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

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 and H. Yamamoto, “Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections”, J. Geom. Anal. 32 (2022), no. 5, Paper No. 157, 51 pp.
  • [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 and H. Yamamoto, “Deformation theory of deformed Donaldson–Thomas connections for Spin(7)-manifolds”, J. Geom. Anal. 31 (2021), 12098–12154.
  • [7] K. Kawai, “Conformal transformations of the pseudo-Riemannian metric of a homogeneous pair”, J. Lond. Math. Soc. (2) 103 (2021), 516–557.
  • [8] K. Kawai and H. Yamamoto, “The real Fourier–Mukai transform of Cayley cycles”, Pure Appl. Math. Q. 17 (2021), no. 5, 1861–1898.
  • [9] D. Fiorenza, K. Kawai, H. V. Lˆe and L. Schwachh¨ofer, “Almost formality of manifolds of low dimension”, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXII (2021), 79–107.
  • [10] K. Kawai, H. V. Lˆe and L. Schwachh¨ofer, “Fr¨olicher-Nijenhuis bracket on manifolds with special holonomy”, Lectures and Surveys on G2-Manifolds and Related Topics. Fields Institute Communications 84 (2020), 201–215.
  • [11] K. Kawai, “Cohomogeneity One Coassociative Submanifolds in the Bundle of Anti-self-dual 2-forms over the 4-sphere”, Comm. Anal. Geom. 26 (2018), 361–409.
  • [12] K.Kawai, H. V. Lˆe and L. Schwachh¨ofer, “Fr¨olicher-Nijenhuis cohomology on G2- and Spin(7)-manifolds”, Internat. J. Math. 29 (2018), 1850075.
  • [13] 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.
  • [14] K. Kawai, “Second-order deformations of associative submanifolds in nearly parallel G2-manifolds”, Q. J. Math. 69 (2018), 241–270.
  • [15] K. Kawai, “Deformations of homogeneous associative submanifolds in nearly parallel G2-manifolds”, Asian J. Math. 21 (2017), 429–462.
  • [16] K. Kawai, “Stabilities of affine Legendrian submanifolds and their moduli spaces”, Differential Geom. Appl. 47 (2016), 159–189.
  • [17] K. Kawai, “Some associative submanifolds of the squashed 7-sphere”, Q. J. Math. 66 (2015), 861–893.
  • [18] K. Kawai, “Calibrated submanifolds and reductions of G2-manifolds”, Osaka J. Math. 52 (2015) 93–116.
  • [19] K. Kawai, “Construction of coassociative sumanifolds”, RIMS Koukyuroku 1880 (2014), 23–31.
  • [20] K. Kawai, “Construction of Coassociative Submanifolds”, Real and Complex Submanifolds (Springer Proceedings in Mathematics & Statistics) (2014) 497–503.
  • [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 (2013), 107–112.
  • [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.

 

更新时间: 2024-09-30 15:45:15