Biography

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

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, accepted by Adv. Math. (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, Mirror of volume functionals on manifolds with special holonomy, Advances in Mathematics, 405, 108515 (2022)
• [7] 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)
• [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. Yamamoto, The real Fourier–Mukai transform of Cayley cycles, Pure Appl. Math. Q., 17(5), 1861–1898 (2021)
• [11] K. Kawai, Conformal transformations of the pseudo-Riemannian metric of a homogeneous pair, J. Lond. Math. Soc. (2), 103, 516–557 (2021)
• [12] K Kawai, Conformal transformations of the pseudo‐Riemannian metric of a homogeneous pair, Journal of the London Mathematical Society, 103(2), 516-557 (2021)
• [13] K Kawai, H Yamamoto, The real Fourier-Mukai transform of Cayley cycles, arXiv (2021)
• [14] 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)
• [15] K. Kawai, H. V. Lˆe, L. Schwachh¨ofer, Fr¨olicher-Nijenhuis bracket on manifolds with special holonomy, Fields Institute Communications, 84, 201–215 (2020)
• [16] 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)
• [17] K. Kawai, Second-order deformations of associative submanifolds in nearly parallel G2-manifolds, Q. J. Math., 69, 241–270 (2018)
• [18] 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.
• [19] K.Kawai, H. V. Lˆe, L. Schwachh¨ofer, Fr¨olicher-Nijenhuis cohomology on G2- and Spin(7)-manifolds, Internat. J. Math., 29, 1850075. (2018)
• [20] 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)
• [21] K Kawai, HV Lê, L Schwachhöfer, Frölicher–Nijenhuis cohomology on$G2$- and$Spin(7)$-manifolds, International Journal of Mathematics, 29(12), 1850075 (2018)
• [22] K Kawai, Second-Order deformations of associative submanifolds in nearly parallel-manifolds, The Quarterly Journal of Mathematics, 69(1), 241-270 (2018)
• [23] 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)
• [24] K. Kawai, Deformations of homogeneous associative submanifolds in nearly parallel G2-manifolds, Asian J. Math., 21(2), 429–462 (2017)
• [25] K. Kawai, Stabilities of affine Legendrian submanifolds and their moduli spaces, Differential Geom. Appl., 47, 159–189 (2016)
• [26] K. Kawai, Calibrated submanifolds and reductions of G2-manifolds, Osaka J. Math., 52(1), 93–116 (2015)
• [27] K. Kawai, Some associative submanifolds of the squashed 7-sphere, Q. J. Math., 66(4), 861–893 (2015)
• [28] K Kawai, Calibrated submanifolds and reductions of$G_{2}$-manifolds (2015)
• [29] K. Kawai, Construction of Coassociative Submanifolds, Real and Complex Submanifolds(497–503) (2014)
• [30] K. Kawai, Construction of coassociative sumanifolds, RIMS Koukyuroku, 1880, 23–31 (2014)
• [31] K Kawai, Deformations of homogeneous associative submanifolds in nearly parallel$G_{2}$-manifolds, arXiv (2014)
• [32] 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)
• [33] K Kawai, Construction of coassociative submanifolds in R^ 7 and Λ− 2 S 4 with symmetries, arXiv (2013)
• [34] 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.
• [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)
• [36] K. Kawai and H. Yamamoto, Deformation theory of deformed Hermitian Yang–Mills connections on a complex submanifold, accepted by ASPM volume of the 13th MSJ-SI proceedings “Differential Geometry and Integrable Systems”