Mirko Mauri

Mirko Mauri is a Junior CNRS Professor at the Institute of Mathematics of Jussieu-Paris Rive Gauche, University of Paris Cite. Previously, he held positions as Professor Monge at École polytechnique, group leader of the Junior Trimester Term on Algebraic geometry at the Hausdorff Institute for Mathematics in Bonn, IST-BRIDGE and Marie Skłodowska-Curie postdoctoral fellow at ISTA in Hausel group, Postdoctoral Assistant Professor at University of Michigan, and Postdoctoral Fellow at Max Planck Institute for Mathematics in Bonn.

Mauri obtained his PhD in Mathematics at Imperial College London as a member of the London School of Geometry and Number Theory, under the supervision of Paolo Cascini. His doctoral thesis was titled "The geometry of dual complexes."

Mirko Mauri's research focuses on several interconnected areas of algebraic geometry and related fields. His primary interests include birational geometry, where he investigates properties of algebraic varieties through birational transformations; non-abelian Hodge theory, particularly the P=W conjecture which connects topology of character varieties with Hodge theory of moduli spaces; and the study of holomorphic symplectic varieties including hyperkähler manifolds and their Lagrangian fibrations. He also works on dual complexes associated with log Calabi-Yau pairs, non-archimedean geometry with applications to essential skeletons, and symplectic topology focusing on Lagrangian fibrations and mirror symmetry phenomena.

An analysis of Mauri's recent publications reveals a strong focus on the interplay between birational geometry, Hodge theory, and symplectic structures. His work frequently centers on the P=W conjecture and its geometric implications, the structure of dual complexes in birational geometry, and the study of hyperkähler manifolds and their degenerations. Many of his papers bridge multiple areas, demonstrating how techniques from one field can illuminate problems in another, particularly the connections between algebraic geometry, topology, and non-archimedean geometry.

Mauri has organized several significant workshops and reading groups, including the "Higher-dimensional log Calabi–Yau pairs" workshop at the American Institute of Mathematics (2024), the "New advances on the Dolbeault moduli spaces" workshop at École polytechnique (2024), and the "Birational workshop" at the Hausdorff Institute for Mathematics in Bonn (2023). He has also organized reading groups on topics such as the Tate-Shafarevich group, degeneration of hyperkähler varieties, and the geometric Langlands conjecture.