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
Graduate school
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Research activities
Research papers
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
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
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
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
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
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
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
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
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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