# Prof. Alexander Ritter

Associate Professor in Geometry

The Roger Penrose Fellow and Tutor in Mathematics, Wadham College

2022-2023 on sabbatical leave at Stanford

University of Oxford

Andrew Wiles Building

Radcliffe Observatory Quarter

Woodstock Road

Oxford

OX2 6GG

Filtrations on equivariant quantum cohomology and Hilbert-Poincaré series, **arXiv:2410.17237**, 2024 (joint w/ Filip Živanović)

Filtrations on quantum cohomology via Morse-Bott-Floer Spectral Sequences, **arXiv:2304.14384v3**, 2023 (joint w/ Filip Živanović)

Filtrations on quantum cohomology from the Floer theory of C∗-actions, **arXiv:2304.13026v4**, 2023 (joint w/ Filip Živanović)

The McKay correspondence for isolated singularities via Floer theory, **Journal of Differential Geometry**, 2023 (joint w/ Mark McLean)

Invariance of symplectic cohomology and twisted cotangent bundles over surfaces, **International Journal of Mathematics**, 2020 (joint w/ Gabriele Benedetti)

The monotone wrapped Fukaya category and the open-closed string map, **Selecta Mathematica**, 2017 (joint w/ Ivan Smith).

Circle-actions, quantum cohomology, and the Fukaya category of Fano toric varieties, **Geometry and Topology**, 2016.

Floer theory for negative line bundles via Gromov-Witten invariants, **Advances in Mathematics**, 2014.

Topological quantum field theory structure on symplectic cohomology, **Journal of Topology**, 2013.

Deformations of symplectic cohomology and exact Lagrangians in ALE spaces, **GAFA**, 2010.

Novikov-symplectic cohomology and exact Lagrangian embeddings, **Geometry & Topology**, 2009.

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

MT2024: M2: Analysis I - Sequences and Series

MT2024: A0: Linear Algebra

HT2024: TCC: Morse homology, with a view towards Floer theory

MT2023: M2: Analysis I - Sequences and Series

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

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

2025-2028 **Principal Investigator**, EPSRC standard grant APP27697: **£806K**, 3-year grant, *Orbifold Floer cohomology and birational geometry*

2022-2023** Visiting Associate Professor of Mathematics**, Stanford University

2019 **Co-Investigator**, EPSRC standard grant EP/T012749/1: **£523K**, 3-year grant, PI: Dominic Joyce, Co-Investigator: Jason Lotay. *Bridgeland stability on Fukaya categories of Calabi–Yau 2–folds*

2009-2013 **Junior Research Fellowship**, Trinity College, Cambridge.

2007-2008 **Research Fellowshi**p, MIT.

2004-2006 **McCormick Fellowship**, University of Chicago.

2003 **Rouse Ball Prize**, Trinity College, Cambridge.

2003 **Heilbronn Prize**, Trinity College, Cambridge.

2002, 2023 **Senior Scholarship**, Trinity College, Cambridge.

2001 **Junior Scholarship**, Trinity College, Cambridge.