Masanori Morishita | Last modified date：2015.7.7 |

Graduate School

Undergraduate School

E-Mail

Fax

092-802-4487

Academic Degree

Ph. D

Field of Specialization

Arithmetic Topology

Outline Activities

Summary of the research: Study of Arithmetic Topology:

I am working on the interaction between number theory and 3-dimensional topology from the view point of the analogy between primes and knots. I have obtained foundational results in arithmetic topology.

I am working on the interaction between number theory and 3-dimensional topology from the view point of the analogy between primes and knots. I have obtained foundational results in arithmetic topology.

Research

**Research Interests**

- Arithmetic Topology

keyword : Knots and Primes

1998.12.

**Academic Activities**

**Books**

1. | Masanori Morishita,Knots and Primes -- An Introduction to Arithmetic Topology,Springer,2011.12. |

**Papers**

1. | Fumiya Amano, Hisatoshi Kodani, Masanori Morishita, Takayuki Sakamoto, Takafumi Yoshida,Redei's triple symbols and modular forms,Tokyo J. Math. Vol. 36, no.2, 2013. |

2. | Junhyeung Kim, Hisatoshi Kodani, Masanori Morishita,Nilpotent class field theory for manifolds,Proceedings of Japan Academy,Vol.89,No.1,2013.01. |

3. | Masanori Morishita,Analogies between knots and primes, 3-manifolds and number rings ,Sugaku expositions,Vol.23,No.1,pp.1--30,2010.07. |

4. | M. Morishita, Y. Terashima,Chern-Simons variation and Deligne cohomology,in: Spectral Analysis in Geometry and Number Theory on Prof. Toshikazu Sunada's 60th birthday, Contemporary Math., AMS.. |

5. | M. Morishita,Milnor invariants and l-class groups,in Geometry and Dynamics of Groups and Spaces, In Memory of Alexander Reznikov, Progress in Math., Birkhauser, 589-603, 2008.,Vol.265, 589-603,2008.04. |

6. | M. Morishita, Y. Terashima,Geometry of polysymbols,Mathematical Research Letters, 15, 95-116, 2008.,2008.04. |

7. | M. Morishita, Y. Terashima,Arithmetic topology after Hida theory,Proceedings of `Intelligence of Low Dimensional Topology' in `Knots and Everything',Vol. 40, 213-222,2006.07. |

8. | J. Hillman, D. Matei and M. Morishita,Pro-p link groups and p-homology groups,Contemporary Math.,Vol. 416, 121-136,2006.10. |

9. | M.Morishita,On the Alexander stratification in the deformation space of Galois characters,Kyushu J. Math.,vol.60, pp.405-414,2006.01. |

10. | M.Morishita,Milnor invariants and Massey products for prime numbers,Compositio Math.,vol.140, pp.69-83,2004.01. |

11. | M.Morishita,On capitulation problem for 3-manifolds,Proceedings "Galois theory and Modular forms",Developments in Math., 11, Kluwer Acad. Publ. pp.305-313,2003.01. |

12. | M.Morishita,On certain analogies between knots and primes,J.Reine Angew. Math.,vol.550, pp.141-167,2002.01. |

**Presentations**

1. | 森下 昌紀,Johnson-Kawazumi maps in non-Abelian Iwasawa theory,Workshop: Johnson homomorphisms,2013.06. |

2. | Masanori Morishita,Milnor invariants and Maass wave forms,Quantum Topology and Hyperbolic Geometry, Nha Trang, Vietnam,2013.05. |

3. | Masanori Morishita,Johnson maps in non-Abelian Iwasawa theory,JAMI conference, In honor of Professor Takashi Ono, Johns Hopkins University,U.S.A,2013.04. |

4. | M. Morishita, Analogies between knots and primes, 3-manifolds and number fields, AMS National Meeting (No.983), Baltimore, Special Session "Primes and Knots", 2003, January.. |

5. | M. Morishita, Number theory and 3-dimensional topology, Japan-U.S Mathematical Institute, Baltimore, U.S.A., JAMI conference, 2003, March.,[URL]. |

6. | M. Morishita, Higher linking symbols, Conference on "Analogies between number fields and function fields", Texel Island (The Netherlands), 2004, April.. |

7. | M. Morishita, Higher linking symbols, Conference on "Analogies between number fields and function fields", Texel Island (The Netherlands), 2004, April.. |

8. | M. Morishita and Y. Terashima, Geometry of polysymbols, Conference on Algebraic number theory and related topics, RIMS, Kyoto Univ., 2005, December.. |

Educational

**Educational Activities**

Educational Activities

Linear algebra, Calculus, Algebra, Number Theory, Topology, Complex function theory

Intensive Lectures: Kyushu Univ. (2002), Kyoto Univ.(2005), Tohoku Univ.(2007),

Tokyo Univ.(2007), University of Heidelberg(2008),

KAIST(2009), Busan University(2010)

Linear algebra, Calculus, Algebra, Number Theory, Topology, Complex function theory

Intensive Lectures: Kyushu Univ. (2002), Kyoto Univ.(2005), Tohoku Univ.(2007),

Tokyo Univ.(2007), University of Heidelberg(2008),

KAIST(2009), Busan University(2010)

Social

Unauthorized reprint of the contents of this database is prohibited.