|
Last modified date：2012.4.13
Masanori Morishita
Professor
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. |
M. Morishita,Analogies between knots and primes, 3-manifolds and number rings ,Sugaku expositions,Vol.23,No.1,pp.1--30,2010.07. |
| 2. |
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.. |
| 3. |
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. |
| 4. |
M. Morishita, Y. Terashima,Geometry of polysymbols,Mathematical Research Letters, 15, 95-116, 2008.,2008.04. |
| 5. |
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. |
| 6. |
J. Hillman, D. Matei and M. Morishita,Pro-p link groups and p-homology groups,Contemporary Math.,Vol. 416, 121-136,2006.10. |
| 7. |
M.Morishita,On the Alexander stratification in the deformation space of Galois characters,Kyushu J. Math.,vol.60, pp.405-414,2006.01. |
| 8. |
M.Morishita,Milnor invariants and Massey products for prime numbers,Compositio Math.,vol.140, pp.69-83,2004.01. |
| 9. |
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. |
| 10. |
M.Morishita,On certain analogies between knots and primes,J.Reine Angew. Math.,vol.550, pp.141-167,2002.01. |
Presentations
| 1. |
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.. |
| 2. |
M. Morishita, Number theory and 3-dimensional topology,
Japan-U.S Mathematical Institute, Baltimore, U.S.A.,
JAMI conference, 2003, March.
http://www.mathematics.jhu.edu/jami/jami2003/. |
| 3. |
M. Morishita, Higher linking symbols,
Conference on "Analogies between number fields and
function fields", Texel Island (The Netherlands),
2004, April.. |
| 4. |
M. Morishita, Higher linking symbols,
Conference on "Analogies between number fields and
function fields", Texel Island (The Netherlands),
2004, April.. |
| 5. |
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)
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
|
