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Research

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Field of Study

○ Mathematics

Subject of Study

○ Classical Analysis (The Painleve equations, asymptotic analysis, Discrete equations)

Book / Paper

Academic Paper (Judged Full Paper):

1. Yousuke Ohyama, Ramis Jean-Pierre and Sauloy Jacques :
The space of monodromy data for the JimboSakai family of q-difference equations,
Annales de la faculté des sciences de Toulouse Mathématiques, 29, 5, 1119-1250, 2020.
(DOI: 10.5802/afst.1659)
2. Yousuke Ohyama and Okamoto Kazuo :
Mathematical works of Hiroshi Umemura,
Annales de la faculté des sciences de Toulouse Mathématiques, 29, 5, 1053-1062, 2020.
(DOI: 10.5802/afst.1656)
3. Yousuke Ohyama and Shoji Okumura :
R. Fuchs' problem of the Painlevé equations,
Contemporary Mathematics, 593, 163-178, 2013.
4. Yousuke Ohyama and Kazuo Kaneko :
Meromorphic Painlevé transcendents at a fixed singularity,
Mathematische Nachrichten, 286, 8-9, 861-875, 2013.
(DOI: 10.1002/mana.200810241)

Academic Paper (Unrefereed Paper):

1. Yousuke Ohyama :
パンルヴェ方程式の代数解析,
[2025年度日本数学会年会]総合講演・企画特別講演アブストラクト, 81-91, 2025.
(Tokushima University Institutional Repository: 2013196)
2. Yousuke Ohyama :
超幾何級数・小史,
数学・計算機科学研究所 所報, 45, 2024.
3. Yousuke Ohyama :
楕円函数と Painleve 性について,
第31回数学史シンポジウム報告集, 43, 77-104, 2022.
(Tokushima University Institutional Repository: 2010172,   CiNii: 1520855132286872320)
4. Yousuke Ohyama :
Connection formula of basic hypergeometric series, r{r-1}(0 ; b; q, x),
Journal of Mathematics, Tokushima University, 51, 29-36, 2017.
5. Yousuke Ohyama :
q-Stokes Phenomenon of a Basic Hypergeometric Series 1phi1(0;a;q;x),
Journal of Mathematics, Tokushima University, 50, 49-60, 2016.
(Tokushima University Institutional Repository: 2004107)

Review, Commentary:

1. Yousuke Ohyama and 岡本 和夫 :
梅村浩氏の楕円関数論,
梅村浩「楕円関数論」, 363-366, May 2020.

Proceeding of International Conference:

1. Yousuke Ohyama :
Connection problem of q-linear equations and the q-Painleve fifth equation,
Symmetries and Integrability of Difference Equations SIDE 15, Sirmione, Italy, Jun. 2025.
2. Yousuke Ohyama :
Asymptotics of the q-Struve-Lommel functions,
Equations differentielles et aux differences : Analyse, arithmetique et approches galoisiennes, Lille (France), Apr. 2025.
3. Yousuke Ohyama :
Connection Problems on q-linear equations associated to the Painleve equations,
Moduli spaces of connections, Higgs Bundles and Riemann-Hilbert correspondences, Kyoto, Aug. 2024.
4. Yousuke Ohyama :
Nonlinear and linear connection problems on q-Painleve equations,
11th Workshop on Integrable Systems, Sydney, Dec. 2023.
5. Yousuke Ohyama :
q-connection spaces of q-Painlevé equations,
Various problems in microlocal analysis and asymptotic analysis, Kyoto, Nov. 2023.
6. Yousuke Ohyama :
Riemann-Hilbert problem on the q-Painleve equations,
10th International Congress on Industrial and Applied Mathematics, Tokyo, Aug. 2023.
7. Yousuke Ohyama :
Global geometry of q-Painleve equations,
Differential Geometry and Integrable Systems --Celebrating Professor Yoshihiro Ohnita's retirement, Osaka, Japan, Mar. 2023.
8. Yousuke Ohyama :
Global analysis on the Painleve equations,
Painleve Equations: From Classical to Modern Analysis, Strasbourg, France, Oct. 2022.
9. Yousuke Ohyama :
Connection problems on Painlevé equations,
Exact WKB Analysis, Microlocal Analysis, Painlevé Equations and Related Topics, Kyoto, Oct. 2021.
10. Yousuke Ohyama :
q-Stokes phenomenon of basic hypergeometric equations and the Painleve equations,
Analytic theory of differential and difference equations dedicated to the memory of Andrey Bolibrukh, Moscow, Jan. 2021.
11. Yousuke Ohyama :
q-Stokes phenomenon of basic hypergeometric equations,
Differential Galois theory in Strasbourg, Strasbourg, France, Sep. 2019.
12. Yousuke Ohyama :
Connection Problem and q-Stokes phenomenon of basic hypergeometric series,
Formal and analytic solutions of functional equations on the complex domain, Dec. 2018.
13. Yousuke Ohyama :
q-Stokes phenomenon on basic hypergeometric series,
The 13th Symmetries and Integrability of Difference Equations, Nov. 2018.
14. Yousuke Ohyama :
From Heine to Painleve: Connection problems of q-dierence equations,
Toulouse University, Toulouse , France, Feb. 2018.
15. Yousuke Ohyama :
Connection problems of q-difference equations of hypergeometric type and the Painleve type,
Lille University, Lille, France, Sep. 2017.
16. Yousuke Ohyama :
Connection problems of q-difference equations --Hypergeometric type and Painleve type--,
Strassbourg University, Strassbourg, France, May 2017.
17. Yousuke Ohyama :
q-Stokes phenomenon of basic hypergeometric series,
IRMAR Analtytic geometry seminar, Rennes, France, Dec. 2016.
18. Yousuke Ohyama :
Some q-Painleve equations and connection problems,
Symmetries and Integrability of Difference Equations, Sainte-Adele, Quebec, Canada, Jul. 2016.
19. Yousuke Ohyama :
q-Painleve equations and q-Stokes phenomenon of linear q-difference equations,
Exponential Asymptotics of Difference and Differential Equations, Jun. 2016.
20. Yousuke Ohyama :
Meromorphic solutions to the q-Painlevé equations around the origin,
Journal of Physics: Conference Series, 597, 012063-(p.10), Apr. 2015.
(DOI: 10.1088/1742-6596/597/1/012063)

Proceeding of Domestic Conference:

1. Yousuke Ohyama :
ロピタルの定理を巡って,
第16回数学月間企画講演会, Oct. 2025.
2. Yousuke Ohyama :
Connection problems on q-Lommel functions,
日本数学会 2025年度秋季総合分科会, Sep. 2025.
3. Yousuke Ohyama :
パンルヴェ方程式の代数解析,
2025 日本数学会年会・企画特別講演, Mar. 2025.
4. Yousuke Ohyama :
On the q-Lommel functions,
2025アクセサリー・パラメーター研究会, Mar. 2025.
5. Yousuke Ohyama :
Mano's decomposition and q-Painleve equations,
2024 日本数学会年会・無限可積分系セッション, Mar. 2024.
6. Yousuke Ohyama :
q-Painleve 方程式のモノドロミ空間,
令和5年度 日本数学会 中国・四国支部例会, Jan. 2024.
7. Yousuke Ohyama :
q-Painleve 方程式の大域理論と特殊解,
2023 日本数学会秋季総合分科会無限可積分系セッション, Sep. 2023.
8. Yousuke Ohyama :
Global theory of q-Painleve equations,
Kobe Web-seminar on Painleve Equations and related topics, Apr. 2023.
9. Yousuke Ohyama :
Boundary behavior of q-Painlev e equation of type A_1^4,
2023 日本数学会年会・無限可積分系セッション, Mar. 2023.
10. Yousuke Ohyama :
A q-analogue of the EulerPoissonDarboux equation,
2022 日本数学会秋季総合分科会無限可積分系セッション, Sep. 2022.
11. Yousuke Ohyama :
On the q-Euler-Poisson-Darboux equation,
2022年度函数方程式論サマーセミナー, Aug. 2022.
12. Yousuke Ohyama :
楕円函数と Painleve 性について,
第31回数学史シンポジウム, Oct. 2021.
13. Yousuke Ohyama :
q-connection problems on hypergeometric and Painleve equations,
Kobe Seminar on Integrable Systems, Feb. 2021.
14. Yousuke Ohyama :
Asymptotic Analysis of the third q-Painleve equation,
2020年度秋季総合分科会, Sep. 2020.
15. Yousuke Ohyama :
The space of connection data of q-linear equations and q-Painleve equations,
Kobe Seminar on Integrable Systems, Jul. 2020.
16. Yousuke Ohyama :
Connection formula of basic hypergeometric equations with one regular singular point,
超幾何方程式研究会 2020, Jan. 2020.
17. Yousuke Ohyama :
q-Stokes problems on basic hypergeometric equations,
日本数学会秋季総合分科会, Sep. 2019.
18. Yousuke Ohyama :
高階超幾何方程式の q-Stokes 現象,
2019年函数方程式論サマーセミナー, Aug. 2019.
19. Yousuke Ohyama :
q- q-Stokes,
第3回古典解析・徳島研究会, Aug. 2019.
20. Yousuke Ohyama :
Irregular singular points of q-difference equations,
Conference on hypergeometric equations 2019, Jan. 2019.
21. Yousuke Ohyama :
q-Stokes coefficents of difference equations on 3φ2(a_1,a_2,a_3;0,0;q,x),
日本数学会年会, Sep. 2018.
22. Yousuke Ohyama :
q-divergence series and resummation,
第25回沼津改め静岡研究会, Mar. 2018.

Et cetera, Workshop:

1. Yousuke Ohyama :
Connection and Stokes problems on q-linear equations related to Painleve equations,
International Workshop on SIT: Differential equations seminar, Jan. 2026.
2. Yousuke Ohyama :
Relation between boundary problems and connection problems of the Painleve equations,
Seminaire Analyse, IRMA Strasbourg, Oct. 2025.
3. Yousuke Ohyama :
q-超幾何函数 ${}_3hi_2 (a 1 ; a 2 ; a 3 ; b 1 ; 0; q; x) の満たす差分方程式の q-Stokes 係数,
日本数学会春季分科会, Mar. 2018.
4. Yousuke Ohyama :
q-超幾何函数 ${}_1hi_{r-1} (0; b; q; x) の接続問題,
日本数学会春季分科会, Mar. 2018.
5. Yousuke Ohyama :
q-超幾何級数の総和法,
第2回古典解析・徳島研究会 ∼パンルヴェ首相百年記念∼, Jan. 2018.
6. Yousuke Ohyama :
The Stokes problem on q-hypergeometric equations,
超幾何方程式研究会 2018, Jan. 2018.
7. Yousuke Ohyama :
Connection problems on q-hypergeometric equations of higer order,
Workshop on Accessory Parameters, Oct. 2017.
8. Yousuke Ohyama :
$q$-超幾何級数${}_1hi_1 ( a; 0; q, x)$の$q$-Stokes現象,
日本数学会春季分科会, Mar. 2017.
9. Yousuke Ohyama :
$q$-超幾何級数${}_1hi_1 ( 0; a;q, x)$の$q$-Stokes現象,
日本数学会春季分科会, Mar. 2017.
10. Yousuke Ohyama :
q-Bessel函数のStokes現象について,
アクセサリー・パラメーター研究会, Mar. 2017.
11. Yousuke Ohyama :
q-Bessel 函数について,
超幾何方程式研究会 2017, Jan. 2017.
12. Yousuke Ohyama :
A q-analogue of the Stokes phenomenon,
2016 函数方程式論サマーセミナー, Aug. 2016.

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)

  • Algebraic analysis on the Painleve equations (Project/Area Number: 25K07050 )
  • Special solutions to discrete integrable systems and transcendental numbers (Project/Area Number: 22K18676 )
  • The Stokes phenomenon on linear or nonlinear, differential and differential equations (Project/Area Number: 19K03566 )
  • Global connection problems on the Painleve transcendental functions (Project/Area Number: 16K05176 )
  • Nonlinear Stokes problems of the Painleve equation (Project/Area Number: 25400113 )
  • Special solutions and linear monodromy for Painleve equation and Garnier system (Project/Area Number: 22540237 )
  • Asymptotic analysis on the Painleve equations and monodromy problems (Project/Area Number: 21540217 )
  • Generalized quantum groups, including super and elliptic ones, and Weyl groupoids (Project/Area Number: 19540027 )
  • Geometry of twistor spaces (Project/Area Number: 18340017 )
  • Holonomic deformation and nonlinear integrable systems (Project/Area Number: 18204012 )
  • The Painleve functions with solvable monodromy (Project/Area Number: 16540191 )
  • Representation theory of vertex operator algobras and contormal tield theory (Project/Area Number: 14540025 )
  • Physical Combinatorics (Project/Area Number: 13304010 )
  • Non-Abelian gauge fields end Painleve functions (Project/Area Number: 12640174 )
  • Hyper Kahler manifolds (Project/Area Number: 11640076 )
  • Geometry of space of Riemannian manifolds (Project/Area Number: 11640075 )
  • 保型形式のみたす微分方程式 (Project/Area Number: 09740103 )
  • Completely integrable systema and representation theory of infinite dimen-sional algebras (Project/Area Number: 09440014 )
  • 流体を記述する非線型偏微分方程式系の数学解析 (Project/Area Number: 08640197 )
  • Experimental Method of Mathematics (Project/Area Number: 08404008 )
  • 再生核の漸近解析 (Project/Area Number: 07640207 )
  • オンサーガ-代数の表現論の研究 (Project/Area Number: 07640040 )
  • シュレ-ディンガー作用素のスペクトル理論 (Project/Area Number: 06640235 )
  • 保型形式のみたす可積分系 (Project/Area Number: 05230042 )
  • Search by Researcher Number (10221839)