Faculty Database - NAGATOMO Yasuyuki

Books and Papers

Conference Presentations

Academic Qualifications

Research Topics, Consignment Studies & KAKENHI Researches

Email Addresses

Current Specialized Field

（Last updated : 2022-10-19 09:06:34）

NAGATOMO Yasuyuki
Department Undergraduate School , School of Science and Technology

Position Professor

■ Books and Papers

1.	2022	Article	Equivariant Holomorphic Embeddings from the Complex Projective line into Complex Grassmannian of 2-planes Osaka Journal of Mathematics 59(3),pp.495-514 (Collaboration)
2.	2022	Article	Holomorphic Isometric Embeddings of the Projective space into Quadrics Geometriae Dedicata 216(3) (Single)
3.	2021	Article	Holomorphic maps into Grassmann manifolds (Harmonic maps into Grassmann manifolds III) Annals of Global Analysis and Geometry 60,pp.33-63 (Single)
4.	2019	Article	Vector bundles, isoparametric functions and Radon transforms on symmetric spaces Osaka Journal of Mathematics 56,pp.675-711 (Collaboration)
5.	2018	Article	Killing vector fields on complex hypersurfaces in the complex projective spaces Kyushu Journal of Mathematics 72(1),pp.231-237 (Collaboration)
6.	2018	Article	Moduli of Einstein-Hermitian harmonic mappings of the projective line into quadrics, Annals of Global Analysis and Geometry 53,pp.503-520 (Collaboration)
7.	2017	Article	Holomorphic Isometric Embeddings of the Projective line into Quadrics Tohoku Mathematical Journal 69,pp.525-545 (Collaboration)
8.	2016	Article	A study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form Tokyo Journal of Mathematics 39,pp.173-185 (Collaboration)
9.	2015	Article	Special geometries associated to quaternion-Kaehler 8-manifolds Jounal of Geometry and Physics 91,pp.146-162 (Collaboration)
10.	2014	Article	Harmonic maps into Grassmannians Springer Proceedings in Mathematics and Statics 106, Real and Complex Submanifolds pp.453-463 (Single)
11.	2012/11	Book	Twistor embeddings of quaternion-Kaehler manifolds pp.64-70 (Single)
12.	2010	Book	Harmonic maps into Grassmannians and a generalization of do Carmo-Wallach theorem Proceedings of the 16th OCU International Academic Symposium 2008 3,pp.41-52 (Single)
13.	2010	Article	A note on the topology and geometry of F_4I Rendiconti di Matematica e sue Applicazioni 30,pp.183-193 (Collaboration)
14.	2009/11	Book	Totally geodesic submanifolds of Grassmannians pp.1-6
15.	2008	Article	Twistor sections on the Wolf spaces Transactions of the American Mathematical Society 360,pp.4497-4517 (Single)
16.	2004/11	Book	Twistor sections on the Wolf spaces and submanifolds pp.77-84 (Single)
17.	2004/05	Book	Differential Operators of Dirac type on complex and quaternion manifolds 数理解析研究所講究録1378 1378,pp.75-86 (Single)
18.	2003	Article	Instanton moduli on the quaternion Kaehler manifold of type G_2 and singular set Mathematische Zeitschrift 243,pp.243-261 (Single)
19.	2002	Book	Geometry of the Twistor Equation and its Applications Contemporary Mathematics 309,pp.165-176
20.	2002	Article	Dimensional reduction and momentum maps Journal of Geometry and Physics 41,pp.208-223 (Single)
21.	2002	Article	Singular set of ideal instantons and Poincare duality Tsukuba Journal of Mathematics 26,pp.39-47 (Single)
22.	2001/07	Article	Holomorphic maps into Grassmann manifolds (Harmonic maps into Grassmann manifolds III) Annals of Global Analysis and Geometry 60,pp.33-63 (Single)
23.	2001	Book	Generalized ADHM-construction on Wolf spaces Proceedings of the Second Meetingon "QUATERNIONIC STRUCTURES IN MATHEMATICS AND PHISICS" pp.285-294
24.	2001	Article	Representation Theory and ADHM-construction on Quaternion Symmetric Spaces Transactions of the American Mathematical Society 353,pp.4333-4355 (Single)
25.	1999	Article	Examples of vector bundles admitting unique ASD connections on quaternion-Kaehler manifolds, Proceedings of the American Mathematical Society 127,pp.3043-3048 (Single)
26.	1999	Article	k-instantons on G2(C^{n+2}) and stable vector bundles Mathematische Zeitschrift 1999,pp.721-737 (Collaboration)
27.	1998	Article	Another type of instanton bundles on Gr2(C^{n+2}) Tokyo Journal of Mathematics 232,pp.267-297 (Single)
28.	1997	Article	Moduli of 1-instantons on G2(C^{n+2}) Differential Geometry and Its Applications 7,pp.115-122 (Collaboration)
29.	1997	Article	Vanishing theorem for quaternionic complexes Bulletin of the London Mathematical Society 29,pp.359-366 (Collaboration)
30.	1996	Book	Instantons on Quaternion-Kaehler Manifold Proceedings of the Meeting on "QUATERNIONIC STRUCTURES IN MATHEMATICS AND PHISICS" pp.「Instantons on Quaternion-K\"ahler Manifolds」249-259 (Single)
31.	1995	Article	Construction of c2-self-dual bundles on a quaternionic projective space Osaka Journal of Mathematics 32,pp.1023-1033 (Collaboration)
32.	1995	Article	Vanishing theorem for cohomology groups of c2-self-dual bundles on quaternionic Kaehler manifolds Differential Geometry and Its Applications 5,pp.79-97 (Single)
33.	1992	Article	Rigidity of $c_1$-self-dual connections on quaternionic Kaehler manifolds Journal of Mathematical Physics 33,pp.4020-4025 (Single)
34.	1991	Article	Finite type hypersurfaces on sphere Tokyo Journal of Mathematics 14,pp.85-92 (Single)
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■ Conference Presentations

1.	2019/11/01	Harmonic mappings into Grassmannians (The second Taiwan-Japan Joint Conference on Differential Geometry)
2.	2017/10/12	Harmonic maps of the complex projective line to complex hyperquadrics (The 21st Internationalworkshop on Hermitian symmetric spaces & Submanifolds)
3.	2017/03/30	Harmonic maps of the complex projective line to complex hyperquadrics (13th OCAMI-RIRCM Joint DG workshop on Submanifold Geometry and Lie Theory)
4.	2014/08/11	Harmonic maps into Grassmannians (ICM 2014 Satellite Conference on Real and Complex Submanifolds and the 18th International Workshop on Differential Geometry)
5.	2012/09/11	Harmonic maps into Grassmannian manifolds (The 8th China-Japan Friendship Conference on differential geometry)
6.	2011/09/09	Vector bundles, harmonic maps and isoparametric functions (JSPS-DFG seminar)
7.	2011/03/15	Harmonic maps into Grassmannians and its applications to isoparametric functions and moduli problems (3rd OCAMI-TIMS workshop)
8.	2010/09/28	Holomorphic maps from Hermitian symmetric spaces into Grassmannians (Lie Transformation Groups and Complex Geometry)
9.	2010/08/24	Vector bundles, isoparametric functions and Radon transforms on symmetric spaces (Workshop on Hypersurfaces Geometry and Integrable Systems)
10.	2010/03/04	Vector bundles, isoparametric functions and Radon transforms on symmetric spaces (Seminario de Geometria Diferencial)
11.	2008/12/17	Harmonic maps into Grassmannian manifolds (the 16th Osaka City University International Academic Symposium 2008)
12.	2008/10/24	Totally geodesic immersions into Grassmannian manifolds (14th International Symposium on Complex Geometry)
13.	2008/08/24	Totally geodesic immersion into Grassmannian manifolds (JSPS-RFBR Workshop Harmonic Analysis on Homogeneous Spaces and Quantization)
14.	2006/10/25	Harmonic mappings into Grassmannian manifolds (12th International Symposium on Complex Geometry)
15.	2005/11/25	Twistor sections on quaternion symmetric spaces and submanifolds (Geometry seminar of University of Torino)
16.	2005/11/22	The Twistor sections on the Wolf spaces (Seminario di Topologia Algebrica e Differenziale)
17.	2004/10/23	Twistor sections on homogeneous contact Fano manifolds (10th International Symposium on Complex Geometry)
18.	2003/11/21	Differential operators of Dirac type on Complex and Quaternion manifolds (Innovative Teaching of Mathematics with Geometric Algebra)
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■ Academic Qualifications

1.	1995/02/17 Degree Acquisition	Tokyo Metropolitan University, Ph.D
2.	1990/04～1994/03	〔Doctorial Course〕 Mathematics, Graduate School, Division of Natural Science, Tokyo Metropolitan University, Accomplished credits for doctoral program,
3.	1984/04～1988/03	Department of Mathematics, Faculty of Science and Engineering, Waseda University, Graduated,

■ Research Topics, Consignment Studies & KAKENHI Researches

1.	2011/04～2015/03	Development of Integrable Geometry (Key Word : )
2.	2011～2013	Geometry of vector bundles and submanifolds realized by harmonic maps (Key Word : )
3.	2008～2010	Moduli spaces of vector bundles and a generalization of harmonic maps (Key Word : )
4.	2007～2010	Fusion of geometry and the theory of integrable systems (Key Word : )
5.	2007	Moduli spaces of vector bundles and harmonic maps (Key Word : moduli spaces, vector bundles, harmonic maps, representation theory, gauge theory)
6.	2006～2008	Generalizations of Weierstrass-type representation formula and their applications to theory of surface with singularities (Key Word : )
7.	2005～2007	GLOBAL CONSTRUMONS OF MODULI SPACES (Key Word : moduli spaces, harmonic mans, quaternion manifolds, twistor spaces, Lie groups, vector bundles, vanishing theorems, ASD connections)
8.	2004～2007	Development and relations between various geometries and integrable systems (Key Word : quantum cohomology, Painleve equation, Einstein metric, Yang-Mills connection, G2 orbits, Theory of harmonic maps, Moduli of singularities, isoparametric hypersurfaces)
9.	2002～2003	Differential equations and theory of submanifolds (Key Word : Gauss map, 4 dimensional Kahler manifold, exceptional holonomy, isoparametric hypersurface, total curvature, homogeneous hypersurface, constant mean curvature surface, Seiberg-Witten equation)
10.	2002～2005	Generalizations of Weierstrass-type representation formulae and applications (Key Word : cuspidal edge, cuspidal cross cap, Weierstrass representation, singularities, front, flat surface, maximal surface, swallowtail)
11.	2002～2004	TOPOLOGY OF MODULI SPACES AND REPRESENTATION THEORY (Key Word : anti-self-dual connection, representation theory0, moduli space, vector bundle, twistor operator, quaternion manifold, symmetric space, twistor space)
12.	2001～2003	Differential geometry of harmonic maps, minimal submanifolds and Yang-Mills-Higgs equations (Key Word : Lagrange submanifold, harmonic map, moduli space, differential geometry, minimal submanifold, Yang-Mills-Higgs equation)
13.	2000～2001	Homogeneous spaces and variational problems (Key Word : Kahler angle, variational problem, integral geometry, symmetric space, homogeneous space)
14.	1999～2000	Global Geometrical Approach to Contact Manifolds (Key Word : Self-dual Weyl conformal tensor, CR twistor space, Almost CR structure, Contact manifold)
15.	1999～2000	HARMONIC MAPS INTO SYMMETRIC SPACES AND GEOMETRY OF MODULI SPACES (Key Word : Symmetric space, Moduli space, Integrable system, Harmonic map, Yang-Mills-Higgs equation)
16.	1996～1997	Global Analysis of Manifolds and Conformal Structures (Key Word : CONFORMAL STRUCTURE, DIFFERENTIAL GEOMETRY, MANIFOLD)
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■ Email Addresses

■ Current Specialized Field

Geometry, Mathematical analysis (Key Word：moduli spaces, vector bundles, harmonic maps, representation theory, anti-self-dual connections, Lie groups, symmetric spaces, isoparametric functions)