Updated on 2026/03/10

写真a

 
TAGUCHI YUICHIRO
 
Organization
School of Science Professor
Title
Professor
External link

Degree

  • (BLANK)

Research Interests

  • 整数論

  • Number Theory

Research Areas

  • Natural Science / Algebra

Research History

  • Kyushu University Faculty of Mathematics, Department of Mathematics   Associate Professor

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Professional Memberships

Papers

  • Mordell–Weil groups over large algebraic extensions of fields of characteristic zero

    Takuya Asayama, Yuichiro Taguchi

    Research in Number Theory   11 ( 4 )   2025.9

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    Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    Abstract

    We study the structure of the Mordell–Weil groups of semiabelian varieties over large algebraic extensions of a finitely generated field of characteristic zero. We consider two types of algebraic extensions in this paper; one is of extensions obtained by adjoining the coordinates of certain points of various semiabelian varieties; the other is of extensions obtained as the fixed subfield in an algebraically closed field by a finite number of automorphisms. Some of such fields turn out to be new examples of Kummer-faithful fields which are not sub-p-adic. Among them, we find both examples of Kummer-faithful fields over which the Mordell–Weil group modulo torsion can be free of infinite rank and not free.

    DOI: 10.1007/s40993-025-00658-2

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    Other Link: https://link.springer.com/article/10.1007/s40993-025-00658-2/fulltext.html

  • On the Hecke fields of Galois representations Reviewed

    Dohoon Choi, Yuichiro Taguchi

    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY   48   813 - 821   2016.10

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

    DOI: 10.1112/blms/bdw042

    Web of Science

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  • On Congruences of Galois Representations of Number Fields Reviewed

    Yoshiyasu Ozeki, Yuichiro Taguchi

    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES   50 ( 2 )   287 - 306   2014.6

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

    DOI: 10.4171/PRIMS/134

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  • A generalization of a theorem of Imai and its applications to Iwasawa theory Reviewed

    Yusuke Kubo, Yuichiro Taguchi

    MATHEMATISCHE ZEITSCHRIFT   275 ( 3-4 )   1181 - 1195   2013.12

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

    DOI: 10.1007/s00209-013-1176-3

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  • Flat modules and grobner bases over truncated discrete valuation rings (Japan-Korea joint seminar on number theory and related topics 2008)

    Hiranouchi Toshiro, Taguchi Yuichiro

    Interdisciplinary information sciences   16 ( 1 )   33 - 37   2010.3

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    Language:English   Publisher:Tohoku University  

    We present basic properties of Gröbner bases of submodules of a free module of finite rank over a polynomial ring R with coefficients in a graded truncated discrete valuations ring A. As an application, we give a criterion for a finitely generated R-module to be flat over A. Its non-graded version is also given.

    DOI: 10.4036/iis.2010.33

    CiNii Books

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    Other Link: https://jlc.jst.go.jp/DN/JALC/00348817155?from=CiNii

  • On the finiteness and non-existence of certain mod 2 Galois representations of quadratic fields Reviewed

    Hyunsuk Moon, Yuichiro Taguchi

    DIOPHANTINE ANALYSIS AND RELATED FIELDS - DARF 2007/2008   976   169 - +   2008

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

    Web of Science

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  • l-adic properties of certain modular forms Reviewed

    Hyunsuk Moon, Yuichiro Taguchi

    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES   82 ( 7 )   83 - 86   2006.9

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

    Web of Science

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  • On the finiteness of various Galois representations Reviewed

    Yuichiro Taguchi

    PRIMES AND KNOTS   416   249 - 261   2006

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

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Books

  • Semisimplicity of the Galois representations attached to Drindeld modules over fields of "infinite characteristics"

    J. Number Theory  1993 

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  • Ramifications arising from Drinfeld modules, in : The Arithmetic of Function Fields, (D. Goss, D. Hayes, and M. Rosen, eds.), Proceedings of aworkshop at Ohio State University, June 17-26, 1991, de Gruyter, Berlin-NewYork

    1992 

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  • A generalization of the Chowla-Selberg formula (共著)

    J. reine angew. Math.  1991 

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  • Semisimplicity of the Galois representations attached to Drindeld modules over fields of "finite characteristics"

    Duke Math. J.  1991 

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MISC

  • Extensions of truncated discrete valuation rings (vol 4, pg 1205, 2008)

    Toshiro Hiranouchi, Yuichiro Taguchi

    PURE AND APPLIED MATHEMATICS QUARTERLY   11 ( 1 )   171 - 174   2015.1

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    Language:English  

    Web of Science

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  • Extensions of truncated discrete valuation rings

    Toshiro Hiranouchi, Yuichiro Taguchi

    PURE AND APPLIED MATHEMATICS QUARTERLY   4 ( 4 )   1205 - 1214   2008.10

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    Language:English  

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  • The non-existence of certain mod 2 Galois representations of some small quadratic fields

    Hyunsuk Moon, Yuichiro Taguchi

    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES   84 ( 5 )   63 - 67   2008.5

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  • 2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS

    Ken Ono, Yuichiro Taguchi

    INTERNATIONAL JOURNAL OF NUMBER THEORY   1 ( 1 )   75 - 101   2005.3

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  • Mod p galois representations of solvable image

    H Moon, Y Taguchi

    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY   129 ( 9 )   2529 - 2534   2001

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    Language:English  

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  • Finiteness of an isogeny class of Drinfeld modules - Correction to a previous paper

    Y Taguchi

    JOURNAL OF NUMBER THEORY   74 ( 2 )   337 - 348   1999.2

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    Language:English  

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  • Discriminants and finiteness theorems in number theory

    Proceedings of the first joint symposium between Hokkaido University and Yeungnam University   1999

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  • Entireness of L-functions of phi-sheaves on affine complete intersections

    Y Taguchi, DQ Wan

    JOURNAL OF NUMBER THEORY   63 ( 1 )   170 - 179   1997.3

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  • L-functions of phi-sheaves and Drinfeld modules

    Y Taguchi, D Wan

    JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY   9 ( 3 )   755 - 781   1996.7

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    Language:English  

    Web of Science

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  • On φ-modules

    Yuichiro Taguchi

    Journal of Number Theory   60 ( 1 )   124 - 141   1996

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    Language:English   Publisher:Academic Press Inc.  

    DOI: 10.1006/jnth.1996.0117

    Scopus

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  • THE TATE-CONJECTURE FOR T-MOTIVES

    Y TAGUCHI

    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY   123 ( 11 )   3285 - 3287   1995.11

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    Language:English  

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  • The tate conjecture for i-motives

    Yuichiro Taguchi

    Proceedings of the American Mathematical Society   123 ( 11 )   3285 - 3287   1995

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  • A duality for finite t-modules

    Taguchi Yuichiro

    Journal of Mathematical Sciences of the University of Tokyo   2 ( 3 )   563 - 588   1995

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    Language:English   Publisher:The University of Tokyo  

    CiNii Books

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  • A duality for finite t-modules

    J. Math. Sci. Univ. Tokyo   2   563 - 588   1995

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  • Regular singularity of Drinfeld modules

    Intl. J. Math.   5   595 - 608   1994

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  • ON THE PI-ADIC THEORY GALOIS COHOMOLOGY

    Y TAGUCHI

    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES   68 ( 7 )   214 - 218   1992.9

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    Language:English  

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Research Projects

  • 変形理論、非可換化の融合による岩澤理論の新展開

    Grant number:23K25763  2023.4 - 2028.3

    日本学術振興会  科学研究費助成事業  基盤研究(B)

    落合 理, 原 隆, 下元 数馬, 田口 雄一郎

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    Grant amount:\17940000 ( Direct Cost: \13800000 、 Indirect Cost:\4140000 )

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  • Arithmetic of Kummer-faithful fields

    Grant number:23K03068  2023.4 - 2026.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

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    Grant amount:\4680000 ( Direct Cost: \3600000 、 Indirect Cost:\1080000 )

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  • Determination of algebraic number fields with minimum discriminants

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    Grant type:Competitive

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  • Galois 表現

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    Grant type:Competitive

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  • 分岐理論

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    Grant type:Competitive

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  • L-functions of φ-sheaves

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    Grant type:Competitive

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  • Finiteness Problem of Galris representations

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    Grant type:Competitive

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