Taketo Sano

I am a postdoctoral researcher at RIKEN iTHEMS since April 2022. I received my PhD in 2022 from the University of Tokyo under the supervision of Prof. Mikio Furuta.

My research field is low-dimensional topology, and particularly interested in Khovanov homology theory and its application.

I have worked as a software engineer for 9 years, prior to entering the graduate school in 2016. I am a father of two children, a 9-year-old girl and a 0-year-old boy (as of 2024).

contact: taketo.sano @ riken.jp

Recent Works

Involutive Khovanov homology and equivariant knots (2024). [arXiv / Slides]
A family of slice-torus invariants from the divisibility of reduced Lee classes, with Kouki Sato (2022). [arXiv]
More on arXiv.

Publications

A Bar-Natan homotopy type, International Journal of Mathematics Vol. 34, No. 02, 2350008 (2023). [DOI / arXiv]
Fixing the functoriality of Khovanov homology: a simple approach, Journal of Knot Theory and Its Ramifications Vol. 30, No. 11, 2150074 (2021). [DOI / arXiv]

A description of Rasmussen's invariant from the divisibility of Lee's canonical class, Journal of Knot Theory and Its Ramifications Vol. 29, No. 06 (2020). [DOI / arXiv]

Recent Talks

Nov 2024, Involutive Khovanov homology and equivariant knots. 4 Dimensional Topology 2024 at Osaka U. [Slides]
July 2024, Khovanov homology and its applications to low-dimensional topology. 3-days lectures at KAIST, Korea. [Notes]

June 2024, Khovanov homology and its applications to low-dimensional topology. 3-days lectures at OIST, Japan. [Link]
March 2024, Involutive Khovanov homology and equivariant knots. 5min LT at University of Georgia, USA.

Teaching

General Topology, Kokushikan University, 2023.
Calculus and Linear Algebra, Komazawa University, 2022.

My daugther drawing a squid at my research institute.