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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.
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..
Educational
Social
Professional and Outreach Activities
Annual meeting of AMS, Special Session`Primes and Knots' Organizer(2003)
Japan-U.S Mathematical Institute Conference `Primes and Knots' Organizer(2003)
Lectures at high schools in Ishikawa and Fukui (2003, 2004)wa-ku.