Curriculum Vitaes
Profile Information
- Affiliation
- Associate Professor, Faculty of Science and Technology, Department of Information and Communication Sciences, Sophia University
- Degree
- 博士（理学）(Mar, 2010, 広島大学)修士（理学）(Mar, 2008, 広島大学)学士（理学）(Mar, 2006, 広島大学)
- Researcher number
- 90609091
- J-GLOBAL ID
- 201301031430698749
- researchmap Member ID
- 7000004661
- External link
Research Interests
1Research Areas
1Research History
5-
Apr, 2010 - Mar, 2011
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Apr, 2008 - Apr, 2010
Papers
40-
J. Knot Theory Ramifications, 34(1) Paper No. 2450056., 2025 Peer-reviewed
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Internat. J. Math., 35(5) Paper No. 2450011, 47 pp., 2024 Peer-reviewed
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Kobe J. Math., 41 1-32, 2024 Peer-reviewed
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Topology Appl., 307 107766, 13pp, 2022 Peer-reviewed
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Quandles and Symmetric Spaces, OCAMI Reports, 4 29-31, 2021
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J. Knot Theory Ramifications, 30 2150015, 34pp, 2021 Peer-reviewed
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Topology Appl., 301 107513, 17 pp., 2021 Peer-reviewed
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Topology Appl., 301 107512, 31 pp., 2021 Peer-reviewed
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Topology Appl., 258 474-512, 2019 Peer-reviewed
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Osaka Journal of Mathematics, 55 297-313, 2018 Peer-reviewed
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Hiroshima Math. J., 48(1) 89-117, 2018 Peer-reviewed
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J. Knot Theory Ramifications, 27(1843011, 33 pp) 1843011-1843011, 2018 Peer-reviewedIn this paper, we introduce the (co)homology group of a multiple conjugation biquandle. It is the (co)homology group of the prismatic chain complex, which is related to the homology of foams introduced by J. S. Carter, modulo a certain subchain complex. We construct invariants for [Formula: see text]-oriented handlebody-links using [Formula: see text]-cocycles. When a multiple conjugation biquandle [Formula: see text] is obtained from a biquandle [Formula: see text] using [Formula: see text]-parallel operations, we provide a [Formula: see text]-cocycle (or [Formula: see text]-cocycle) of the multiple conjugation biquandle [Formula: see text] from a [Formula: see text]-cocycle (or [Formula: see text]-cocycle) of the biquandle [Formula: see text] equipped with an [Formula: see text]-set [Formula: see text].
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JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 26(12), Oct, 2017 Peer-reviewed
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Algebraic and Geometric Topology, 16(4) 2443-2458, 2016 Peer-reviewed
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TOPOLOGY AND ITS APPLICATIONS, 196 921-930, Dec, 2015 Peer-reviewed
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HIROSHIMA MATHEMATICAL JOURNAL, 44(1) 63-74, Mar, 2014 Peer-reviewed
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Illinois Journal of Mathematics, 57(3) 817-838, 2013 Peer-reviewed
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JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 21(14), Dec, 2012 Peer-reviewed
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JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 21(4), Apr, 2012 Peer-reviewed
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TOPOLOGY AND ITS APPLICATIONS, 159(4) 1092-1105, Mar, 2012 Peer-reviewed
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JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 20(4) 595-608, Apr, 2011 Peer-reviewed
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Algebraic and Geometric Topology, 10(2) 853-865, Oct, 2010 Peer-reviewed
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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 362(10) 5501-5527, Oct, 2010 Peer-reviewed
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Journal of the Mathematical Society of Japan, 62(3) 963-973, Jul, 2010 Peer-reviewed
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TOPOLOGY AND ITS APPLICATIONS, 157(5) 857-869, Apr, 2010 Peer-reviewed
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ALGEBRAIC AND GEOMETRIC TOPOLOGY, 10(2) 853-865, 2010 Peer-reviewed
Misc.
3-
arXiv:2501.09942, 2025
Books and Other Publications
1Presentations
51Teaching Experience
34Professional Memberships
1Research Projects
8-
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2025
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2024
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Apr, 2016 - Mar, 2020
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2019
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Apr, 2013 - Mar, 2016