معرفی
Christine Vespa is a Professor at Aix-Marseille Université affiliated with the Institute of Mathematics (I2M) in Marseille. Her research lies at the intersection of Algebra, Algebraic Topology, and Category Theory, focusing on polynomial functors, functor homology, and stable homology of group families.
Education
- Habilitation à diriger des recherches (HDR), Université de Strasbourg, 2013. Thesis: Foncteurs polynomiaux et homologie stable à coefficients polynomiaux. Jury: William Dwyer, Vincent Franjou, Hans-Werner Henn, Nick Kuhn, Birgit Richter, Lionel Schwartz.
- Doctorat en Mathématiques, Université Paris 13, 2005. Thesis: La catégorie F_quad des foncteurs de Mackey généralisés pour les formes quadratiques sur F2. Director: Lionel Schwartz.
Research Interests
Her work explores structural properties of polynomial functors and their applications in homology stability. She connects abstract category-theoretic frameworks with concrete algebraic and topological problems, such as stable homology for automorphism groups of free groups and orthogonal groups. Recent preprints address PROP structures, analytic exponential functors, and Jacobi diagrams, highlighting her engagement with algebraic topology and category theory.
Article Trends
Christine Vespa's publications and preprints emphasize algebraic topology and category theory. Recent trends include analyzing partition PROPs, exponential functors, and Jacobi diagrams in the context of stable homology. Earlier works delve into Hochschild homology, automorphism groups, and generalized Mackey functors, showcasing her contributions to homological algebra and representation theory.
Advising
- Antoine Feltz (2020–2024): Foncteurs polynomiaux sur les catégories FI_d.
- Arthur Soulié (2015–2018): Foncteurs de Long-Moody et homologie stable des groupes de difféotopie.
- Andrea Cesaro (2012–2016): Pre-Lie algebras and operads in positive characteristic, co-supervised with Benoit Fresse.
Labs & Teams
She is a member of the Analyse, Géométrie, Topologie research group at I2M. She has organized academic events, including the 2014 Strasbourg workshop on Mac Lane's cubic construction and the 2015 Strasbourg Masterclass on Topological K-theory.
