From 2014-2024 I was a researcher in symplectic topology and mirror symmetry.  Below you can find links to my papers and to some talks and notes.

My thesis is available here and my arXiv papers can be found here.

Research papers

1. Quantum cohomology and Fukaya summands from monotone Lagrangian tori

   • Journal de l'École polytechnique — Mathématiques Tome 12 (2025), 287-318

   • arXiv

2. Improved stability for the size and structure of sumsets, with Andrew Granville and Aled Walker

   • To appear in Combinatorial Theory

   • arXiv

3. Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving

   • Advances in Geometry Volume 24, Issue 4, 505-506

   • arXiv

4. Hochschild cohomology of the Fukaya category via Floer cohomology with coefficients

   • Preprint, submitted

   • arXiv

5. Homological Lagrangian monodromy for some monotone tori, with Marcin Augustynowicz and Jakub Wornbard

   • To appear in Quantum Topology

   • arXiv

6. Superfiltered A-infinity deformations of the exterior algebra, and local mirror symmetry

   • J. London Math. Soc. Volume 105 (2022), 2203-2248

   • arXiv

   • Corrections

7. A monotone Lagrangian casebook

   • Algebr. Geom. Topol. 21 (2021), No. 5, 2273-2312 

   • arXiv 

8. Homological Berglund-Hübsch mirror symmetry for curve singularities, with Matthew Habermann

   • J. Symplectic Geom. Volume 18 (2020), No. 6, 1515-1574

   • arXiv

   • Corrections (thanks to Matt for these)

9. Monotone Lagrangians in CPⁿ of minimal Maslov number n+1, with Momchil Konstantinov

   • Math. Proc. Cambridge Philos. Soc. Volume 171, Issue 1, July 2021, 1-21

   • arXiv

10. Quantum cohomology and closed-string mirror symmetry for toric varieties

    • Q. J. Math. Volume 71, Issue 2, June 2020, 395–438

    • Accepted version (incorporating the corrections below)

    • arXiv

    • Corrections

11. Discrete and continuous symmetries in monotone Floer theory

    • Selecta Math. (N.S.) 26 (2020), No. 3, Paper No. 47, 65 pp.

    • arXiv 

12. Floer cohomology of Platonic Lagrangians

    • J. Symplectic Geom. Volume 17 (2019), No. 2, 477-601

    • arXiv (including Mathematica notebook)

Slides, videos, and notes

• From Floer to Hochschild via matrix factorisations, slides, video

• Homological Lagrangian monodromy for monotone tori, slides

• Towards Berglund-Hübsch mirror symmetry, slides, video

• RPⁿ-like Lagrangians in CPⁿ, slides

• Exterior algebras and local mirror symmetry, slides

• K-theory, graduate course lecture notes