Jack Smith
I am a College Associate Lecturer at St John's College, Cambridge, where I am also Director of Studies in Pure Mathematics.
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:1910.01096, submitted.
- A monotone Lagrangian casebook
arXiv:1905.04005, submitted.
- Homological Berglund–Hübsch mirror symmetry for curve singularities
Joint with Matthew Habermann
arXiv:1903.01351, to appear in J. Symplectic Geom.
- Monotone Lagrangians in \(\mathbb{CP}^n\) of minimal Maslov number \(n+1\)
Joint with Momchil Konstantinov
arXiv:1810.00833, to appear in Math. Proc. Cambridge Philos. Soc.
- Quantum cohomology and closed-string mirror symmetry for toric varieties
arXiv:1802.00424, to appear in Q. J. Math. The journal version, which clarifies and updates aspects of the arXiv version, is here.
- Discrete and continuous symmetries in monotone Floer theory
arXiv:1703.05343, submitted.
- Floer cohomology of Platonic Lagrangians
J. Symplectic Geom. 17 (2019), no. 2, 477-601
arXiv:1510.08031 (including Mathematica notebook).
Unsubmitted preprints:
Talks:
- 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 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.