Updated on 2024/02/24
Graduate School of Science Department of Mathematics
Associate Professor 2022.04 - Now
School of Science Department of Mathematics
Associate Professor 2022.04 - Now
Ph.D. in Mathematical Sciences （ The University of Tokyo ）
Natural Science / Geometry
Natural Science / Basic analysis
the Theory of Functions of Several Complex Variables
Complex Geometry
I am interested in singular Hermitian metrics of a (nef) line bundle L over a complex manifold,
especially in minimal singular metrics of L, metrics of L with the mildest singularities among singular Hermitian metrics of L whose local weights are plurisubharmonic.
I am also interested in complex analysis on neighborhoods of compact analytic subvarieties, especially in Ueda theory.
The Mathematical Society of Japan
Domestic
the Osaka Metropolitan University Young Researcher Encouragement Prize
2023.07 Osaka Metropolitan University
MSJ Takebe Katahiro Prize for Encouragement of Young Researchers, The Mathematical Society of Japan
2018.09
Dean's Award, Graduate School of Mathematical Sciences, The University of Tokyo
2015.03
A gluing construction of projective K3 surfaces Reviewed
T. Koike, T. Uehara
Épijournal de Géométrie Algébrique 6 1 - 15 2022.07
On the complement of a hypersurface with flat normal bundle which corresponds to a semipositive line bundle Reviewed
Takayuki Koike
Mathematische Annalen 2021
Linearization of transition functions of a semi-positive line bundle along a certain submanifold Reviewed
Takayuki Koike
Annales de l'Institut Fourier (Grenoble) 2021
Arnol'd's type theorem on a neighborhood of a cycle of rational curves Reviewed
Takayuki Koike
Journal d'Analyse Mathématique 2021
On minimal singular metrics of line bundles whose stable base loci admit holomorphic tubular neighborhoods Reviewed
G. Hosono, T. Koike
Annales de la Faculté des Sciences de Toulouse XXIX ( 1 ) 149 - 175 2020
Higher codimensional Ueda theory for a compact submanifold with unitary flat normal bundle Reviewed
Takayuki Koike
Nagoya Mathematical Journal 238 104 - 136 2020
Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations Reviewed
Takayuki Koike
Forum Mathematicum 31 ( 6 ) 1457 - 1466 2019
Local criteria for non embeddability of Levi-flat manifolds Reviewed
Noboru Ogawa, Takayuki Koike
J. Geom. Anal Volume 28 ( 2 ) 1052 - 1077 2018
Ueda theory for compact curves with nodes Reviewed
Takayuki Koike
Indiana U. Math. J 66 ( 3 ) 845 - 876 2017
Toward a higher codimensional Ueda theory Reviewed
Takayuki Koike
Math. Z. 281 ( 3 ) 967 - 991 2015
On the minimality of canonically attached singular Hermitian metrics on certain nef line bundles Reviewed
Takayuki Koike
Kyoto J. Math. 55 ( 3 ) 607 - 616 2015
On minimal singular metrics of certain class of line bundles whose section ring is not finitely generated Reviewed
Takayuki Koike
Ann. Inst. Fourier (Grenoble) 65 ( 5 ) 1953 - 1967 2015
Minimal singular metrics of a line bundle admitting no Zariski-decomposition Reviewed
Takayuki Koike
Tohoku Math. J. (2) 67 ( 2 ) 297 - 321 2015
Real-time Feynman path integral with Picard--Lefschetz theory and its applications to quantum tunneling Reviewed
Yuya Tanizaki, Takayuki Koike
Ann. Physics 351 250 - 274 2014
小池 貴之（ Role： Sole author）
東京大学数理科学研究科 2014
Semipositivity of line bundles and neighborhoods of analytic submanifolds Invited Reviewed
Takayuki Koike
Sugaku 2021
Delbar cohomology of the complement of a semi-positive anticanonical divisor of a compact surface Domestic conference
Takayuki Koike
2023.12
Delbar cohomology of the complement of a semi-positive anticanonical divisor of a compact surface International conference
Takayuki Koike
Problems on foliations and dynamics in complex geometry 2023.11
Delbar cohomology of the complement of a semi-positive anticanonical divisor of a compact surface Invited Domestic conference
Takayuki Koike
2023.10
Holomorphic foliation associated with a semi-positive class of numerical dimension one Invited International conference
Takayuki Koike
HAYAMA Symposium on Complex Analysis in Several Variables XXIV 2023.07
Holomorphic foliation associated with a semi-positive class of numerical dimension one International conference
Takayuki Koike
SCV, CR geometry and Dynamics 2023.05
A gluing construction of projective K3 surfaces Invited Domestic conference
Takayuki Koike
K3, Enriques Surfaces, and Related Topics 2023.03
Projective K3 surfaces which contain Levi-flat hypersurfaces Invited Domestic conference
2022.10
Projective K3 surfaces which contain Levi-flat hypersurfaces Invited International conference
T. Koike
Complex Analytic Geometry 2022.10
Holomorphic foliation associated with a semi-positive class of numerical dimension one Invited International conference
T. Koike
Complex Geometry and Dynamical Systems 2022.09
Holomorphic foliation associated with a semi-positive class of numerical dimension one Domestic conference
小池貴之
日本数学会年会 2022.03 日本数学会
Holomorphic foliation associated with a semi-positive class of numerical dimension one Invited Domestic conference
Takayuki Koike
2021年度多変数関数論冬セミナー 2021.12
Semipositive line bundles and holomorphic foliations Invited International conference
Takayuki Koike
Dynamics, SCV and CR geometry 2021.12
Semipositive line bundles and holomorphic foliations Invited International conference
Takayuki Koike
葉層構造シンポジウム 2021.10
Linearization of transition functions of a semi-positive line bundle along a certain submanifold Invited International conference
Takayuki Koike
Grauert theory and recent complex geometry 2021.02
半正直線束の変換関数の固定部分近傍における線形化について Invited Domestic conference
小池貴之
第63回 函数論シンポジウム 2020.11
On the complement of a hypersurface with flat normal bundle which corresponds to a semipositive line bundle Invited International conference
Takayuki Koike
第２６回複素幾何シンポジウム(金沢) 2020 2020.11
K3曲面とその幾何学的構成 Invited Domestic conference
Takayuki Koike
ENCOUNTERwithMATHEMATICS 2019.12
Gluing construction of K3 surfaces and complex analysis on a neighborhood of a complex submanifold Invited International conference
Takayuki Koike
城崎代数幾何シンポジウム 2019.10
Points of the Period domain which correspond to K3 surfaces constructed by gluing Domestic conference
Takayuki Koike
日本数学会年会函数論分科会 2019.09
On a neighborhood of an elliptic curve and a gluing construction of K3 surfaces Invited International conference
Takayuki Koike
Complex Geometry 2019 Tokyo 2019.07
On a neighborhood of an elliptic curve and a gluing construction of K3 surfaces Invited International conference
Takayuki Koike
Mini-workshop on Complex Geometry 2019.05
正則葉層構造の複素力学系と非消滅問題
Grant-in-Aid for Scientific Research(C) 2023
半正直線束とq-多重劣調和関数の複素幾何
Fund for the Promotion of Joint International Research / Fostering Joint International Research (A) 2022
半正な正則直線束と複素力学系
Grant-in-Aid for Early-Career Scientists 2020
閉複素多様体の大域的開部分複素多様体
Grant-in-Aid for Research Activity Start-up 2018
Holomorphic neighborhoods of compact manifolds and CR geometry
2024
後期海外特別研究１
2023 Intensive lecture Graduate school
後期特別研究
2023 Intensive lecture Graduate school
数理構造論ゼミナール
2023 Intensive lecture Graduate school
数学特別研究2A
2023 Intensive lecture Graduate school
数学特別研究1A
2023 Intensive lecture Graduate school
海外特別研究2
2023 Intensive lecture Graduate school
海外特別研究1
2023 Intensive lecture Graduate school
数理解析学演習2
2023 Intensive lecture Graduate school
数理解析学演習1
2023 Intensive lecture Graduate school
数学概論A
2023 Weekly class Graduate school
情報数学
2023 Weekly class Undergraduate
数学特別研究4A
2023 Intensive lecture Graduate school
数学特別研究3A
2023 Intensive lecture Graduate school
海外特別研究5
2023 Intensive lecture Graduate school
海外特別研究4
2023 Intensive lecture Graduate school
海外特別研究3
2023 Intensive lecture Graduate school
幾何構造論ゼミナールA
2023 Intensive lecture Graduate school
後期特別研究
2023 Intensive lecture Graduate school
後期特別研究
2023 Intensive lecture Graduate school
海外特別研究
2023 Intensive lecture Undergraduate
複素解析Ⅰ
2023 Weekly class Undergraduate
特別研究
2023 Intensive lecture Undergraduate
複素解析
2023 Weekly class Graduate school
後期海外特別研究２
2023 Intensive lecture Graduate school
数学特別研究2B
2023 Intensive lecture Graduate school
数学特別研究1B
2023 Intensive lecture Graduate school
数理解析学演習1
2023 Intensive lecture Graduate school
数理科学C
2023 Weekly class Graduate school
複素解析Ⅱ
2023 Weekly class Undergraduate
数学特別研究4B
2023 Intensive lecture Graduate school
数学特別研究3B
2023 Intensive lecture Graduate school
常微分方程式
2019 Undergraduate
複素解析II
2019 Undergraduate
複素解析I
2019 Undergraduate
数理科学C
2018 Graduate school