Updated on 2024/10/10
博士（数理学） ( 2007.3 九州大学 )
representation theory of symmetric group
random matrix
symmetric function
Weingarten calculus
Natural Science / Basic analysis / Probability Theory
Natural Science / Algebra / Representation Theory, Algebraic Combinatorics
Kagoshima University Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Department of Science Mathematics and Informatics Program Professor
2023.10
Kagoshima University Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Department of Science Mathematics and Informatics Program Associate Professor
2020.4 - 2023.9
Kagoshima University Associate Professor
2014.4 - 2023.9
Kagoshima University Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Mathematics and Computer Science Course Associate Professor
2014.4 - 2020.3
Nagoya University Assistant Professor
2009.1 - 2014.3
Country：Japan
日本数学会
2004.4
日本数学会
Sho Matsumoto and Colin McSwiggen . Moments of Random Quantum Marginals via Weingarten Calculus . International Mathematics Research Notices2023 ( 22 ) 19306 - 19339 2023.5Reviewed International coauthorship
Sho Matsumoto and Piotr Śniady . Symmetric group characters of almost square shape . Algebraic Combinatorics5 ( 4 ) 771 - 784 2022.9Symmetric group characters of almost square shapeReviewed International coauthorship
松本 詔 . 長方形ヤング図形に対応する対称群指標の新しい表示 (組合せ論的表現論および関連分野との連携) . 数理解析研究所講究録2216 64 - 81 2022.4長方形ヤング図形に対応する対称群指標の新しい表示 (組合せ論的表現論および関連分野との連携)
松本 詔 . The Weingarten calculus . Notices Of The American Mathematical Society- 2022The Weingarten calculusReviewed International coauthorship
松本 詔 . 対称群のスピン表現に対するStanley指標公式 (表現論とその組合せ論的側面) . 数理解析研究所講究録 ( 2161 ) 58 - 72 2020.6
Sho Matsumoto, Piotr Śniady . Linear versus spin: representation theory of the symmetric groups . Algebraic Combinatorics3 ( 1 ) 249 - 280 2020.2Linear versus spin: representation theory of the symmetric groupsReviewed
Sho Matsumoto, Piotr Śniady . Random strict partitions and random shifted tableaux . Selecta Mathematica 26 ( 10 ) 2020.1Random strict partitions and random shifted tableauxReviewed
松本 詔 . 対称群のスピン表現に対するKerov多項式 (組合せ論的表現論の諸相) . 数理解析研究所講究録 ( 2127 ) 50 - 65 2019.9
Sho Matsumoto . A spin analogue of Kerov polynomials . Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)14 2018A spin analogue of Kerov polynomialsReviewed
Matsumoto Sho . Polynomiality of Plancherel Averages on Strict Partitions (Combinatorics of Lie Type) . RIMS Kokyuroku ( 2039 ) 59 - 78 2017.7
Benoit Collins, Sho Matsumoto . Weingarten calculus via orthogonality relations: new applications . ALEA, Latin American Journal of Probability and Mathematical Statistics14 631 - 656 2017Reviewed
Sho Matsumoto . Polynomiality of shifted Plancherel averages and content evaluations . Annales Mathématiques Blaise Pascal24 ( 1 ) 55 - 82 2017Reviewed
Juan-Diego Urbina, Jack Kuipers, Sho Matsumoto, Quirin Hummel, Klaus Richter . Multiparticle Correlations in Mesoscopic Scattering: Boson Sampling, Birthday Paradox, and Hong-Ou-Mandel Profiles . Physical Review Letters116 2016.3Multiparticle Correlations in Mesoscopic Scattering: Boson Sampling, Birthday Paradox, and Hong-Ou-Mandel ProfilesReviewed
Tiefeng Jiang and Sho Matsumoto . Moments of traces of circular beta-ensembles . the Annals of Probability43 ( 6 ) 3279 - 3336 2015Moments of traces of circular beta-ensemblesReviewed
Sho Matsumoto, Sanefumi Moriyama . ABJ fractional brane from ABJM Wilson loop . Journal of High Energy Physics ( 3 ) 2014.3ABJ fractional brane from ABJM Wilson loopReviewed
Benoit Collins, Sho Matsumoto, Nadia Saad . Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices . Journal of Multivariate Analysis126 1 - 13 2014.1Integration of invariant matrices and moments of inverses of Ginibre and Wishart matricesReviewed
Sho Matsumoto . Weingarten calculus for matrix ensembles associated with compact symmetric spaces . Random Matrices: Theory and Applications2 ( 2 ) 2013Weingarten calculus for matrix ensembles associated with compact symmetric spacesReviewed
Sho Matsumoto, Jonathan Novak . Jucys-Murphy elements and unitary matrix integrals . International Mathematics Research Notices ( 2 ) 362 - 397 2013Jucys-Murphy elements and unitary matrix integralsReviewed
Sho Matsumoto . Moments of a single entry of circular orthogonal ensembles and Weingarten calculus . Letters in Mathematical Physics103 113 - 130 2013Moments of a single entry of circular orthogonal ensembles and Weingarten calculus Reviewed
Sho Matsumoto, Tomoyuki Shirai . Correlation functions for zeros of a Gaussian power series and Pfaffians . Electronic Journal of Probability18 ( 49 ) 1 - 18 2013Correlation functions for zeros of a Gaussian power series and PfaffiansReviewed
Sho Matsumoto . General moments of matrix elements from circular orthogonal ensembles . Random Matrices: Theory and Applications1 ( 3 ) 2012General moments of matrix elements from circular orthogonal ensemblesReviewed
Sho Matsumoto . General moments of the inverse real Wishart distribution and orthogonal Weingarten functions . Journal of Theoretical Probability 25 ( 3 ) 798 - 822 2012General moments of the inverse real Wishart distribution and orthogonal Weingarten functionsReviewed
Sho Matsumoto . Jucys-Murphy elements, orthogonal matrix integrals, and Jack measures . The Ramanujan Journal26 ( 1 ) 69 - 107 2011Jucys-Murphy elements, orthogonal matrix integrals, and Jack measuresReviewed
Benoit Collins, Sho Matsumoto . On some properties of orthogonal Weingarten functions . Journal of Mathematical Physics50 ( 11 ) 2009On some properties of orthogonal Weingarten functionsReviewed
Sho Matsumoto . Moments of characteristic polynomials of a random matrix associated with compact symmetric spaces . Infinite dimensional harmonic analysis IV, World Sci. Publ., Hackensack, NJ 196 - 208 2009Moments of characteristic polynomials of a random matrix associated with compact symmetric spacesReviewed
Kazufumi Kimoto, Sho Matsumoto, Masato Wakayama . Alpha-determinant cyclic modules and Jacobi polynomials . Transactions of the American Mathematical Society361 ( 12 ) 6447 - 6473 2009Alpha-determinant cyclic modules and Jacobi polynomialsReviewed
Sho Matsumoto . Jack deformations of Plancherel measures and traceless Gaussian random matrices . Electronic Journal of Combinatorics15 ( 1 ) 2008Jack deformations of Plancherel measures and traceless Gaussian random matrices Reviewed
Sho Matsumoto . Hyperdeterminantal expressions for Jack functions of rectangular shapes . Journal of Algebra320 ( 2 ) 612 - 632 2008Hyperdeterminantal expressions for Jack functions of rectangular shapesReviewed
Sho Matsumoto . Moments of characteristic polynomials for compact symmetric spaces and Jack polynomials . Journal of Physics A40 ( 45 ) 13567 - 13586 2007Moments of characteristic polynomials for compact symmetric spaces and Jack polynomialsReviewed
Sho Matsumoto, Masato Wakayama . Alpha-determinant cyclic modules of gln(C) . Journal of Lie Theory16 ( 2 ) 393 - 405 2006Alpha-determinant cyclic modules of gln(C)Reviewed
Sho Matsumoto . Alpha-Pfaffian, Pfaffian point process and shifted Schur measure . Linear Algebra and its Applications403 369 - 398 2005Alpha-Pfaffian, Pfaffian point process and shifted Schur measureReviewed
Kazufumi Kimoto, Nobushige Kurokawa, Sho Matsumoto, Masato Wakayama . Multiple finite Riemann zeta functions . Acta Arithmetica116 ( 2 ) 173 - 187 2005Multiple finite Riemann zeta functionsReviewed
Sho Matsumoto . A scaling limit for t-Schur measures . Kyushu Journal of Mathematics59 ( 1 ) 25 - 38 2005A scaling limit for t-Schur measuresReviewed
Sho Matsumoto . Correlation functions of the shifted Schur measure . Journal of the Mathematical Society of Japan57 ( 3 ) 619 - 637 2005Correlation functions of the shifted Schur measureReviewed
松本詔 スピン対称群の既約指標とランダムYoung図形の極限形状 Invited International coauthorship
2023年度表現論シンポジウム 2023.11
Sho Matsumoto Law of large numbers for Schur-Weyl measures on shifted Young diagrams International conference
2023.6
Sho Matsumoto Weingarten calculus and counting paths on Weingarten graphs International conference
Random matrices and their applications 2018.5
Sho Matsumoto Plancherel measures on strict partitions: Polynomiality and limit shape problems Invited International conference
Workshop on Asymptotic Reprensentation Theory 2017.2
松本詔 Weingarten calculus と 対称群の調和解析 Invited
日本数学会2015年度秋季総合分科会 2015.9 日本数学会
松本詔 ランダム・シフトヤング図形の大数の法則
数理的学術交流会 2023.9
Sho Matsumoto Moments of partial traces for random Hermitian matrices and Weingarten calculus International conference
Seminar Bielefeld - Melbourne Random Matrices 2023.1
松本詔 対称群の正規化指標に関する幾つかの結果とスピン類似
2022.11
松本詔 長方形ヤング図形に対応する対称群指標の新しい表示
RIMS共同研究(公開型)「組合せ論的表現論および関連分野との連携」 2021.10
松本詔 ほぼ正方形のヤング図形に対応する対称群の正規化指標 International coauthorship
第2回 分布族・離散集合の幾何学とその周辺 2021.3
松本詔 対称群のスピン指標のStanley指標公式 Invited
JCCA2020-DMIA2020-SGT9
松本 詔 対称群のスピン表現に対するStanley指標公式 International conference
RIMS共同研究（公開型）「表現論とその組合せ的側面」
Sho Matsumoto Kerov polynomials and Stanley formulas for spin symmetric groups International conference
Interactions between commutative and non-commutative probability
松本 詔 Kerov多項式とStanley指標公式
可換確率論と非可換確率論の相互作用準備会
Sho Matsumoto Weingarten calculus for random matrices associated with the compact symmetric space of class D III International conference
Workshop on "Random Matrices and Related Topics"
松本詔 対称群のスピン表現に対するKerov多項式
RIMS共同研究（公開型）「組合せ論的表現論の諸相」
松本詔 直交群の Weingarten calculus と Weingarten グラフ Invited
2018年度（第57回）実函数論・函数解析学合同シンポジウム
松本詔 Weingarten calculus for Haar distributed matrices and Wishart matrices Invited
確率・統計・行列ワークショップ松本2017
松本詔 Introduction to Weingarten calculus via orthogonal relations
ワークショップ「行列解析の展開」
松本詔 Polynomiality of Plancherel averages on strict partitions
RIMS集会「リー型の組合せ論」
松本詔 Polynomiality of Plancherel averages on strict partitions
表現論がつなぐ数学 2016
松本詔 マップの数え上げによるSchwinger-Dyson 方程式の解の構成
鹿児島解析・確率論セミナー
松本詔 ランダム行列とマップの数え上げ
第1回「Free Monotone Transport」を読む会
松本詔 ランダム行列と順列の数え上げ
Kunitachi One-Day Symposium on the Recent Developments in the Mathematical Science
松本詔 SU(n)のWeingarten calculusへ向けて
表現論がつなぐ数学2015 松本詔
松本詔 円βアンサンブルの中心極限定理とJack多項式
第10回代数・解析・幾何セミナー 第10回代数・解析・幾何セミナー
松本詔 円βアンサンブルのトレースの中心極限定理
確率論シンポジウム 確率論シンポジウム
松本詔 Central limit theorems for traces in circular beta-ensembles
Zeta Functions in OKINAWA 2014 Zeta Functions in OKINAWA 2014
松本詔 ランダム行列の行列成分と組合せ論
第192回数理情報科学談話会 第192回数理情報科学談話会
松本詔 例外型コンパクトLie群G2上のWeingarten calculus
研究集会「Zeta Functions in OKINAWA 2013」 研究集会「Zeta Functions in OKINAWA 2013」
松本詔 コンパクト対称空間に付随する行列空間上の多項式積分について
RIMS研究集会「組合せ論的表現論の展望」 RIMS研究集会「組合せ論的表現論の展望」
対称群の正規化指標と関連するランダムヤング図形, ランダム行列の研究
Grant number：22K03233 2022.4
日本学術振興会 科学研究費補助金 基盤研究(C)
松本 詔
Authorship：Principal investigator
Grant amount：\3380000 （ Direct Cost: \2600000 、 Indirect Cost：\780000 ）
Study on random partitions and random matrices based on combinatorics and representation theory
Grant number：17K05281 2017.4 - 2023.3
Japan Society for the Promotion of Science Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(C)
Authorship：Principal investigator
Grant amount：\3900000 （ Direct Cost: \3000000 、 Indirect Cost：\900000 ）
Generalization of derivations, noncommutative invariant theory, and noncommutative generating functions
Grant number：16K05067 2016.4 - 2022.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Minoru Itoh
Grant amount：\4550000 （ Direct Cost: \3500000 、 Indirect Cost：\1050000 ）
I introduced algebraic structures to discuss the Cayley-Hamilton theorem of higher order given by Y. Agaoka.
M. Hidaka and I proved that that the Schur polynomials in all nth primitive roots of unity are 1, 0, or -1, if n has at most two distinct odd prime factors. Moreover, J. Shimoyoshi and I studied on the existence of zero coefficients in the powers of the determinant polynomial of order n. D. G. Glynn proved that the coefficients of the mth power of the determinant polynomial are all nonzero, if m = p - 1 with a prime p. We proved that the converse also holds, if n is 3 or more.
表現論，ランダム行列とその周辺の研究
2013.4 - 2017.3
科学研究費補助金 若手研究(B)
