1.复几何:Bimeromorphic geometry of complex manifolds, Locally conformal Kähler geometry 2.辛几何:Symplectic geometry and stratified spaces, Locally conformal symplectic geometry.
9. The convexity package for Hamiltonian actions on conformal symplectic manifolds (与陈友明,Reyer Sjamaar合作), Math. Z. 298 (2021), no. 3-4, 1143–1173. 8. Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\ddbar$-Lemma for threefolds (与杨松合作), Trans. Amer. Math. Soc. Vol. 373 (2020), 8885–8909. 7. Dolbeault cohomologies of blowing up complex manifolds II: bundle-valued case (与饶胜,杨松合作), J. Math. Pures Appl. (9) 133 (2020), 1–38. 6. Dolbeault cohomologies of blowing up complex manifolds (与饶胜,杨松合作), J. Math. Pures Appl. (9) 130 (2019), 68–92. 5. Equivariant formality of Hamiltonian transversely symplectic foliations (与林毅合作), Pacific J. Math. 298 (2019), no. 1, 59–82. 4. Locally conformal symplectic blow-ups (与杨松,赵国松合作), Differential Geom. Appl. 50 (2017), 11–19. 3. A double Poisson algebra structure on Fukaya categories (与陈小俊,赫海龙,孙善忠合作), J. Geom. Phys. 98 (2015), 57–76. 2. A note on the Morse–Novikov cohomology of blow-ups of locally conformal Kähler manifolds (与赵国松合作), Bull. Aust. Math. Soc. 91 (2015), 155–166. 1. Stratified obstruction systems for equivariant moduli problems and invariant Euler cycles, Algebr. Geom. Topol. 15 (2015), 287–318.
工作及访问经历: 2015年7月15日-2021年7月13日,任职于重庆大学数学系。 2017年9月---2019年9月,康奈尔大学数学系博士后(国家留学基金委资助),合作导师Reyer Sjamaar教授。 2020年10月---2020年12月,访问四川大学数学系。 2021年10月---2022年1月,访问四川大学数学系以及天元数学西南中心。
作者:杨向东