一. 科研项目(主持):
1.四元切触流形与八元切触流形上的几何与分析,国家自然科学基金青年项目,2019.01-2021.12
2.几类Heisenberg型群上的函数论,浙江省自然科学基金探索Y类,2022.01-2024.12
3.几类H-型群上分析与几何问题的研究,省属高校基本科研业务费,2021.01-2022.12
4.一些切触流形上若干问题的研究,浙江省教育厅教师发展项目,2022.01-2024.12
二. 科研论文(近五年代表作):
1. Shi, Y. and Wang, W., The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of F4(−20). Ann. Mat. Pura Appl., 2021, 200 (6): 2597–2630.
2. Shi, Y. and Wang, W. The tangential k-Cauchy-Fueter complexes and Hartogs’ phenomenon over the right quaternionic Heisenberg group. Ann. Mat. Pura Appl., 2020, 199(2): 651-680.
3. Shi, Y. and Wang, W., On conformal qc geometry, spherical qc manifolds and convex cocompact subgroups of Sp(n+1,1). Ann. Glob. Anal. Geom., 2016, 49(3): 271-307.
4. Shi, Y. and Wu, Q-Y., The Penrose transform and the exactness of the tangential k-Cauchy-Fueter complex on the Heisenberg group. Adv. Appl. Clifford Algebr., 2021, 31(3): 1-22.
5. Ren, G-Z., Shi, Y*. and Wang, W., The tangential k-Cauchy-Fueter operator and k-CF functions over the Heisenberg group. Adv. Appl. Clifford Algebr., 2020, 30(2): 1-20.
6. Shi, Y. and Wang, W., The Szegö kernel for k-CF functions on the quaternionic Heisenberg group. Appl. Anal., 2017, 96(14): 2474-2492.
7. Shi, Y. and Ren, G-Z., Bochner-Martinelli type formula over the quaternionic Heisenberg group and the octonionic Heisenberg group. Ital. J. Pure Appl. Math., 2021, 45: 914-931.
8. 施云., Riemann流形上的一类标准共形不变度量. 高校应用数学学报,2021, 36(3): 342-348.