Alexander Ritter is a Professor of Mathematics at the University of Oxford, affiliated with the Mathematical Institute and Wadham College. Holding a PhD from MIT (2009), he maintains active research and teaching roles, including Michaelmas 2025 Linear Algebra instruction. Education PhD, Massachusetts Institute of Technology (MIT), 2009 Research Focus Professor Ritter specializes in symplectic topology, homological mirror symmetry, Floer theory, and Gromov-Witten theory. His work bridges symplectic geometry with algebraic geometry through quantum cohomology invariants, Fukaya categories, and spectral sequence techniques. Key innovations include filtrations on quantum cohomology using C*-actions and Morse-Bott-Floer theory to analyze semiprojective toric manifolds and singularities. Publication Evolution Recent publications (2023-2025) reveal intensified collaboration with Filip Živanović on quantum cohomology filtrations, yielding eight joint papers. This work integrates Hilbert-Poincaré series, equivariant cohomology, and McKay correspondence applications, demonstrating progression from foundational symplectic cohomology (2009-2013) toward geometric topology and birational geometry implications. Honors and Recognition Junior Research Fellowship, Trinity College, Cambridge (2009-2013) Research Fellowship, MIT (2007-2008) McCormick Fellowship, University of Chicago (2004-2006) Rouse Ball Prize & Heilbronn Prize, Trinity College, Cambridge (2003) Senior/Junior Scholarships, Trinity College, Cambridge (2001-2002, 2023) Research Funding As Principal Investigator for EPSRC grant EP/Z535977/1 (2025-2028; £806K), he leads research on "Orbifold Floer cohomology and birational geometry." Previously, he served as Co-Investigator with Dominic Joyce on EPSRC grant EP/T012749/1 (2019; £653K) exploring Bridgeland stability in Fukaya categories of Calabi–Yau 2–folds. Academic Environment Based in Oxford's Geometry research group, Ritter collaborates extensively within symplectic topology networks. His 2022-2023 Visiting Associate Professorship at Stanford University underscores international recognition, while consistent teaching of advanced courses (e.g., Morse homology, Algebraic Topology) reflects commitment to graduate education.




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