Paul Lescot

Paul Lescot is a Professor at the University of Rouen Normandy, affiliated with the Raphaël Salem Mathematics Laboratory (UMR 6085 CNRS-University of Rouen Normandy). His office is located at M.2.24, floor 2, University Avenue, BP.12, F76801 Saint-Étienne-du-Rouvray, with contact email paul.lescot@univ-rouen.fr.

His research spans Group Theory, Stochastic Analysis, Partial Differential Equations, Algebra, and Mathematical Finance. Early work (1980s-1990s) focused on finite groups, including commutativity degrees, Thompson factorization, and CA-groups. From the 1990s onward, he expanded into stochastic analysis, studying Wiener functionals, fractional derivatives, and stochastic PDEs. Recent work (2010s-2020s) emphasizes symmetry analysis of PDEs in finance (Black-Scholes equation, interest rate models), Bernstein processes, and absolute algebra.

Analysis of his 15 most recent publications reveals a clear evolution: Group Theory foundations transitioned into Stochastic Analysis applications, with increasing focus on Mathematical Finance (40% of recent works) and Algebra (30%). Key trends include symmetry methods for financial PDEs, connections between stochastic processes and quantum mechanics, and structural algebraic theories like absolute algebra and semiring ideals.

Dr. Lescot has maintained active collaborations with prominent researchers including Michael Röckner, Jean-Claude Zambrini, Vladimir Bogachev, and Laurène Valade. His work appears in high-impact journals such as Journal of Pure and Applied Algebra, Communications in Partial Differential Equations, and Nagoya Mathematical Journal.

Based at the Raphaël Salem Mathematics Laboratory, he continues to contribute to both pure mathematics (group theory, algebra) and applied fields (stochastic finance, mathematical physics), with recent conference presentations including Verona (March 2019) and 2016.