2024 André Lichenerowicz Prize Recipient
The Department of Mathematics and Statistics is pleased to announce that Dr. Francis Bischoff has been awarded the André Lichnerowicz Prize in Poisson geometry! Established in 2008, this prize is awarded biannually at the International Conference on Poisson Geometry in Mathematics and Physics to researchers who have completed their doctorates at most eight years before the year of the conference and who have notably contributed to the field of Poisson geometry.
Dr. Bischoff is awarded the 2024 Lichnerowicz Prize for his work on generalized geometry, "Morita equivalence and the generalized Kähler potential", and "Brane quantization of toric Poisson varieties", which employ tools from Poisson geometry, such as symplectic Morita equivalence of symplectic groupoids, to improve the understanding of generalized Kähler metrics and their strict quantizations. His work on logarithmic connections on complex manifolds "Lie groupoids and logarithmic connections", "Normal forms and moduli stacks for logarithmic flat connections", "The derived moduli stack of logarithmic flat connections" and "Castling equivalence for logarithmic flat connections" uses tools from Lie groupoid theory to significantly improve our understanding of the moduli stack of logarithmic flat connections and its shifted Poisson geometry.
Most recently, his joint work with Á. del Pino and A. Witte on the \(b^k\)-algebroids in Poisson geometry involves applying the Riemann-Hilbert correspondence to gain an understanding of the ways in which certain geometric structures can degenerate along a hypersurface in a manifold. One interesting result in their work is a novel method for constructing new examples of Poisson brackets with prescribed degeneration by deforming them along a path of flat connections.
Congratulations, Dr. Bischoff, on this well-deserved achievement!
For more information about Dr. Bischoff’s research, visit his website