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:

• Generating the Fukaya categories of compact toric varieties
  arXiv:1804.06386, superseded by arXiv:1910.01096 and work in progress.

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.