Basic Information

Email Address

• Email Address

  ohkawa.ryo.6skyoto-u.ac.jp

Research History

• From Sep. 2024, To Present

  Kyoto University, Research Institute for Mathematical Sciences, 硏究員
• From Jun. 2022, To Mar. 2024

  Kyoto University, Research Institute for Mathematical Sciences, Researcher
• From Apr. 2022, To Mar. 2024

  大阪公立大学, 数学研究所, 特別研究員
• From Oct. 2020, To Mar. 2022

  Kobe University, Graduate School of Science
• From Apr. 2020, To Sep. 2020

  Toin University of Yokohama
• From Apr. 2018, To Mar. 2020

  Waseda University, Faculty of Science and Engineering, 講師（任期付）
• From Apr. 2017, To Mar. 2018

  Waseda University, Faculty of Science and Engineering, 助教
• From Apr. 2016, To Mar. 2017

  Kyoto University, Research Institute for Mathematical Sciences, 研究員
• From Apr. 2013, To Mar. 2016

  Kyoto University, Research Institute for Mathematical Sciences, 日本学術振興会特別研究員（ＰＤ）
• From Apr. 2012, To Mar. 2013

  Kyoto University, Research Institute for Mathematical Sciences, ＧＣＯＥ特定研究員
• From Mar. 2012, To May 2012

  Institut des Hautes Études Scientifiques, visitor
• From Apr. 2011, To Mar. 2012

  Max Planck Institute for Mathematics, visitor
• From Mar. 2011, To Apr. 2011

  Institut des Hautes Études Scientifiques, visitor
• From Oct. 2010, To Mar. 2011

  Kyoto University, Research Institute for Mathematical Sciences, 研究員（科学研究）
• From Jul. 2010, To Mar. 2011

  Tokyo Institute of Technology, Graduate School of Science and Engineering, 流動研究員
• From Aug. 2010, To Sep. 2010

  Max Planck Institute for Mathematics, visitor

Profile

• Profile

  代数幾何学、特に代数曲面上の半安定層のモジュライ空間と連接層の導来圏との関連に興味を持っています。また最近ではモジュライ空間上の積分から定まるNekrasov分配関数やAffine Laumon分配関数と表現論との関係に興味を持っています。

ID,URL

• J-Global ID

  201201006239571095

researchmap URL

• https://researchmap.jp/ohkawaryo

Research

Research Interests

• 特殊函数
• 可積分系

Research Areas

• Natural sciences, Algebra, algebraic geometry

Papers

• K-theoretic wall-crossing formulas and multiple basic hypergeometric series

  R. Ohkawa; J. Shiraishi

  Journal of Algebra, Sep. 2025, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Residue formula for flag manifold of type A from wall-crossing

  Ryo Ohkawa

  Journal of Algebraic Combinatorics, 24 Dec. 2024, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Tetrahedron equation and Schur functions

  Shinsuke Iwao; Kohei Motegi; Ryo Ohkawa

  Journal of Physics A: Mathematical and Theoretical, 03 Dec. 2024, Peer-reviewed

  
• Non-stationary difference equation and affine Laumon space II: Quantum Knizhnik-Zamolodchikov equation

  Hidetoshi Awata; Koji Hasegawa; Hiroaki Kanno; Ryo Ohkawa; Shamil Shakirov; Jun'ichi Shiraishi; Yasuhiko Yamada

  SIGMA, Aug. 2024, Peer-reviewed

  
• Algebraic formulas and geometric derivation of source identities

  Kohei Motegi; Ryo Ohkawa

  Journal of Physics A: Mathematical and Theoretical, 24 Jul. 2024, Peer-reviewed

  
• Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation

  Hidetoshi Awata; Koji Hasegawa; Hiroaki Kanno; Ryo Ohkawa; Shamil Shakirov; Jun'ichi Shiraishi; Yasuhiko Yamada

  SIGMA, 09 Nov. 2023, Peer-reviewed

  
• Wall-crossing for vortex partition function and handsaw quiver variety

  Ryo Ohkawa; Yutaka Yoshida

  Journal of Geometry and Physics, Sep. 2023, Peer-reviewed, Lead author, Last author, Corresponding author

  
• The FFRT property of two-dimensional normal graded rings and orbifold curves

  Nobuo Hara; Ryo Ohkawa

  Advances in Mathematics, Aug. 2020, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Functional Equations of Nekrasov Functions Proposed by Ito, Maruyoshi, and Okuda

  Ryo Ohkawa

  Moscow Mathematical Journal, 14 May 2020, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Wall-crossing between stable and co-stable ADHM data

  Ryo Ohkawa

  Letters in Mathematical Physics, 16 Mar. 2018, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Flips of moduli of stable torsion free sheaves with $c_1=1$ on $P^2$

  Ryo Ohkawa

  Bulletin de la Société mathématique de France, 2014, Peer-reviewed, Lead author, Last author, Corresponding author

  
• 

  Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks

  Ryo Ohkawa; Hokuto Uehara

  Advances in Mathematics, 10 Sep. 2013, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Moduli of Bridgeland semistable objects on P2

  Ryo Ohkawa

  Kodai Mathematical Journal, 01 Jun. 2010, Peer-reviewed, Lead author, Last author, Corresponding author

  

Misc.

• 旗多様体上の同変積分とGrothendieck polynomial

  大川 領

  数理解析研究所講究録 2258 組合せ論的表現論における最近の展開, Jun. 2023, Invited, Lead author, Last author, Corresponding author

  
• Wall-crossing formula for framed quiver moduli

  Ryo Ohkawa

  ArXiv, May 2023, Lead author, Last author, Corresponding author

  
• 

  望月拓郎氏の壁越え公式による積分計算の紹介

  Ryo Ohkawa

  ALTReT 2021報告集, Nov. 2021, Invited, Lead author, Last author, Corresponding author

  
• (-2) blow-up formula

  大川 領

  数理解析研究所講究録 2161 表現論とその組み合わせ論的側面, Jun. 2020, Invited, Lead author, Last author, Corresponding author

  
• 

  Frobenius push-forwards on weighted projective lines

  大川 領

  第11回代数曲線論シンポジウム, 2014, Invited, Lead author, Last author, Corresponding author

  
• 

  Generators on toric stacks

  大川 領

  都の西北 代数幾何学シンポジウム, 2011, Invited, Lead author, Last author, Corresponding author

  
• 

  4次元射影空間内の有理曲面について

  大川 領

  射影多様体の幾何とその周辺 ２００６, 2007, Invited, Lead author, Last author, Corresponding author

  

Presentations

• Residue formula for flag bundles from wall-crossing

  大川 領

  日本数学会年会, 18 Mar. 2025, Invited

  
• Wall-crossing formula and push-foraward formula of Grassmann bundles

  大川 領

  微分方程式の総合的研究, 22 Dec. 2024, Invited

  
• $K$-theoretic wall-crossing formulas and multiple basic hypergeometric series

  Ryo Ohkawa

  Representation Theory, Integrable Systems and Related Topics, 11 Jul. 2024, Anton Dzhamay, Anatol Kirillov, Andrii Liashyk, Ievgen Makedonskyi, Pavel Nikitin, Sergey Oblezin, Nikolai Reshetikhin, Takashi Takebe, Bart Vlaar, Invited

  
• Non-stationary difference equation and Affine Laumon space

  大川 領

  日本数学会特別講演, 15 Mar. 2024, Invited

  
• K-theoretic wall-crossing formulas and multiple basic hypergeometric series

  大川 領

  アクセサリー・パラメーター研究会, 08 Mar. 2024, Invited

  
• 枠付き箙表現のモジュライに関する壁越え公式

  大川 領

  東北大学談話会, 15 Jan. 2024

  
• K -theoretic wall-crossing and transformation formula for multiple hypergeometric series

  大川 領

  超幾何方程式研究会2024, 06 Jan. 2024, Invited

  
• 枠付き箙表現のモジュライに関する壁越え公式

  大川 領

  数理物理セミナー, 21 Dec. 2023, Invited

  
• 枠付き箙表現のモジュライに関する壁超え公式

  大川 領

  城崎代数幾何学シンポジウム, 27 Oct. 2023, Invited

  
• Non-stationary difference equation and affine Laumon space

  Ryo Ohkawa

  Web-seminar on Painlevé equations and related topics, 11 Oct. 2023, Invited

  
• Non-stationary difference equation, affine Laumon space and quantization of discrete Painlevé equation 2

  Ryo Ohkawa

  日本数学会, 20 Sep. 2023

  
• Non-stationary difference equation, affine Laumon space and quantization of discrete Painlevé equation 1

  Ryo Ohkawa

  日本数学会, 20 Sep. 2023

  
• Wall-crossing formula for framed quiver moduli

  大川 領

  近畿大学談話会, 08 Jun. 2023, Invited

  
• Wall-crossing formula for framed quiver moduli

  大川 領

  ALT ReT 2023, 15 May 2023, Invited

  
• Wall-crossing formula for framed quiver moduli

  大川 領

  早稲田大学整数論セミナー, 28 Apr. 2023, Invited

  
• Wall-crossing formula for framed quiver moduli

  大川 領

  多弦数理セミナー, 24 Mar. 2023, Invited

  
• Wall-crossing formula for framed quiver moduli

  大川 領

  The 3rd Shot of The 13th MSJ-SI "Differential Geometry and Integrable Systems", 11 Mar. 2023, Invited

  
• Residue formula for flag manifold of type $A$ from wall-crossing

  第四回宇都宮大学代数幾何研究集会, 28 Feb. 2023, 奥村 克彦, 水野 雄貴, 鈴木 拓, Invited

  
• Wall-crossing for vortex partition function and handsaw quiver varierty

  大川 領

  Workshop on Mirror symmetry and Related Topics, Kyoto 2022, 16 Dec. 2022, Invited

  
• Wall-crossing for vortex partition function and handsaw quiver varierty

  大川 領

  Representation Theory Seminar, 15 Dec. 2022, Invited

  
• Residue formula for flag manifold of type $A$ from wall-crossing

  大川 領

  特異点セミナー, 28 Nov. 2022, Invited

  
• Residue formula for flag manifold of type $A$ from wall-crossing

  大川 領

  東北大学代数セミナー, 14 Oct. 2022, Invited

  
• Wall-crossing for vortex partition function and handsaw quiver variety

  大川 領

  第三回宇都宮大学代数幾何研究集会, 11 Mar. 2022, 奥村克彦, 鈴木拓, Invited

  
• Wall-crossing for vortex partition function and handsaw quiver varierty

  Ryo Ohkawa

  ALTReT 2021, 26 Jun. 2021, 柳田伸太郎 (名古屋大学)、名古屋創 (金沢大学)、Liron Speyer (沖縄科学技術大学), Invited

  
• Residue formula for integrations over Grassmann manifolds

  大川 領

  日本数学会2021年会, 17 Mar. 2021, Invited

  
• Wall-crossing for vortex partition function and handsaw quiver varierty

  大川 領

  日本数学会2021年会, 17 Mar. 2021, Invited

  
• (-2) blow-up formula

  大川 領

  Indo-Japan Web-Workshop on Vector Bundles and Related Topics, 23 Feb. 2021, Masa-hiko Saito, Takuro Mochizuki, A. J. Parameswaran, Indranil Biswas, Invited

  
• (-2) blow-up formula

  大川 領

  東京名古屋代数セミナー, 14 Jan. 2021, Invited

  
• (-2) blow-up formula

  大川 領

  神戸大学数学教室談話会, 10 Nov. 2020, Invited

  
• (-2) blow-up formula

  大川 領

  小山高専数学談話会, 01 May 2020, 岡田 崇, Invited

  
• (-2) blow-up formula

  大川 領

  q, q & q, 19 Feb. 2020, 伊藤雅彦, 鈴木貴雄, 山田泰彦, Invited

  
• (-2) blow-up formula

  大川 領

  東京無限可積分系セミナー, 17 Dec. 2019, 神保道夫、国場敦夫、山田裕二、武部尚志、高木太一郎、白石潤一, Invited

  
• (-2) blow-up formula

  表現論とその組み合わせ論的側面, 29 Oct. 2019, 石川 雅雄, Invited

  
• The FFRT property of two-dimensional normal graded rings and orbifold curves

  大川 領

  特異点セミナー, 30 Sep. 2019, Invited

  
• (-2) blow-up formula

  大川領

  日本数学会, 18 Sep. 2019

  
• The FFRT property of two-dimensional normal graded rings and orbifold curves

  Ryo Ohkawa

  日本数学会, 20 Mar. 2019, 東京工業大学

  
• 

  Functional equations of Nekrasov functions proposed by Ito-Maruyoshi-Okuda

  大川領

  Toric geometry, degenerations and related topics, 13 Feb. 2019

  
• The FFRT property of two-dimensional normal graded rings and orbifold curves

  Ryo Ohkawa

  第24回代数学若手研究会, Feb. 2019, Invited

  
• (-2) blow-up formula

  大川 領

  東京電機大学数学講演会, 22 Jan. 2019, Invited

  
• Nekrasov functions and Painlvé tau functions

  Ryo Ohkawa

  第一回宇都宮大学代数幾何研究集会, 22 Aug. 2018, 鈴木拓, 楫元, 石川大蔵, Invited

  
• The FFRT property of two-dimensional normal graded rings and orbifold curves

  大川領

  射影多様体の幾何とその周辺2017, 04 Nov. 2017, 福間 慶明, 小島 秀雄, 春井 岳, Invited

  
• The FFRT property of two-dimensional normal graded rings and orbifold curves

  Ryo Ohkawa

  代数幾何学セミナー, Oct. 2017, Invited

  
• Functional equations of Nekrasov functions proposed by Ito-Maruyoshi-Okuda

  Ryo Ohkawa

  日本数学会2017年度年会, 11 Sep. 2017

  
• Functional equations of Nekrasov functions proposed by Ito-Maruyoshi-Okuda

  Ryo Ohkawa

  代数幾何学サマースクール２０１７, Aug. 2017, Invited

  
• 

  Instanton counting on the minimal resolution of the A1-singularity

  Ryo Ohkawa

  Algebraic Lie Theory and Representation Theory 2017. 帝人アカデミー富士.2017年6月, 11 Jun. 2017, 内藤 聡, 池田 岳, 佐垣 大輔

  
• Wall-crossing between stable and co-stable ADHM data

  Ryo Ohkawa

  第1回 半田山・幾何・代数セミナー, 08 Dec. 2016

  
• Instanton counting on the minimal resolution of the $A_1$-singularity

  Ryo Ohkawa

  都の西北代数幾何学シンポジウム, 18 Nov. 2016, Invited

  
• Wall-crossing between stable and co-stable ADHM data

  大川 領

  駒場素粒子論セミナー, 05 Oct. 2016, Invited

  
• Wall-crossing between stable and co-stable ADHM data

  Ryo Ohkawa

  第49回環論および表現論シンポジューム（２０１６年）, 02 Sep. 2016, 浅芝 秀人, 伊山 修, 加藤希理子, 西中 恒和, Invited

  
• Instanton Counting on the Minimal Resolution of the A_1 Singularity

  Ryo Ohkawa

  29 Aug. 2016, Invited

  
• Wall-Crossing between Stable and Co-Stable ADHM Data

  Ryo Ohkawa

  29 Aug. 2016, Invited

  
• An introduction to Nekrasov Partition Functions

  Ryo Ohkawa

  26 Aug. 2016

  
• Wall-crossing between stable and co-stable ADHM data

  大川領

  京都大学微分トポロジーセミナー, 17 May 2016, 入谷 寛, Invited

  
• Wall-crossing between stable and co-stable ADHM data

  Ryo Ohkawa

  第２１回代数学若手研究会, 28 Mar. 2016, Invited

  
• 

  Moduli of Framed sheaves on the minimal resolution of the A_1 singularity

  Ryo Ohkawa

  野田代数幾何学シンポジウム２０１６, 15 Mar. 2016, Invited

  
• Wall-crossing between stable and co-stable ADHM data

  Ryo Ohkawa

  日本数学会２０１６年度年会, 14 Sep. 2015

  
• 

  Wall-crossing between stable and co-stable ADHM data

  Ryo Ohkawa

  農工大数学セミナー, 23 Jun. 2015, Invited

  
• Moduli of framed sheaves on the minimal resolution of the $A_1$ singularity

  Ryo Ohkawa

  Geometry Seminar. 香港大学. 2014年12月. ``Moduli of framed sheaves on the minimal resolution of the $A_1$ singularity, 08 Dec. 2014, Invited

  
• Perverse coherent sheaves on A1-ALE space

  大川領

  都の西北 代数幾何学セミナー, 21 Nov. 2014, Invited

  
• 

  Flips of moduli of stable torsion free sheaves with $c_1=1$ on $\mathbb{P}^{2}$

  大川領

  Bridgeland stability and Birational geometries, 19 Jun. 2014, Invited

  
• Flips of moduli of stable torsion free sheaves with $c_{1}=1$ on $\mathbb{P}^{2}$

  大川領

  代数幾何学セミナー, 06 Jan. 2014, Invited

  
• 

  Frobenius push-forwards on weighted projective line

  大川領

  第11回代数曲線論シンポジウム, 22 Dec. 2013, 今 野 一宏, 米田 二良, 大渕 期, Invited

  
• Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks

  Ryo Ohkawa

  The Geometry of Topological D-branes, Categories and Applications, May 2013, Invited

  
• Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks

  大川領

  日本数学会2013年度年会, 20 Mar. 2013, 森 重文, Invited

  
• Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks

  大川領

  第11回アフィン代数幾何学研究集会, 04 Mar. 2013, 小島 秀雄

  
• Frobenius morphisms and derived categories on two dimensional toric Deligne--Mumford stacks

  大川領

  Postech algebraic geometry seminar, 09 Nov. 2012, Invited

  
• Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks

  大川領

  射影多様体の幾何とその周辺２０１２, 06 Oct. 2012, 福間 慶明、小島 秀雄、松田 修, Invited

  
• Frobenius morphisms and derived categories on two dimensional toric Deligne--Mumford stacks

  大川領

  Jul. 2012, Invited

  
• Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks

  Ryo Ohkawa

  S\'{e}minaire de Math\'{e}matique, May 2012, Invited

  
• Frobenius morphisms and derived categories on two dimensional toric Deligne--Mumford stacks

  Ryo Ohkawa

  Analyse, g\'{e}om\'{e}trie et dynamiques complexes, Feb. 2012

  
• Topological aspects of $C^{\infty}$-rings

  Ryo Ohkawa

  Derived Differential Geometry Seminar, Jul. 2011, Invited

  
• Frobenius morphisms and derived categories on two-dimensional toric stacks

  Ryo Ohkawa

  MPI-Oberseminar, 16 Jun. 2011, Invited

  
• Survey on stability conditions of local $\mathbb{P}^2$

  Ryo Ohkawa

  Mini-workshop on derived categories in Nagoya, Jan. 2011, 長尾 健太郎, Invited

  
• Generators by Frobenius push-forward on toric surfaces

  大川領

  Dec. 2010, Invited

  
• 

  Generators on toric stacks

  大川領

  都の西北代数幾何学シンポジウム, 11 Nov. 2010, 楫 元, Invited

  
• Flips of moduli of stable torsion free sheaves on $\mathbb{P}^2$ with $c_1=1$

  Ryo Ohkawa

  Geometry and Algebra of Orbifolds and the McKay Correspondence, 13 Aug. 2010, Timothy Logvinenko and Miles Reid, Invited

  
• Flips of moduli of stable torsion free sheaves with $c_1=1$ on $\mathbb{P}^2$

  大川領

  代数幾何セミナー, Jul. 2010, Invited

  
• Moduli of Bridgeland semistable objects on the projective plane and its wall-crossing

  大川領

  Group Seminar, May 2010, Invited

  
• 射影平面上の Bridgeland 半安定な対象のなすモジュライ空間とその壁越え

  大川領

  東京幾何セミナー, Apr. 2010

  
• Flips of moduli of semistable sheaves on the projective plane

  大川領

  第七回代数曲線論シンポジウム, Dec. 2009, 米田 二良、野間 淳、大渕 朗, Invited

  
• 

  Flips of moduli of semistable sheaves on the projective plane

  大川領

  射影多様体の幾何とその周辺2009, 23 Nov. 2009, 福間 慶明, 小島 秀雄, Invited

  
• Derived autoequivalences after Rosay

  大川領

  Workshop on Derived Algebraic Geometry I - around DG categories -, Nov. 2009, Invited

  
• Moduli of Bridgeland semistable objects on the projective plane

  大川領

  Category Theory , Computer Science and Topology, 18 Oct. 2009, Invited

  
• Moduli on the projective plane and the wall-crossing

  大川領

  代数幾何学セミナー, Jun. 2009, Invited

  
• Moduli on the projective plane and the wall-crossing

  大川領

  代数幾何セミナー, May 2009, Invited

  
• Moduli of Bridgeland semistable objects on the projective plane

  Ryo Ohkawa

  Math.-String seminar, Jan. 2009, Invited

  
• Moduli of Bridgeland semistable objects on the projective plane

  大川領

  Dec. 2008, Invited

  
• 

  Moduli of Bridgeland semistable objects on the projective plane

  Ryo Ohkawa

  代数幾何学城崎シンポジウム, 21 Oct. 2008, Invited

  
• Moduli of Bridgeland stable objects on the projective plane

  Ryo Ohkawa

  Group Seminar, Jun. 2008

  
• 射影平面上の安定性条件について

  大川領

  埼玉大学代数幾何講演会, Mar. 2008, Invited

  
• 4次元射影空間内の有理曲面について

  大川領

  代数幾何ミニワークショップ・仙台2007, Jan. 2007, 原 伸生, Invited

  
• 

  4次元射影空間内の有理曲面について

  大川領

  射影多様体の幾何とその周辺2006, 04 Nov. 2006, 福間 慶明, 小島 秀雄, Invited

  

External funds: Kakenhi

• 代数曲面上の半安定層と導来圏

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  大川 領

  From 01 Apr. 2013, To 31 Mar. 2017, Adopted

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25800016/
• 壁越え公式の精密化と可積分系関数の対称性

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Kyoto University;Osaka Metropolitan University;Kobe University

  大川 領

  From 01 Apr. 2021, To 31 Mar. 2026, Granted

  壁越え公式;K理論;多重超幾何級数;アフィンLaumon分配関数;Grothendieck多項式;枠付き箙;ハンドソー箙多様体;vortex分配関数;枠付き箙表現のモジュライ;ネクラソフ関数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21K03180/