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:

• 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  arXiv, superseded by Superfiltered \(A_\infty\)-deformations...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 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.