Updated on 2024/02/15

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 Doctoral Program in Mathematics
Graduate School of Science Master's Program in 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   Master's Program in Mathematics   Professor
    • 4 2014 - Present 
      Graduate School of Science   Doctoral Program in 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

      More details

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

      More details

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

      More details

    • 9 2000 - 3 2014 
      Kobe University

      More details

    • 4 1990 - 8 2000 
      Fujitsu Laboratories Ltd.

      More details

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

      More details

    ▼display all

    Education

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

      More details

      Country: Japan

      researchmap

    • - 3 1983 
      The University of Tokyo   Faculty of Science

      More details

      Country: Japan

      researchmap

    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

      More details

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

      DOI: 10.1145/3208976.3209014

      researchmap

    • 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

      More details

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

      DOI: 10.1007/s11786-017-0325-1

      researchmap

    • 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

      More details

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

      researchmap

    • Schwarz maps for the hypergeometric differential equation Peer-reviewed

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

      International J. Math.   2015

      More details

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

      researchmap

    • Verification of Groebner Basis Candidates Peer-reviewed

      M. Noro, K. Yokoyama

      Proc. ICMS 2014   2014

      More details

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

      researchmap

    • Implementation of a primary decomposition package Peer-reviewed

      M. Noro

      Harmony of Groebner Bases and the Modern Industrial Society   2012

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

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

      T. Kawazoe, M. Noro

      J. Symb. Comp.   2011

      More details

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

      researchmap

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

      M. Noro

      Proc. ICMS 2010   2010

      More details

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

      researchmap

    • Stratification associated with local b-functions Peer-reviewed

      K. Nishiyama, M. Noro

      J. Symb. Comp.   2010

      More details

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

      researchmap

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

      M. Noro

      Proc. CASC 2009   2009

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

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

      Y. Kurata, M. Noro

      Proc. ISSAC 2007   2007

      More details

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

      researchmap

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

      M. Noro

      Proc. ICMS 2006   2006

      More details

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

      researchmap

    • Modular Dynamic Evaluation Peer-reviewed

      M. Noro

      Proc. ISSAC 2006   2006

      More details

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

      researchmap

    • Automatic weight generator for the Buchberger algorithm Peer-reviewed

      K. Kimura, M. Noro

      Proc. MACIS 2006   2006

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

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

      野呂正行

      数式処理   2005

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • A Computer Algebra System Risa/Asir Peer-reviewed

      M. Noro

      Algebra, Geometry and Software   2003

      More details

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

      researchmap

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

      M. Noro

      Proc. ICMS 2002   2002

      More details

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

      researchmap

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

      M. Noro, K. Yokoyama

      Proc. ISSAC 2002   2002

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

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

      M. Noro, K. Yokoyama

      J. Symb. Comp.   1999

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • Factoring Polynomials over Algebraic Extension Fields Peer-reviewed

      M. Noro, K. Yokoyama

      城西情報科学研究9 ( 1 ) 11 - 33   1998

      More details

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

      CiNii Article

      researchmap

    • Efficient implementation of Schoof's algorithm Peer-reviewed

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

      Proc. ASIACRYPT '98   1998

      More details

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

      researchmap

    • Factoring Polynomials over Algebraic Extension Fields Peer-reviewed

      M. Noro, K. Yokoyama

      城西情報科学研究   1998

      More details

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

      researchmap

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

      M. Noro, J. McKay

      Proc PASCO '97   1997

      More details

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

      researchmap

    • Quasi-Zalgaller polyhedra belonging to M21 Peer-reviewed

      M. Noro, J. Sekiguchi

      数式処理   1997

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

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

      M. Noro, T. Takeshima

      Proc. ISSAC '92   1992

      More details

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

      researchmap

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

      K. Yokoyama, M. Noro, T. Takeshima

      J. Symb. Comp.   1991

      More details

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

      researchmap

    • Computing Primitive Elements of Extension Fields Peer-reviewed

      K. Yokoyama, M. Noro, T. Takeshima

      J. Symb. Comp.   1989

      More details

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

      researchmap

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

      M. Noro, N. Tose

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

      More details

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

      researchmap

    ▼display all

    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 

      More details

      Language:Japanese Book type:Scholarly book

      researchmap

    • Risa/Asir ドリル

      高山信毅, 野呂正行( Role: Joint author)

      神戸大学理学部  2002 

      More details

      Language:Japanese Book type:Textbook, survey, introduction

      researchmap

    • 計算機代数

      野呂正行( Role: Sole author)

      神戸大学理学部  2002 

      More details

      Language:Japanese Book type:Scholarly book

      researchmap

    Professional Memberships

    Works

    • Risa/Asir Software

      1 1994
      -
      Present

      More details

      Work type:Software  

      researchmap

    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 

      More details

      4 2015 - Present

      Grant type:Competitive

      researchmap

    • 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 

      More details

      4 2011 - 3 2014

      Grant type:Competitive

      researchmap

    • 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 

      More details

      4 2005 - 3 2008

      Grant type:Competitive

      researchmap

    • 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 

      More details

      4 2002 - 3 2005

      Grant type:Competitive

      researchmap