Yuki Irie

I am a senior assistant professor at RACMaS, Tohoku University.

Email: yirie * tohoku.ac.jp

Keywords: Combinatorial game, Representation, Design

Research

Published Work

  1. A base-$p$ Sprague-Grundy type theorem for $p$-calm subtraction games: Welter's game and representations of generalized symmetric groups, Integers 21B (To the Three Forefathers of Combinatorial Game Theory: The John Conway, Richard Guy, and Elwyn Berlekamp Memorial Volume), #A15 (1–27), 2021. (PDF)
  2. Combinatorial game distributions of Steiner systems, The Electronic Journal of Combinatorics 28(4), #P4.54 (1–21), 2021, https://doi.org/10.37236/9252 (PDF)
  3. The Sprague-Grundy functions of saturations of misère Nim, The Electronic Journal of Combinatorics 28(1), #P1.58 (1–15), 2021. https://doi.org/10.1007/s10801-017-0799-6 (PDF)
  4. $p$-Saturations of Welter's game and the irreducible representations of symmetric groups, Journal of Algebraic Combinatorics 48, 247–287, 2018. https://doi.org/10.1007/s10801-017-0799-6 (PDF)

Preprints

  1. On the stable Harbourne conjecture for ideals defining space monomial curves, arXiv:2203.15493 [math.AC] (with K. Fukumuro) to appear in Proceedings of the American Mathematical Society.
  2. Mixed-Radix Nim, arXiv:1801.00616 [math.CO].

Talks

  1. Games, designs, and commutative rings: A characterizations of projective Steiner triple systems, Combinatorial Games and Puzzles 16, Online, Mar 7, 2022.
  2. A base-$p$ Sprague-Grundy type theorem, Japan Combinatorial Game Theory Workshop 4, Online, Aug. 20, 2021.
  3. A base-$p$ Sprague-Grundy type theorem: Maya game and representations of generalized symmetric groups, The 37th Algebraic Combinatorics Symposium, Online, June 16, 2021.
  4. Designs and Combinatorial Games, RACMaS Symposium: Algebra and Its Applications, Online, Mar. 26, 2021.
  5. Games and Designs, Japan Combinatorial Game Theory Workshop 4, Aug. 30, 2020.
  6. Representations of Symmetric Groups and the Game of Maya, Hakata Workshop; Winter Meeting 2020, Hakata, Feb. 22, 2020.
  7. Representations of Symmetric Groups and Welter’s Game, Joint Mathematics Meetings 2020, Colorado Convention Center, Denver, Jan. 17, 2020.
  8. Representations of Generalized Symmetric Groups and Sums of Welter's Game, Japan Conference on Discrete and Computational Geometry, Graphs, and Games: JCDCG$^3$, Sep. 6, 2019.
  9. Representations of Generalized Symmetric Groups and Sums of Welter's Games, Japan Combinatorial Game Theory Workshop 3, Aug. 27, 2019.
  10. $p$-Saturations of Welter's game and the irreducible representations of symmetric groups, Combinatorial Games and Puzzles, The University of Electro-Communications, Mar. 10, 2019.
  11. Irreducible representations of symmetric groups and $p$-Saturations of Maya game, Ehime University, Feb. 22, 2019.
  12. $p$-Saturations of Welter's game and the irreducible representations of symmetric groups, Combinatorial Game Theory Colloquium III, Lisbon, Jan. 23, 2019.
  13. Take-away games with the same Sprague-Grundy function as Nim, RIMS "Research on algebraic combinatorics, related groups and algebras", Kyoto University, Dec. 12, 2018.
  14. Irreducible representations of symmetric groups and $p$-Saturations of Maya game, Kawai Hall, Tohoku University, Nov. 26, 2018.
  15. $p$-Saturations of Nim, Misere Nim, and Welter's Game, Integers Conference 2018, Augusta, Oct. 5, 2018.
  16. Games and Representations, Japan Combinatorial Game Theory Workshop 2, Tsukuba University, Aug. 18, 2018.
  17. $p$-Saturations of Welter's game and the irreducible representations of symmetric groups, Annual Meeting of the Mathematical Society of Japan, The University of Tokyo, May 19, 2018.
  18. $p$-Saturations of Maya game and the irreducible representations of symmetric groups, University of Tsukuba, Nov. 2, 2017.
  19. The Branching Rule for Symmetric Groups and $p$-core Towers, RIMS Workshop Representation Theory and Combinatorics, Kyoto University, Oct. 10, 2017.
  20. Impartial games with digit-separable Sprague-Grundy functions, The 34th Symposium on Algebraic Combinatorics, Oyama, June 15, 2017.
  21. On games with energy formulas, RIMS Workshop Research on Finite Groups, Algebraic Combinatorics and Vertex Operator Algebras, Kyoto University, Dec. 7, 2016.
  22. $p$-saturations of Maya game and the irreducible representations of symmetric groups, RIMS Conference Combinatorics of Lie Type, Kyoto University, Oct. 4, 2016.
  23. $p$-saturations of Welter's game, RIMS Workshop Research on Finite Groups and Their Representations, Vertex Operator Algebras, and Algebraic Combinatorics, Kyoto University, Jan. 6, 2016 .
  24. m-saturations of games, Discrete Mathematics and Applications, Kumamoto University, Aug. 22, 2015.
  25. Inverted Nim, The 32nd Symposium on Algebraic Combinatorics, Ishikawa, June 22, 2015.
  26. Impartial games and designs, Designs, Codes, Graphs and Related Areas, Kyoto University, July 24, 2014.
  27. Nine games whose winnig positions are ternary Golay codes, The 30th Symposium on Algebraic Combinatorics, Shizuoka University, June 24, 2013.
  28. Maya games and Steiner systems, 9th Workshop on Combinatorics for Young Researchers, Keio University, Mar. 16, 2013.
  29. Maya games and Steiner system S(5,6,12), RIMS Workshop Research on finite groups and their representations, vertex operator algebras, and algebraic combinatorics, Kyoto University, Jan. 10, 2013.
  30. On groups generated by quiver mutations, The 9th Symposium on Algebra and Computation, Nov. 8, 2011.
  31. On groups generated by mutations of graphs, The 28th Symposium on Algebraic Combinatorics, Oita University, June 20, 2011.

Misc

  1. Walks: A Beginner's Guide to Graphs and Matrices, Interdisciplinary Information Sciences 26(1), 1–39, 2020
  2. Take-away games with the same Sprague-Grundy function as Nim (in Japanese), Kôkyûroku 2148, 152–165, 2020.
  3. The Branching Rule for Symmetric Groups and $p$-core Towers (in Japanese), Kôkyûroku 2075, 1–16, 2018.
  4. On games with energy formulas (in Japanese), Kôkyûroku 2053, 119–139, 2017.
  5. $p$-saturations of Maya game and the irreducible representations of symmetric groups (in Japanese), Kôkyûroku 2039, 50–58, 2017.
  6. $p$-saturations of Welter's game (in Japanese), Kôkyûroku 2003, 77–81, 2016.
  7. Impartial games and designs (in Japanese), Kôkyûroku 1956, 94–100, 2015.
  8. Maya games and Steiner system $S(5,6,12)$ (in Japanese), Kôkyûroku 1872, 169–175, 2014.

Grants

Events

Tips

Links