Jintian Zhu

Assistant professor, Westlake University

Office: E4-227, Yungu Campus

Email: zhujintian AT westlake DOT edu DOT cn

Personal research interests: Geometric analysis and PDE

Education and employment

Sep. 2012-July 2016, Beijing Normal University, Bachelor of Science
Sep. 2016-July 2021, Peking University, Ph.D. (supervised by Professor Yuguang Shi)
Sep. 2019-Sep. 2020, University of Chicago, visiting student (supervised by Professor Andre Neves)
July 2021-June 2023, Peking University, Postdoc (supervised by Professor Gang Tian)
July 2023-so far, Westlake University, Assistant professor

Publications

On Kahler manifolds with non-negative mixed curvature (with Jianchun Chu and Man-Chun Lee) [arXiv:2408.14043]
Optimal volume bound and volume growth for Ricci-nonnegative manifolds with positive Bi-Ricci curvature. (with Jie Zhou) [arXiv:2406.18343]
Llarull's theorem on punctured sphere with $L^\infty$ metric. (with Jianchun Chu and Man-Chun Lee) [arXiv:2405.19724]
On open manifolds admitting no complete metric with positive scalar curvature. (with Yuguang Shi, Jian Wang and Runzhang Wu) [arXiv:2404.01660]
Calabi-Yau type theorem for complete manifolds with nonnegative scalar curvature. [arXiv:2402.15118]
Positive scalar curvature metric and aspherical summands. (with Shuli Chen and Jianchun Chu) [arXiv:2312.04698v2]
A note on rational homology vanishing theorem for hypersurfaces in aspherical manifolds. (with Shihang He) [arXiv:2311.14008]
A non-spin method to the positive weighted mass theorem for weighted manifolds. (with Jianchun Chu) J. Geom. Anal. 34 (2024), no. 9, Paper No. 272, 31 pp.
Riemannian Penrose inequality without horizon in dimension three. Trans. Amer. Math. Soc. 377 (2024), no. 6, 4101-4116.
Singular positive mass theorem with arbitrary ends. (with Jianchun Chu and Man-Chun Lee) [arXiv:2210.08261]
The Gauss-Bonnet inequality beyond aspherical conjecture. Math. Ann. 386 (2023), no. 3-4, 2321-2347.
Positive mass theorem with arbitrary ends and its application. Int. Math. Res. Not. IMRN (2023), no. 11, 9880-9900.
Stability of Edelen-Wang's Bernstein type theorem for the minimal surface equation. (with Guosheng Jiang and Zhehui Wang) J. Funct. Anal. 284 (2023), no. 6, Paper No. 109821, 27 pp.
Incompressible hypersurface, positive scalar curvature and positive mass theorem. (with Jie Chen , Peng Liu and Yuguang Shi) [arXiv:2112.14442]
Area and Gauss-Bonnet inequalities with scalar curvature. (with Misha Gromov) Comment. Math. Helv. 99 (2024), no. 2, 355-395.
Rigidity results for complete manifolds with nonnegative scalar curvature. J. Differential Geom. 125 (2023), no. 3, 623-644.
Liouville type theorems for minimal surface equations in half space. (with Guosheng Jiang and Zhehui Wang) J. Differential Equations 305 (2021), 270-287.
Regularity of inverse mean curvature flow in asymptotically hyperbolic manifolds with dimension 3. (with Yuguang Shi) Sci. China Math. 64 (2021), no. 6, 1109-1126.
Width estimate and doubly warped product. Trans. Amer. Math. Soc. 374 (2021), no. 2, 1497-1511.
On the fill-in of nonnegative scalar curvature metrics. (with Wenlong Wang, Guodong Wei and Yuguang Shi) Math. Ann. 379 (2021), no. 1-2, 235-270.
Rigidity of area-minimizing 2-spheres in n-manifolds with positive scalar curvature. Proc. Amer. Math. Soc. 148 (2020), no. 8, 3479-3489.
Characterization of large isoperimetric regions in asymptotically hyperbolic initial data. (with Otis Chodosh, Michael Eichmair and Yuguang Shi) Comm. Math. Phys. 368 (2019), no. 2, 777-798.

Seminars

Geometric Analysis Seminar