Updated on 2024/07/28

Information

 

写真a

 
MORISHITA MASANORI
 
Organization
Faculty of Mathematics Division of Algebra and Geometry Professor
School of Sciences Department of Mathematics(Joint Appointment)
Graduate School of Mathematics Department of Mathematics(Joint Appointment)
Joint Graduate School of Mathematics for Innovation (Joint Appointment)
Title
Professor
Contact information
メールアドレス
Profile
Summary of the research: Study of Arithmetic Topology: I am working on the interaction between number theory, 3-dimensional topology and mathematical physics from the view point of the analogy between primes and knots. I have obtained foundational results in arithmetic topology. Teaching: linear algebra, calculus, geometry, number theory, algebraic geometry, topology. Advising: Master degree 11 students, Doctoral degree 7 students.

Degree

  • Ph. D

Research History

  • 金沢大学:1992年7月〜2005年3月

Research Interests・Research Keywords

  • Research theme:Arithmetic Topology

    Keyword:Knots and Primes

    Research period: 1998.12

Papers

  • On arithmetic Dijkgraaf-Witten theory Invited Reviewed International journal

    Hikaru Hirano, Junhyeong Kim, Masanori Morishita

    Communications in Number Theory and Physics, Vol.17, 2023   2023.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • On Adjoint Homological Selmer Modules for SL2-Representations of Knot Groups Reviewed International journal

    Takahiro Kitayama, Masanori Morishita, Ryoto Tange, Yuji Terashima

    International Mathematics Research Notices, rnac255, 2022   2022.9

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    Language:English   Publishing type:Research paper (scientific journal)  

  • On 3-dimensional foliated dynamical systems and Hilbert type reciprocity law Invited Reviewed International journal

    Junhyeong Kim, Masanori Morishita, Takeo Noda, Yuji Terashima

    ( https://hyoka-lab.ir.kyushu-u.ac.jp/search/image/sel_kokai.svg )   2021.7

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Arithmetic topology in Ihara theory II: Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols Invited Reviewed International journal

    Hikaru Hirano, Masanori Morishita

    2019.3

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    Language:English   Publishing type:Research paper (scientific journal)  

  • On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field, Research in Number Theory, 4, (2018), 4:7 Reviewed International journal

    Fumiya Amano, Yasushi Mizusawa, Masanori Morishita

    Research in Number Theory, 4, (2018), 4:7   2018.12

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    Language:English   Publishing type:Research paper (scientific journal)  

  • On certain L-functions for deformations of knot group representations, Transactions of AMS., Number 5, (2018), 3171–3195 Invited Reviewed International journal

    Transactions of AMS., Number 5, (2018), 3171–3195   2018.12

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    Language:English   Publishing type:Research paper (scientific journal)  

  • On the universal deformations for SL_2-representations of knot groups, Tohoku Math. J., 69 (2017), 67-84

    Masanori Morishita, Yu Takakura, Yuji Terashima, Jun Ueki

    Tohoku Math. J., 69 (2017), 67-84   2017.12

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    Language:English  

  • p-Johnson homomorphisms and pro-p groups, Journal of Algebra, 479 (2017), 102-136 Invited Reviewed International journal

    Masanori Morishita, Yuji Terashima

    Journal of Algebra, 479 (2017), 102-136   2017.12

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Arithmetic topology in Ihara theory, Publ. Res. Inst. Math. Sci. 53 (2017), no. 4, 629–688 Invited Reviewed International journal

    53 ( 4 )   629 - 688   2017.12

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Nilpotent class field theory for manifolds

    Junhyeung Kim, Hisatoshi Kodani, Masanori Morishita

    Proceedings of Japan Academy   89 ( 1 )   15 - 19   2013.1

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    Language:English  

  • Analogies between knots and primes, 3-manifolds and number rings

    Masanori Morishita

    Sugaku expositions   23 ( 1 )   2010.7

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    Language:English  

  • Milnor invariants and l-class groups International journal

    M. Morishita

    in Geometry and Dynamics of Groups and Spaces, In Memory of Alexander Reznikov, Progress in Math., Birkhauser, 589-603, 2008.   2008.4

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • Geometry of polysymbols Reviewed International journal

    M. Morishita, Y. Terashima

    Mathematical Research Letters, 15, 95-116, 2008.   2008.4

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Pro-p link groups and p-homology groups International journal

    J. Hillman, D. Matei and M. Morishita

    Contemporary Math.   2006.10

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Arithmetic topology after Hida theory Invited Reviewed International journal

    M. Morishita, Y. Terashima

    Proceedings of `Intelligence of Low Dimensional Topology' in `Knots and Everything'   2006.7

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • 素数と結び目の類似について International journal

    森下昌紀

    数学, 日本数学会/岩波   2006.1

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    Publishing type:Research paper (scientific journal)  

  • On the Alexander stratification in the deformation space of Galois characters International journal

    M.Morishita

    Kyushu J. Math.   2006.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    Repository Public URL: http://hdl.handle.net/2324/3337

  • Milnor invariants and Massey products for prime numbers International journal

    M.Morishita

    Compositio Math.   2004.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • On capitulation problem for 3-manifolds International journal

    M.Morishita

    Proceedings "Galois theory and Modular forms"   2003.1

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • On certain analogies between knots and primes International journal

    M.Morishita

    J.Reine Angew. Math.   2002.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Redei's triple symbols and modular forms

    Fumiya Amano, Hisatoshi Kodani, Masanori Morishita, Takayuki Sakamoto, Takafumi Yoshida

    Tokyo J. Math. Vol. 36, no.2, 2013   1900

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    Language:English  

  • Chern-Simons variation and Deligne cohomology Invited Reviewed International journal

    M. Morishita, Y. Terashima

    in: Spectral Analysis in Geometry and Number Theory on Prof. Toshikazu Sunada's 60th birthday, Contemporary Math., AMS.   1900

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    Language:English   Publishing type:Research paper (international conference proceedings)  

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Books

  • Knots and Primes - An Introduction to Arithmetic Topology, 2nd edition, Universitext

    Masanori Morishita( Role: Sole author)

    Springer  2024.6 

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    Language:English   Book type:Scholarly book

    Other Link: https://link.springer.com/book/9789819992546

  • Knots and Primes -- An Introduction to Arithmetic Topology

    Masanori Morishita( Role: Sole author)

    Springer  2011.12 

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    Language:English   Book type:Scholarly book

    Repository Public URL: http://hdl.handle.net/2324/1001465743

  • 結び目と素数

    森下昌紀( Role: Sole author)

    現代数学シリーズ 15, シュプリンガー・ジャパン  2009.4 

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    Book type:General book, introductory book for general audience

Presentations

  • Arithmetic Chern-Simons theory and metaplectic theory Invited

    Masanori Morishita

    Gauge Fields in Arithmetic, Topology and Physics  2024.4 

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    Event date: 2024.4

    Language:English  

    Country:United Kingdom  

  • Knots and Primes - What do primes look like ? Invited International conference

    Masanori Morishita

    Public Lecture, Australia National University  2024.3 

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    Event date: 2024.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Australia  

  • Class field theory in arithmetic topology Invited International conference

    Masanori Morishita

    Algebra - Topology Seminar, Australia National University  2024.3 

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    Event date: 2024.3

    Language:English  

    Country:Australia  

  • On reciprocity laws in arithmetic topology Invited International conference

    Masanori Morishita

    Colloquium, Australia National University  2024.3 

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    Event date: 2024.3

    Language:English  

    Country:Australia  

  • On reciprocity laws in arithmetic topology Invited International conference

    Masanori Morishita

    Topology Seminar, Universidade de Santiago de Compostela  2024.1 

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    Event date: 2024.1

    Language:English   Presentation type:Oral presentation (general)  

    Country:Spain  

  • Reciprocity laws in arithmetic topology Invited

    Masanori Morishita

    The University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe, Mathematics - String Seminar  2023.12 

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    Event date: 2023.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Class field theory for 3-dimensional foliated dynamical systems Invited International conference

    Masanori Morishita

    Colloquium, Seoul National University  2023.10 

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    Event date: 2023.10

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  • Symbols on 3-manifolds and conformal field theory Invited International conference

    Masanori Morishita

    Gauge Fields in Arithmetic, Topology and Physics, ICMS, Edinburgh  2023.3 

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    Event date: 2023.6 - 2023.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:United Kingdom  

  • Arithmetic Topology and Arithmetic TQFT Invited International conference

    Masanori Morishita

    Seminar, Muenster University  2022.8 

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    Event date: 2022.8

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:Germany  

  • Arithmetic topology and arithmetic TQFT Invited International conference

    Masanori Morishita

    2022.5 

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    Event date: 2022.1

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:Japan  

  • On arithmetic Dijkgraaf-Witten theory Invited International conference

    Masanori Morishita

    2021.12 

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    Event date: 2021.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • On arithmetic topology and arithmetic Dijkgraaf-Witten theory Invited International conference

    Masanori Morishita

    The University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe, Mathematics - String Seminar (Online)  2021.2 

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    Event date: 2021.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • On arithmetic Dijkgraaf-Witten theory Invited International conference

    Masanori Morishita

    Institute of Mathematics of the Romanian Academy, Geometric Method in Algabra and Topology Seminar (Online)  2021.2 

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    Event date: 2021.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • On 3-demensional foliated dynamical systems and Hilbert type reciprocity law Invited International conference

    Masanori Morishita

    JAMI confeence, Riemann-Roch in characteristic one and related topics  2020.10 

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    Event date: 2020.10

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  • Arithmetic topology in Ihara theory: Milnor invariants, Heisenberg coverings and triple power residue symbols Invited International conference

    Masanori Morishita

    Profinite monodromy, Galois representations and Complex functions, in honor of Professor Yasutaka Ihara's 80th birthday  2018.5 

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    Event date: 2018.5 - 2018.6

    Language:English  

    Country:Japan  

    Other Link: http://www2.math.kyushu-u.ac.jp/~mkaneko/Ihara80/index.html

  • On 3-dimensional foliated dynamial systems and Hilbert reciprocity law Invited International conference

    Masanori Morishita

    Arithmetic and Analysis in honor of Christopher Deninger's 60th birthday, Muenster University, Germany  2018.4 

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    Event date: 2018.4

    Language:English  

    Country:Germany  

    Other Link: https://www.uni-muenster.de/SFB878/activities/AaA_announce.html

  • Arithmetic topology on deformations of knot group representations International conference

    Masanori Morishita

    Number Theory and Quantum Field Theory, CGP of IBS  2016.8 

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    Event date: 2016.8

    Language:English  

    Country:Korea, Republic of  

    Other Link: https://cgp.ibs.re.kr/conferences/NTQFT/

  • Arithmetic topology in Ihara theory Invited International conference

    Masanori Morishita

    Grothendieck-Teichmuller theory, Chern Institute  2016.7 

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    Event date: 2016.7

    Language:English  

    Country:China  

  • Knots and Primes - An Introduction to Atithmetic Topology International conference

    M. Morishita

    Japan-Taiwan Joint Conference on Number Theory  2012.9 

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    Event date: 2012.9

    Country:Japan  

  • Johnson maps in non-Abelian Iwasawa theory Invited International conference

    M. Morishita

    Oberwolfach workshop "Low dimensional topology and number theory"  2012.8 

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    Event date: 2012.8

    Presentation type:Oral presentation (general)  

    Country:Germany  

  • The universal deformation and the associated homological invariants for hyperbolic knots International conference

    M. Morishita(Joint with Y. Terashima)

    Oberwolfach workshop, Low dimensional topology and number theory  2010.8 

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    Event date: 2010.9

    Country:Germany  

  • Analogies between knot theory and number theory International conference

    M. Morishita

    Lectures at KAIST  2010.2 

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    Event date: 2010.2

    Language:English  

    Country:Korea, Republic of  

    Other Link: https://www.youtube.com/watch?v=tnLstfIeQm4

  • 結び目と素数 -- 双曲幾何と肥田理論の類似性について Invited

    森下昌紀

    日本数学会幾何学分科会  2009.3 

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    Event date: 2009.3

    Venue:東大   Country:Japan  

  • 結び目と素数の類似について Invited

    森下昌紀

    日本数学会トポロジー分科会  2006.3 

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    Event date: 2006.3

    Venue:中央大   Country:Japan  

  • Geometry of polysymbols

    M.Morishita, and Y. Terashima

    Conference on Algebraic number theory and related topics, Kyoto  2005.12 

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    Presentation type:Oral presentation (general)  

    Country:Japan  

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

  • Higher linking symbols International conference

    M. Morishita

    Conference on ``Analogies between number fields and function fields'', Netherland  2004.4 

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    Country:Netherlands  

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

  • Pro-$p$ link groups and $p$-homology groups International conference

    M.Morishita, J.Hillman and D. Matei

    Workshop on Topology and Geometry, Hiroshima  2003.4 

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    Presentation type:Oral presentation (general)  

    Country:United States  

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

  • Number theory and 3-dimensional topology International conference

    M.Morishita

    JAMI conference, Baltimore, 2003  2003.3 

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    Presentation type:Oral presentation (general)  

    Country:United States  

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

    Other Link: http://www.mathematics.jhu.edu/jami/jami2003/

  • Analogies between knots and primes, 3-manifolds and number fields International conference

    M.Morishita

    AMS National Meeting (No.983), Special Session "Primes and Knots", Baltimore  2003.1 

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    Presentation type:Oral presentation (general)  

    Country:United States  

    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.

  • Arithmetic Topology after Iwasawa-Hida theory Invited International conference

    M. Morishita

    Geometry and Dynamics of Groups and Spcaces, Alexander Reznikov memorial conference, Max Planck Inst.  2006.9 

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    Presentation type:Oral presentation (general)  

    Country:Germany  

  • Chern-Simons variation and Hida-Mazur theory Invited International conference

    M. Morishita(Joint with Y. Terashima)

    Spectral Analysis in Geometry and Number Theory on Prof. Toshikazu Sunada's 60th birthday  2007.8 

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    Presentation type:Oral presentation (general)  

    Country:Japan  

  • Chern-Simons variation and Hida-Mazur theory Invited International conference

    M. Morishita (Joint with Y. Terashima)

    ``Low Dimensional Topology and Number Theory'', Banff, Canada  2007.10 

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    Country:Canada  

  • Analogies between knot theory and number theory Invited International conference

    M. Morishita

    Invited lectures at Mathematics Center, University of Heidelberg  2008.11 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:Germany  

  • 結び目と素数 - 数論的位相幾何学入門 Invited

    森下昌紀

    仙台シンポジウム  2011.8 

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    Venue:東北大学情報科学研究科   Country:Japan  

  • 数論的位相幾何学と数論的場の理論 Invited

    森下昌紀

    代数学シンポジウム  2011.8 

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    Venue:岡山大   Country:Japan  

  • Knots and Primes International conference

    M. Morishita

    Tata Institute of Fundamental Research  2012.2 

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    Country:India  

  • Redei記号の多重化とMaass波動形式, Johnson maps in non-Abelian Iwasawa theory

    森下 昌紀

    北陸数論研究集会  2012.12 

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    Language:Japanese  

    Country:Japan  

  • Johnson maps in non-Abelian Iwasawa theory

    2013.3 

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    Language:Japanese  

    Country:Japan  

  • Johnson maps in non-Abelian Iwasawa theory International conference

    Masanori Morishita

    JAMI conference, In honor of Professor Takashi Ono, Johns Hopkins University,U.S.A  2013.4 

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    Language:English  

    Country:United States  

  • Milnor invariants and Maass wave forms Invited International conference

    Masanori Morishita

    Quantum Topology and Hyperbolic Geometry, Nha Trang, Vietnam  2013.5 

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    Language:English  

    Country:Viet Nam  

  • 結び目理論と整数論 -- 数論的位相幾何学

    森下 昌紀

    Encounter with Mathematics, 中央大学  2013.5 

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    Language:Japanese  

    Country:Japan  

  • Johnson-Kawazumi maps in non-Abelian Iwasawa theory Invited International conference

    Workshop: Johnson homomorphisms, University of Tokyo  2013.6 

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    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Arithmetic Milnor invariants and multiple power residue symbols in number fields

    Masanori Morishita

    2014.12 

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    Language:Japanese  

    Country:Japan  

  • On local symbols and the reciprocity law for foliated dynamical systems on 3-manifolds

    Masanori Morishita

    Arithmetic Chern-Simons Theory, Leiden University, Holland  2017.5 

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    Language:English  

    Country:Netherlands  

    Other Link: https://www.youtube.com/watch?v=F0yPG58X3oE

  • Milnor invariants in Ihara theory and triple power residue symbols

    Masanori Morishita

    Low-dimensional Topology and Number Theory, Oberwolfach, Germany  2017.8 

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    Language:English  

    Country:Germany  

  • On local symbols and the reciprocity law for foliated dynamical systems on 3-manifolds

    2017.12 

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    Language:Japanese  

    Country:Japan  

  • Variations of hyperbolic structures on a knot complement and of modular Galois representations Invited

    M. Morishita(Joint with Y. Terashima)

    ``Intelligence of Low Dimensional Topology'', Hiroshima, 2006  2006.7 

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    Presentation type:Oral presentation (general)  

    Country:Japan  

    M.Morishita, Variations of hyperbolic structures on a knot complement
    and of modular Galois representations,
    Intelligence of Low Dimensional Topology,
    Hiroshima Univ. 2006

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MISC

  • ガウスと2(次) Reviewed

    森下昌紀

    数学セミナー  21-23   2021.12

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 素数のイデアと描像 Reviewed

    森下昌紀

    数理科学(サイエンス社)   2019.12

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 平方剰余と結び目

    森下 昌紀

    数学セミナー, 日本評論社   2016.1

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 結び目と素数 -- 数論的位相幾何学 --

    森下昌紀

    「日本の現代数学」, 数学書房   2010.6

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    Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 数論と結び目不変量

    森下昌紀

    数理科学, サイエンス社   2009.10

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    Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • あきらめないで, 数学の道しるべ5~研究者の道とは何か~

    森下昌紀

    数理科学, サイエンス社   2008.12

  • 幾何学と数論--結び目群とGalois群の表現のモジュライ--.

    森下昌紀

    数理科学, サイエンス社   2005.8

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 素数と結び目

    森下昌紀

    数学のたのしみ、日本評論社   2004.9

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 数論と3次元トポロジー

    森下昌紀

    数理科学、サイエンス社   2003.6

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 数論的位相幾何学と数論的場の理論

    森下昌紀

    代数学シンポジウム報告集   2011.12

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    Publishing type:Internal/External technical report, pre-print, etc.  

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Professional Memberships

  • 日本数学会

Academic Activities

  • 科学研究費助成事業 審査委員

    Role(s): Review, evaluation

    2024.4 - 2025.3

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    Type:Scientific advice/Review 

  • 主催者 International contribution

    ( 福岡 ) 2024.3

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2024

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • 主催者 International contribution

    2023.3

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    Type:Competition, symposium, etc. 

  • 主催者 International contribution

    ( 福岡 ) 2023.3

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2023

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:6

  • 科学研究費助成事業 審査委員

    Role(s): Review, evaluation

    2022.4 - 2023.3

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    Type:Scientific advice/Review 

  • 主催者 International contribution

    ( 福岡 ) 2022.3

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2022

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • 科学研究費助成事業 審査委員

    Role(s): Review, evaluation

    2021.4 - 2022.3

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    Type:Scientific advice/Review 

  • Screening of academic papers

    Role(s): Peer review

    2020

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:4

  • 主催者 International contribution

    ( 大阪大学 ) 2019.3

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    Type:Competition, symposium, etc. 

  • 主催者 International contribution

    ( 福岡 ) 2018.3

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2018

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:1

  • 主催者 International contribution

    ( 福岡 ) 2017.3

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    Type:Competition, symposium, etc. 

  • 主催者 International contribution

    ( 福岡 ) 2016.3

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    Type:Competition, symposium, etc. 

  • 主催者 International contribution

    ( 福岡 ) 2015.3

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    Type:Competition, symposium, etc. 

  • 主催者 International contribution

    ( 福岡 ) 2014.3

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    Type:Competition, symposium, etc. 

  • 主催者 International contribution

    ( 福岡 ) 2013.3

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    Type:Competition, symposium, etc. 

  • 主催者 International contribution

    ( 福岡 ) 2012.3

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    Type:Competition, symposium, etc. 

  • 科学研究費助成事業 審査委員

    Role(s): Review, evaluation

    2011.4 - 2012.3

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    Type:Scientific advice/Review 

  • 主催者 International contribution

    ( 福岡 ) 2011.3

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    Type:Competition, symposium, etc. 

  • 主催者 International contribution

    ( 東京 ) 2010.3

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    Type:Competition, symposium, etc. 

  • 主催者 International contribution

    ( 福岡 ) 2009.3

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    Type:Competition, symposium, etc. 

  • Primes and Knots, Contemporary Mathematics, American Mathematical Society, 2006 International contribution

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    Type:Academic society, research group, etc. 

  • Low Dimensional Topology and Number Theory, Springer Proceedings in Mathematics & Statistics, In Memory of Professor Toshie Takata International contribution

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    Type:Academic society, research group, etc. 

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Research Projects

  • 数論的位相幾何学に基づく数論的場の量子論の構築と絶対幾何学との融合

    Grant number:22K03270  2022 - 2025

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 数論的位相幾何学の深化と新展開

    Grant number:17H02837  2017 - 2020

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 数論的位相幾何学の発展と数論的場の理論

    Grant number:24340005  2012 - 2015

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 数論的位相幾何学の発展と応用

    Grant number:21340010  2009 - 2011

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 数論的位相幾何学の育成

    Grant number:19540038  2007 - 2008

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 数論的位相幾何学の基礎づけと育成

    Grant number:17540020  2005 - 2006

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 代数的整数論と3次元トポロジーの相互啓発的研究

    2003 - 2004

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 素数と結び目、代数体の数論と3次元トポロジーの類似・融合

    2001 - 2002

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Authorship:Principal investigator  Grant type:Scientific research funding

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Educational Activities

  • Educational Activities
    Lectures: Linear algebra, Calculus, Algebra, Geometry, Number Theory (Arithmetic Topology), Algebraic Geometry, Topology (Knot Theory), Complex function theory
    Intensive Lectures: Kyushu Univ., Kyoto Univ., Tohoku Univ., Univ. of Tokyo, University of Heidelberg, KAIST, Busan Univ.
    Advising graduate students: Master degree 11 students, Doctoral degree 7 students

Class subject

  • 線形代数学II

    2024.10 - 2025.3   Second semester

  • 線形代数学I

    2024.4 - 2024.9   First semester

  • 位相幾何学基礎・演習

    2024.4 - 2024.9   First semester

  • 幾何学I

    2023.4 - 2023.9   First semester

  • 数論基礎・演習

    2023.4 - 2023.9   First semester

  • MMA講究A

    2023.4 - 2023.9   First semester

  • MMA講究C

    2022.10 - 2023.3   Second semester

  • 幾何学I

    2022.4 - 2022.9   First semester

  • 幾何学II

    2021.10 - 2022.3   Second semester

  • 代数幾何学基礎・演習

    2021.4 - 2021.9   First semester

  • 数学展望

    2021.4 - 2021.9   First semester

  • 微分積分III

    2021.4 - 2021.9   First semester

  • 幾何学II

    2020.10 - 2021.3   Second semester

  • 代数幾何学基礎・演習

    2020.4 - 2020.9   First semester

  • 数学展望

    2020.4 - 2020.9   First semester

  • 微分積分III

    2020.4 - 2020.9   First semester

  • 微分積分

    2019.4 - 2019.9   First semester

  • 数論基礎・演習

    2019.4 - 2019.9   First semester

  • 微分積分

    2018.10 - 2019.3   Second semester

  • 初等整数論

    2018.10 - 2019.3   Second semester

  • 数論基礎・演習

    2018.4 - 2018.9   First semester

  • 微分積分学

    2017.10 - 2018.3   Second semester

  • 初等整数論

    2017.10 - 2017.12   Fall quarter

  • MMA講究

    2016.4 - 2016.9   First semester

  • 数学演習IB

    2015.10 - 2016.3   Second semester

  • 数論基礎・演習

    2015.4 - 2015.9   First semester

  • 数論大意

    2015.4 - 2015.9   First semester

  • 数学演習IB

    2014.10 - 2015.3   Second semester

  • 代数幾何学大意

    2014.4 - 2014.9   First semester

  • 代数幾何学大意

    2013.10 - 2014.3   Second semester

  • 幾何学II

    2013.10 - 2014.3   Second semester

  • 線形代数

    2012.10 - 2013.3   Second semester

  • 幾何学II

    2012.10 - 2013.3   Second semester

  • 数論基礎・演習

    2012.10 - 2013.3   Second semester

  • 複素関数論

    2011.10 - 2012.3   Second semester

  • 線形代数

    2011.4 - 2012.3   Full year

  • 微分積分続論

    2011.4 - 2011.9   First semester

  • 位相幾何学

    2010.10 - 2011.3   Second semester

  • 線形代数

    2010.10 - 2011.3   Second semester

  • 複素関数論

    2010.10 - 2011.3   Second semester

  • 微分積分続論

    2010.4 - 2010.9   First semester

  • 数学特論(代数)

    2009.10 - 2010.3   Second semester

  • 結び目理論

    2009.4 - 2009.9   First semester

  • 微分積分続論

    2009.4 - 2009.9   First semester

  • 基礎数学演習

    2009.4 - 2009.9   First semester

  • 幾何学A

    2008.10 - 2009.3   Second semester

  • 微分積分

    2008.4 - 2009.3   Full year

  • 線形代数

    2008.4 - 2009.3   Full year

  • 幾何学A

    2007.10 - 2008.3   Second semester

  • 線形代数

    2007.4 - 2008.3   Full year

  • 幾何学的類体論

    2007.4 - 2007.9   First semester

  • 幾何学A

    2006.10 - 2007.3   Second semester

  • 数論的位相幾何学

    2006.4 - 2006.9   First semester

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FD Participation

  • 2024.4   Role:Participation   Title:数理学研究院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2022.5   Role:Participation   Title:数理学研究院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2019.3   Role:Participation   Title:数理学研究院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2018.7   Role:Participation   Title:数理学研究院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2018.3   Role:Participation   Title:数理学研究院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2017.7   Role:Participation   Title:数理学研究院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2017.3   Role:Moderator   Title:数理学研究院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2016.7   Role:Moderator   Title:数理学研究院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2016.3   Role:Participation   Title:数理学研究院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

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Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

  • 2010  釜山大学  Domestic/International Classification:Overseas 

    Semester, Day Time or Duration:9月

  • 2008  University of Heidelberg  Domestic/International Classification:Overseas 

    Semester, Day Time or Duration:11月

  • 2007  東北大学, 理学研究科  Classification:Intensive course 

    Semester, Day Time or Duration:後期

  • 2007  東京大学, 数理科学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:後期

  • 2007  近畿大学  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:12月

  • 2005  京都大学理学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:後期

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Other educational activity and Special note

  • 2017  Special Affairs 

  • 2017  Special Affairs 

  • 2011  Special Affairs 

Outline of Social Contribution and International Cooperation activities

  • Annual meeting of AMS, Special Session`Primes and Knots' Organizer(2003)
    Japan-U.S Mathematical Institute Conference `Primes and Knots' at Johns Hopkins University, USA Organizer(2003)
    Lectures at high schools in Ishikawa and Fukui (2003, 2004)
    Muenster Research Fellow, Muenster University (2022, July-August)
    Gauge Fields in Arithmetic, Topology and Physics, ICMS, Edinburgh, Scotland (2023, March)

Social Activities

  • 結び目と素数

    舞鶴高校  2017.10

     More details

    Audience: Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • 結び目と素数

    東筑高校  2017.9

     More details

    Audience: Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

Acceptance of Foreign Researchers, etc.

  • Chennai Mathematical Institute

    Acceptance period: 2024.3  

    Nationality:India

  • University of Pennsylvania and University of Haifa

    Acceptance period: 2024.3  

    Nationality:Israel

  • Australian National University

    Acceptance period: 2023.3 - 2023.4   (Period):Less than 2 weeks

    Nationality:Australia

    Business entity:Japan Society for the Promotion of Science

  • USC

    Acceptance period: 2023.3 - 2023.4   (Period):Less than 2 weeks

    Nationality:Spain

    Business entity:Japan Society for the Promotion of Science

  • University of South Alabama

    Acceptance period: 2009.3   (Period):Less than 2 weeks

    Nationality:United States

    Business entity:Japan Society for the Promotion of Science

  • University of South Alabama

    Acceptance period: 2009.3   (Period):Less than 2 weeks

    Nationality:United States

    Business entity:Japan Society for the Promotion of Science

  • University of Sydney

    Acceptance period: 2006.12  

    Nationality:Australia

    Business entity:Japan Society for the Promotion of Science

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Travel Abroad

  • 2024.11

    Staying countory name 1:United States   Staying institution name 1:Johns Hopkins University

  • 2024.3

    Staying countory name 1:Australia   Staying institution name 1:Australia National University

  • 2024.1

    Staying countory name 1:Spain   Staying institution name 1:Universidade de Santiago de Compostela

  • 2024.1

    Staying countory name 1:Germany   Staying institution name 1:Muenster University

  • 2023.12

    Staying countory name 1:United States   Staying institution name 1:Harvard University

  • 2023.11 - 2023.12

    Staying countory name 1:United States   Staying institution name 1:Institute for Advanced Study

  • 2023.10

    Staying countory name 1:Korea, Republic of   Staying institution name 1:Seoul National University

  • 2023.3

    Staying countory name 1:United Kingdom   Staying institution name 1:International Centre for Mathematical Sciences, Edinburgh

  • 2022.7 - 2022.8

    Staying countory name 1:Germany   Staying institution name 1:Muenster University (Muenster Research Fellow)

  • 2018.4

    Staying countory name 1:Germany   Staying institution name 1:Muenster University

  • 2013.5

    Staying countory name 1:Viet Nam   Staying institution name 1:Nha Trang College of Education

  • 2013.4

    Staying countory name 1:United States   Staying institution name 1:Johns Hopkins University

  • 2012.9

    Staying countory name 1:Taiwan, Province of China   Staying institution name 1:National Center for Theoretical Science

  • 2012.8

    Staying countory name 1:Germany   Staying institution name 1:Mathematisches Forschungsinstitut Oberwolfach

  • Staying countory name 1:Netherlands   Staying institution name 1:Leiden University

  • Staying countory name 1:Taiwan, Province of China   Staying institution name 1:National Center for Theoretical Science

  • Staying countory name 1:India   Staying institution name 1:Tata Institute of Fundamental Research

  • Staying countory name 1:Korea, Republic of   Staying institution name 1:Pusan University

  • Staying countory name 1:Germany   Staying institution name 1:Mathematisches Forschungsinstitut Oberwolfach

  • Staying countory name 1:Korea, Republic of   Staying institution name 1:Korea Advanced Institute of Science and Technology

  • Staying countory name 1:Germany   Staying institution name 1:University of Heidelberg

  • Staying countory name 1:Korea, Republic of   Staying institution name 1:Korea Institute for Advanced Study

  • Staying countory name 1:Germany   Staying institution name 1:Max Planck Institute

  • Staying countory name 1:United States   Staying institution name 1:Johns Hopkins University

  • Staying countory name 1:Canada   Staying institution name 1:University of Toronto

  • Staying countory name 1:Australia   Staying institution name 1:University of Sydney

  • Staying countory name 1:China   Staying institution name 1:Chern Institute of Mathematics

  • Staying countory name 1:Korea, Republic of   Staying institution name 1:Center of Geometry and Physics, Institute of Basic Science

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