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J-GLOBAL ID：201801009957224283
Update date: Feb. 01, 2024
Kitano Teruaki
キタノ テルアキ | Kitano Teruaki
Affiliation and department：
Job title：
Professor
Research field (1)：
Geometry
Research keywords (6)：
3次元多様体論
, 位相幾何学
, 数学
, 3-dimensional manifolds
, Topology
, Mathematics
Research theme for competitive and other funds (15)：
- 2019 - 2023 3次元多様体の基本群の指標多様体と位相的構造との関連について
- 2016 - 2020 Reidemeister torsionに関するJohnson理論の深化
- 2015 - 2019 Torsion invariants for hyperbolic manifolds
- 2013 - 2017 Pro-finite completion of a 3-manifold group and its relation to topological invariants
- 2012 - 2013 表現の理論に関連した側面からみた低次元トポロジーと3次元位相不変量
- 2009 - 2011 Studies on partial orders on sets of 3-manifolds defined by epimorphisms between fundamental groups.
- 2007 - 2009 Geometry of Groups and Moduli Spaces (2)
- 2005 - 2008 Study on topological invariants derived from linear representations over a finite field of fundamental groups and geometric structures of 3-manifolds
- 2004 - 2006 Geometry of Groups and Moduli Spaces
- 2003 - 2006 Various inbariants appearing in low-dimensional topology
- 2003 - 2004 Conformal Field Theory and Witten Invariant
- 2002 - 2004 円周上の曲面束の構造を許容する3次元双曲的多様体の位相不変量に関する研究
- 2001 - 2002 Gauge Theory and 3-Dimensional Manifolds
- 2000 - 2001 種類2以上の曲面の写像類群と円周上の曲面束の不変量に関する研究
- 1999 - 2000 Gauge Theory and 3-Dimensional Manifolds
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Papers (26)：
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Teruaki Kitano, Yuta Nozaki. An algebraic property of Reidemeister torsion. Transactions of the London Mathematical Society. 2022. 9. 1. 136-157
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Teruaki Kitano, Takayuki Morifuji, Anh T. Tran. Twisted Alexander polynomials of torus links. Journal of Knot Theory and its Ramifications. 2020. 29. 4
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Teruaki Kitano, Yuta Nozaki. Finiteness of the image of the reidemeister torsion of a splice. Annales Mathematiques Blaise Pascal. 2020. 27. 1. 19-36
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Teruaki Kitano. A polynomial defined by the SL(2; C)-Reidemeister torsion for a homology 3-sphere obtained by a Dehn surgery along a {p, q)-torus knot. Tohoku Mathematical Journal. 2017. 69. 4. 571-583
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Kitano, Teruaki, Morifuji, Takayuki. A note on Riley polynomials of 2-bridge knots. Ann. Fac. Sci. Toulouse Math. (6). 2017. 26. 5. 1211-1217
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Books (3)：
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数学の言葉と論理
朝倉書店 2008 ISBN:9784254117516
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Groups of Diffeomorphisms
Mathematical society of Japan 2008
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ねじれ Alexander 不変量
日本数学会 2006 ISBN:4931469361
Lectures and oral presentations (6)：
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SL(2,Z/d)-represenations of a knot group and Alexander polynomial as an obstruction
(The 8th East Asian School of Knots and Related Topics 2012)
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Linear representations over a finite field of a knot group and the Alexander polynomial as an obstruction
(Branched Coverings, Degenerations, and Related Topics 2012 2012)
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Epimorphisms between knot groups and special values of colored Jones polynomials
(The 8th East Asian School of Knots and Related Topics 2012)
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On the Alexander polynomial of a knot as an obstruction for linear representations of a knot group
(Circle valued Morse theory and Alexander invariants 2011)
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Linear representations over a finite field of a knot group and the Alexander polynomial as an obstruction
(北京大学topology seminar 2011)
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Education (4)：
- - 1994 Tokyo Institute of Technology Science of Engineering
- - 1994 Tokyo Institute of Technology Graduate School, Division of Science and Engineering Mathematics
- - 1988 Chuo University Faculty of Science and Engineering
- - 1988 Chuo University Faculty of Science and Engineering Mathematics
Professional career (1)：
- Doctor of science (Tokyo Institute of Technology)
Association Membership(s) (1)：
Mathematical society of Japan
