TOMO MURAO

Last Updated :2025/12/26

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Associate Professor
Web Site
https://sites.google.com/view/tmurao
E-mail
tmuraohiroshima-u.ac.jp
Self-introduction
My research focuses on low-dimensional topology, in particular knot theory.

Basic Information

Major Professional Backgrounds

  • 2025/.4, Hiroshima University, Mathematics Program, Graduate School of Advanced Science and Engineering, Associate Professor
  • 2022/.1, 2025/.3, Kochi University, Science and Technology Unit, Natural Science Cluster, Research and Education Faculty, Assistant Professor
  • 2020/.9, 2022/.1, Waseda University, Global Education Center, Lecturer
  • 2020/.4, 2020/.8, Waseda University, Global Education Center, Assistant Professor
  • 2018/.8, 2020/.3, University of Tsukuba, JSPS Research Fellow PD
  • 2018/.4, 2018/.7, University of Tsukuba, JSPS Research Fellow DC

Educational Backgrounds

  • University of Tsukuba, Japan, 2016/.4, 2018/.7
  • University of Tsukuba, Japan, 2014/.4, 2016/.3
  • University of Tsukuba, Japan, 2010/.4, 2014/.3

Academic Degrees

  • University of Tsukuba
  • University of Tsukuba

Educational Activity

  • [Bachelor Degree Program] School of Science : Mathematics : Mathematics
  • [Master's Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Mathematics Program
  • [Doctoral Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Mathematics Program

In Charge of Primary Major Programs

  • Mathematics

Research Fields

  • Mathematical and physical sciences;Mathematics;Geometry

Research Keywords

  • topology, low-dimensional topology, low-dimensional manifold, knot, handlebody-knot, quandle

Affiliated Academic Societies

  • The Mathematical Society of Japan

Educational Activity

Course in Charge

  1. 2025, Liberal Arts Education Program1, 2Term, Linear AlgebraI
  2. 2025, Undergraduate Education, 4Term, Geometry D
  3. 2025, Graduate Education (Master's Program) , 4Term, Geometry B
  4. 2025, Graduate Education (Master's Program) , 3Term, Topics in Geometry B

Research Activities

Academic Papers

  1. On bind maps for braids, J. Knot Theory Ramifications, 25(2), 2016
  2. (Co)homology of racks and multiple group racks for compact oriented surfaces in the 3-sphere, Internat. J. Math., 36(2), 2025
  3. 4-move inequivalent handlebody-links and f-twisted Alexander matrices, Osaka J. Math., 61(4), 601-616, 2024

Invited Lecture, Oral Presentation, Poster Presentation

  1. On quandle cocycle invariants and link homotopy, Tomo Murao, Topology Seminar in Grenoble, 2025/09/26, With Invitation, English, Grenoble Alpes University

External Funds

Acceptance Results of Competitive Funds

  1. 2021/.4, 2026/.3
  2. 2020/.9, 2023/.3
  3. 2018/.4, 2020/.3