Organization
Cooperative Faculty of Education Schoolteacher Training Course / Natural Sciences (Mathematics Education) Assistant Professor
Title
Assistant Professor
ADACHI Shunya
Degree
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博士(理学) ( 2023.3 熊本大学 )
Research Interests
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Fuchsian differential equations
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Hypergeometric function
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Basic hypergeometric function
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Borel summability
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q-Borel summability
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Connection problem
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Hypergeometric differential equation
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Accessory parameter
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Asymptotic analysis
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Painleve equation
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Completely integrable system
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Differential Equations
Research Areas
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Natural Science / Basic analysis / q-difference-differential equations
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Natural Science / Basic analysis / q-difference equations
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Natural Science / Basic analysis / Differential equations in the complex domain
Education
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Kumamoto University Graduate School of Science and Technology 理学専攻
2020.4 - 2023.3
Country： Japan
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Aichi University of Education Graduate School of Education 数学教育専攻
2017.4 - 2019.3
Country： Japan
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Aichi University of Education Faculty of Education 中等教育教員養成課程 数学専攻
2013.4 - 2017.3
Country： Japan
Research History
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Utsunomiya University Cooperative Faculty of Education Assistant Professor
2024.4 - Present
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Chiba University Graduate School of Science Special researcher of the Japan Society for the Promotion of Science
2023.4 - 2024.3
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Kumamoto University Graduate School of Science and Technology Special researcher of the Japan Society for the Promotion of Science
2022.4 - 2023.3
Country：Japan
Professional Memberships
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日本数学会
Qualification acquired
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High School Teacher Specialization License
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Elementary School Teacher Specialization License
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Junior High School Teacher Specialization License
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First Kind of Elementary School Teacher License
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First Kind of Junior High School Teacher License
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First Kind of High School Teacher License
Papers
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Monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities Reviewed
Shunya Adachi
Opuscula Mathematica 42 ( 3 ) 361 - 391 2022.4
-
On a Connection Problem for the Generalized Hypergeometric Equation Reviewed
Shunya Adachi
Formal and Analytic Solutions of Differential Equations 263 - 284 2022.3
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On k-summability of formal solutions to the Cauchy problems for some linear q-difference-differential equations Reviewed
Complex Differential and Difference Equations 447 - 462 2019.11
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The q-Borel Sum of Divergent Basic Hypergeometric Series rφs(a;b;q,x) Reviewed
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 15 ( 16 ) 2019.3
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Euler type integral representations of the local solutions to hypergeometric equation
Shunya Adachi
Epsilon 58 77 - 87 2016.12
MISC
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2階Fuchs型微分方程式のモノドロミー不変エルミート形式について
Hokkaido University technical report series in Mathematics 182 459 - 467 2022.3
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一般化超幾何微分方程式の接続問題について
Hokkaido University technical report series in Mathematics 180 407 - 414 2021.3
Presentations
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不確定特異性を持つ線形 Pfaff 系に対する Fourier-Laplace 変換
2024.3
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不確定特異性を持つ線形 Pfaff 系に対する Fourier-Laplace 変換 Invited
Recent topics in algebraic analysis 2024.3
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多変数完全積分可能系に対する積分変換 Invited
安達 駿弥
神戸可積分系セミナー 2024.1
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On the Laplace transform for KZ type equations
Shunya Adachi
Analysis Seminar in Chiba 2023.12
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On the Laplace transform for KZ type equations Invited
Shunya Adachi
Various problems in microlocal analysis and asymptotic analysis 2023.11
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Laplace transform for KZ type equations in two variables Invited
Shunya Adachi
Polish-Japanese workshop on differential equations in the complex domain 2023.9
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Unitary monodromies of second order linear ordinary differential equations
Shunya ADACHI
Complex Differential and Difference Equations II 2023.8
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2変数 KZ 型方程式と Laplace 変換
安達 駿弥
2023年度函数方程式論サマーセミナー 2023.8
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Unitary monodromies of Fuchsian differential equations Invited
Shunya Adachi
Workshop on Accessory Parameters 2023.3
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2階Fuchs型微分方程式のモノドロミー不変Hermite形式
安達 駿弥
日本数学会 2022年度秋季総合分科会 2022.9
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2階Fuchs型常微分方程式のモノドロミーのユニタリ性
Shunya Adachi
2022.8
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4つの特異点を持つ2階Fuchs型微分方程式のモノドロミー不変Hermite形式について
安達 駿弥
日本数学会 2022年度年会 2022.3
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Garnier系のモノドロミー多様体と不変Hermite形式
2022.3
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On monodromy invariant Hermitian forms for second order Fuchsian differential equaitons
Shunya Adachi
2022.3
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4つの特異点を持つ2階Fuchs型微分方程式のモノドロミー不変Hermite形式について
Shunya Adachi
2022.1
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Invariant Hermitian form of monodromy of spectral type (111,111,111).
Shunya Adachi
FASnet21 (Formal and Analytic Solutions of Diff. (differential, partial differential, difference, q-difference, q-difference-differential,…) Equations on the Internet), 2021.6
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On a Connection Problem for the Generalized Hypergeometric Equation
Shunya ADACHI
2021.3
-
On a connection problem for the generalized hypergeometric equation
Shunya Adachi
FASnet20 (Formal and Analytic Solutions of Diff. (differential, partial differential, difference, q-difference, q-difference-differential,…) Equations on the Internet) 2020.6
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About Reiwa!? Story of some power series Invited
Shunya Adachi
2019.11
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Connection problem of a linear q-difference equation satisfied by divergent basic hypergeometric series 4φ1(a1,a2,a3,a4;b;q,x) Invited
Shunya Adachi
Various Problems of Algebraic Analysis — Microlocal Analysis and Asymptotic Analysis — 2018.10
Research Projects
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A study of solutions of the Painleve equation derived from monodromy invariant Hermitian forms.
Grant number：22J12306 2022.4 - 2024.3
Grants-in-Aid for Scientific Research (KAKENHI)
Grant amount：\1700000 （ Direct Cost: \1700000 ）
Class
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微分積分学IIおよび演習
2023
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微積分学B2
2023