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
You can see the continuation of the table with a side swipe.
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
You can see the continuation of the table with a side swipe.
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
You can see the continuation of the table with a side swipe.
Social activities
You can see the continuation of the table with a side swipe.