- July 2016 -present, Postdoctoral Fellow, Mathematical Sciences Institute, ANU, Australia
- July 2014 - June 2016, Research Associate, University College London, UK
- PhD, Mathematics, Tsinghua Univeristy (Beijing), July 2014
- B.S., Mathematics and Applied Mathematics, Tsinghua Univeristy (Beijing), July 2009
My research area is in Differential Geometry and Partial Differential Equations. My recent projects include:
- Inverse curvature flow and its applications.
- Volume preserving curvature flow in Euclidean and Hyperbolic space.
- Laplacian flow in G2 geometry.
- New pinching estimate for Inverse curvature flow in space form, arXiv:1709.02546
- Quermassintegral preserving curvature flow in Hyperbolic space (with Ben Andrews), arXiv:1708.09583
- Volume preserving flow by powers of k-th mean curvature (with Ben Andrews), arXiv:1708.03982
- On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space, arXiv:1701.04964
- Surfaces expanding by non-concave curvature functions (with Haizhong Li & Xianfeng Wang), arXiv:1609.00570
- Stability of torsion-free G_2 structure along the Laplacian flow (with Jason D. Lotay), to appear in J. Differential Geom., [arXiv:1504.07771]
- Laplacian flow for closed G_2 structures: Real Analyticity (with Jason D. Lotay), to appear in Comm. Anal. Geom., Vol.27, no. 2, 2019, [arXiv:1601.04258].
- On inverse mean curvature flow in Schwarzschild space and Kottler space (with Haizhong Li), Calc.Var.Partial Differ. Equ, (2017) 56: 62.
- Laplacian flow for closed G_2 structures: Shi-type estimate, uniqueness and compactness (with Jason D. Lotay), Geometric and Functional Analysis, 2017, 27(1), 165-233.
- On lower volume growth estimate for f-minimal submanifolds in gradient shrinking soliton, Int Math Res Notices, 2017 (9): 2662-2685.
- Smooth compactness of f-minimal hypersurfaces with bounded f-index (with Ezequiel Barbosa & Ben Sharp) , Proc. Amer. Math. Soc., 2017, 145(11), 4945–4961
- Inequalities of Alexandrov–Fenchel type for convex hypersurfaces in hyperbolic space and in the sphere (with Changwei Xiong), Pacific Journal of Mathematics., 277 (2015), No. 1, 219–239
- Rigidity Theorems for diameter estimates of compact manifold with boundary (with Haizhong Li), Int. Math. Res. Notices., 2015 (11): 3651-3668.
- f-minimal surface and manifold with positive m-Bakry-Emery Ricci curvature (with Haizhong Li), The Journal of Geometric Analysis, 2015, 25(1): 421-435.
- Non-collapsing for hypersurface flows in the sphere and hyperbolic space (with Ben Andrews, Xiaoli Han & Haizhong Li), Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2015, XIV (1): 331-338
- A geometric inequality on hypersurface in hyperbolic space (with Haizhong Li & Changwei Xiong), Advances in Mathematics., 2014, 253(1):152–162.
- F-stability for self-shrinking solutions to mean curvature flow (with Ben Andrews & Haizhong Li), Asian Journal of Mathematics, 18, No.5 (2014), 757-778.
- Classification and rigidity of self-shrinkers in the mean curvature flow (with Haizhong Li), Journal of the Mathematical Society of Japan, 2014, 66(3):709-734.
- Lower volume growth estimates for self-shrinkers of mean curvature flow (with Haizhong Li), Proc. Amer. Math. Soc., 2014, 142(9):3237-3248.
- The Gauss-Bonnet-Chern mass for graphic manifolds (with Haizhong Li & Changwei Xiong), Annals of Global Analysis and Geometry, 2014, 45(4):251–266.
- A note on Weingarten hypersurface in the warped product manifold (with Haizhong Li & Changwei Xiong) , International Journal of Mathematics, 2014, 25(14): 1450121, [Erratum], arXiv:1210.5699.