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Kamioka, Shuhei

Graduate School of Informatics, Department of Applied Mathematics and Physics Assistant Professor

Kamioka, Shuhei
list
    Last Updated :2022/05/14

    Basic Information

    Faculty

    • 工学部 工学部 情報学科

    Academic Degree

    • 修士（情報学）(京都大学)
    • 博士（情報学）(京都大学)

    Language of Instruction

    • English
    • Japanese

    ID,URL

    researchmap URL

    list
      Last Updated :2022/05/14

      Research

      Research Topics, Overview of the research

      • Research Topics

        Enumerative combinatorics, application of integrable systems and orthogonal polynomials to combinatorics

      Research Areas

      • Natural sciences, Applied mathematics and statistics

      Papers

      • 対称平面分割の母関数のパフィアン表示
        上岡修平
        九州大学応用力学研究所 研究集会報告29AO-S7「非線形波動研究の新潮流―理論とその応用」, Mar. 2018, Peer-reviewed
      • A Pfaffian for plane partitions
        S. Kamioka; K. Morii
        Reports of RIAM Symposium No.28AO-S6, Mar. 2017, Peer-reviewed
      • Multiplicative partition functions for reverse plane partitions derived from an integrable dynamical system
        S. Kamioka
        Sém. Lothar. Combin, 2017, Peer-reviewed
      • Plane partitions and orthogonal polynomials
        S. Kamioka
        RIMS Kôkyûroku 1986, Apr. 2016
      • A triple product formula for plane partitions derived from biorthogonal polynomials
        S. Kamioka
        DMTCS proc., 2016, Peer-reviewed
      • Connections among tiling problems, integrable systems and orthogonal polynomials
        上岡 修平
        Reports of RIAM Symposium No.26AO-S2, 2015, Peer-reviewed
      • Laurent biorthogonal polynomials, q-Narayana polynomials and domino tilings of the Aztec diamonds
        Shuhei Kamioka
        JOURNAL OF COMBINATORIAL THEORY SERIES A, Apr. 2014, Peer-reviewed
      • Laurent biorthogonal polynomials and the Aztec diamond theorem
        S. Kamioka
        Reports of RIAM Symposium No.25AO-S2, Mar. 2014, Peer-reviewed
      • Combinatorial expressions of the solutions to initial value problems of the discrete and ultradiscrete Toda molecules
        Shuhei Kamioka; Tomoaki Takagaki
        Journal of Physics A: Mathematical and Theoretical, 06 Sep. 2013, Peer-reviewed
      • A combinatorial expression of the solution to the discrete Toda equation and its deautonomization
        S. Kamioka
        Reports of RIAM Symposium No.24AO-S3, Mar. 2013, Peer-reviewed
      • Integrable systems from the viewpoint of lattice path combinatorics
        S. Kamioka
        Sūrikaisekikenkyūsho Kōkyūroku Bessatsu, 2013, Peer-reviewed
      • Non-intersecting walks and discrete integrable systems
        S. Kamioka
        Reports of RIAM Symposium No.23AO-S7, Mar. 2012, Peer-reviewed
      • Frobenius-Stickelberger-Thiele continued fractions and walks on a graph
        S. Kamioka
        Reports of RIAM Symposium No.22AO-S8, Mar. 2011
      • A combinatorial expression of the solution to the ultradiscrete Toda equation
        T. Takagaki; S. Kamioka
        Reports of RIAM Symposium No.22AO-S8, Mar. 2011
      • A combinatorial interpretation of vector and matrix continued fractions
        F. Shingu; S. Kamioka
        Reports of RIAM Symposium No.21ME-S7, Mar. 2010
      • A combinatorial aspect of a discrete-time semi-infinite Lotka-Volterra equation
        Shuhei Kamioka; Satoru Mizutani
        JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, Feb. 2010, Peer-reviewed
      • Enumeration of plane paths and discrete integrable systems
        S. Kamioka
        Sūrikaisekikenkyūsho Kōkyūroku, 2009
      • A combinatorial derivation with Schroder paths of a determinant representation of Laurent biorthogonal polynomials
        Shuhei Kamioka
        ELECTRONIC JOURNAL OF COMBINATORICS, May 2008, Peer-reviewed
      • A combinatorial representation with Schroder paths of biorthogonality of Laurent biorthogonal polynomials
        Shuhei Kamioka
        ELECTRONIC JOURNAL OF COMBINATORICS, May 2007, Peer-reviewed
      • A combinatorial representation with Schroder paths of biorthogonality of Laurent biorthogonal polynomials
        Shuhei Kamioka
        ELECTRONIC JOURNAL OF COMBINATORICS, May 2007, Peer-reviewed
      • A combinatorial aspect of Laurent biorthogonal polynomials. Determinants and recurrences from the viewpoint of Schröder paths
        S. Kamioka
        Reports of RIAM Symposium No.18ME-S5, May 2007
      • A combinatorial aspect of Laurent biorthogonal polynomials
        S. Kamioka
        Reports of RIAM Symposium No.17ME-S2, May 2006
      • Graph theoretical aspects of integrable systems
        Y. Nakamura; S. Kamioka; N. Ohira
        数理解析研究所講究録, Apr. 2005

      Presentations

      • Askey–Wilson多項式から導く平面分割の積型和公式
        伊藤眞麻; 上岡修平
        日本数学会2021年度年会, 15 Mar. 2021
      • 双直交多項式から導かれる平面分割の積型母関数
        伊藤眞麻; 上岡修平
        日本数学会2020年度年会, 16 Mar. 2020
      • 離散2次元戸田分子と正方格子
        上岡修平
        第17回計算数学研究会, 01 Dec. 2019
      • 離散二次元戸田方程式を応用した平面分割の解析
        伊藤眞麻; 上岡修平
        日本応用数理学会2019年度年会, 05 Sep. 2019
      • 離散二次元戸田方程式によるタイリングの数え上げ
        上岡修平
        日本応用数理学会2019年度年会, 05 Sep. 2019
      • The discrete Toda equation proves the Aztec diamond theorem
        Shuhei Kamioka
        China-Japan Joint Workshop on Integrable Systems (CJJWIS) 2019, 21 Aug. 2019
      • 差分方程式によるアステカダイヤモンド定理の証明
        上岡修平
        日本数学会2019年度年会, 17 Mar. 2019
      • The discrete two-dimensional Toda equation gives nice formulae for reverse plane partitions
        Shuhei Kamioka
        Symmetries and Integrability of Difference Equations (SIDE) 13, 15 Nov. 2018
      • シュレーダー行列式の満たすある公式の組合せ論的証明
        上岡修平
        組合せ論サマースクール2018, 11 Aug. 2018
      • A determinant of the Schröder numbers and its application to enumerative combinatorics
        S. Kamioka
        Tsuda Univ. Colloquium, 29 Jun. 2018, Invited
      • A nice partition function for reverse plane partitions derived from a discrete integrable system
        S. Kamioka
        The Japanese Conference on Combinatorics and its Applications (JCCA) 2018, 21 May 2018
      • A refinement of a generating function for symmetric plane partitions
        S. Kamioka
        MSJ Annual Meeting 2018, 19 Mar. 2018
      • Nice formulas for plane partitions from an integrable system
        S. Kamioka
        Algebraic and Enumerative Combinatorics in Okayama, 20 Feb. 2018, Invited
      • A combinatorial expression of solutions to the ultradiscrete Toda molecule
        S. Kamioka
        第15回計算数学研究会, 02 Dec. 2017
      • Symmetric reverse plane partitions and the discrete two-dimensional Toda molecule
        S. Kamioka
        平成29年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の新潮流―理論とその応用」, 11 Nov. 2017
      • Partition functions for reverse plane partitions derived from the two-dimensional Toda molecule
        S. Kamioka
        MSJ Autumn Meeting 2017, 11 Sep. 2017, Invited
      • Jeu de taquin and the ultradiscrete Toda equation
        S. Kakei; S. Kamioka; Y. Ohta
        日本応用数理学会2017年度年会, 08 Sep. 2017
      • Nice partition functions derived from integrable systems
        S. Kamioka
        Osaka Combinatorics Seminar, 02 Sep. 2017, Invited
      • Multiplicative partition functions for reverse plane partitions derived from an integrable dynamical system
        S. Kamioka
        29th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC), 09 Jul. 2017
      • Plane partitions and the discrete 2D Toda molecule
        S. Kamioka
        The 10th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, 30 Mar. 2017
      • A multiplicative partition function for symmetric plane partitions
        S. Kamioka; K. Morii
        MSJ Annual Meeting 2017, 25 Mar. 2017
      • A partition function for symmetric plane partitions with a Pfaffian expression
        S. Kamioka; K. Morii
        The 13th Meeting of the Union of Research Activity Groups, JSIAM, 06 Mar. 2017
      • Summation formulae for plane partitions derived from the discrete two-dimensional Toda molecule
        S. Kamioka
        Umeda MATH, 28 Jan. 2017, Invited
      • A Pfaffian for plane partitions
        S. Kamioka; K. Morii
        平成28年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の深化と展開」, 05 Nov. 2016
      • Plane partitions and a discrete integrable system
        S. Kamioka
        International Conference for the 70th Anniversary of Korean Mathematical Society, 22 Oct. 2016, Invited
      • A connection between plane partitions and integrable systems
        S. Kamioka
        Seminar on Global Analysis, Kumamoto Univ., 17 Oct. 2016, Invited
      • A product formula for skew plane partitions and the discrete two-dimensional Toda molecule
        S. Kamioka
        MSJ Autumn Meeting 2016, 15 Sep. 2016
      • Product formulae for plane partitions from the discrete two-dimensional Toda molecule
        S. Kamioka
        RIMS Symposium "Studies on Integrable Systems: State of the Art and Perspective for Future", 07 Sep. 2016, Invited
      • A product formula for skew plane partitions
        S. Kamioka
        Combinatorics Summer School 2016, 26 Aug. 2016
      • A triple product formula for plane partitions derived from biorthogonal polynomials
        S. Kamioka
        The 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), 08 Jul. 2016
      • Triple product formulae for boxed plane partitions derived from orthogonal polynomials
        S. Kamioka
        The Japanese Conference on Combinatorics and its Applications (JCCA 2016), 22 May 2016
      • Product formulae for plane partitions
        S. Kamioka
        応用解析研究会〜可積分系から計算数学まで, 19 May 2016
      • A generalization of the q-Chu-Vandermonde sum for basic hypergeometric series
        S. Kamioka
        MSJ Annual Meeting 2016, 18 Mar. 2016
      • A new summation formula for plane partitions from the discrete two-dimensional Toda molecule
        S. Kamioka
        The 12th Meeting of the Union of Research Activity Groups, JSIAM, 05 Mar. 2016
      • Matrix S-fractions and lattice path combinatorics
        S. Kamioka
        小研究会「有理函数近似が繋ぐ可積分系・直交多項式・パンルヴェ方程式」, 30 Jan. 2016, Invited
      • Plane partitions and the discrete two-dimensional Toda molecule
        Shuhei Kamioka
        明治大学先端数理科学インスティテュート共同研究集会「可積分系が拓く現象数理モデル」, 06 Nov. 2015
      • The discrete two-dimensional Toda molecule and trace generating functions for plane partitions
        Shuhei Kamioka
        The 13th CMS, 10 Oct. 2015
      • Plane partitions and orthogonal polynomials
        S. Kamioka
        MSJ Autumn Meeting 2015, 15 Sep. 2015
      • Discrete two-dimensional Toda molecule and the trace generating functions for plane partitions
        S. Kamioka
        JSIAM Annual Meeting 2015, 09 Sep. 2015
      • Plane partitions and the little q-Laguerre polynomials
        S. Kamioka
        Combinatorics Summer School 2015, 05 Sep. 2015
      • Biorthogonal polynomials, the discrete two-dimensional Toda molecule and plane partitions
        S. Kamioka
        The 8th International Congress on Industrial and Applied Mathematics, 11 Aug. 2015
      • Plane partitions and orthogonal polynomials
        S. Kamioka
        The 4th RIMS Joint Research `Designs, Codes, Graphs and Related Areas', 10 Jul. 2015, Invited
      • Plane partitions and orthogonal polynomials
        S. Kamioka
        The 32nd Symposium on Algebraic Combinatorics, 22 Jun. 2015, Invited
      • Application of biorthogonal polynomials and the discrete two-dimensional Toda molecule to rhombus tilings
        S. Kamioka
        MSJ Annual Meeting 2015, 23 Mar. 2015
      • Solution-conserving discretization of a nonlinear stochastic differential equation
        S. Kamioka; S. Tsujimoto
        The 11th Meeting of the Union of Research Activity Groups, JSIAM, 06 Mar. 2015
      • Solvable tiling problems and the discrete two-dimensional Toda molecule
        S. Kamioka
        The 12th CMS, 26 Dec. 2014
      • Orthogonal polynomials and non-intersecting lattice paths
        S. Kamioka
        Two or Three Things We Know About Statistical Mechanics, 23 Dec. 2014
      • Different approaches to the Aztec diamond theorem
        S. Kamioka
        Search for Classical Analysis and Quantum Integrable Systems, 16 Nov. 2014, Invited
      • Tiling problems connected with integrable systems and orthogonal polynomials
        S. Kamioka
        平成26年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の現状―課題と展望を探る」, 30 Oct. 2014
      • Tilings of the Aztec diamonds and biorthogonal polynomials
        S. Kamioka
        MSJ Autumn Meeting 2014, 26 Sep. 2014
      • Tilings of the Aztec diamonds and biorthogonal polynomials
        S. Kamioka
        Combinatorics Summer School 2014, 06 Sep. 2014
      • The discrete two-dimensional Toda molecule and lattice path combinatorics
        S. Kamioka
        JSIAM Annual Meeting 2014, 04 Sep. 2014
      • Tilings of the Aztec diamonds and orthogonal polynomials
        S. Kamioka
        Nagoya University Combinatorics Seminar, 22 May 2014, Invited
      • A proof of Stanley’s multivariate Aztec diamond theorem by determinants and orthogonal polynomials
        S. Kamioka
        Japan Conference on Graph Theory and Combinatorics 2014, 19 May 2014
      • A generalization of the Aztec diamond theorem
        S. Kamioka
        The 10th Meeting of the Union of Research Activity Groups, JSIAM, 20 Mar. 2014
      • Laurent biorthogonal polynomials, q-Narayana polynomials and domino tilings of the Aztec diamonds
        S. Kamioka
        MSJ Annual Meeting 2014, 16 Mar. 2014
      • Combinatorics of integrable systems, orthogonal polynomials and continued fractions
        S. Kamioka
        小研究集会「有理函数近似が繋ぐ可積分系・直交多項式・パンルヴェ方程式」, 01 Feb. 2014, Invited
      • Laurent biorthogonal polynomials, q-Narayana polynomials and domino tilings of the Aztec diamonds
        S. Kamioka
        Algebraic Combinatorics and Representation Theory Seminar at KIAS, 20 Jan. 2014, Invited
      • Laurent biorthogonal polynomials and the Aztec diamond theorem
        S. Kamioka
        平成25年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の拡がり」, 01 Nov. 2013
      • A combinatorial expression of the solution to an initial value problem of the Toda molecule
        S. Kamioka
        MSJ Autumn Meeting 2013, 24 Sep. 2013
      • Discretization of stochastic logistic equation
        K. Shimizu; S. Kamioka; S. Tsujimoto
        JSIAM Annual Meeting 2013, 09 Sep. 2013
      • The q-Narayana polynomials as moments of Laurent biorthogonal polynomials
        S. Kamioka
        Combinatorics Summer School 2013, 04 Sep. 2013
      • Combinatorial expression of solutions to an initial value problem of the discrete and ultradiscrete Toda lattices
        S. Kamioka
        China-Japan Joint Workshop on Integrable Systems 2013, 19 Mar. 2013
      • A combinatorial expression of the solution to the discrete Toda equation and its deautonomization
        S. Kamioka
        平成24年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の最前線―構造と現象の多様性」, 02 Nov. 2012
      • Integrable systems from the viewpoint of lattice path combinatorics
        S. Kamioka
        RIMS Conference `The breadth and depth of nonlinear discrete integrable systems', 21 Aug. 2012, Invited
      • Laurent biorthogonal polynomials and an enumerative problem on non-intersecting walks
        S. Kamioka
        Symmetries and Integrablility of Difference Equations 10, 12 Jun. 2012
      • Non-intersecting walks and discrete integrable systems
        S. Kamioka
        平成23年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の進展―現象と数理の相互作用」, 28 Oct. 2011
      • Orthogonal functions, continued fractions and walks on graphs
        S. Kamioka
        The 11th International Symposium on Orthogonal Polynomials, Special Functions and Applications, 30 Aug. 2011
      • A combinatorial expression of the solution to the ultradiscrete Toda equation
        T. Takagaki; S. Kamioka
        The 7th Meeting of the Union of Research Activity Groups, JSIAM, 07 Mar. 2011
      • Combinatorial structure of the discrete hungry Toda equation
        F. Shingu; S. Kamioka
        The 7th Meeting of the Union of Research Activity Groups, JSIAM, 07 Mar. 2011
      • Enumerative aspects of orthogonal functions
        S. Kamioka
        The 34th Australian Conference on Combinatorial Mathematics and Combinatorial Computing, 07 Dec. 2010
      • Combinatorial approach to orthogonal functions
        S. Kamioka
        非線形数理若手の会, 15 Nov. 2010
      • Frobenius-Stickelberger-Thiele continued fractions and paths on a graph
        S. Kamioka
        平成22年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の新たな展開―現象とモデル化」, 29 Oct. 2010

      Awards

      • 19 Jun. 2015
        The Japan Society of Industrial and Applied Mathematics, JSIAM Award for an Excellent Talk by a Young Scientist

      External funds: Kakenhi

      • 直交多項式と可積分系による逆平面分割の解析
        Grant-in-Aid for Scientific Research (C)
        Basic Section 11010:Algebra-related
        Kyoto University
        上岡 修平
        From 01 Apr. 2019, To 31 Mar. 2024, Granted
        平面分割;数え上げ組合せ論;直交多項式;可積分系
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K03402/
      • Plane partitions from the viewpoint of biorthogonal polynomials
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Shuhei Kamioka
        From 01 Apr. 2016, To 31 Mar. 2019, Project Closed
        平面分割;直交多項式;数え上げ組合せ論;可積分系;代数的組合せ論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K05058/
      • The Hankel transform and discrete integrable systems
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        Shuhei KAMIOKA
        From 01 Apr. 2012, To 31 Mar. 2014, Project Closed
        数理物理;可積分系;組合せ論;行列式;Aztec diamond;非交叉径路;タイリング;完全マッチング;非交叉格子路
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24740059/
      • Discrete-time integrable systems and partition functions of vicious walk systems
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        Shuhei KAMIOKA
        Project Closed
        統計数学;組合せ論;可積分系;非衝突ランダムウォーク;直交多項式;連分数;タイリング;vicious walk;非交叉径路;Aztec diamond;行列式;Gessel-Viennotの補題;非交叉経路;グラフ;パデ近似;超離散可積分系
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22740063/
      list
        Last Updated :2022/05/14

        Education

        Teaching subject(s)

        • From Apr. 2011, To Mar. 2012
          基礎数理演習（数理）
          Spring, 工学部
        • From Apr. 2011, To Mar. 2012
          数理工学実験（数理）
          Fall, 工学部
        • From Apr. 2011, To Mar. 2012
          数理工学セミナー（数理）
          Fall, 工学部
        • From Apr. 2012, To Mar. 2013
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2013, To Mar. 2014
          Seminar on Applied Mathematics and Physics
          Fall, 工学部
        • From Apr. 2013, To Mar. 2014
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2014, To Mar. 2015
          Seminar on Applied Mathematics and Physics
          Fall, 工学部
        • From Apr. 2014, To Mar. 2015
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2015, To Mar. 2016
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2013, To Mar. 2014
          Elementary Course of Experimental Physics
          Spring, 工学部
        • From Apr. 2016, To Mar. 2017
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2016, To Mar. 2017
          Seminar on Applied Mathematics and Physics
          Fall, 工学部
        • From Apr. 2017, To Mar. 2018
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2017, To Mar. 2018
          Seminar on Applied Mathematics and Physics
          Fall, 工学部
        • From Apr. 2018, To Mar. 2019
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2019, To Mar. 2020
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2019, To Mar. 2020
          Seminar on Applied Mathematics and Physics
          Fall, 工学部
        • From Apr. 2020, To Mar. 2021
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2020, To Mar. 2021
          Applied Mathematics and Physics Laboratory
          Fall, 工学部
        • From Apr. 2020, To Mar. 2021
          Applied Mathematics and Physics Laboratory
          Fall, 工学部
        • From Apr. 2021, To Mar. 2022
          Exercise on Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2021, To Mar. 2022
          Seminar on Applied Mathematics and Physics
          Fall, 工学部

        Part-time lecturer

        • From 01 Apr. 2014, To 31 Mar. 2015
          Linear Algebra I
          2014年度春学期（前期）, 同志社大学, 理工学部
        • From 01 Apr. 2014, To 31 Mar. 2015
          Linear Algebra II
          2014年度秋学期（後期）, 同志社大学, 理工学部
        list
          Last Updated :2022/05/14

          Administration

          Faculty management (title, position)

          • From 01 Apr. 2011, To 31 Mar. 2012
            情報セキュリティWG委員
          • From 01 Apr. 2012, To 31 Mar. 2013
            情報セキュリティWG委員
          • From 01 Apr. 2014, To 31 Mar. 2015
            図書ＷＧ委員
          • From 01 Apr. 2014, To 31 Mar. 2015
            図書ＷＧ委員(兼任　数理コース)
          • From 01 Apr. 2015, To 31 Mar. 2016
            図書ＷＧ委員
          • From 01 Apr. 2017, To 31 Mar. 2018
            広報WG委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            広報WG委員
          • From 01 Apr. 2019, To 31 Mar. 2021
            情報セキュリティWG委員
          • From 01 Apr. 2019, To 31 Mar. 2021
            システム運用WG委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            評価WG委員

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