教員データベース - 鈴木　正明

■ 著書・論文

1.	2024	論文	Blanchfield pairings and Gordian distance International Journal of Mathematics 35 （共著）
2.	2024	論文	Genera and crossing numbers of $2$-bridge knots Fundamenta Mathematicae 264(2),pp.179-195 （共著）
3.	2024	論文	On the braid index of a two-bridge knot Journal of Knot Theory and Its Ramifications 33 （共著）
4.	2023	論文	A non-commutative Reidemeister-Turaev torsion of homology cylinders Transactions of the American Mathematical Society 376,pp.5045-5088 （共著）
5.	2022/12	論文	On a theorem of Friedl and Vidussi International Journal of Mathematics 33(13) （共著）
6.	2022/04	論文	Abelian quotients of the $Y$-filtration on the homology cylinders via the LMO functor Geometry and Topology 26(1),pp.221-282 （共著）
7.	2022/04	論文	On the kernel of the surgery map restricted to the 1‐loop part Journal of Topology 15,pp.587-619 （共著）
8.	2021/12	論文	Generating functions on epimorphisms between $2$-bridge knot groups Journal of Knot Theory and Its Ramifications 30 （単著）
9.	2020/07	論文	Johnson kernel and invariants of homology spheres Quantum Topology 11,pp.379-410 （共著）
10.	2019/02	論文	Alternating knots with Alexander polynomials having unexpected zeros Topology and its Applications 253,pp.48-56 （共著）
11.	2018	論文	An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra Experimental Mathematics 27,pp.302-315 （共著）
12.	2018	論文	Genera of two-bridge knots and epimorphisms of their knot groups Topology and its Applications 242,pp.66-72 （共著）
13.	2017	論文	Epimorphisms between $2$-bridge knot groups and their crossing numbers Algebraic and Geometric Topology 17,pp.2413-2428 （単著）
14.	2017	論文	On minimality of two-bridge knots International Journal of Mathematics 28 （共著）
15.	2017	論文	Symmetry of symplectic derivation Lie algebra of free Lie algebras RIMS Kokyuroku Bessatsu, Geometry and Analysis of Discrete Groups and Hyperbolic Spaces B66,pp.184-195 （共著）
16.	2016	論文	Monodromy maps of fibered $2$-bridge knots as elements in Automorphism of free groups Kyungpook Mathematical Journal 56,pp.927-938 （共著）
17.	2016	論文	Non-meridional epimorphisms of knot groups Algebraic and Geometric Topology 16,pp.1135-1155 （共著）
18.	2015	論文	Computations in formal symplectic geometry and characteristic classes of moduli spaces Quantum Topology 6,pp.139-182 （共著）
19.	2015	論文	Integral Euler characteristic of Out F11 Experimental Mathematics 24,pp.93-97 （共著）
20.	2015	論文	Meridional and non-meridional epimorphisms between knot groups Handbook of group actions 31,pp.577-602 （単著）
21.	2015	論文	Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras Advances in Mathematics 282,pp.291-334 （共著）
22.	2013	論文	A note on degrees of twisted Alexander polynomials II Bulletin of the Korean Mathematical Society 50,pp.929-934 （共著）
23.	2013	論文	Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra Duke Mathematical Journal 162,pp.965-1002 （共著）
24.	2012	論文	A table of genus two hadlebody-knots up to six crossings Journal of Knot Theory and Its Ramifications 21,pp.9 pages （共著）
25.	2012	論文	An integral region choice problem on knot projection Journal of Knot Theory and Its Ramifications 21,pp.20 pages （共著）
26.	2012	論文	On the number of SL(2;Z/pZ)-representations of knot groups Journal of Knot Theory and Its Ramifications 21,pp.18 pages （共著）
27.	2011	論文	A partial order on the set of prime knots with up to 11 crossings Journal of Knot Theory and Its Ramifications 20,pp.275-303 （共著）
28.	2009	論文	Representations of the braid group and punctured torus bundles Kyungpook Mathematical Journal 49,pp.7-14 （共著）
29.	2008	論文	A partial order in the knot table II Acta Matheimatica Sinica, English Series 24,pp.1801-1816 （共著）
30.	2008	論文	New examples of elements in the kernel of the Magnus representation of the Torelli group Groups of Diffeomorphisms pp.479-490 （単著）
31.	2008	論文	Twisted Alexander polynomial and a partial order on the set of prime knots Geometry and Topology Monographs 13,pp.307-321 （共著）
32.	2007	論文	On the existence of a surjective homomorphism between knot groups Intelligence of Low Dimensional Topology 2006 pp.173-177 （共著）
33.	2005	論文	A partial order in the knot table Experimental Mathematics 14,pp.385-390 （共著）
34.	2005	論文	Geometric interpretation of the Magnus representation of the mapping class group Kobe Journal of Mathematics 22,pp.39-47 （単著）
35.	2005	論文	On the kernel of the Magnus representation of the Torelli group Proceedings of the American Mathematical Society 133,pp.1865-1872 （単著）
36.	2005	論文	Twisted Alexander polynomials and surjectivity of a group homomorphism Algebraic and Geometric Topology 5,pp.1315-1324 （共著）
37.	2004	論文	Twisted Alexander polynomial for the Lawrence-Krammer representation Bulletin of the Australian Mathematical Society 70,pp.67-71 （単著）
38.	2003	論文	A class function on the Torelli group Kodai Mathematical Journal 26,pp.304-316 （単著）
39.	2003	論文	Irreducible Decomposition of the Magnus Representation of the Torelli Group Bulletin of the Australian Mathematical Society 67,pp.1-14 （単著）
40.	2003	論文	On the Magnus representation of the mapping class group Interdisciplinary Information Sciences 9,pp.77-80 （単著）
41.	2002	論文	The Magnus Representation of the Torelli Group I_{g,1} is not faithful for g >= 2 Proceedings of the American Mathematical Society 130,pp.909-914 （単著）
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全件表示(41件)

■ 学会発表

1.	2024/03/09	Twisted Alexander polynomials of knots associated to the regular representations of finite groups（Knot theory, LMO invariants and related topics）
2.	2023/12/15	Twisted Alexander vanishing order of knots（Winter School on Low-dimensional Topology）
3.	2023/09/08	On the minimal orders of knots and the twisted Alexander polynomial（OIST Hikami Unit seminar）
4.	2022/01/30	Epimorphisms between knot groups and twisted Alexander polynomial（Topology and Geometry of Low-dimensional Manifolds）
5.	2022/01/20	Knot group, symmetric group, dihedral group, and twisted Alexander polynomial（East Asian Conference on Geometric Topology）
6.	2021/01/25	Generating function on epimorphisms between 2-bridge knot groups（East Asian Conference on Geometric Topology 2021）
7.	2020/10/09	On a structure of the symplectic derivation Lie algebra of the free Lie algebra（Teichmüller Theory: Classical, Higher, Super and Quantum）
8.	2020/09/17	Epimorphisms between two-bridge knot groups - crossing number, genus（トポロジーとコンピュータ2020）
9.	2020/02/26	Epimorphisms between knot groups（SFB Seminar）
10.	2019/10/31	Computations of Johnson homomorphisms and symplectic derivation algebra（低次元トポロジー in 白神）
11.	2019/09/19	Two filtrations of the Torelli group（日本数学会年会）
12.	2019/09/13	The symplectic derivation Lie algebra of the free Lie algebra（Graph complexes in algebraic geometry and topology）
13.	2019/01/21	Two filtrations of the Torelli group（East Asian Conference on Geometric Topology 2019）
14.	2018/10/14	Two filtrations of the Torelli group（Topology and Computer 2018）
15.	2018/10/06	Genera of two-bridge knots and epimorphisms of their knot groups（東北結び目セミナー）
16.	2018/09/24	Genera of two-bridge knots and epimorphisms of their knot groups（日本数学会年会）
17.	2018/09/06	Computations of Johnson homomorphisms（New Trends in Teichmüller Theory and Mapping Class Groups）
18.	2018/01/29	Epimorphisms between knot groups - crossing number, genus（East Asian School of Knots and Related Topics）
19.	2017/03/21	Epimorphisms between knot groups（Seminar Geometry, Topology, Dynamical Systems）
20.	2017/02/14	Epimorphisms between two-bridge knot groups and their crossing numbers（The 12th East Asian School of Knots and Related Topics）
21.	2016/11/22	Epimorphisms between two-bridge knot groups and their crossing numbers（Fundamental Groups, Representations and Geometric Structures in 3-Manifold Topology）
22.	2016/11/15	Epimorphisms between knot groups（Geometry seminar）
23.	2016/10/28	Epimorphisms between two-bridge knot groups and their crossing numbers（Topology and Computer 2016）
24.	2016/10/22	Epimorphisms between knot groups（International Conference for the 70th Anniversary of Korean Mathematical Society）
25.	2015/11/10	Computations in formal symplectic geometry and characteristic classes of moduli spaces（Workshop on Automorphisms of free groups）
26.	2015/05/26	Non-meridional epimorphisms between knot groups（RIMS Seminar: Topology, Geometry and Algebra of low-dimensional manifolds）
27.	2015/01/28	Non-meridional epimorphisms between knot groups（The Tenth East Asian School of Knots and Related Topics）
28.	2014/10/30	Meridional and non-meridional epimorphisms between knot groups（Departmental Colloquia）
29.	2014/04/28	Meridional and non-meridional epimorphisms between knot groups（Shonan meeting seminar）
30.	2013/10/02	Meridional and non-meridional epimorphisms between knot groups（Topology Seminar）
31.	2013/03/14	Meridional and non-meridional epimorphisms between knot groups（Geometry Seminar, University of Pisa, Italy）
32.	2013/01/14	An integral region choice problem on knot projection（The 9th East Asian School of Knots and Related Topics）
33.	2012/07/23	Meridional and non-meridional epimorphisms between knot groups（Group actions and applications in geometry, topology and analysis）
34.	2012/01/10	Epimorphisms between knot groups and the images of meridians（The 8th East Asian School of Knots and Related Topics）
35.	2011/11/17	Epimorphisms between knot groups and the images of meridians（Circle valued Morse theory and Alexander invariants）
36.	2011/11/12	メリディアンを保たない結び目群間の全射について（トポロジーとコンピュータ２０１１）
37.	2011/10/12	Epimporphisms between knot groups and the image of meridians（Topology Seminar, Peking University, China）
38.	2011/09/03	自由結合代数の微分のなすリー代数のアーベル化（リーマン面に関連する位相幾何学）
39.	2010/09/14	Epimorphisms between knot groups: determination of the partial order（Twisted topological invariants and topology of low-dimensional manifolds）
40.	2010/09/10	On the graded Magnus representation of the mapping class group（Topology and Computer 2010）
41.	2010/03/02	Epimorphisms between knot groups（Claremont Topology Seminar）
42.	2009/12/11	Epimorphisms between knot groups（CalTech Geometry and Topology Seminar, USA）
43.	2009/10/12	Epimorphisms between knot groups（Geometry and Topology Seminar, University of Southern California, USA）
44.	2009/09/01	Epimorphisms between the groups of 2-bridge knots with up to 12 crossings（Topology and Computer 2009）
45.	2009/06/10	A partial order on the set of prime knots with up to 11 crossings（Toulouse Topology Seminar, France）
46.	2008/11/11	On the Magnus representation of the mapping class group（シンプレクティック幾何とその周辺）
47.	2008/03/25	On the Magnus representation of the mapping class group（Finite type invariants, fat graphs and Torelli-Johnson-Morita theory）
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■ 学歴

1.	2000/04～2003/03	東京大学数理科学研究科博士課程修了博士(数理科学)
2.	1998/04～2000/03	東京大学数理科学研究科修士課程修了修士(数理科学)

■ 職歴

1.	2018/04～	明治大学総合数理学部教授
2.	2013/04～2018/03	明治大学総合数理学部准教授
3.	2006/04～2013/03	秋田大学教育文化学部准教授

■ researchmap研究者コード

7000027517

■ 研究課題・受託研究・科研費

1.	2020/04～	結び目群間の全射準同型と結び目の不変量との関連についての研究基盤研究(C)
2.	2016/04～2023/03	結び目群間の全射準同型の存在決定と幾何的解釈に関する研究基盤研究(C)
3.	2012～2014	結び目群のメリディアンを保たない全射準同型に関する研究若手研究 (B)
4.	2009～2011	写像類群の高次マグナス表現の忠実性に関する研究若手研究 (B)
5.	2006～2007	曲面の写像類群とその線型表現研究活動スタート支援
6.	2005～2005	曲面の写像類群の代数的構造と線型表現特別研究員奨励費
7.	2002～2003	写像類群とその表現特別研究員奨励費
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■ 委員会・協会等

1.

2007/04/01～2013/03/31

秋田県立大館鳳鳴高等学校スーパーサイエンス事業運営指導委員会委員

■ 現在の専門分野

幾何学(Geometry)

■ 科研費研究者番号

70431616