadened his research scope, at Université du Luxembourg, in the team of G. Peccati by working on Malliavin calculus and Stein’s method. Since Fall 2014, he is maître de conférences (assistant professor) at Université de Rennes 1. This fresh permanent position is the perfect opportunity for him to begin long and very ambitious projects. It is also the right time to endorse more responsibilities, organize events and interact with researchers working on thriving domains.
Since 2010, Jürgen Angst is maître de conférences at the Université de Rennes 1. Appart from his recent interest in random nodal domains, his main research area lies between probability theory, differential geometry and mathematical physics. It consists in studying the links between the geometry of pseudo-Riemannian manifolds, especially Lorentzian manifolds, and the behavior of random curves drawn on these manifolds. He therefore has a strong background in probability theory as well as in differential geometry, harmonic analysis and mathematical physics. Thanks to his geographical proximity with G. Poly, their collaboration will be particularly active.
Since 2012, R. Imekraz is maître
de conférences at the University
of Bordeaux. His first research interest deals with partial
differential equations and more precisely with the long time
existence for solutions to Klein-Gordon or Schrödinger equations. Since
2015, he are also interested in the connection between
mathematical physics, e.g. the use of probabilistic methods to exhibit
Hilbert basis that display unexpected behaviors. his main point
of interest in this project is the
extension of classical theorems known for explicit Laplacian
eigenfunctions on the torus to other linear models
whose eigenfunctions are not explicit (Riemannian compact manifolds or
Thomas Letendre is post-doc at Sorbonne University, Paris. In November 2016, he defended his thesis whose subject is the geometry and topology of random sub-manifolds, both in a Riemannian setting and in a real algebraic one. He is also familiar with a related model of complex random algebraic sub-manifolds in a polarized Kähler manifold as well as the theory of Hörmander's peak sections. One of his interests lies in the relation between the geometry of random sub-manifolds and that of the ambient space. He has a strong background in Riemannian and smooth algebraic geometry, both real and complex, as well as probability theory.
Maurizia Rossi is Assistant Professor at University of Pisa. Before that, she was post-doc at Université Paris-Descartes and Research Associate in the probability group of G. Peccati at the University of Luxembourg. She received her Ph.D. in mathematics from the University of Rome Tor Vergata in November 2015, defending the thesis ''The geometry of spherical random fields'' under the supervision of P. Baldi and D. Marinucci. She is mainly interested in probability theory and its interactions with other disciplines, such as geometry, algebra and analysis. Her main research topics concern the geometry of random eigenfunctions on Riemannian manifolds, properties of invariant random fields on algebraic structures, large deviations for diffusion processes and applications, and probabilistic approximations.
Here are some pictures of simulations of
random nodal domains.
Click on the images to make them bigger
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