Yuta KUSAKABE / 日下部 佑太
Associate Professor
Faculty of Mathematics,
Kyushu University
744 Motooka, Nishiku, Fukuoka 8190395, Japan
Curriculum Vitae
Email: kusakabe[at]math.kyushuu.ac.jp, kusakape[at]gmail.com
Research interests: Several Complex Variables, Complex Geometry
Keywords: Oka principle, Oka manifold, Stein space, Gromov ellipticity
Photo: Penguins' JôkuIkô / 上空移行
(cf. Oka's JôkuIkô Principle [Oka, 1936])
Papers

Oka tubes in holomorphic line bundles. (with F. Forstnerič)
arXiv:2310.14871

On the fundamental groups of subelliptic varieties.
arXiv:2212.07085

Surjective morphisms onto subelliptic varieties.
arXiv:2212.06412

Oka properties of complements of holomorphically convex sets.
Ann. of Math. (2), 199(2): 899–917, 2024
arXiv:2005.08247

Thom's jet transversality theorem for regular maps.
J. Geom. Anal., 31(6):6031–6041, 2021
arXiv:2004.13539

An implicit function theorem for sprays and applications to Oka theory.
Internat. J. Math., 31(9):2050071, 9, 2020
arXiv:2004.12397

Elliptic characterization and unification of Oka maps.
Math. Z., 298(3–4):1735–1750, 2021
arXiv:2003.03757

Oka complements of countable sets and nonelliptic Oka manifolds.
Proc. Amer. Math. Soc., 148(3):1233–1238, 2020
arXiv:1907.12024

Elliptic characterization and localization of Oka manifolds.
Indiana Univ. Math. J., 70(3):1039–1054, 2021
arXiv:1808.06290

Dense holomorphic curves in spaces of holomorphic maps and applications to universal maps.
Internat. J. Math., 28(4):1750028, 15, 2017
arXiv:1702.08022
Miscellaneous

Gromovの楕円幾何学から岡の原理へ. (Japanese)
現代数学 (連載, 2024年4月号–), 現代数学社, 2024–

岡多様体と楕円性. (Japanese)
日本数学会2021年度年会講演アブストラクト, 2021

Characterizations of Oka manifolds by holomorphic flexibilities. (Japanese)
RIMS Kôkyûroku, 2175:101–107, 2021

岡の原理と楕円性. (Japanese)
第62回函数論シンポジウム講演アブストラクト, 2019

Survey of holomorphic homotopy theory. (Japanese)
代数学特論レポート, 2018
Talks

複素解析学における剛性と柔軟性. (online)
Academic Frontier Lecture Series, 3 & 10 July 2024

TBA
Seminar on Geometric Complex Analysis,
The University of Tokyo, 17 June 2024

Toward Gromov's Oka principle with growth conditions.
Fukuoka Complex Analysis Seminar, Kyushu University, 21 May 2024

Levi問題から岡の原理へ、そして新たなLevi問題へ.
Colloquium, Kyushu University, 16 May 2024

岡領域と双対Levi問題.
The 11th Fukuoka Complex Analysis Symposium, Kyushu University, 16 March 2024

Dynamical methods in Gromov's elliptic geometry.
Workshop on Dynamics in Arithmetic and Complex Geometry and its Applications, Osaka Metropolitan University, 16–19 January 2024

Oka tubes in holomorphic line bundles. (online)
Online Differential Geometry Seminar, Yau Mathematical Sciences Center, Tsinghua University, 19 December 2023

Oka tubes in holomorphic line bundles.
Winter Seminar on Several Complex Variables 2023, University of Tsukuba, 15–17 December 2023

Gromov's elliptic geometry from the viewpoints of foliations and dynamics.
Problems on Foliations and Dynamics in Complex Geometry, RIMS, Kyoto University, 20–22 November 2023

Toward Gromov's Oka principle with growth conditions.
Complex Analysis Seminar, University of Ljubljana, 10 October 2023

Gromov ellipticity in complex analytic geometry and algebraic geometry.
Young Mathematicians Workshop on Several Complex Variables 2023, Pusan National University, 9–12 August 2023

Surjective morphisms onto Gromov elliptic varieties.
Oka Theory and Complex Geometry Conference, Summer 2023, Sophus Lie Conference Center, Nordfjordeid, 19–23 June 2023

Gromov ellipticity in complex analytic geometry and algebraic geometry.
Complex Analysis, Geometry, and Dynamics  Portorož 2023, Hotel Histrion, Portorož, 5–9 June 2023

Surjective morphisms onto subelliptic varieties.
Workshop on Complex Geometry in Osaka 2023, Osaka University, 22–24 March 2023

複素解析幾何と代数幾何における楕円性について.
OCAMI Complex Analysis Seminar, Osaka Metropolitan University, 21 February 2023

Oka theory for algebraic manifolds. (online)
Algebraic Geometry Seminar, Osaka University, 6 June 2022

岡多様体と双対Levi問題.
Colloquium, Kyoto University, 27 April 2022

岡多様体と楕円性. (online)
The 17th Kagoshima AlgebraAnalysisGeometry Seminar, 16–18 February 2022

Oka manifolds and ellipticity. (online)
The 7th KTGU Mathematics Workshop for Young Researchers, Kyoto University, 14–15 February 2022

Elliptic characterization and unification of Oka maps. (online)
Workshop on Geometry of Foliations and its Applications, 10–12 December 2021

Oka theory for algebraic manifolds. (online)
TokyoKyoto Algebraic Geometry Seminar, 30 November 2021

Oka theory for algebraic manifolds. (online)
MiyakonoSeihoku Algebraic Geometry Symposium 2021, Waseda University, 17–20 August 2021

Oka manifolds and the dual Levi problem. (online)
HAYAMA Symposium on Complex Analysis in Several Variables XXII, 22–25 July 2021

複素解析学における剛性と柔軟性. (online)
Galois Festival 2021,
Kyoto University, 15 June 2021

Oka manifolds and the dual Levi problem. (online)
Differential Topology Seminar,
Kyoto University, 25 May 2021

岡多様体と楕円性. (invited by Complex Analysis Section, online)
MSJ Spring Meeting 2021,
Keio University, 15–18 March 2021

The Oka principle and the dual Levi problem. (online)
Grauert Theory and Recent Complex Geometry,
Osaka City University, 6–9 February 2021

岡多様体と楕円性. (online)
Young Mathematicians Online Workshop on Several Complex Variables,
Osaka City University, 25 November–16 December 2020

多項式凸集合の補空間の岡性.
Geometry Seminar,
Osaka University, 9 November 2020

多項式凸集合の補空間の岡性. (online)
MSJ Autumn Meeting 2020,
Kumamoto University, 22–25 September 2020

Oka properties of complements of holomorphically convex sets. (online)
Seminar on Geometric Complex Analysis,
The University of Tokyo, 29 June 2020

Elliptic characterization of the Oka principle. (online)
Virtual Conference on Complex Analysis and Complex Geometry,
Western University's online system OWL, 4 May–14 June 2020

Oka complements of countable sets and nonelliptic Oka manifolds.
Winter Seminar on Several Complex Variables 2019,
Tohoku University, 21–23 December 2019

柏原の定理と $\partial\bar\partial$lemma.
Kodaira's Theory on Complex Manifolds and its Development,
Osaka City University, 8–9 December 2019

Dense entire curves and Oka manifolds.
Rational Points on Higher Dimensional Varieties,
RIMS, Kyoto University, 2–6 December 2019

岡の原理と楕円性.
62nd Symposium on Function Theory,
Daido University, 2–4 November 2019

Elliptic characterization and localization of Oka manifolds.
Tohoku Complex Analysis Seminar,
Tohoku University, 2 October 2019

岡多様体と楕円性.
54th Summer Seminar on Function Theory,
Izu Nagaoka Onsen Otoriso, Shizuoka, 28–30 August 2019

Oka principle and relative ellipticity.
Workshop on Holomorphic Maps, Pluripotentials and Complex Geometry,
Shizuoka Prefecture Gender Equality Center "Azalea", Shizuoka, 26–29 March 2019

岡の原理と楕円性 (1 & 2).
Contact Structures, Singularities, Differential Equations and Related Topics,
Shizuoka Prefecture Gender Equality Center "Azalea", Shizuoka, 28–31 January 2019

Elliptic characterization and localization of Oka manifolds.
The 24th Symposium on Complex Geometry,
Shiinoki Cultural Complex, Ishikawa, 13–16 November 2018

Elliptic characterization and localization of Oka manifolds.
Stein Manifolds and Holomorphic Mappings 2018,
University of Ljubljana, 17–21 September 2018

Elliptic characterization and localization of Oka manifolds.
53rd Summer Seminar on Function Theory,
Active Resorts FUKUOKA YAHATA, Fukuoka, 24–26 August 2018

Holomorphic flexibility properties of mapping spaces.
HAYAMA Symposium on Complex Analysis in Several Variables XX & Pacific Rim ComplexSymplectic Geometry Conference,
Shonan Village Center, Kanagawa, 13–17 July 2018

Holomorphic maps with dense images.
Winter Seminar on Several Complex Variables 2017,
Tokyo University of Science, 22–24 December 2017

Dense holomorphic curves in spaces of holomorphic maps.
Young Mathematicians Workshop on Several Complex Variables and Complex Geometry 2017,
Capital Normal University, 9–11 December 2017

Characterizations of Oka manifolds by entire curves.
Topology of Pseudoconvex Domains and Analysis of Reproducing Kernels,
RIMS, Kyoto University, 20–22 November 2017

Dense holomorphic curves and universal holomorphic maps.
52nd Summer Seminar on Function Theory,
Kanpo no Yado Yanagawa, Fukuoka, 6–8 September 2017

Dense holomorphic curves in spaces of holomorphic maps.
Seminar on Analytic Geometry,
Nagoya University, 1 May 2017

Dense holomorphic curves in spaces of holomorphic maps.
Seminar on Geometric Complex Analysis,
The University of Tokyo, 17 April 2017

Dense holomorphic curves in spaces of holomorphic maps.
Geometry Seminar,
Osaka University, 10 April 2017

Dense holomorphic curves in spaces of holomorphic maps.
Komaba Seminar on Complex Geometry,
The University of Tokyo, 6–8 March 2017

Holomorphic flexibility properties of configuration spaces, symmetric products and Douady spaces.
51st Summer Seminar on Function Theory,
Hotel Sekifu, Yamanashi, 2–4 September 2016
Curriculum Vitae
Yuta Kusakabe
Born on May 22, 1993 in Aichi, Japan.
Married, one son.
Education
 September 2020
 Doctor of Philosophy (Science)
 Graduate School of Science, Osaka University
 Advisor: Katsutoshi Yamanoi
 March 2018
 Master of Science
 Graduate School of Science, Osaka University
 Advisor: Katsutoshi Yamanoi
 March 2016
 Bachelor of Science
 School of Science, Nagoya University
 Advisor: Takeo Ohsawa
Employment / Fellowships
 April 2024–
 Associate Professor
 Faculty of Mathematics, Kyushu University
 December 2020–March 2024
 Assistant Professor
 Department of Mathematics, Graduate School of Science, Kyoto University
 October 2020–November 2020
 JSPS Research Fellow (PD)
 Japan Society for the Promotion of Science
 April 2018–September 2020
 JSPS Research Fellow (DC1)
 Japan Society for the Promotion of Science
 April 2017–March 2018
 Research Assistant
 Graduate School of Science, Osaka University
Membership
 April 2020–
 The Mathematical Society of Japan
Grants
 April 2024–March 2027
 GrantinAid for EarlyCareer Scientists (Grant Number: 24K16919)
 Japan Society for the Promotion of Science
 August 2021–March 2025
 GrantinAid for Research Activity Startup (Grant Number: 21K20324)
 Japan Society for the Promotion of Science
 April 2018–March 2021
 GrantinAid for JSPS Fellows (Grant Number: 18J20418)
 Japan Society for the Promotion of Science
Awards
 September 2020
 MSJ Takebe Katahiro Prize for Encouragement of Young Researchers
 The Mathematical Society of Japan
Organization
 August 2024
 Young Mathematicians Workshop on Several Complex Variables 2024
 Osaka Metropolitan University
 April 2024–
 Fukuoka Complex Analysis Seminar
 Kyushu University & Fukuoka Institute of Technology
 October 2021–March 2024
 Algebraic Geometry Seminar
 Kyoto University
Teaching
Lectures at Kyushu University:
 October 2024–March 2025
 Survey in Mathematics IV, Exercise
 Department of Mathematics
 April 2024–September 2024
 Survey in Mathematics II, Exercise
 Department of Mathematics
 April 2024–September 2024
 Mathematics Perspective I
 Department of Mathematics
Lectures at Kyoto University:
 April 2023–September 2023
 Function Theory of a Complex Variable
 Faculty of Science
 April 2023–September 2023
 Exercises in Analysis I
 Faculty of Science
 April 2023–September 2023
 Calculus with Exercises A (T18)
 Liberal Arts and General Education Courses
 April 2023–September 2023
 Calculus with Exercises A (T21)
 Liberal Arts and General Education Courses
 April 2022–September 2022
 Function Theory of a Complex Variable
 Faculty of Science
 April 2022–September 2022
 Exercises in Analysis I
 Faculty of Science
 April 2022–September 2022
 Calculus with Exercises A (T1)
 Liberal Arts and General Education Courses
 April 2022–September 2022
 Calculus with Exercises A (T3)
 Liberal Arts and General Education Courses
 October 2021–March 2022
 Calculus with Exercises B (A1/A2)
 Liberal Arts and General Education Courses
 April 2021–September 2021
 Exercises in Analysis I
 Faculty of Science
 April 2021–September 2021
 Calculus with Exercises A (T1)
 Liberal Arts and General Education Courses
 April 2021–September 2021
 Calculus with Exercises A (T3)
 Liberal Arts and General Education Courses
Teaching Assistant at Graduate School of Science, Osaka University:
 April 2020–September 2020
 Advanced Complex Analysis (Exercise Session)
 Lecturer: Shinpei Baba
 October 2019–March 2020
 Geometry 2 (Exercise Session)
 Lecturer: Yasuhiro Hara
 October 2019–March 2020
 Geometry 1 (Exercise Session)
 Lecturer: Yoshihiko Matsumoto
 April 2019–September 2019
 Advanced Complex Analysis (Exercise Session)
 Lecturer: Katsutoshi Yamanoi
 April 2019–September 2019

 Advanced Calculus (Exercise Session)
 Lecturer: Takahisa Inui
 October 2018–March 2019
 Complex Analysis (Exercise Session)
 Lecturer: Hideaki Sunagawa
 April 2018–September 2018
 PointSet Topology and Multivariable Calculus (Exercise Session)
 Lecturer: Kazuki Tokimoto
Teaching Assistant at Center for Education in Liberal Arts and Sciences, Osaka University:
 October 2017–March 2018
 Calculus B (Problem Session)
 Lecturer: Naotake Takao
 April 2017–September 2017
 Calculus A (Problem Session)
 Lecturer: Naotake Takao
$\square$