DUVAL Guillaume

GUILLAUME DUVAL is an Associate Professor of Mathematics at INSA Rouen, a member of the Laboratoire de Mathématiques de l'INSA de Rouen (LMI). His research focuses on integrability criteria for Hamiltonian systems using Differential Galois Theory, with collaborations including A. Maciejewski (Poland) and G. Casale. He teaches the STPI curriculum and has advised doctoral student Fernanda Urrea Castillo.

Education:

• PhD in Mathematics (2004-2005): Thesis on 'Action of Differential Galois Groups on Valuation Spaces' at Université Paul Sabatier, Toulouse, under Prof. Jean-Pierre Ramis.
• Agrégation de Mathématiques (1997-1998, Academy of Burgundy).
• DEA in Mathematics (1993-1994), Université Paris VII-XI.

Research Themes:

• Integrability of Hamiltonian systems via Differential Galois Theory.
• Algebraic and geometric analysis of chaotic dynamics (ergodic theory, number theory).
• Emergence of nonlinear differential Galois groups (Abelian varieties as symmetries).

Publications: Over 13 peer-reviewed articles in journals like Communications in Mathematical Physics, Discrete and Continuous Dynamical Systems, and Physics Letters A, emphasizing integrability criteria and differential Galois methods.

Awards: None explicitly listed, but active in international collaborations and conference participation (e.g., Bedlewo, Boston, Zaragoza).

Grants/Advising: Directing Fernanda Urrea Castillo's doctoral research. No grants specified in text.

Labs/Teams: Active member of LMI (Laboratoire de Mathématiques de l'INSA de Rouen).