Updated on 2024/10/07

写真b

 
MIZUSAWA Yasushi
 
*Items subject to periodic update by Rikkyo University (The rest are reprinted from information registered on researchmap.)
Affiliation*
College of Science Department of Mathematics
Graduate School of Science Doctoral Program in Mathematics
Graduate School of Science Master's Program in Mathematics
Title*
Professor
Research Theme*
  • 素数たちの高次での様子を調べる代数的整数論を主な研究テーマとし、岩澤理論や数論トポロジーなどの問題意識に基づいて研究を行っている。特に、ガロア理論と類体論による群論的手法や計算機整数論などを応用して、より高次や無限次での様子を捉えることを目指している。

  • Campus Career*
    • 4 2023 - Present 
      College of Science   Department of Mathematics   Professor
    • 4 2023 - Present 
      Graduate School of Science   Master's Program in Mathematics   Professor
    • 4 2023 - Present 
      Graduate School of Science   Doctoral Program in Mathematics   Professor
     

    Research Areas

    • Natural Science / Algebra  / Number theory / Algebraic number theory

    Papers

    • On metabelian 2-class field towers over Z2-extensions of real quadratic fields Peer-reviewed

      Yasushi Mizusawa

      Canadian Mathematical Bulletin65 ( 3 ) 795 - 805   2022

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    • On pro-p-extensions of number fields with restricted ramification over intermediate Zp-extensions Peer-reviewed

      Abdelaziz El Habibi, Yasushi Mizusawa

      Journal of Number Theory231   214 - 238   2022

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    • On various pro-p-extensions of number fields with restricted ramification --- a survey Peer-reviewed

      Yasushi Mizusawa

      RIMS Kôkyûroku BessatsuB86   107 - 119   2021

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    • On p-class groups of relative cyclic p-extensions Peer-reviewed

      Yasushi Mizusawa, Kota Yamamoto

      Archiv der Mathematik117 ( 3 ) 253 - 260   2021

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    • On 2-adic Lie iterated extensions of number fields arising from a Joukowski map Peer-reviewed

      Yasushi Mizusawa, Kota Yamamoto

      Tokyo Journal of Mathematics44 ( 1 ) 69 - 82   2021

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    • Iwasawa invariants and linking numbers of primes Peer-reviewed

      Yasushi Mizusawa, Gen Yamamoto

      Advanced Studies in Pure Mathematics86 ( Development of Iwasawa theory - the Centennial of K. Iwasawa's Birth ) 639 - 654   2020

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    • Iterated towers of number fields by a quadratic map defined over the Gaussian rationals Peer-reviewed

      Yasushi Mizusawa, Kota Yamamoto

      Proceedings of the Japan Academy, Series A, Mathematical Sciences96 ( 8 ) 63 - 68   2020

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    • On pro-p link groups of number fields Peer-reviewed

      Yasushi Mizusawa

      Transactions of the American Mathematical Society372 ( 10 ) 7225 - 7254   2019

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    • On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field Peer-reviewed

      Fumiya Amano, Yasushi Mizusawa, Masanori Morishita

      Research in Number Theory4   Article 7   2018

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    • Tame pro-2 Galois groups and the basic Z2-extension Peer-reviewed

      Yasushi Mizusawa

      Transactions of the American Mathematical Society370 ( 4 ) 2423 - 2461   2018

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    • On certain 2-extensions of Q unramified at 2 and ∞ Peer-reviewed

      Yasushi Mizusawa

      Osaka Journal of Mathematics53 ( 4 ) 1063 - 1088   2016

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    • A note on semidihedral 2-class field towers and Z2-extensions Peer-reviewed

      Yasushi Mizusawa

      Annales mathématiques du Québec38 ( 1 ) 73 - 79   2014

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    • On tamely ramified pro-p-extensions over Zp-extensions of Q Peer-reviewed

      Tsuyoshi Itoh, Yasushi Mizusawa

      Mathematical Proceedings of the Cambridge Philosophical Society156 ( 2 ) 281 - 294   2014

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    • Isometric embeddings of finite fields Peer-reviewed

      Yasushi Mizusawa, Shinya Nishikawa

      Finite Fields and Their Applications25   134 - 145   2014

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    • On the Zp-ranks of tamely ramified Iwasawa modules Peer-reviewed

      Tsuyoshi Itoh, Yasushi Mizusawa, Manabu Ozaki

      International Journal of Number Theory9 ( 6 ) 1491 - 1503   2013

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    • On the Iwasawa invariants of a link in the 3-sphere Peer-reviewed

      Teruhisa Kadokami, Yasushi Mizusawa

      Kyushu Journal of Mathematics67 ( 1 ) 215 - 226   2013

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    • On tame pro-p Galois groups over basic Zp-extensions Peer-reviewed

      Yasushi Mizusawa, Manabu Ozaki

      Mathematische Zeitschrift273 ( 3 ) 1161 - 1173   2013

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    • On unramified Galois 2-groups over Z2-extensions of real quadratic fields Peer-reviewed

      Yasushi Mizusawa

      Proceedings of the American Mathematical Society138 ( 9 ) 3095 - 3103   2010

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    • On the maximal unramified pro-2-extension over the cyclotomic Z2-extension of an imaginary quadratic field Peer-reviewed

      Yasushi Mizusawa

      Journal de Theorie des Nombres de Bordeaux22 ( 1 ) 115 - 138   2010

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    • Abelian 2-class field towers over the cyclotomic Z2-extensions of imaginary quadratic fields Peer-reviewed

      Yasushi Mizusawa, Manabu Ozaki

      Mathematische Annalen347 ( 2 ) 437 - 453   2010

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    • Iwasawa type formula for covers of a link in a rational homology sphere Peer-reviewed

      Teruhisa Kadokami, Yasushi Mizusawa

      Journal of Knot Theory and Its Ramifications17 ( 10 ) 1199 - 1221   2008

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    • On unramified pro-p Galois groups over cyclotomic Zp-extensions --- A survey Peer-reviewed

      Yasushi Mizusawa

      RIMS Kokyuroku BessatsuB4   223 - 233   2007

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    • On the Iwasawa invariants of certain non-cyclotomic Z2-extensions Peer-reviewed

      Tsuyoshi Itoh, Shinichi Kiyofuji, Yasushi Mizusawa

      Manuscripta Mathematica118 ( 2 ) 227 - 233   2005

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    • On the maximal unramified pro-2-extension of Z2-extensions of certain real quadratic fields II Peer-reviewed

      Yasushi Mizusawa

      Acta Arithmetica119 ( 1 ) 93 - 107   2005

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    • On the Iwasawa invariants of Z2-extensions of certain real quadratic fields Peer-reviewed

      Yasushi Mizusawa

      Tokyo Journal of Mathematics27 ( 1 ) 255 - 261   2004

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    • On the maximal unramified pro-2-extension of Z2-extensions of certain real quadratic fields Peer-reviewed

      Yasushi Mizusawa

      Journal of Number Theory105 ( 2 ) 203 - 211   2004

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    • On Greenberg's conjecture on a certain real quadratic field Peer-reviewed

      Yasushi Mizusawa

      Proceedings of the Japan Academy, Series A, Mathematical Sciences76 ( 10 ) 163 - 164   2000

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    Professional Memberships

    •  
      THE MATHEMATICAL SOCIETY OF JAPAN

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    Research Projects

    • 擬馴分岐ガロア拡大の岩澤理論と相互法則

      日本学術振興会  基盤研究(C) 

      水澤 靖

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      4 2022 - 3 2025

      Authorship:Principal investigator 

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    • 反復ガロア拡大の岩澤理論

      日本学術振興会  基盤研究(C) 

      水澤 靖

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      4 2017 - 3 2021

      Authorship:Principal investigator  Grant type:Competitive

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    • 数論的トポロジーに基づく岩澤理論の新展開

      日本学術振興会  若手研究(B) 

      水澤 靖

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      4 2014 - 3 2018

      Authorship:Principal investigator  Grant type:Competitive

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    • 代数体の制限分岐ガロア拡大の岩澤理論とその応用

      日本学術振興会  若手研究(B) 

      水澤 靖

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      4 2010 - 3 2013

      Authorship:Principal investigator  Grant type:Competitive

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    • 日韓整数論セミナー2011

      日本学術振興会  二国間交流事業 

      水澤 靖

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      11 2011

      Authorship:Principal investigator  Grant type:Competitive

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    • 代数体の分岐条件付ガロア群の岩澤理論的研究

      日本学術振興会  若手研究(スタートアップ) 

      水澤 靖

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      9 2008 - 3 2009

      Authorship:Principal investigator  Grant type:Competitive

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    • 代数体の類体塔に関する非可換岩澤理論の研究

      日本学術振興会  特別研究員奨励費 

      水澤 靖

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      4 2005 - 3 2007

      Authorship:Principal investigator  Grant type:Competitive

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    • 代数体の類体塔に関する非可換岩澤理論の研究

      日本学術振興会  特別研究員奨励費 

      水澤 靖

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      4 2003 - 3 2005

      Authorship:Principal investigator  Grant type:Competitive

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