Gioia Maria Vago

Gioia Maria Vago is a Lecturer at the University of Burgundy, affiliated with the Institute of Mathematics of Burgundy (IMB) and the research team Geometry, Algebra, Dynamics and Topology. She holds a Habilitation à Diriger des Recherches (HDR) (2013) and a PhD in Mathematics (1998) under the supervision of Christian Bonatti.

• Research Focus: Topological, algebraic, combinatorial, and algorithmic aspects of discrete and continuous dynamical systems, including hyperbolic dynamics, Morse flows, cellular automata, and aperiodic tilings.
• Teaching: Diversified instruction in Mathematics, Computer Science, and Mathematics-Computer Science for audiences ranging from mathematicians to biologists, including courses on Discrete Mathematics, Graph Theory, Unix/Linux, programming, and statistical software (R, Maple, Statistica).
• Students: Co-directed PhD thesis of Abdelrazak Jmel (2013) and supervised post-doc Maria Alice Bertolim (2004-2005) under a French Ministry fellowship.
• Notable Collaborations: Work with Michel Boileau on three-dimensional Ogasa invariants, and with Alain Jacquemard on computational biology projects (allosteric regulation models).
• Software Achievements: Developed Maple programs for unstable manifold conjugacy analysis and VBA tools for biochemical data optimization.

Scientific Awards:

• HDR in Mathematics (2013)
• PhD Thesis with Mention Très Honorable et Félicitations du Jury (1998)
• French Ministry Postdoctoral Fellowship for Maria Alice Bertolim (2004-2005)

Research Trends: Her work bridges topological complexity (e.g., Ogasa invariant) with combinatorial and algorithmic methods, particularly in high-dimensional dynamics (2008 paper on diffeomorphism centralizers) and low-dimensional systems (1999-2001 papers on hyperbolic manifolds).