معرفی
Professor Ivan Smith is a Professor of Geometry in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge, where he is affiliated with the Faculty of Mathematics. His office is located in room C1.02, and he can be reached at I.Smith@dpmms.cam.ac.uk or by telephone at 01223 337947. He leads research in the Differential Geometry & Topology group and is organizing the upcoming conference "Floer theory beyond Floer" scheduled for March 23-27, 2026.
Professor Smith's primary research interests lie in Symplectic Topology and Floer theory, with significant contributions to the understanding of Lagrangian submanifolds, mirror symmetry, and the topology of symplectic manifolds. His work bridges deep connections between algebraic geometry, geometric topology, and mathematical physics, particularly through the lens of homological mirror symmetry. He has developed novel approaches to studying symplectic structures using techniques from category theory, algebraic geometry, and low-dimensional topology.
An analysis of Professor Smith's recent publications reveals a consistent focus on advancing Floer-theoretic methods and their applications to geometric problems. His work demonstrates increasing sophistication in handling higher-dimensional symplectic structures while maintaining connections to classical problems in 4-manifold topology. A notable trend is the growing integration of homotopy-theoretic methods with traditional symplectic techniques, as evidenced by his work on Morava K-theories and Gromov-Witten invariants. His research continues to explore the deep relationships between symplectic geometry and algebraic structures, with applications spanning from low-dimensional topology to string theory.
Professor Smith has an extensive publication record spanning over two decades, with significant contributions across multiple areas of geometric topology. His work has appeared in top mathematical journals including Inventiones Mathematicae, Journal of the American Mathematical Society, and Geometry & Topology.
As a supervisor and collaborator, Professor Smith has worked with numerous prominent mathematicians including Paul Seidel, Nick Sheridan, Mohammed Abouzaid, and Tom Bridgeland. His research has been supported by various grants that enabled extensive collaborations and the organization of specialized workshops in symplectic geometry.
Professor Smith is an active member of the Differential Geometry & Topology research group within DPMMS, where he contributes to the vibrant research environment through seminars, supervision of graduate students, and collaborative projects. His upcoming conference "Floer theory beyond Floer" in March 2026 indicates his continued leadership in advancing the field and fostering new developments in symplectic topology.
