BIMSA > 河井公大朗
副研究员 河井公大朗

团队: 分析和几何

办公室: A3-4-207

邮箱: kkawai@bimsa.cn

研究方向: 微分几何

个人简介

Kotaro Kawai于日本东京大学取得学士和硕士学位，并于2013年在日本东北大学博士毕业。此前他以助理教授身份就职于日本学习院大学，学习院大学是日本皇家高等学府，著名教授小平邦彦也在此就职。他于2022年加入BIMSA任副研究员。Kawai主要研究方向是的主要研究方向是微分几何，具体为有例外和乐的流形。

教育经历

  • 2011 - 2013      东北大学      Mathematics      博士      (Supervisor: Advisor: Professor Reiko Miyaoka)
  • 2007 - 2009      东京大学      Mathematical Sciences      硕士
  • 2003 - 2007      东京大学      Mathematics      学士

工作经历

  • 2022 -      BIMSA      Associate Professor
  • 2022 -      大阪公立大学      博士后研究员
  • 2021 - 2022      大阪市立大学      博士后研究员
  • 2017 - 2022      学习院大学      助理教授
  • 2014 - 2017      东京大学      JSPS Research Fellowship for Young Scientists (PD)
  • 2013 - 2014      东北大学      JSPS Research Fellowship for Young Scientists (PD)
  • 2012 - 2013      东北大学      JSPS Research Fellowship for Young Scientists (DC2)

荣誉与奖项

  • 2013      Kawai prize for Dr. thesis
  • 2013      Aoba Society for the Promotion of Science Award

出版物

  • [1] Kotaro Kawai, Some observations on deformed Donaldson-Thomas connections, accepted by Ann. Inst. Fourier (Grenoble) (2023)
  • [2] Kotaro Kawai, On deformed Donaldson-Thomas connections, RIMS Koukyuroku, 2239, 98-107 (2023)
  • [3] Kotaro Kawai, A monotonicity formula for minimal connections, arXiv:2309.11796v1(2023)
  • [4] K. Kawai, H. Yamamoto, Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections, J. Geom. Anal., 32(5), Paper No. 157 (2022)
  • [5] K. Kawai and H. Yamamoto, “Mirror of volume functionals on manifolds with special holonomy”, Adv. Math. 405 (2022), Paper No. 108515.
  • [6] K. Kawai, H. Yamamoto, The real Fourier–Mukai transform of Cayley cycles, Pure Appl. Math. Q., 17(5), 1861–1898 (2021)
  • [7] K. Kawai, Conformal transformations of the pseudo-Riemannian metric of a homogeneous pair, J. Lond. Math. Soc. (2), 103, 516–557 (2021)
  • [8] D. Fiorenza, K. Kawai, H. V. Lˆe, L. Schwachh¨ofer, Almost formality of manifolds of low dimension, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), XXII, 79–107 (2021)
  • [9] K. Kawai, H. Yamamoto, Deformation theory of deformed Donaldson–Thomas connections for Spin(7)-manifolds, J. Geom. Anal., 31, 12098–12154 (2021)
  • [10] K. Kawai, H. V. Lˆe, L. Schwachh¨ofer, Fr¨olicher-Nijenhuis bracket on manifolds with special holonomy, Fields Institute Communications, 84, 201–215 (2020)
  • [11] K.Kawai, H. V. Lˆe, L. Schwachh¨ofer, Fr¨olicher-Nijenhuis cohomology on G2- and Spin(7)-manifolds, Internat. J. Math., 29, 1850075. (2018)
  • [12] K. Kawai, H. V. Lˆe and L. Schwachh¨ofer, “The Fr¨olicher-Nijenhuis bracket and the geometry of G2- and Spin(7)-manifolds”, Ann. Mat. Pura Appl. 197 (2018), 411–432.
  • [13] K. Kawai, Second-order deformations of associative submanifolds in nearly parallel G2-manifolds, Q. J. Math., 69, 241–270 (2018)
  • [14] K. Kawai, Cohomogeneity One Coassociative Submanifolds in the Bundle of Anti-self-dual 2-forms over the 4-sphere, Comm. Anal. Geom., 26(1), 361–409 (2018)
  • [15] K. Kawai, Deformations of homogeneous associative submanifolds in nearly parallel G2-manifolds, Asian J. Math., 21(2), 429–462 (2017)
  • [16] K. Kawai, Stabilities of affine Legendrian submanifolds and their moduli spaces, Differential Geom. Appl., 47, 159–189 (2016)
  • [17] K. Kawai, Calibrated submanifolds and reductions of G2-manifolds, Osaka J. Math., 52(1), 93–116 (2015)
  • [18] K. Kawai, Some associative submanifolds of the squashed 7-sphere, Q. J. Math., 66(4), 861–893 (2015)
  • [19] K. Kawai, Construction of coassociative sumanifolds, RIMS Koukyuroku, 1880, 23–31 (2014)
  • [20] K. Kawai, Construction of Coassociative Submanifolds, Real and Complex Submanifolds(497–503) (2014)
  • [21] K. Kawai, Deformations of associative submanifolds in nearly parallel G2-manifolds, Proceedings of the 17th International Workshop on Differential Geometry and the 7th KNUGRGOCAMI Differential Geometry Workshop 17, 107–112 (2013)
  • [22] K. Kawai, “Torus invariant special Lagrangian submanifolds in the canonical bundle of toric positive K¨ahler Einstein manifolds”, Kodai Math. J. 34 (2011) 519–535.
  • [23] K Kawai, H Yamamoto, Mirror of volume functionals on manifolds with special holonomy, Advances in Mathematics, 405, 108515 (2022)
  • [24] K Kawai, H Yamamoto, Deformation theory of deformed Hermitian Yang–Mills connections and deformed Donaldson–Thomas connections, The Journal of Geometric Analysis, 32(5), 157 (2022)
  • [25] K Kawai, Conformal transformations of the pseudo‐Riemannian metric of a homogeneous pair, Journal of the London Mathematical Society, 103(2), 516-557 (2021)
  • [26] K Kawai, H Yamamoto, The real Fourier-Mukai transform of Cayley cycles, arXiv (2021)
  • [27] K Kawai, H Yamamoto, Deformation Theory of Deformed Donaldson–Thomas Connections for$Spin(7)$-manifolds, The Journal of Geometric Analysis, 31(12), 12098-12154 (2021)
  • [28] K Kawai, H Vân Lê, L Schwachhöfer, Frölicher–Nijenhuis Bracket on Manifolds with Special Holonomy, Lectures and Surveys on G2-Manifolds and Related Topics, 201-215 (2020)
  • [29] K Kawai, Second-Order deformations of associative submanifolds in nearly parallel-manifolds, The Quarterly Journal of Mathematics, 69(1), 241-270 (2018)
  • [30] K Kawai, HV Lê, L Schwachhöfer, Frölicher–Nijenhuis cohomology on$G2$- and$Spin(7)$-manifolds, International Journal of Mathematics, 29(12), 1850075 (2018)
  • [31] K Kawai, HV Lê, L Schwachhöfer, The Frölicher–Nijenhuis bracket and the geometry of$G2$-and Spin(7)-manifolds, Annali di Matematica Pura ed Applicata (1923-), 197(2), 411-432 (2018)
  • [32] K Kawai, Calibrated submanifolds and reductions of$G_{2}$-manifolds (2015)
  • [33] K Kawai, Deformations of homogeneous associative submanifolds in nearly parallel$G_{2}$-manifolds, arXiv (2014)
  • [34] K Kawai, Construction of coassociative submanifolds in R^ 7 and Λ− 2 S 4 with symmetries, arXiv (2013)
  • [35] K Kawai, Torus invariant special Lagrangian submanifolds in the canonical bundle of toric positive Kähler Einstein manifolds, Kodai Mathematical Journal, 34(3), 519-535 (2011)

 

更新时间: 2025-08-11 17:00:07