Research theme for competitive and other funds (7):
2024 - 2029 Higgs bundles over Sasakian manifolds and related geometric structures
2023 - 2028 一般化されたケーラー幾何学の新展開
2021 - 2024 Complex geometric structures and their moduli on Lie groups and homogeneous spaces
2019 - 2024 Geometry of the space of all variations of mixed Hodge structure over complex manifolds
2015 - 2020 Non-abelian Hodge decomposition on non-Kahler complex manifolds
2013 - 2014 可解多様体の複素構造の変形理論の研究
2010 - 2012 可解ド・ラームホモトピー理論の構築と、その理論の複素・代数幾何への応用
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Papers (43):
Complex non-Kähler manifolds that are cohomologically close to, or far from, being Kähler. Math Res Let. 2024
Indranil Biswas, Hisashi Kasuya. Higgs bundles and flat connections over compact Sasakian manifolds, II: quasi-regular bundles. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 2023. 33-33
Hisashi Kasuya, Natsuo Miyatake. Uniformizations of Compact Sasakian Manifolds. International Mathematics Research Notices. 2023. 2024. 10. 8313-8328
Hisashi Kasuya. Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds. European Journal of Mathematics. 2023. 9. 3
H. KASUYA, J. STELZIG. FRÖLICHER SPECTRAL SEQUENCE AND HODGE STRUCTURES ON THE COHOMOLOGY OF COMPLEX PARALLELISABLE MANIFOLDS. Transformation Groups. 2023