Updated on 2021/06/22

写真b

 
NORO Masayuki
 
*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 Field of Study: Mathematics
Graduate School of Science Field of Study: Mathematics
Title*
Professor
Degree
博士(工学) ( 愛媛大学 ) / 理学修士 ( 東京大学 )
Research Theme*
  • 計算代数システムの開発および計算代数アルゴリズムの研究をテーマとしている。代数方程式の求解、多項式イデアルの演算など、コンピュータ上で代数計算を行うためのアルゴリズムおよびソフトウェアとしての実装について主として計算効率の観点から研究を行っている。

  • Campus Career*
    • 4 2014 - Present 
      College of Science   Department of Mathematics   Professor
    • 4 2014 - Present 
      Graduate School of Science   Field of Study: Mathematics   Professor
    • 4 2014 - Present 
      Graduate School of Science   Field of Study: Mathematics   Professor
     

    Research Areas

    • Natural Science / Applied mathematics and statistics

    • Natural Science / Basic mathematics

    Research History

    • 4 2014 - Present 
      RIKKYO UNIVERSITY   Graduate School of Science Field of Study: Mathematics   Professor

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    • 4 2014 - Present 
      RIKKYO UNIVERSITY   Graduate School of Science Field of Study: Mathematics   Professor

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    • 4 2014 - Present 
      RIKKYO UNIVERSITY   College of Science Department of Mathematics   Professor

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    • 9 2000 - 3 2014 
      Kobe University

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    • 4 1990 - 8 2000 
      Fujitsu Laboratories Ltd.

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    • 4 1985 - 3 1990 
      富士通(株)   研究員

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    Education

    • - 3 1985 
      The University of Tokyo   Graduate School, Division of Science

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      Country: Japan

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    • - 3 1985 
      The University of Tokyo   Graduate School, Division of Science

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      Country: Japan

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    • - 3 1983 
      The University of Tokyo   Faculty of Science

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      Country: Japan

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    Papers

    • Modular Algorithms for Computing Minimal Associated Primes and radicals of Polynomial Ideals Peer-reviewed

      Toru Aoyama, Masayuki Noro

      Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation   31 - 38   7 2018

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

      DOI: 10.1145/3208976.3209014

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    • Usage of Modular Techniques for Efficient Computation of Ideal Operations, Mathematics in Computer Science Peer-reviewed

      Masayuki Noro, Kazuhiro Yokoyama

      Mathematics in Computer Science12 ( 1 ) 1 - 32   3 2018

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      Language:English   Publishing type:Research paper (scientific journal)   Publisher:Springer International Publishing  

      DOI: 10.1007/s11786-017-0325-1

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    • System of Partial Differential Equations for the Hypergeometric Function 1F1 of a Matrix Argument on Diagonal Regions Peer-reviewed

      M. Noro

      Proc. ISSAC 2016   2016

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

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    • Schwarz maps for the hypergeometric differential equation Peer-reviewed

      S. Fujimori, M. Noro, K. Saji, T. Sasaki, M. Yoshida

      International J. Math.   2015

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

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    • Verification of Groebner Basis Candidates Peer-reviewed

      M. Noro, K. Yokoyama

      Proc. ICMS 2014   2014

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

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    • Implementation of a primary decomposition package Peer-reviewed

      M. Noro

      Harmony of Groebner Bases and the Modern Industrial Society   2012

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    • Algorithms for computing a primary ideal decomposition without producing intermediate redundant components Peer-reviewed

      T. Kawazoe, M. Noro

      J. Symb. Comp.   2011

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    • Holonomic gradient descent and its application to the Fisher-Bingham integral Peer-reviewed

      H. Nakayama, K. Nishiyaa, M. Noro, K. Ohara, T. Sei, N. Takayama, A. Takemura

      Adv. in Appl. Math.   2011

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    • New Algorithms for Computing Primary Decomposition of Polynomial Ideals Invited Peer-reviewed

      M. Noro

      Proc. ICMS 2010   2010

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

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    • Stratification associated with local b-functions Peer-reviewed

      K. Nishiyama, M. Noro

      J. Symb. Comp.   2010

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    • Modular Algorithms for Computing a Generating Set of the Syzygy Module Peer-reviewed

      M. Noro

      Proc. CASC 2009   2009

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    • Confluence of Swallowtail Singularities of the Hyperbolic Schwarz Map Defined by the Hypergeometric Differential Equation Peer-reviewed

      M. Noro, T. Sasaki, K. Yamada, M. Yoshida

      Experimental Math.   2008

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    • On a conjecture for the dimension of the space of the multiple zeta values Peer-reviewed

      M. Kaneko, M. Noro, K. Tsurumaki

      Software for algebraic geometry   2008

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    • Computation of Discrete Comprehensive Groebner Bases Using Modular Dynamic Evaluation Peer-reviewed

      Y. Kurata, M. Noro

      Proc. ISSAC 2007   2007

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    • An efficient implementation for computing Groebner bases over algebraic number fields Peer-reviewed

      M. Noro

      Proc. ICMS 2006   2006

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    • Automatic weight generator for the Buchberger algorithm Peer-reviewed

      K. Kimura, M. Noro

      Proc. MACIS 2006   2006

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

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    • Modular Dynamic Evaluation Peer-reviewed

      M. Noro

      Proc. ISSAC 2006   2006

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

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    • Dynamic Evaluation の実装について Peer-reviewed

      野呂正行

      数式処理   2005

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

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    • Existence of the exact CNOT on a quantum computer with the exchange interaction Peer-reviewed

      Y. Kawano, K. Kimura, H. Sekigawa, M. Noro, K. Shirayanagi, M. Kitagawa, M. Ozawa

      Quantum Information Processing   2005

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    • Implementation of prime decomposition of polynomial ideals over small finite fields Peer-reviewed

      M. Noro, K. Yokoyama

      Implementation of prime decomposition of polynomial ideals over small finite fields   2004

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    • A Computer Algebra System Risa/Asir Peer-reviewed

      M. Noro

      Algebra, Geometry and Software   2003

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    • An Efficient Modular Algorithm for Computing the Global b-function Peer-reviewed

      M. Noro

      Proc. ICMS 2002   2002

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    • Yet Another Practical Implementation of Polynomial Factorization over Finite Fields Peer-reviewed

      M. Noro, K. Yokoyama

      Proc. ISSAC 2002   2002

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    • The Design and Implementation of OpenXM-RFC 100 and 101 Peer-reviewed

      M. Maekawa, M. Noro, K. Ohara, N. Takayama, Y. Tamura

      Proc. ASCM 2001   2001

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    • OpenXM -- an Open System to Integrate Mathematical Software Peer-reviewed

      M. Maekawa, M. Noro, K. Ohara, Y. Okutani, N. Takayama, Y. Tamura

      Proc. CALCULEMUS 2000   2000

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    • A Modular Method to Compute the Rational Univariate Representation of Zero-Dimensional Ideals Peer-reviewed

      M. Noro, K. Yokoyama

      J. Symb. Comp.   1999

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    • Order Counting of Elliptic Curves Defined over Finite Fields of Characteristic 2 Peer-reviewed

      T. Izu, J. Kogure, M. Noro, K. Yokoyama

      電子情報通信学会 論文誌   1999

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    • Efficient implementation of Schoof's algorithm Peer-reviewed

      T. Izu, J. Kogure, M. Noro, K. Yokoyama

      Proc. ASIACRYPT '98   1998

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    • Factoring Polynomials over Algebraic Extension Fields Peer-reviewed

      M. Noro, K. Yokoyama

      城西情報科学研究   1998

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    • Factoring Polynomials over Algebraic Extension Fields Peer-reviewed

      M. Noro, K. Yokoyama

      城西情報科学研究   1998

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    • Computation of replicable functions on Risa/Asi Peer-reviewed

      M. Noro, J. McKay

      Proc PASCO '97   1997

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    • Quasi-Zalgaller polyhedra belonging to M21 Peer-reviewed

      M. Noro, J. Sekiguchi

      数式処理   1997

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    • Computation of the Splitting fields and the Galois Groups of Polynomials, Algorithms in Algebraic geometry and Applications Peer-reviewed

      H. Anai, M. Noro, K. Yokoyama

      Proc. MEGA '94   1996

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    • Risa/Asir -- A Computer Algebra System Peer-reviewed

      M. Noro, T. Takeshima

      Proc. ISSAC '92   1992

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    • Solution of systems of algebraic equations and linear maps over residue class rings

      K. Yokoyama, M. Noro, T. Takeshima

      J. Symb. Comp.   1991

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    • Computing Primitive Elements of Extension Fields Peer-reviewed

      K. Yokoyama, M. Noro, T. Takeshima

      J. Symb. Comp.   1989

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    • The theory of Radon transformations and 2-micro localization (I) Peer-reviewed

      M. Noro, N. Tose

      J. Fac. Sci, Univ. Tokyo, Sect. IA   1987

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    Books and Other Publications

    • グレブナー基底の計算 基礎篇 計算代数入門

      野呂正行, 横山和弘( Role: Joint author)

      東京大学出版会  2003 

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      Language:Japanese Book type:Scholarly book

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    • Risa/Asir ドリル

      高山信毅, 野呂正行( Role: Joint author)

      神戸大学理学部  2002 

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      Language:Japanese Book type:Textbook, survey, introduction

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    • 計算機代数

      野呂正行( Role: Sole author)

      神戸大学理学部  2002 

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      Language:Japanese Book type:Scholarly book

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    Professional Memberships

    Works

    • Risa/Asir Software

      1 1994
      -
      Present

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      Work type:Software  

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    Research Projects

    • グレブナー基底の高速計算法、検証法とその応用

      日本学術振興会  科学研究費助成事業 

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      4 2015 - Present

      Grant type:Competitive

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    • 高い確率でグレブナー基底を高速に計算するアルゴリズムの開発

      日本学術振興会  科学研究費助成事業 

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      4 2011 - 3 2014

      Grant type:Competitive

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    • パラメタを含む系の数式処理の実用化

      日本学術振興会  科学研究費助成事業 

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      4 2005 - 3 2008

      Grant type:Competitive

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    • 高性能計算代数ソフトウェアの開発

      日本学術振興会  科学研究費助成事業 

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      4 2002 - 3 2005

      Grant type:Competitive

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