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Tilmann Wurzbacher is a Professor at the University of Lorraine, affiliated with the Department of Mathematics, Computer Science, and Mechanics. His research focuses on geometric methods in mathematical physics, including multisymplectic geometry, supermanifolds, complex Kähler manifolds, and infinite-dimensional analysis. He has contributed to the development of multisymplectic structures for classical field theories and collaborates on foundational questions in supergeometry. His recent publications emphasize multisymplectic geometry, supermanifolds, and infinite-dimensional structures, with applications to geometric quantization, conservation laws, and Hamiltonian systems. He has co-authored works on co-moments, Lagrangian submanifolds, and singular superspaces. Wurzbacher actively organizes seminars and workshops, including the weekly LieGA seminar and international workshops on multisymplectic geometry. He participates in CNRS-funded networks such as the 80Prime Project "GraNum" and the GDGR "GDM".

• Geometric Methods in Mathematical Physics
• Differential Geometry
• Multisymplectic Geometry
• +4 more

Hugues Auvray is an Associate Professor at Université Paris-Sud, affiliated with the Laboratoire de Mathématiques d'Orsay. His primary research focuses on Kähler geometry, particularly the complex Monge-Ampère equation and canonical metrics on non-compact manifolds. He completed his PhD under the supervision of Olivier Biquard, exploring topics like gravitational instantons and Poincaré-type metrics. Auvray has held positions including a postdoc at the Max Planck Institute for Mathematics and a visiting scholar at the CRM in Montréal. His teaching responsibilities include advanced courses in complex analysis and geometry, as well as supervision of graduate students. Notable contributions include work on Bergman kernels on punctured Riemann surfaces and extremal Kähler metrics on toric varieties. Collaborators include leading figures such as Xiaonan Ma, George Marinescu, and Vestislav Apostolov. Auvray actively participates in research projects like ANR GRACK and EMARKS, and has organized conferences such as the CIRM workshop on Constant Scalar Curvature Metrics. His research bridges geometric analysis with complex algebraic geometry, addressing both foundational and applied aspects of metric geometry.

• Kähler Geometry
• Complex Geometry
• Differential Geometry
• +3 more

Tilmann Wurzbach is a Full Professor at the University of Lorraine, affiliated with the UFR Mathematics, Computer Science, and Mechanics department. His research focuses on geometric methods in physical mathematics, particularly multisymplectic geometry, symplectic manifolds, and infinite-dimensional manifolds. He collaborates with colleagues like Alexander Alldridge, Joachim Hilgert, and Marco Zambon on projects involving supergeometry and classical field theory. Research Groups: Analysis and Number Theory Keywords: Multisymplectic manifolds, supervarieties, Kaehler manifolds, geometric quantization, infinite-dimensional geometry. He has organized several seminars and workshops, including the LieGA Seminar and the Multisymplectic Geometry Workshop in Metz (2018) and Leuven (2020). He is involved in CNRS projects such as GraNum and GDM.

• Multisymplectic Geometry
• Symplectic Manifolds
• Geometric Quantization
• +5 more

Gianluca Pacienza is a Professor at the Institut Élie Cartan de Lorraine (IECL) , Université de Lorraine, and leads the Geometry team. His research focuses on algebraic and birational geometry of complex varieties, particularly irreducible holomorphic symplectic (IHS) varieties, moduli spaces, and hyperbolicity. He actively collaborates with institutions like the Simons Center and Università di Roma. Education: PhD in Mathematics (2001) from Université Pierre et Marie Curie (advisor: Claire Voisin); postdoctoral research at Ohio State University and La Sapienza di Roma. Research Trends: Recent work addresses cone conjectures for IHS and Enriques manifolds, Zariski density of rational curves, deformations of symplectic varieties, and Noether-Lefschetz loci. His studies intersect birational geometry, minimal model program (MMP), and geometric hyperbolicity. Academic Leadership: Pacienza coordinates the ANR-DFG project 'Positivity on K-trivial varieties' and co-leads a double degree program with Université Libanaise. He advises current PhD students Raphael Hiault and Aurélien Faucher, building on a legacy of mentoring graduates like Enrica Floris and Giosuè Muratore.

• Algebraic geometry
• Birational geometry
• Hyperbolicity of complex varieties
• +3 more

Alessandra Sarti is a Professor and Deputy Scientific Director of INSMI at the University of Poitiers, affiliated with the Mathematics and Applications Laboratory (UMR 7348 of the CNRS). Her research focuses on complex algebraic geometry, particularly holomorphic symplectic manifolds, K3 surfaces, Enriques manifolds, and automorphisms. She earned her Laurea (DEA) from the University of Ferrara (1997), a PhD from the University of Erlangen (2001), and completed her Habilitation at the University of Mainz (2007). Her work explores geometric structures, symmetry properties, and classification problems in algebraic varieties, with applications to mirror symmetry and elliptic fibrations. Recent publications emphasize K3 surfaces, automorphism groups, and derived geometric invariants, reflecting collaborations across Europe and Asia. She actively advises PhD students and postdoctoral researchers, contributing to projects like the ANR Positivity on K-trivial Varieties (POKO) and ANR Symmetries and moduli spaces in algebraic geometry and physics (SMAGP).

• Algebraic Geometry
• Complex Geometry
• Holomorphic Symplectic Manifolds
• +7 more

Claire Voisin is a Professor at the Collège de France , holding the Algebraic Geometry Chair since 2015. Her work bridges algebraic geometry, complex geometry, and topology through the lens of Hodge theory , with a focus on hyper-Kählerian varieties and infinitesimal variations of Hodge structures . Academic Affiliations : Collège de France (2015–present), École polytechnique (2012–2014, part-time), Institut de Mathématiques de Jussieu (1995–2007), CNRS (1986–2007) Research Themes : Topology of algebraic varieties, K3 surfaces, abelian varieties, Torelli theorems, Jacobian rings, and connections to Shimura varieties. Key awards include the CNRS Gold Medal (2016) , Shaw Prize (2017) , and L'Oréal-UNESCO International Award for Women in Science (2019) . Her lectures emphasize the interplay between algebraic cycles, period mappings, and geometric structures. Scientific Contributions : Proof of unobstructed deformations for Kähler varieties with trivial canonical bundles Advances in generic Torelli theorems via infinitesimal Hodge variations Study of intermediate Jacobian fibrations and 4-dimensional cubics

• Algebraic Geometry
• Hodge Theory
• Complex Geometry
• +3 more

François Charles is a Lecturer (Maître de conférences) in the Department of Mathematics (DMA) at École normale supérieure, Université Paris-Saclay, and serves as the Editor-in-Chief of the Journal of the École Polytechnique. Education: PhD defended on 6 April 2010 under the supervision of Claire Voisin, Université Paris-Sud (Orsay). Habilitation à diriger des recherches (HDR) defended on 6 December 2013 at Université Paris-Sud (Orsay). Research Interests Charles’s work lies at the intersection of algebraic and arithmetic geometry. A central theme is the study of K3 surfaces and higher-dimensional holomorphic symplectic varieties , with particular emphasis on the Tate conjecture , the Standard Conjectures , and questions of birational boundedness . He has made important contributions to the theory of algebraic cycles , especially codimension-2 cycles over number fields, and has explored Hodge-theoretic aspects of complex tori and hyperkähler manifolds. His recent work investigates families of rational curves on symplectic varieties and their implications for 0-cycles. Scientific Awards & Recognition Bourbaki Seminar speaker on “Stability conditions and birational geometry” (2017–2018). Bourbaki Seminar speaker on “Recent progress on normal functions” (2012–2013). Advising & Grants Charles has directed or co-directed four PhD students—Salim Tayou (2016-2019), Xiaozong Wang (2017-2020), Dorian Ni (2019-2022), and Louise Nataf (2024-2025)—and hosted two post-docs supported by an ERC grant: Joseph Gunther (2018-2020) and Renée Bell (2019-2020). Laboratory & Research Environment He is a permanent member of the Orsay Mathematics Laboratory (LMO) and carries out research within the DMA-ENS, a world-leading center for pure mathematics located at 45 rue d’Ulm in Paris.

• Arithmetic Geometry
• Algebraic Geometry
• K3 Surfaces
• +5 more