Masanori Morishita | Last modified date：2016.08.30 |

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. | Masanori Morishita, Takahiro Kitayama, Ryoto Tange, Yuji Terashima, On certain L-functions for deformations of knot group representations, to appear in Transactions of AMS., 2016. |

2. | 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. |

3. | Junhyeung Kim, Hisatoshi Kodani, Masanori Morishita, Nilpotent class field theory for manifolds, Proceedings of Japan Academy, 89, 1, 2013.01. |

4. | Masanori Morishita, Analogies between knots and primes, 3-manifolds and number rings , Sugaku expositions, 23, 1, 1--30, 2010.07. |

5. | 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.. |

6. | 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. |

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

8. | 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. |

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

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

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

12. | 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. |

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

**Presentations**

1. | Masanori Morishita, Arithmetic topology on deformations of knot group representations, Number Theory and Quantum Field Theory, CGP of IBS, 2016.08. |

2. | Masanori Morishita, Arithmetic topology in Ihara theory, Grothendieck-Teichmuller theory, Chern Institute, 2016.07. |

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

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

5. | 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. |

6. | 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.. |

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

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

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

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

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