微分几何与几何分析，研究兴趣主要集中于：

2020.9-至今 同济大学 特聘研究员

2018.9-2020.8 Max Planck Institute for Mathematics 博士后

2016.9-2018.8 McMaster University 博士后

发表论文

1. (with B. Allen and W. Tian) On the scalar curvature compactness conjecture in the conformal case, Accepted by Calc. Var. Partial Differential Equations, 65(1), Paper No. 12, 37 pp, (2026).

2. (with X. Dai and Y. Sun) Positive mass theorem for asymptotically flat spin manifolds with isolated conical singularities, Trans. Amer. Math. Soc., 378 (4), 2617-2646, (2025).

3. (with X. Dai and Y. Sun) Positive mass theorem for asymptotically flat manifolds with isolated conical singularities, Sci. China Math., 68(7), 1671-1686, (2025).

4. (with Y. Sun) Gap phenomenon for scalar curvature, J. Geom. Anal., Volume 35, article number 275, (2025).

5. (with W. Tian) Compactness of sequences of warped product circles over spheres with nonnegative scalar curvature, Math. Ann., 390(2), 2767-2823, (2024).

6. (with X. Dai) Perelman's functionals on manifolds with non-isolated conical singularities, Calc. Var. Partial Differential Equations, Volume 63, article number 233, 51 pages, (2024).

7. (with C. Sormani and W. Tian) An extreme limit with nonnegative scalar curvature, Nonlinear Anal., 239, Paper No. 113427, 24 pp, (2024).

8. (with M. Wang) Instability of some Riemannian manifolds with real Killing spinors, Comm. Anal. Geom., 30(8), 1895-1931, (2022).

9. (with U. Semmelmann and M. Wang) Linear Instability of Sasaki Einstein and nearly parallel G2 manifolds, Internat. J. Math., 33(6), Paper No. 2250042, 17 pages, (2022).

10. (with F. He) Regularity estimates for the gradient flow of a spinorial energy functional, Math. Res. Lett., 28(4), 1125-1173, (2021).

11. (with M. Wang) Stability of Einstein metrics on fiber bundles, J. Geom. Anal., 31, 490-515, (2021).

12. (with X. Dai) Perelman's W-functional on manifolds with conical singularities, Math. Res. Lett., 27(3), 665-685, (2020).

13. (with U. Semmelmann and M. Wang) On the linear stability of nearly Kaehler 6-manifolds, Ann. Global Anal. Geom., 57(1), 15-22, (2020).

14. (with J. Park and W. Tian) A compactness theorem for rotationally symmetric Riemannian manifolds with positive scalar curvature, Pure Appl. Math. Q., 14(3-4), 529-561, (2018).

15. (with X. Dai) Perelman's lambda-functional on manifolds with conical singularities, J. Geom. Anal., 28(4), 3657-3689, (2018).

16. Stability of Riemannian manifolds with Killing spinors, Internat. J. Math., 28(1), 1750005, 19 pages, (2017).