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Takayuki Koike
小池 貴之

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Takayuki Koike

     I am an associate professor of Department of Mathematics, Graduate School of Science, Osaka Metropolitan University.

Email : tkoike [at] omu.ac.jp
Research field : Complex geometry, The theory of functions of several complex variables.
Research interests : (Singular) Hermitian metrics on a line bundle on a complex manifold, The theory of functions of several complex variables on a neighborhood of a complex submanifold.
ORCID : 0000-0002-7860-1899
MR ID : 1090629

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.

講義関連 (For students)

講義関連のページはこちらから.

Papers & Preprints

Papers

Preprints

Abstracts, reports, and so on

Organizing

  1. Potential Theoretical Aspects of Complex Analytic Geometry, The University of Tokyo, Tokyo, February 12-14, 2016 (with G. Hosono and R. Nomura).
  2. Positivity Concepts on Holomorphic Line Bundles and Theories on Canonical Kähler Metrics, Osaka City University, Osaka, January 28-31, 2018.
  3. Complex geometry and complex dynamics in higher dimension, Osaka City University, Osaka, June 27, 2018 (as a local organizer, with Y. Okuyama).
  4. Several Complex Variables Winter Seminar, Osaka City University, Osaka, December 21-23, 2018 (as a local organizer, with S. Hamano).
  5. Workshop on Complex Analytic and Algebraic Methods in Dynamics, Osaka City University, Osaka, January 15-18, 2019 (with Y. Nakamura).
  6. Young mathematicians workshop on algebraic, geometric, and analytic aspects of K theory and vector bundles, University of the Ryukyus, Okinawa, August 20-23, 2019 (with T. Matsushita).
  7. "Young Mathematicians Workshop on Several Complex Variables 2019", Osaka City University, Osaka, September 7-9, 2019 (with M. Adachi and A. Yamamori).
  8. Geometric Complex Analysis on Foliations and Dynamics, RIMS, Kyoto, November 25-27, 2019 (with T. Ohsawa).
  9. Kodaira's Theory on Complex Manifolds and its Development, Osaka City University, Osaka, December 8-9, 2019 (with T. Ohsawa).
  10. 複素代数多様体上の直線束と多重劣調和関数, Tohoku University, Miyagi, February 18-21, 2019 (with M. Iwai).
  11. 多変数関数論若手オンライン勉強会, online, November 25 - December 16, 2020 (with G. Hosono).
  12. Grauert theory and recent complex geometry, online, February 6-9, 2021 (with T. Ohsawa).
  13. 複素幾何学の諸問題 II, online, September 6-9, 2021 (as a local organizer, with S. Takayama and R. Nomura).
  14. Subvarieties and foliations of complex projective varieties, online, February 7-10, 2022 (with T. Ohsawa and M. Iwai).
  15. Young Mathematicians Workshop on Several Complex Variables 2022, online, August 22-24, 2022 (Japanese venue, with M. Adachi and A. Yamamori).
  16. 1day workshop on dynamical systems and complex geometry, Osaka Metropolitan University, Osaka, January 25, 2023 (with S. Ogawa).
  17. Young Mathematicians Workshop on Several Complex Variables 2023, Pusan National University, 9-11 August, 2023 (with M. Adachi, Y-W. L. Cho, Y-J. Choi, F. Deng, K-H Lee, S. Rao, A. Yamamori, Q. Yan, L. Zhang).
  18. Problems on foliations and dynamics in complex geometry, RIMS, 20-22 November, 2023 (Proposed by T. Ohsawa, organized with M. Adachi, S. Hamano, and M. Iwai).
  19. Workshop on Dynamics in Arithmetic and Complex Geometry and its applications, Osaka Metropolitan University, 16-19 January, 2024 (with Y. Hashimoto, R. Irokawa, Y. Matsuzawa, and H. Miyazaki).
  20. Young Mathematicians Workshop on Several Complex Variables 2024, Osaka Metropolitan University, 5-8 August, 2024 (with T. Inayama, Y. Kusakabe, M. Adachi, A. Yamamori, Y-W. L. Cho, Y-J. Choi, Z. Wang, Q. Yan, L. Zhang, and L. Zhang).
  21. Workshop on Algebraic Geometry over complex number field or in positive characteristic, Osaka Metropolitan University, 17-20 September 2024 (with S. Ejiri, M. Iwai, S. Matsumura, Y. Matsuzawa, and K. Sato).
  22. SCV, CR geometry and Dynamics, RIMS, 25-29 November, 2024 (with M. Adachi and L. Stolovitch).
  23. Workshop on pseudoconvexity of general order, Osaka Metropolitan University, 2-3 December 2024 (with M. Adachi).
  24. Non-archimedean and tropical geometry from complex and algebraic geometry and dynamics, Osaka Metropolitan University, 20-24 January 2025 (with T.Uehara, Y. Okuyama, Y. Hashimoto, and Y. Matsuzawa).

Curriculum Vitae

  • Associate professor of Department of Mathematics, Graduate School of Science, Osaka City University, Leading Initiative for Excellent Young Researchers（LEADER).
  • Born on July 5, 1988 in Tokyo and grew up in Tokyo.

Education

Mar. 2011 B.S. in Mathematics, the University of Tokyo.
Mar. 2013 M.S. in Mathematical Sciences, the University of Tokyo.
Mar. 2015 Ph.D. in Mathematical Sciences, the University of Tokyo.
    Dissertation: Studies on singular Hermitian metrics with minimal singularities on numerically effective line bundles
    Advised by Professor Shigeharu Takayama.

Employment & Fellowships

Nov. 2012--Mar. 2015 FMSP course student, Leading Graduate Course for Frontiers of Mathematical Sciences and Physics.
Apr. 2013--Mar. 2015 JSPS Research Fellow (DC1, 25-2869).
Apr. 2015--Mar. 2016 JSPS Research Fellow (PD, 25-2869).
Apr. 2016--Dec. 2017 JSPS Research Fellow (PD, 28-4196).
Jan. 2018--Mar. 2020 Lecturer of Department of Mathematics, Graduate School of Science, Osaka City University, Leading Initiative for Excellent Young Researchers（LEADER, No. J171000201).
Oct. 2018--Mar. 2020 JSPS Grant-in-Aid for Research Activity start-up (H18H05834, K19K21024).
Apr. 2020--Mar. 2022 Associate professor of Department of Mathematics, Graduate School of Science, Osaka City University, Leading Initiative for Excellent Young Researchers（LEADER, No. J171000201).
Apr. 2020--Mar. 2023 JSPS Grant-in-Aid for Early-Career Scientists (20K14313).
Apr. 2022-- The affiliation changed to Osaka Metropolitan University in accordance with the integration of Osaka City University and Osaka Prefecture University.
Jan. 2023-- JSPS Fund for the Promotion of Joint International Research (22KK0232).
Apr. 2023-- JSPS Grant-in-Aid for Scientific Research (C) (23K03119).
Apr. 2024-- JSPS MEAE-MESR Bilateral Program (SAKURA Program).

Professional Societies

  • The Mathematical Society of Japan (Member #11163).

Awards

  • Mar. 2015 Dean's Award, Graduate School of Mathematical Sciences, The University of Tokyo.
  • Sep. 2018 MSJ Takebe Katahiro Prize for Encouragement of Young Researchers, The Mathematical Society of Japan.
  • Jul. 2023 the Osaka Metropolitan University Young Researcher Encouragement Prize, Osaka Metropolitan University.


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Takayuki KOIKE (tkoike [at] omu.ac.jp), Department of Mathematics, Graduate School of Science, Osaka Metropolitan University, 3-3-138, Sugimoto, Sumiyoshi-ku Osaka, 558-8585 Japan.

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小池 貴之 (tkoike [at] omu.ac.jp), 〒558-8585　大阪市住吉区杉本3－3－138 大阪公立大学 大学院理学研究科 数学教室.