Faculty Members

LANGUAGE ≫ Japanese
kato-ryo-1.jpg

Assistant Professor
KATO Ryo

Doctor of Science, Kochi University, Japan, 9

  • Year of birth: 1986
  • Gender: Male
  • Affiliation: Department of Core Studies
Areas of specialization Algebraic Topology
Laboratory/research office Algebraic Topology
In this laboratory, we investigate various objects in Algebraic Topology, a branch of mathematics.
In particular, in our recent research we consider Homotopy Groups, Picard Groups, and Bousfield Lattices.
Current research topics
Educational background
Professional background
Licenses
Academic societies

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Courses

* Courses provided in English are shown with (E) mark

Undergraduate school
  • Basic Mathematics
  • Mathematics 1
  • Mathematics 2
  • Mathematics 5
  • Mathematics 8
  • Mathematics 9
  • Calculus 3
  • Ordinary Differential Equations
  • Applied Mathematics
  • Probability and Statistics
Graduate school

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Research activities

Research papers
  1. Authors: Ryo Kato
    Title: An analogue of the dichotomy conjecture on monoidally distributive posets
    Journal: Publicaions of the Research Institute for Mathematical Sciences, Vol. 61, No. 2, pp. 277-291
    Year: 2025
  2. Authors: Ryo Kato, You-na Kawamoto, Hiroki Okajima, Katsumi Shimomura
    Title: Generalized Moore spectra and Hopkins' Picard groups for a smaller chromatic level
    Journal: Advanced Studies: Euro-Tbilisi Mathematical Journal , Vol. 17, No. 2, pp. 91-109
    Year: 2024
  3. Authors: Ryo Kato
    Title: Retract conjecture on a sublattice of monoidal posets
    Journal: Proceedings of the American Mathematical Society, Vol. 151, pp. 3157-3167
    Year: 2023
  4. Authors: Ryo Kato
    Title: E(2)-local Picard graded beta elements at the prime three
    Journal: Mathematical Journal of Okayama University, Vol. 65, pp. 23-34
    Year: 2023
  5. Authors: Ryo Kato, Katsumi Shimomura
    Title: A note on products in stable homotopy groups of spheres via the classical Adams spectral sequence
    Journal: Mathematical Journal of Okayama University, Vol. 63, pp. 107-122
    Year: 2021
  6. Authors: Ryo Kato
    Title: The E(1)-local Picard graded homotopy groups of the sphere spectrum at the prime two
    Journal: Hiroshima Mathematical Journal, Vol. 50, pp. 137-150
    Year: 2020
  7. Authors: Ryo Kato, Hiroki Okajima, Katsumi Shimomura
    Title: Notes on an algebraic stable homotopy category
    Journal: Bousfield classes and Ohkawa's theorem: Nagoya, Japan, August 28-30, 2015, Springer Proceedings in Mathematics and Statistics, Vol. 309, pp. 103-108
    Year: 2020
  8. Authors: Ryo Kato
    Title: The TR-groups of the sphere spectrum at the prime two
    Journal: Kochi Journal of Mathematics, Vol. 11, pp. 56-69
    Year: 2016
  9. Authors: Ryo Kato, Katsumi Shimomura, Yutaro Tatehara
    Title: Generalized Bousfield lattices and a generalized retract conjecture
    Journal: Publications of the Research Institute for Mathematical Sciences, Vol. 50, pp. 497-513
    Year: 2014
  10. Authors: Ryo Kato, Katsumi Shimomura
    Title: Products of Greek letter elements dug up from the third Morava stabilizer algebra
    Journal: Algebraic and Geometric Topology, Vol. 12, pp. 951-961
    Year: 2012
  11. Authors: Ryo Kato, Katsumi Shimomura
    Title: The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime
    Journal: Nagoya Mathematical Journal, Vol. 207, pp. 139-157
    Year: 2012

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Social activities

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