Prof. Alexander Ritter

PhD (MIT 2009)

Status

Academic Faculty

Associate Professor in Geometry

The Roger Penrose Fellow and Tutor in Mathematics, Wadham College

2022-2023 on sabbatical leave at Stanford

Contact form

http://people.maths.ox.ac.uk/ritter/

+44 1865 273556

ORCID iD

https://orcid.org/0000-0001-8286-7887

Research groups

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

Highlighted publications

Invariance of symplectic cohomology and twisted cotangent bundles over surfaces

Benedetti, G Ritter, A International Journal of Mathematics volume 31 issue 9 (30 Jul 2020)

Circle-actions, quantum cohomology, and the Fukaya category of Fano toric varieties

Ritter, A Geometry and Topology volume 20 issue 4 1941-2052 (15 Sep 2016)

The monotone wrapped Fukaya category and the open-closed string map

Ritter, A Smith, I Selecta Mathematica volume 23 issue 1 533-642 (09 Aug 2016)

Floer theory for negative line bundles via Gromov-Witten invariants

Ritter, A Advances in Mathematics volume 262 1035-1106 (10 Sep 2014)

Topological quantum field theory structure on symplectic cohomology

Ritter, A Journal of Topology volume 6 issue 2 391-489 (17 Jan 2013)

Deformations of symplectic cohomology and exact Lagrangians in ALE spaces

Ritter, A Geometric and Functional Analysis volume 20 issue 3 779-816 (01 Sep 2010)

Novikov-symplectic cohomology and exact Lagrangian embeddings

Ritter, A Geometry and Topology volume 13 issue 2 943-978 (08 Jan 2009)

The McKay correspondence for isolated singularities via Floer theory

McLean, M Ritter, A Journal of Differential Geometry

Research interests

Symplectic topology, Homological Mirror Symmetry, Floer theory, Gromov-Witten theory.

Major / recent publications

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)

Preferred address

Wadham College, Parks Road, Oxford OX1 3PN, England.

Prizes, awards, and scholarships

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

Teaching

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