Updated on 2024/04/04

写真a

 
Yuuki Irie
 
Organization
Graduate Faculty of Interdisciplinary Research Faculty of Engineering Basic Sciences ( Basic Education Center) Assistant Professor
Title
Assistant Professor
Homepage
https://yirie.info
External link

Research History

  • University of Yamanashi   Assistant Professor

    2023.4

  • Tohoku University   Research Alliance Center for Mathematical Sciences   Senior Assistant Professor

    2021.10 - 2023.3

  • Tohoku University   Research Alliance Center for Mathematical Sciences   Assistant Professor

    2018.8 - 2021.9

Research Areas

  • Natural Science / Algebra

Research Interests

  • Combinatorial representation theory

  • Combinatorial game theory

  • Algebraic combinatorics

Research Projects

  • Representations and combinatorial games related to d-complete posets

    Grant number：20K14277  2020.4 - 2024.3

    Japan Society for the Promotion of Science  Tohoku University  Grants-in-Aid for Scientific Research  Grant-in-Aid for Early-Career Scientists

    Yuki Irie

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    Authorship：Principal investigator  Grant type：Competitive  Type of fund：：Science research expense

Papers

  • On the stable Harbourne conjecture for ideals defining space monomial curves Reviewed

    Kosuke Fukumuro, Yuki Irie

    Proceedings of the American Mathematical Society   151 ( 4 )   1445 - 1458   2023.4( ISSN：0002-9939  eISSN：1088-6826 )

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    Authorship：Corresponding author   Language：English   Publishing type：Research paper (scientific journal)   Publisher：American Mathematical Society (AMS)  

    DOI： 10.1090/proc/16258

    DOI： 10.48550/arXiv.2203.15493

    Other Link： https://arxiv.org/pdf/2203.15493.pdf

  • A base-p Sprague-Grundy type theorem for p-calm subtraction games: Welter's game and representations of generalized symmetric groups Reviewed

    Yuki Irie

    Integers   21B (The John Conway, Richard Guy, and Elwyn Berlekamp Memorial Volume)   #A15   2021.12

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

    Other Link： http://math.colgate.edu/~integers/vb15/vb15.pdf

  • Combinatorial game distributions of Steiner systems Reviewed

    Yuki Irie

    The Electronic Journal of Combinatorics   28 ( 4 )   #P4.54   2021.12( ISSN：1077-8926  eISSN：1077-8926 )

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：The Electronic Journal of Combinatorics  

    The $P$-position sets of some combinatorial games have special combinatorial structures. For example, the $P$-position set of the hexad game, first investigated by Conway and Ryba, is the block set of the Steiner system $S(5, 6, 12)$ in the shuffle numbering, denoted by $D_{\text{sh } }$. However, few games were known to be related to Steiner systems in this way. For a given Steiner system, we construct a game whose $P$-position set is its block set. By using constructed games, we obtain the following two results. First, we characterize $D_{\text{sh } }$ among the 5040 isomorphic $S(5, 6, 12)$ with point set $\{0, 1, ..., 11\}$. For each $S(5, 6, 12)$, our construction produces a game whose $P$-position set is its block set. From $D_{\text{sh } }$, we obtain the hexad game, and this game is characterized as the unique game with the minimum number of positions among the obtained 5040 games. Second, we characterize projective Steiner triple systems by using game distributions. Here, the game distribution of a Steiner system $D$ is the frequency distribution of the numbers of positions in games obtained from Steiner systems isomorphic to $D$. We find that the game distribution of an $S(t, t + 1, v)$ can be decomposed into symmetric components and that a Steiner triple system is projective if and only if its game distribution has a unique symmetric component.

    DOI： 10.37236/9252

  • The Sprague-Grundy functions of saturations of misère Nim Reviewed

    Yuki Irie

    The Electronic Journal of Combinatorics   28 ( 1 )   #P1.58   2021.3(  eISSN：1077-8926 )

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：The Electronic Journal of Combinatorics  

    
    
    
    We consider misère Nim as a normal-play game obtained from Nim by removing the terminal position. While explicit formulas are known for the Sprague-Grundy functions of Nim and Welter's game, no explicit formula is known for that of misère Nim. All three of these games can be considered as position restrictions of Nim. What are the differences between them? We point out that Nim and Welter's game are saturated, but misère Nim is not. Moreover, we present explicit formulas for the Sprague-Grundy functions of saturations of misère Nim, which are obtained from misère Nim by adjoining some moves.
     
    
    

    DOI： 10.37236/8916

  • Walks: A Beginner's Guide to Graphs and Matrices Reviewed

    Yuki Irie

    Interdisciplinary Information Sciences   2020.8( ISSN：1340-9050  eISSN：1347-6157 )

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    Language：English   Publishing type：(MISC) Introduction and explanation (bulletin of university, research institution)   Publisher：Graduate School of Information Sciences, Tohoku University  

    DOI： 10.4036/iis.2020.a.01

  • Take-away games with the same Sprague-Grundy function as Nim

    Yuki Irie

    Kokyuroku   2148   152 - 165   2020.1( ISSN：1880-2818 )

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    Language：Japanese   Publishing type：(MISC) Introduction and explanation (bulletin of university, research institution)  

  • 対称群の分岐則とp-core towers (表現論と組合せ論)

    入江 佑樹

    数理解析研究所講究録   2075   1 - 16   2018.7( ISSN：1880-2818 )

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    Language：Japanese   Publishing type：(MISC) Introduction and explanation (bulletin of university, research institution)   Publisher：京都大学数理解析研究所  

  • p-Saturations of Welter’s game and the irreducible representations of symmetric groups Reviewed

    Yuki Irie

    Journal of Algebraic Combinatorics   48   247 - 287   2018( ISSN：1572-9192 )

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Springer New York LLC  

    We establish a relation between the Sprague–Grundy function [InlineEquation not available: see fulltext.] of p-saturations of Welter’s game and the degrees of the ordinary irreducible representations of symmetric groups. In these games, a position can be regarded as a partition (Formula presented.). Let (Formula presented.) be the irreducible representation of the symmetric group (Formula presented.) corresponding to (Formula presented.). For every prime p, we show the following results: (1) (Formula presented.) with equality if and only if the degree of (Formula presented.) is prime to p
    (2) the restriction of (Formula presented.) to (Formula presented.) has an irreducible component with degree prime to p. Further, for every integer p greater than 1, we obtain an explicit formula for (Formula presented.).

    DOI： 10.1007/s10801-017-0799-6

    Scopus

  • エネルギー公式を持つゲームについて (有限群・代数的組合せ論・頂点作用素代数の研究)

    入江 佑樹

    数理解析研究所講究録   2053   119 - 130   2017.10( ISSN：1880-2818 )

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    Language：Japanese   Publishing type：(MISC) Introduction and explanation (bulletin of university, research institution)   Publisher：京都大学数理解析研究所  

  • p-飽和マヤゲームと対称群の既約表現 (リー型の組合せ論)

    入江 佑樹

    数理解析研究所講究録   2039   50 - 58   2017.7( ISSN：1880-2818 )

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    Language：Japanese   Publishing type：(MISC) Introduction and explanation (bulletin of university, research institution)   Publisher：京都大学数理解析研究所  

    CiNii Books

  • p 飽和Welterゲーム (有限群とその表現, 頂点作用素代数, 代数的組合せ論の研究)

    入江 佑樹

    数理解析研究所講究録   2003   77 - 81   2016.7( ISSN：1880-2818 )

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    Language：Japanese   Publishing type：(MISC) Introduction and explanation (bulletin of university, research institution)   Publisher：京都大学数理解析研究所  

    CiNii Books

  • 不偏ゲームとデザイン (デザイン、符号、グラフおよびその周辺)

    入江 佑樹

    数理解析研究所講究録   1956   94 - 100   2015.7( ISSN：1880-2818 )

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    Language：Japanese   Publishing type：(MISC) Introduction and explanation (bulletin of university, research institution)   Publisher：京都大学数理解析研究所  

    CiNii Books

  • マヤゲームとSteiner system S(5,6,12) (有限群とその表現,頂点作用素代数,代数的組合せ論の研究)

    入江 佑樹

    数理解析研究所講究録   1872   169 - 175   2014.1( ISSN：1880-2818 )

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    Language：Japanese   Publishing type：(MISC) Introduction and explanation (bulletin of university, research institution)   Publisher：京都大学数理解析研究所  

    CiNii Books

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Presentations

  • On combinatorial games and algebraic structures Invited

    Yuki Irie

    2023.2 

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    Event date： 2023.2

    Language：Japanese   Presentation type：Oral presentation(invited, special)  

  • Games, designs, and commutative rings: A characterizations of projective Steiner triple systems

    Yuki Irie

    Combinatorial Games and Puzzles 16  2022.3 

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    Event date： 2022.3

    Language：Japanese  

  • A base Sprague-Grundy type theorem

    Yuki Irie

    2021.8 

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    Event date： 2021.8

    Language：Japanese   Presentation type：Oral presentation(general)  

  • A base-p Sprague-Grundy type theorem: Maya game and representations of generalized symmetric groups

    Yuki Irie

    The 37th Algebraic Combinatorics Symposium  2021.6 

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    Event date： 2021.6

    Language：English  

  • Designs and Combinatorial Games

    Yuki Irie

    Algebra and Its Applications  2021.3  Nobuo Tsuzuki

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    Event date： 2021.3

    Language：Japanese  

  • Games and Designs

    Yuki Irie

    Japan Combinatorial Game Theory Workshop 4  2020.8 

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    Event date： 2020.8

    Language：Japanese  

  • Representations of Symmetric Groups and the Game of Maya Invited

    Yuki Irie

    Hakata Workshop;Winter Meeting 2020  2020.2  Yoshihiro Mizoguchi, Tetsuji Taniguchi, Osamu Shimabukuro, Makoto Tagami, Hirotake Kurihara, Shuya Chiba, Tsuyoshi Miezaki, Daniel GAINA, Ryoya Fukasaku

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    Event date： 2020.2

    Language：Japanese   Presentation type：Oral presentation(general)  

  • Representations of Symmetric Groups and Welter’s Game Invited International conference

    Yuki Irie

    Joint Mathematics Meetings 2020  2020.1  Richard Green, Manabu Hagiwara

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    Event date： 2020.1

    Language：English   Presentation type：Oral presentation(general)  

    Venue：Colorado Convention Center, Denver   Country：United States  

  • Representations of Generalized Symmetric Groups and Sums of Welter's Game International conference

    Yuki Irie

    Japan Conference on Discrete and Computational Geometry, Graphs, and Games: JCDCG^3  2019.9  Jin Akiyama, Erik D. Demaine, Hiro Ito, Mikio Kano,Naoki Katoh, Stefan Langerman, Toshinori Sakai, Jorge Urrutia

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    Event date： 2019.9

    Language：English   Presentation type：Oral presentation(general)  

    Venue：Tokyo Univ. of Science  

  • Representations of Generalized Symmetric Groups and Sums of Welter's Games

    Yuki Irie

    Japan Combinatorial Game Theory Workshop  2019.8 

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    Event date： 2019.8

    Language：Japanese   Presentation type：Oral presentation(general)  

  • p-saturations of Maya and irreducible representations of symmetric groups

    Yuki Irie

    Combinatorial Games and Puzzles  2019.3 

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    Event date： 2019.3

    Language：Japanese  

  • Irreducible representations of symmetric groups and p-Saturations of Maya game Invited

    Yuki Irie

    2019.2 

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    Event date： 2019.2

    Language：Japanese  

  • p-Saturations of Welter's game and the irreducible representations of symmetric groups International conference

    Yuki Irie

    Combinatorial Game Theory Colloquium III  2019.1 

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    Event date： 2019.1

    Language：English   Presentation type：Oral presentation(general)  

  • Take-away games with the same Sprague-Grundy function as Nim

    Yuki Irie

    RIMS "Research on algebraic combinatorics, related groups and algebras"  2018.12  Manabu Oura

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    Event date： 2018.12

    Language：Japanese   Presentation type：Oral presentation(general)  

    Venue：Kyoto  

  • Irreducible representations of symmetric groups and p-Saturations of Maya game Invited

    Yuki Irie

    2018.11 

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    Event date： 2018.11

    Language：Japanese  

  • p-Saturations of Nim, Misere Nim, and Welter’s Game International conference

    Yuki Irie

    Integers Conference 2018  2018.10  Bruce Landman, David Leach, Florian Luca, Melvyn Nathanson, Jaroslav Nesetril, Richard Nowakowski, Aaron Robertson

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    Event date： 2018.10

    Language：English   Presentation type：Oral presentation(general)  

    Venue：Augusta, Georgia  

  • Games and Representations

    Yuki Irie

    Japan Combinatorial Game Theory Workshop 2  2018.8 

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    Event date： 2018.8

    Language：Japanese   Presentation type：Oral presentation(general)  

    Venue：Tsukuba University  

  • p 飽和マヤゲームと対称群の既約表現

    入江 佑樹

    日本数学会2018年度年会  2018.3 

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    Event date： 2018.3

    Language：Japanese  

  • p-飽和マヤゲームと対称群の既約表現 Invited

    入江 佑樹

    筑波大学数学特別セミナー  2017.11 

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    Event date： 2017.11

    Language：Japanese  

  • 対称群の分岐則と p-core towers

    Yuki Irie

    2017 年度 RIMS 研究集会 「表現論と組合せ論」  2017.10  和地輝仁

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    Event date： 2017.10

    Language：Japanese  

    Venue：京都大学  

  • 桁分離型 Sprague-Grundy 関数を持つ不偏ゲーム

    Yuki Irie

    第 34 回代数的組合せ論シンポジウム  2017.6  佐藤巖、三橋秀生、森田英章、宗政昭弘、山内博

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    Event date： 2017.6

    Language：Japanese  

    Venue：小山商工会議所会館  

  • エネルギー公式を持つゲームについて

    Yuki Irie

    RIMS 研究集会「有限群・代数的組合せ論・頂点作用素代数の研究」  2016.12  山内博

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    Event date： 2016.12

    Language：Japanese  

    Venue：京都大学  

  • p-飽和マヤゲームと対称群の既約表現

    Yuki Irie

    RIMS Conference 「リー型の組合せ論」  2016.10  山田裕史

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    Event date： 2016.10

    Language：Japanese  

    Venue：京都大学  

  • p-飽和 Welter ゲーム

    Yuki Irie

    RIMS 研究集会「有限群とその表現，頂点作用素代数，代数的組合せ論の研究」  2016.1  島倉裕樹

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    Event date： 2016.1

    Language：Japanese  

    Venue：京都大学  

  • m-飽和ゲーム

    Yuki Irie

    離散数学とその応用研究集会  2015.8  城本啓介、千吉良直紀、千葉周也、籾原幸二

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    Event date： 2015.8

    Language：Japanese  

    Venue：熊本大学  

  • 反転ニムゲーム

    Yuki Irie

    第 32 回代数的組合せ論シンポジウム  2015.6  平木彰、川越謙一、北詰正顕、大浦学

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    Event date： 2015.6

    Language：Japanese  

    Venue：石川県文教会館  

  • 不偏ゲームとデザイン

    Yuki Irie

    平成26年度RIMS共同研究 「デザイン、符号、グラフおよびその周辺」  2014.7  平尾 将剛 、藤沢潤、澤正憲、野崎寛

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    Event date： 2014.7

    Language：Japanese  

    Venue：京都大学  

  • Ternary Golay code が必勝形となる九つのゲーム

    Yuki Irie

    第 30 回代数的組合せ論シンポジウム  2013.6  北詰正顕、原田昌晃、新谷誠

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    Event date： 2013.6

    Language：Japanese  

    Venue：静岡大学  

  • Maya games と Steiner systems

    Yuki Irie

    第 9 回組合せ論若手研究集会  2013.3  太田克弘、野口健太、松下晋

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    Event date： 2013.3

    Language：Japanese  

    Venue：慶應義塾大学  

  • マヤゲームと Steiner system S(5,6,12)

    Yuki Irie

    RIMS 研究集会「有限群とその表現，頂点作用素代数，代数的組合せ論の研究」  2013.1  竹ヶ原裕元

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    Event date： 2013.1

    Language：Japanese  

    Venue：京都大学  

  • 有向グラフの mutation が生成する群について

    Yuki Irie

    第 9 回「代数学と計算」研究集会  2011.11  中村憲、脇克志、津村博文、内山成憲

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    Event date： 2011.11

    Language：Japanese  

    Venue：首都大学東京  

  • グラフの変異 (mutation) が生成する群について

    Yuki Irie

    第 28 回代数的組合せ論シンポジウム  2011.6  秋山献之、末竹千博、田中正紀

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    Event date： 2011.6

    Language：Japanese  

    Venue：大分大学  

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Teaching Experience (On-campus)

  • Fundamentals of Mathematics with Exercises

    2023Year

  • Linear Algebra I

    2023Year

  • Linear Algebra II

    2023Year

Professional Memberships

  • THE MATHEMATICAL SOCIETY OF JAPAN

    2018.4