Matthew Habermann

I am a mathematician, primarily interested in symplectic topology and its interactions with algebraic geometry, representation theory and low-dimensional topology.

I am currently a Senior Research Associate and EPSRC Fellow at Lancaster University, a position I have held since February 2025. Until October 2024, I was a postdoc at the Quantum Universe Cluster of Excellence at the University of Hamburg. Before this, I was a PhD student in London at the London school of geometry and number theory (LSGNT), where my advisor was Yankı Lekili.

A complete CV (where you can also find my email address) is available here, and my Google Scholar profile here.

Publications and preprints

Homological Berglund-Hübsch-Henningson mirror symmetry for curve singularities, Math. Proc. Camb. Phil. Soc., Volume 178 (2025), Issue 3, pp. 385 - 442
Homological mirror symmetry for nodal stacky curves. Math. Res. Lett. Volume 32 (2025) Number 1, pp. 177-237
Homological mirror symmetry for invertible polynomials in two variables. Quantum Topol. 13 (2022), no. 2, pp. 207–253. arXiv
Homological Berglund-Hübsch mirror symmetry for curve singularities, joint with Jack Smith. J. Symplectic Geom. Volume 18 (2020), no. 6, 1515-1574. arXiv

Other

Homological mirror symmetry for invertible curve singularities. My PhD thesis. All results are contained in the first three papers above, and the official version can be found here.
Gauge construction and the Yang--Mills heat flow over real four-manifolds. My Honour's thesis (which is entirely expository), written in 2016 at the University of Queensland under the supervision of Huy The Nguyen.