David Miyamoto

Max Planck Institute for Mathematics (MPIM)
email: miyamoto@mpim-bonn.mpg.de
me, standing in front of blackboard
Speaking at Toronto's symplectic seminar

About

I am a postdoctoral researcher at the Max Planck Institute for Mathematics in Bonn, Germany, working with Christian Blohmann's group. From 2018-2023, I was a PhD student studying mathematics at the University of Toronto, supervised by Yael Karshon. My current research deals with singular foliations, Lie groupoids, and diffeology. I am also interested in convex geometry, in which I completed a Master's project at the University of Toronto in 2017 with Dmitry Faifman.

Here is my CV.

Research

In reverse chronological order.

Published

  1. Geometry of leaf spaces of singular foliations (August 2023). This is my PhD thesis.
  2. The basic de Rham complex of a singular foliation (March 2022). Published in IMRN. Here is the arXiv version.

Preprints

  1. Riemannian foliations and quasifolds (September 2023). Submitted. Preprint on arXiv.
  2. Singular foliations through diffeology (March 2023). To appear in Contemporary Mathematics (proceedings) for the special sssion "Recent advances on diffeologies and their applications" held at the AMS-SMF-EMS Joint International Meeting in Grenoble, July 2022, published by the American Mathematical Society.
  3. Diffeological submanifolds and their friends (April 2022). With Yael Karshon and Jordan Watts. Submitted. Preprint on arXiv.
  4. Quasifold groupoids and diffeological quasifolds (June 2022). With Yael Karshon. Submitted. Preprint on arXiv.

Other Projects

  1. Quasifolds as groupoids and as diffeological spaces (July 2022). A poster I presented at the Poisson 2022 conference in Madrid.
  2. Basic forms on foliated manifolds (December 2019). A poster I presented at the 2019 CMS Winter Meeting in Toronto.
  3. Characterizing U(1,1) and translation-invariant generalized convex valuations on ℂ2 (August 2018). My master's project. I am polishing this document further.
  4. Dvoretzky's theorem and concentration of measure (December 2016). A project I completed for a seminar course taught by Dmitry Panchenko at the end of my bachelor degree.

Teaching

Unless otherwise specified, these courses were held at the University of Toronto's St George campus.

I have made some exercises and worksheets to complement various courses:

Previously, I have assisted or taught, in reverse chronological order: