理工学部 情報理工学科
Profile Information
- Affiliation
- Associate Professor, Faculty of Science and Technology, Department of Information and Communication Sciences, Sophia University
- Degree
- 修士（理学）(上智大学)
- Contact information
- y-gomi
sophia.ac.jp - Researcher number
- 50276515
- J-GLOBAL ID
- 200901015517108370
- researchmap Member ID
- 5000064369
1995-2008 Dept. Mathematics Sophia University, Research on the representation theory of reflection groups and Iwahori-Hecke algebras
(19998 Sept.-1999 Aug. Université de Picardie Jules Verne[France], Research on braid groups)
2008-present Dept. Information and communication Sciences Sophia University, Research on the representation theory of reflection groups and Iwahori-Hecke algebras
(Subject of research)
Representation theory of Iwahori-Hecke algebras and reflection groups
Research Interests
5Research Areas
1Education
1-
Apr, 1992 - Mar, 1995
Papers
14-
TOKYO JOURNAL OF MATHEMATICS, 39(3) 583-596, Mar, 2017 Peer-reviewedIn this paper, we determine (tau q) over tilde (X-q(lambda)), the Gauss sums on the Iwahori-Hecke algebras of type A for irreducible characters X-q(lambda), which are q-analogues of those on the symmetric groups. We also explicitly determine the values of the corresponding trace function Psi((n))(q) = Sigma(lambda 1-n) (tau(q)) over tilde (X-q(lambda))X-q(lambda).
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TOKYO JOURNAL OF MATHEMATICS, 35(1) 165-179, Jun, 2012We shall discuss Gauss sums on finite groups and give several examples including the case of the complex reflection groups G(m, r, n), and hence finite symmetric groups, and also finite Weyl groups.
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JOURNAL OF ALGEBRA, 303(2) 566-591, Sep, 2006 Peer-reviewed
Presentations
10-
Mar 20, 2016, Tokyo Journal of Mathematics Invited
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Discrete Mathematics and Applications, Jan 8, 2016, Institute of Mathematics, University of the Philippines Diliman Invited
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The 55th KPPY Combinatorics Seminar, Mar 23, 2013 Invited
Professional Memberships
1Research Projects
17-
Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2023
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2021
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日本学術振興会, Apr, 2011 - Mar, 2015
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2015
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2015
Other
2-
Apr, 2007特定の教科書を決めることはせず、時間数や他の講義との連携、学生の興味などを総合的に考えて、内容を構成して授業を進めている。理論中心の講義ではあるが、適当な具体例を出来るだけ多く取り上げて学生が理解しやすいように工夫している。
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Apr, 2003学生の能力に応じた本を選び、学生はそれを講読し口頭発表する。本の内容をただそのまま発表するのではなく、適当な具体例について考えたり、他の文献との比較を行うなどして、発表の幅を広げるように指導している。また発表の仕方についても、議論の展開の仕方や、黒板の使い方などを工夫するように指導している。