Prof. Alexander Ritter
Associate Professor in Geometry
The Roger Penrose Fellow and Tutor in Mathematics, Wadham College
2022-2023 on sabbatical leave at Stanford
- Geometry
- Geometry and Representation Theory
- Homological Mirror Symmetry
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Symplectic topology, Homological Mirror Symmetry, Floer theory, Gromov-Witten theory.
Novikov-symplectic cohomology and exact Lagrangian embeddings, Geometry & Topology 2009.
Deformations of symplectic cohomology and exact Lagrangians in ALE spaces, GAFA 2010.
Topological quantum field theory structure on symplectic cohomology, Journal of Topology 2013.
Floer theory for negative line bundles via Gromov-Witten invariants, Advances in Mathematics 2014.
Circle-actions, quantum cohomology, and the Fukaya category of Fano toric varieties, Geometry and Topology 2016.
The monotone wrapped Fukaya category and the open-closed string map, Selecta Mathematica 2017 (joint work with Ivan Smith).
Invariance of symplectic cohomology and twisted cotangent bundles over surfaces, International Journal of Mathematics, 2020 (joint work with Gabriele Benedetti)
The McKay correspondence for isolated singularities via Floer theory, Journal of Differential Geometry, to appear 2023 (joint work with Mark McLean)
Symplectic C*-manifolds I: Filtration on Quantum Cohomology, 2023 (joint work with Filip Živanović)
Symplectic C*-manifolds II: Morse-Bott-Floer Spectral Sequences, 2023 (joint work with Filip Živanović)
Wadham College, Parks Road, Oxford OX1 3PN, England.
2009-2013 Junior Research Fellow, Trinity College, Cambridge.
2019 Co-Investigator on the EPSRC standard grant EP/T012749/1: 3-year grant, £643K, PI: Dominic Joyce, Co-Investigator: Jason Lotay.
2022-2023 Visiting Associate Professor of Mathematics, Stanford University
HT2022: C2.6 Introduction to Schemes
MT2021: C3.1 Algebraic Topology
HT2021: C2.6 Introduction to Schemes
MT2020: C3.1 Algebraic Topology
HT2020: C2.6 Introduction to Schemes
MT2019: C3.1 Algebraic Topology
MT2018: C3.4 Algebraic Geometry
MT2018: B3.2 Geometry of Surfaces
MT2017: C3.4 Algebraic Geometry
MT2017: B3.2 Geometry of Surfaces
MT2016: C3.4 Algebraic Geometry
MT2016: B3a Geometry of Surfaces
MT2015: C3.4 Algebraic Geometry
MT2015: B3a Geometry of Surfaces
HT2015: C3.4b Lie Groups
MT2014: B3a Geometry of Surfaces
Summer 2014: Lectures on Geometry, Topology, and Penrose Tilings (Oxford Masterclasses)
HT2014: C3.4b Lie Groups
MT2013: Graduate Course, Morse Homology
HT2013: C3.4b Lie Groups