BIMSA > Kotaro Kawai
Associate Professor Kotaro Kawai

Group: Analysis and Geometry

Office: A3-4-207

Email: kkawai@bimsa.cn

Research Field: Differential Geometry

Biography

Kotaro Kawai got a bachelor's degree and a master's degree from the university of Tokyo, and received his Ph.D from Tohoku university in 2013. He was an assistant professor at Gakushuin university in Japan, then he moved to BIMSA in 2022. His research interests are in differential geometry, focusing on manifolds with exceptional holonomy.

Education Experience

  • 2011 - 2013      Tohoku University      Mathematics      Doctor      (Supervisor: Advisor: Professor Reiko Miyaoka)
  • 2007 - 2009      University of Tokyo      Mathematical Sciences      Master
  • 2003 - 2007      University of Tokyo      Mathematics      Bachelor

Work Experience

  • 2022 -      BIMSA      Associate Professor
  • 2022 -      Osaka Metropolitan University      Postdoc Researcher
  • 2021 - 2022      Osaka City University      Postdoc Researcher
  • 2017 - 2022      Gakushuin University      Assistant Professor
  • 2014 - 2017      University of Tokyo      JSPS Research Fellowship for Young Scientists (PD)
  • 2013 - 2014      Tohoku University      JSPS Research Fellowship for Young Scientists (PD)
  • 2012 - 2013      Tohoku University      JSPS Research Fellowship for Young Scientists (DC2)

Honors and Awards

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

Publication

  • [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.

 

Update Time: 2024-09-30 15:45:15