Jack Smith
I am a College Associate Lecturer, and the Director of Studies in Pure Mathematics, at St John's College, Cambridge. I am also an Affiliated Lecturer in the Department of Pure Mathematics and Mathematical Statistics.
Previously I was a visiting researcher at the Fields Institute, Toronto, a postdoc at University College London, and a PhD student of Ivan Smith.
Here you can find my thesis, me on arXiv, and my department profile page.
I can be contacted by email at j.smith AT dpmms.cam.ac.uk.
Research
My main interests are in mirror symmetry and in interactions between algebra and Floer theory.
Published and submitted papers:
- Superfiltered \(A_\infty\)-deformations of the exterior algebra, and local mirror symmetry
arXiv, submitted
- A monotone Lagrangian casebook
arXiv, to appear in Algebraic and Geometric Topology
- Homological Berglund–Hübsch mirror symmetry for curve singularities
Joint with Matthew Habermann
J. Symplectic Geom. Volume 18 (2020), no. 6, 1515-1574
arXiv
- Monotone Lagrangians in \(\mathbb{CP}^n\) of minimal Maslov number \(n+1\)
Joint with Momchil Konstantinov
Math. Proc. Cambridge Philos. Soc. Volume 171, Issue 1, July 2021, 1-21
arXiv
- Quantum cohomology and closed-string mirror symmetry for toric varieties
Q. J. Math., Volume 71, Issue 2, June 2020, 395–438
arXiv
- Discrete and continuous symmetries in monotone Floer theory
Selecta Math. (N.S.) 26 (2020), no. 3, Paper No. 47, 65 pp.
arXiv
- Floer cohomology of Platonic Lagrangians
J. Symplectic Geom. Volume 17 (2019), no. 2, 477-601
arXiv (including Mathematica notebook)
Unsubmitted preprints:
Talk slides and videos:
- Towards Berglund–Hübsch mirror symmetry slides/video
- \(\mathbb{RP}^n\)-like Lagrangians in \(\mathbb{CP}^n\) slides
- Exterior algebras and local mirror symmetry slides
Teaching
In Michaelmas 2020 I lectured Part III Differential Geometry. Course resources, including video lectures and example sheets, are available to registered students on the course Moodle page.
In June 2018 I gave a short lecture course on K-theory to PhD students at the London School of Geometry and Number Theory. Expanded notes are availble here.