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Yong Wei (韦勇) School of Mathematical
Sciences, Office:
管理科研楼1305 |
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Employment 1.
Feb
2020 – present, Professor (特任教授),
University of Science and Technology of China, P. R. China 2.
Jan
2019 – Feb 2020, ARC Discovery Early Career Researcher, Australian National
University, Australia 3.
Jul
2016 – Dec 2018, Postdoctoral Fellow, Australian National University,
Australia 4.
Jul
2014- Jul 2016, Research Associate, University College London, United Kingdom Education 1.
Jul
2014, PhD in Mathematics, Tsinghua University, Beijing. Supervisor: Prof. Haizhong
Li. 2.
Jul
2009, B.S. in Mathematics, Tsinghua University, Beijing. Teaching 1.
中法班分析IV习题课
- 2022春
2.
科学与社会新生研讨课
- 2021级 3.
教过的课程:
微分几何(2021秋、2020
秋)；微分方程II(H) (2021春、2020春)；中法班复分析习题课 - 2021秋；科学与社会新生研讨课(
2020 级)；
纯粹数学前沿( 2020 夏) Research
Research interest: Differential geometry and geometric analysis. Recent
research projects include geometric flows of G2 structures, geometry flows of
hypersurfaces, and their applications in geometry and topology.
Survey articles
1.
Volume preserving flow and geometric inequalities (with Ben Andrews),
``Proceedings of the ICCM 2018” [pdf]
2.
Laplacian flow for closed G2 structures, In:
Karigiannis S., Leung N., Lotay J. (eds)
Lectures and Surveys on G2-Manifolds and Related Topics. Fields Institute Comm., vol 84,
2020. Springer. [pdf]
Selected research papers [A full list of my publications can be found in MathSciNet]
1.
Shifted inverse curvature
flows in hyperbolic space
(with Xianfeng Wang and Tailong Zhou), arXiv:2004.08822
2.
On an inverse curvature flow in two-dimensional space forms
(with Kwok-Kun Kwong, Glen Wheeler, and Valentina-Mira Wheeler), Math.
Annalen online first (2021).
3.
Locally constrained curvature
flows and geometric inequalities in hyperbolic space (with Yingxiang Hu and Haizhong Li), Math.
Annalen. 382,
1425-1474 (2022)
4.
A fully nonlinear locally constrained anisotropic
curvature flow (with Changwei Xiong), Nonlinear Analysis, 217,2022,
Article no. 112760.
5.
A volume-preserving
anisotropic mean curvature type flow (with Changwei Xiong), Indiana Univ.
Math. J., 70 (2021), 881-906.
6.
Volume preserving flow and
Alexandrov-Fenchel type inequalities in hyperbolic space (with Ben Andrews and Xuzhong Chen), J.
Euro. Math. Soc. , 23
(2021), 2467-2509.
7.
Volume preserving flow by
powers of kth mean curvature
(with Ben Andrews), J.
Differential Geom., 117(2021), no.2, 193-222.
8.
Contraction of surfaces in
hyperbolic space and in sphere (with Yingxiang Hu, Haizhong Li and Tailong Zhou), Calc.
Var. Partial Differential Equ.. 59(2020),
Article no. 172.
9.
Laplacian flow for closed G2
structures: Real Analyticity
(with Jason D. Lotay), Comm.
Anal. Geom., 27
(2019), no. 1, 73-109
10.
New pinching estimates for
inverse curvature flows in space forms, J.
Geom. Anal., 29 (2019), no.2, 1555-1570.
11.
Stability of torsion-free G2
structure along the Laplacian flow (with Jason D. Lotay), J.
Differential Geom., 111 (2019), no. 3, 495-526.
12.
Surfaces expanding by
non-concave curvature functions
(with Haizhong Li and Xianfeng Wang), Ann.
Global Anal. Geom., 55 (2019), no.2, 243-279.
13.
Quermassintegral preserving
curvature flow in hyperbolic space (with Ben Andrews), Geom.
Func. Anal., 2018, 28(5), 1183-1208.
14.
On the Minkowski-type
inequality for outward minimizing hypersurfaces in Schwarzschild space, Calc.Var.
Partial Differential Equ., (2018) 57:46.
15.
On inverse mean curvature flow
in Schwarzschild space and Kottler space (with Haizhong Li), Calc.
Var. Partial Differential Equ.,
(2017) 56: 62.
16.
Laplacian flow for closed G2 structures:
Shi-type estimate, uniqueness and compactness (with Jason D. Lotay), Geom.
Func. Anal., 2017, 27(1), 165-233.
17.
On lower volume growth
estimate for f-minimal submanifolds in gradient shrinking soliton, IMRN,
2017 (9): 2662-2685.
18.
Smooth compactness of
f-minimal hypersurfaces with bounded f-index (with Ezequiel Barbosa and Ben Sharp) , Proc.
Amer. Math. Soc., 2017, 145(11), 4945–4961
19.
A geometric inequality on
hypersurface in hyperbolic space (with Haizhong Li and Changwei Xiong),
Adv.
in Math., 2014, 253(1):152–162.
20.
F-stability for self-shrinking
solutions to mean curvature flow
(with Ben Andrews and Haizhong Li), Asian
J. Math., 18, No.5 (2014),
757-778.
Collaborators Ben Andrews (ANU), Ezequiel Barbosa
(UFMG), Xuzhong Chen (Hunan Univ.), Guangyue Huang (Henan Normal Univ.), Xiaoli Han (Tsinghua), Yingxiang Hu (Beihang Univ.), Kwok-Kun Kwong (Univ.
of Wollongong), Haizhong Li (Tsinghua), Jason
D. Lotay (Oxford), Ben
Sharp (University of Leeds), Xianfeng Wang
(Nankai), Glen Wheeler and Valentina-Mira Wheeler
(Univ. of Wollongong), Changwei Xiong
(Sichuan Univ.), Tailong Zhou (USTC),
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