David Miyamoto

Research

In reverse chronological order.

Published

  1. Riemannian foliations and quasifolds
    Yi Lin, David Miyamoto
    Math. Z. 308 (2024) no. 49, p. 32
    DOI arXiv
  2. Diffeological submanifolds and their friends
    Yael Karshon, David Miyamoto, Jordan Watts
    Differential Geom. Appl. 96 (2024), p. 14
    DOI arXiv
  3. Singular foliations through diffeology
    David Miyamoto
    Recent advances on diffeologies and their applications. Vol. 794. Contemp. Math. Amer. Math. Soc., [Providence], RI, 2024, pp. 139-160
    DOI arXiv
  4. Quasifold groupoids and diffeological quasifolds
    Yael Karshon, David Miyamoto
    Transformation Groups. (2023), p. 35
    DOI arXiv
  5. The basic de Rham complex of a singular foliation
    David Miyamoto
    Int. Math. Res. Not. IMRN 8 (2023), pp. 6364-6401
    DOI arXiv

Preprints

  1. Lie groupoids determined by their orbit spaces
    David Miyamoto
    Submitted preprint. 2024. 34 pages
    arXiv

Thesis

  1. Geometry of leaf spaces of singular foliations
    David Miyamoto
    Thesis (Ph.D.) University of Toronto (Canada). ProQuest LLC, Ann Arbor, MI, 2023, p, 104
    DOI PDF

Other Projects

Individually authored unless otherwise stated

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