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.

I am pleased to support effective charities through Giving What We Can.

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, to appear in Journal of the London Mathematical Society
• 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
  Accepted version
  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:

• Generating the Fukaya categories of compact toric varieties
  arXiv, superseded by Superfiltered \(A_\infty\)-deformations... and work in progress

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 2021 I am lecturing Part III Differential Geometry. Course resources, including video lectures and example sheets, are available to registered students on the course Moodle page. The course will be similar, but not identical, to the one I gave last year.

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.