HIRATA-Kohno Noriko

Profile Information

Affiliation: Professor, College of Science and Technology Department of Mathematics, Nihon University

Other name(s) (e.g. nickname): Noriko HIRATA-Kohno
Researcher number: 90215195
ORCID ID: https://orcid.org/0000-0002-7749-151X
J-GLOBAL ID: 200901018317564346
researchmap Member ID: 1000168984

External link: http://trout.math.cst.nihon-u.ac.jp/~hirata/

Research Interests

Research Areas

Research History

Apr, 2022 - Present

Nihon University, Professor
Apr, 2002 - Mar, 2022

Nihon University, Professor
Jun, 2018 - Sep, 2018

Scientific committee member, CIRM, France, CIRM Scientific Committee
Jul, 2016 - Jul, 2016

Lecturer of one course, Graduate School of Math., Kyoto University
Feb, 2013 - Mar, 2013

Invited Professor, University of Caen
Oct, 2012 - Oct, 2012

Lecturer of one course, Graduate School of Math., Tohoku University
May, 2012 - May, 2012

Lecturer of one course, Graduate School of Math., Osaka University
Oct, 2008 - Oct, 2008

Fields Institute, Invited reseacher
Mar, 2006 - Mar, 2006

ESI, Wien, invited researcher
Dec, 2005 - Dec, 2005

Tata Institute of Fundamental Research, Invited researcher
Jan, 2005 - Jan, 2005

University of Lille 1, Invited professor
May, 2003 - May, 2003

University of Paris 6, Invited Professor
Nov, 2002 - Nov, 2002

Lecturer of one course, Graduate School of Math., Nagoya University
Apr, 1998 - Mar, 2002

Nihon University, Associate Professor
Sep, 2001 - Sep, 2001

Lecturer of one course, Graduate School of Math., Kyushu University
May, 2001 - May, 2001

University of Colorado, Invited professor
May, 1999 - Mar, 2000

Institut des Hautes Etudes Scientifiques, Researcher
Feb, 1999 - Feb, 1999

CEB, Paris, Invited researcher
Nov, 1998 - Nov, 1998

Lecturer of one course, Graduate School of Math., Chuo University
Oct, 1998 - Oct, 1998

Lecturer of one course, Graduate School of Math., Chiba University

Professional Memberships

May, 2014 - Present

The Japan Society for Industrial and Applied Mathematics
Apr, 1986 - Present

The Mathematical Society of Japan
Oct, 1986 - Sep, 2020

Societe Mathematique de France

Awards

Mar, 2014

NEXT Green Innovation Poster Silver

Noriko Hirata-Kohno
Dec, 2008

NISTEP selected researcher 2008, MEXT, Government of Japan, National Institute of Science and Technology Policy in Ministry of Education, Culture, Sports, Science and Technology, Government of Japan

Noriko Hirata-Kohno
Nov, 1995

Research Award, College of Science, Nihon University, College of Science, Nihon University

Noriko Hirata-Kohno

Major Papers

103

Recent Developments on Polylogarithms and Period Conjecture

S. David, N. Hirata-Kohno, M. Kawashima

RIMS Kokyuroku Bessatsu, accepted for publication, 2024 Peer-reviewedLead author
S-unit equation in two variables and Pade approximations

N. Hirata-Kohno, M. Kawashima, A. Poels, Y. Washio

International Journal of Number Theory, ISSN (print)1793-0421(ISSN (online) 1793-7310) 1-16, Jul, 2023 Peer-reviewedCorresponding author
Linear independence criteria for generalized polylogarithms with distinct shifts

Sinnou David, Noriko Hirata-Kohno and Makoto Kawashima

Acta Arithmetica, 206(2) 127-169, Dec, 2022 Peer-reviewedLead author
Linear forms in Polylogarithms

Sinnou David, Noriko Hirata-Kohno, Makoto Kawashima

Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), 23(3) 1447-1490, Sep, 2022 Peer-reviewedLead author
Diophantine Approximation

Noriko Hirata-Kohno

Exposition, American Mathematical Society, 34 205-229, Oct, 2021 Peer-reviewedInvitedLead author
Can polylogarithms at algebraic points be linearly independent?

Sinnou David, Noriko Hirata-Kohno and Makoto Kawashima

Moscow Journal of Combinatorics and Number Theory, 9(4) 389-406, Nov 6, 2020 Peer-reviewedInvitedLead author
A key exchange protocol relying on polynomial maps

K. Akiyama, S. Nakamura, M. Ito and Noriko Hirata-Kohno

International Journal of Mathematics for Industry, 11(1) 1950003-1-1950003-11, Jun 7, 2019 Peer-reviewedLead author
A criterion for the linear independence of polylogarithms over a number field

Noriko Hirata-Kohno, Masaru Ito and Yusuke Washio

RIMS, Bessatsu, Kyoto University, B64 3-18, May, 2017 Peer-reviewedInvitedLead author
On the Diophantine equation F-n(x) + F-n+1(x) = F-m(y)

Noriko Hirata-Kohno, Florian Luca

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 45(2) 509-538, 2015 Peer-reviewed
A key exchange protocol based on Diophantine equations and S-integers

Attila Berczes, Lajos Hajdu, Noriko Hirata-Kohno, Tunde Kovacs and Attila Petho

JSIAM Letters, 6 85-88, Dec 17, 2014 Peer-reviewedLead author
Diophantine approximation related to polylogarithms

Noriko Hirata-Kohno

RIMS Kokyuroku, 1898 194-206, May, 2014 InvitedLead author
On a key exchange protocol based on Diophantine equations

Noriko Hirata-Kohno and A. Petho

Infocommunications Journal, 5(3) 17-21, Sep 30, 2013 Peer-reviewedInvitedLead author
Linear forms in elliptic logarithms

Sinnou David, Noriko Hirata-Kohno

Crelle (Journal für die reine und angewandte Mathematik), 628 37-89, Mar, 2009 Peer-reviewed
On the Equation(X^m-1)/(x-1)=Y^q with x Power

Noriko Hirata-Kohno and T. N. Shorey

Analytic Number Theory, London Mathematical Society Lecture Note Series, Cambridge UP, 247 119-125, Sep, 1997 Peer-reviewedInvitedLead author
Approximations simultanees sur les groupes algebriques commutatigs

Noriko Hirata-Kohno

Compositio Mathematica, 86 69-96-96, Jun, 1993 Peer-reviewedLead author
Nouvelles mesures de transcendance liees aux groupes algebriques commutatifs

Noriko Hirata-Kohno

Approximations Diophantienne et Nombres Transcendants (ed. P. Philippon), de Gruyter, 165-172, Dec, 1992 Peer-reviewedInvitedLead author
Formes lineaires de points algebriques sur les groupes algebriques

Noriko Hirata-Kohno

Inventiones Mathematicae, 104 401-433-433, Apr, 1991 Peer-reviewedLead author

Books and Other Publications

朝倉数学辞典

(Role: Joint author, ディオファントス方程式)

朝倉書店, Jun 15, 2016 (ISBN: 9784254111255)
プリンストン数学大全

共同監訳者, 砂田利一, 石井仁司, 二木昭人, 森真, 共訳者, 伊藤隆一, 岡田聡一, 金川秀也, 久我健一, 小林正典, 志賀弘典, 志村立矢, 高松敦子, 田中一之, 徳重典英, 長谷川浩司, 細矢治夫, 松本健吾, 松本敏子, 水谷正大, 三宅克哉, 宮本雅彦, 山田道夫, 山内藤子, 吉荒聡, 吉原健一, 渡辺治, 渡辺敬一 (Role: Joint editor, 監訳編集委員・分担翻訳) (Original Author(s): 共同監訳者:砂田利一・石井仁司・二木昭人・森真, 共訳者:伊藤隆一,岡田聡一,金川秀也,久我健一,小林正典,志賀弘典,志村立矢,高松敦子,田中一之,徳重典英,長谷川浩司,細矢治夫,松本健吾,松本敏子,水谷正大,三宅克哉,宮本雅彦,山田道夫,山内藤子,吉荒聡,吉原健一,渡辺治,渡辺敬一)

朝倉書店, Dec, 2015 (ISBN: 9784254111439)
数学の道しるべ「研究者の道とは何か」

数理科学編集部編 (Role: Contributor, 12章) (Original Author(s): 数理科学編集部編)

サイエンス社, Apr 25, 2011
岩波数学辞典

日本数学会編 (Role: Joint author, 第４版超越数・ディオファントス近似) (Original Author(s): 日本数学会編)

岩波書店, Mar 15, 2007

Major Presentations

152

The number of the solutions to unit equations by Padé approximation

Noriko Hirata-Kohno (Joint work with M. Kawashima, A. Poels and Yukiko Washio)

Leuca 2022, Italy, May 17, 2022, Leuca 2022 organizing committee Invited
Pade approximation for hypergeometric functions and S-unit equations

Noriko Hirata-Kohno (Joint work with Sinnou David and Makoto Kawashima)

Oberwolfach Workshop Diophantische Approximationen, Apr 19, 2022, Mathematisches Forschungsinstitut Oberwolfach Invited
Linear independence criterion for values of hypergeometric functions

Noriko Hirata-Kohno (Joint work with Sinnou David and Makoto Kawashima)

Moscow, Days of Transcendence, Feb 1, 2022, Moscow State University Invited
On linear independence of special values of polylogarithms

S. David, M. Kawashima and N. Hirata-Kohno

2020-2021 Fields Number Theory Seminar, Sep 16, 2020, Fields Institutes Invited
Linear forms in logarithms: contribution by Fel’dman and the linear independence of polylogarithms

N. Hirata-Kohno, Sinnou David and Makoto Kawashima

Transcendence and Diophantine Problems (Moscow, MIPT), Jun 13, 2019, Moscow MIPT and University of Moscow Invited
Linear forms in logarithms via Pad e approximations and their applications

Noriko Hirata-Kohno and Makoto Kawashima

Diophantine Approximation and Transcendence (CIRM, Luminy, France), Sep 12, 2018, CIRM (Centre International de Recherches Mathematiques), Luminy Invited
A lower bound of the linear forms in logarithms of algebraic numbers via Pade approximation

M. Kawashima and N. Hirata

Effective Methods for Diophantine Problems, Jun 19, 2018, Lorentz Center, Leiden University, The Netherlands Invited
New Pade approximation related to a series with periodic coefficients

Noriko Hirata-Kohno

Diophantine Approximation and Algebraic Curves (BIRS, Banff, Canada), Jul 6, 2017, BIRS, Banff International Research Station 17w5045, Canada Invited
Diophantine approximation

N. Hirata-Kohno

Diophantine approximation, MFO workshop, Germany, Sep, 2016, MFO Invited
Pade approximation and the irrationality of polylogarithms

N. Hirata-Kohno

Leuca 2016 conference (celebrating Michel Waldschmidt's 70th birthday, Leuca, Italy), Jun 14, 2016, Leuca 2016 Scientific Committee Invited

Misc.

平面図形における最短経路とGeoGebraの活用事例

杉本和希, 大村侑義, 川口桃花, 室井龍二, 鷲尾勇介, 鷲尾夕紀子, 谷部貴一, 利根川聡, 古津博俊, 平田典子

城西大学数学科数学教育紀要, 4 9-15, Feb, 2023 Peer-reviewedInvitedCorresponding author
等脚台形の最短経路をiPadで示す動的教材の提案－GeoGebra動的教材による幾何学教育実践

大村侑義, 鷲尾勇介, 鷲尾夕紀子, 古津博俊, 平田典子

70h JSEEja, 2022, 70 386-387, Sep 9, 2022 Peer-reviewedCorresponding author
数学科教育法におけるICTを活用した整数論の動画教材および教育効果の創出

M.Aoyagi,Y.Ishii,N.Ohkubo,K.Kurishima,Y.Kurimoto,K.Suzuki,Noriko Hirata-Kohno,K.Fujita,H.Furutsu,Y.Washio

日本大学理工学部一般教育彙報, 107 21-29, Nov 1, 2019 Peer-reviewedLead author
Overcoming Unconscious Bias in STEM

Megumi Sato, Noriko Hirata-Kohno, Yukiko Ishii, Kiyomitsu Suzuki, Hidetsugu Sakai, Hisako Ohtsubo

Transaction of Nihon University School of Dentistry, 46 33-44, 2018 Peer-reviewed
$p$-adic logarithmic functions and applications (Analytic number theory and related topics)

Hirata-Kohno Noriko

RIMS Kokyuroku, 1710 180-191, Aug, 2010
整数論サマースクール報告集 Diophantine Equations

Noriko Hirata-Kohno

https://www.ma.noda.tus.ac.jp/u/ha/SS2006/, 2006(1) 1-40, Dec, 2006 InvitedLead author
Finiteness and Infiniteness of the Solutions to a System of Diophantine Inequalitites : A survey of a joint work with J.-H. Evertse (Algebraic number theory and related topics)

Hirata-Kohno Noriko

RIMS Kokyuroku, 1200 210-219, Apr, 2001
On Wirsing's Approximation (Number Theory and its Applications)

Hirata-Kohno Noriko

RIMS Kokyuroku, 1060 210-219, Aug, 1998

Committee Memberships

Sep, 2023 - Present

RIMS, KyotoUniversity, RIMS, KyotoUniversity
Oct, 2021 - Present

Advisor of JSPS for DEI Development, JSPS
Mar, 2001 - Present

代数学分科会運営委員, 日本数学会
Oct, 2012 - Sep, 2023

数理科学委員（連携会員）, 日本学術会議
Oct, 2017 - Mar, 2019

運営委員会専門委員, 京都大学数理解析研究所
Oct, 2016 - Sep, 2018

研究集会組織委員 https://conferences.cirm-math.fr/1841.html, CIRM 数学研究所
Nov, 2013 - Oct, 2014

１２期委員長, 男女共同参画学協会連絡会
Jun, 2012 - May, 2014

Trustee, The Mathematical Society of Japan
Jun, 2012 - May, 2014

理事, 日本数学会
May, 2012 - May, 2014

Editor in Chief, Sugaku Tushin, The Mathematical Society of Japan
May, 2012 - May, 2014

日本数学会刊行物「数学通信」編集委員長, 日本数学会
Mar, 2011 - Feb, 2013

評議員, 日本数学会
Mar, 2011 - Feb, 2013

councilor of Algebra session, The Mathematical Society of Japan
Jun, 2010 - May, 2012

理事, 日本数学会
May, 2010 - May, 2012

Editor in Chief, Sugaku Tushin, The Mathematical Society of Japan
May, 2010 - May, 2012

日本数学会刊行物「数学通信」編集委員長, 日本数学会
Apr, 2010 - Apr, 2012

Trustee, The Mathematical Society of Japan
Mar, 2010 - Feb, 2011

評議員, 日本数学会
Mar, 2010 - Feb, 2011

councilor, The Mathematical Society of Japan
Mar, 2008 - Feb, 2009

評議員, 日本数学会

Major Research Projects

Formal Pade Approximation toward Period Conjecture observing Period Integral via Differential Algebra

Kakenhi Grant, Grant-in-Aid for Scientific Research (C), JSPS, Apr, 2021 - Mar, 2026

Noriko HIRATA-Kohno

Education

Oct, 1986 - Feb, 1989

Mathematics Major, Graduate School of Science, Universite de Paris VI

Social Activities

JST CREST 研究領域アドバイザー「数理科学と情報科学の連携・融合による情報活用基盤の創出と社会への展開」

Logistic support

JST, Crest, 2019 - Present
JST さきがけ研究領域アドバイザー「数学と情報科学で解き明かす多様な対象の数理構造と活用」

Logistic support

JST, さきがけ, 2019 - Present
数学オリンピック財団理事

Logistic support

Jun 1, 2012 - Present
Science Council of Japan

Logistic support

Oct 3, 2011 - Sep 30, 2023
数学・数理科学教育分科会委員（学術会議）

Logistic support

学術会議, 日本の数学教育に関わる提言活動など, Oct 3, 2011 - 2023
JST CREST 研究領域アドバイザー「現代の数理科学と連携するモデリング手法の構築」

Consultant

JST, CREST, 2014 - 2022
数理科学委員会国際数学者連盟 IMU分科会委員（学術会議）

Logistic support

国際数学者連盟/学術会議, Oct, 2012 - Sep, 2020
京都大学数理解析研究所運営委員会専門委員

Logistic support

京都大学数理解析研究所, Sep, 2016 - Mar, 2020
文部科学省大学設置・学校法人審議会大学設置分科会理学専門委員会

Logistic support

文部科学省, Oct, 2016 - Sep, 2019
JST

Logistic support

Dec 13, 2012 - Mar 31, 2013

Teaching Experience

Other

Ramanujan's approximations for pi

Jul, 2020 - Present

ISSN 0386-2240
尽きぬ夢

Apr, 2019 - Present

日本大学理工学部広報誌理工サーキュラー私の研究歴, 2019, 180号 https://www.cst.nihon-u.ac.jp/about/public_relations/pdf/cir_180.pdf
数学セミナー論説記事

Sep, 2017 - Present

「数論と解析学」〜不定方程式と解析学，数学セミナー論説記事，2017
方眼紙で考える分数のはなし

Aug, 2014 - Present

「方眼紙で考える分数のはなし」日本数学会「数学通信」，2014年8月号
数学セミナー論説記事

Jul, 2013 - Present

「素朴で奥深い整数の世界」〜ディオファントス近似，数学セミナー論説記事，2013
数学セミナー論説記事

Jan, 2008 - Present

「有理数からディオファントス幾何へ」〜無理数を有理数で近似する，数学セミナー論説記事，2008
数学セミナー論説記事

Jun, 1994 - Present

整数論／ディオファントス問題, 数学セミナー論説記事, 1994
おしゃべりしながら

Nov, 2022 - Nov, 2022

数学セミナー12月号巻頭言（日本評論社）
おしゃべりしながら

Jun, 2022 - Jun, 2022

数学セミナー6月号巻頭言（日本評論社）

Profile Information

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Research Areas

Research History

Professional Memberships

Awards

Major Papers

Books and Other Publications

Major Presentations

Misc.

Committee Memberships

Major Research Projects

Education

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Teaching Experience

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