changliang-wang.github.io

王常亮

地址：同济大学宁静楼307室
电子邮箱: wangchl@tongji.edu.cn

教育背景

• 2011 — 2016，数学博士，美国加州大学圣芭芭拉分校
• 2008 — 2011， 理学硕士，中国科学技术大学
• 2004 — 2008， 理学学士，中国科学技术大学

工作经历

• 2020.09 — 至 今， 特聘研究员， 同济大学
• 2018.09 — 2020.08， 博士后，德国马克斯普朗克数学所
• 2016.09 — 2018.08, 博士后，加拿大McMaster大学

研究方向

微分几何，几何分析

• 非负数量曲率流形类的紧性与正则性
• Einstein度量的稳定性问题

论文

发表论文

1. (with Y. Sun) Gap phenomenon for scalar curvature, Journal of Geometric Analysis, Volume 35, article number 275, (2025). (link)
2. (with X. Dai and Y. Sun) Positive mass theorem for asymptotically flat spin manifolds with isolated conical singularities, Transactions of the American Mathematical Society, 378 (4), 2617-2646, (2025). (link)
3. (with X. Dai and Y. Sun) Positive mass theorem for asymptotically flat manifolds with isolated conical singularities, Science China Mathematics, Vol. 68, No. 7, 1671-1686, (2025). (link)
4. (with W. Tian) Compactness of sequences of warped product circles over spheres with nonnegative scalar curvature, Mathematische Annalen, 390, no. 2, 2767-2823, (2024). (link)
5. (with X. Dai) Perelman's functionals on manifolds with non-isolated conical singularities, Calculus of Variations and Partial Differential Equations, Volume 63, article number 233, 51 pages, (2024). (link)
6. (with C. Sormani and W. Tian) An extreme limit with nonnegative scalar curvature, Nonlinear Analysis, 239, Paper No. 113427, 24 pp, (2024). (link)
7. (with M. Wang) Instability of some Riemannian manifolds with real Killing spinors, Communications in Analysis and Geometry, 30(8), 1895-1931, (2022). (link)
8. (with U. Semmelmann and M. Wang) Linear Instability of Sasaki Einstein and nearly parallel G2 manifolds, International Journal of Mathematics, 33(6), Paper No. 2250042, 17 pages, (2022). (link)
9. (with F. He) Regularity estimates for the gradient flow of a spinorial energy functional, Mathematical Research Letters, 28(4), 1125-1173, (2021). (link)
10. (with M. Wang) Stability of Einstein metrics on fiber bundles, Journal of Geometric Analysis, 31, 490-515, (2021). (link)
11. (with X. Dai) Perelman's W-functional on manifolds with conical singularities, Mathematical Research Letters, 27(3), 665-685, (2020). (link)
12. (with U. Semmelmann and M. Wang) On the linear stability of nearly Kaehler 6-manifolds, Annals of Global Analysis and Geometry, 57(1), 15-22, (2020). (link)
13. (with J. Park and W. Tian) A compactness theorem for rotationally symmetric Riemannian manifolds with positive scalar curvature, Pure Applied Mathematics Quarterly, 14(3-4), 529-561, (2018). (link)
14. (with X. Dai) Perelman's lambda-functional on manifolds with conical singularities, Journal of Geometric Analysis, 28(4), 3657-3689, (2018). (link)
15. Stability of Riemannian manifolds with Killing spinors, International Journal of Mathematics, 28(1), 1750005, 19 pages, (2017). (link)

预印本

16. (with B. Allen and W. Tian) On the scalar curvature compactness conjecture in the conformal case, Accepted by Calculus of Variation and Partial Differential Equations, (2025), arXiv:2406.03988.
17. (with X. Dai, L. Wang and G. Wei) Singular metrics with nonnegative scalar curvature and RCD, arXiv:2412.09185.
18. (with X. Dai, Y. Sun) Positive scalar curvature and isolated conical singularity, arXiv:2412.02941.