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Yong Wei (韦勇) School of Mathematical
Sciences, Office:
管理科研楼1305 CV (updated Feb 2021) |
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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. Current Teaching 1.
科学与社会新生研讨课，
2020 秋-2021春 2.
微分几何，2020
秋 3.
纯粹数学前沿，
2020 夏 4.
微分方程II(H), 2020 春 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.
Grant: ARC Discovery Early Career Researcher Award,
2019-2021.
Survey articles:
1.
Volume preserving flow and geometric inequalities (with Ben Andrews), to appear in ``Proceedings of the International Consortium of Chinese
Mathematicians, 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 Communications, vol 84,
2020. Springer, New York, NY. [pdf]
Selected research papers: [A full list of my publications can be found in my CV]
1.
Shifted inverse curvature flows in hyperbolic space (with Xianfeng Wang and Tailong Zhou), arXiv:2004.08822
2.
Locally constrained curvature flows and geometric
inequalities in hyperbolic space (with Yingxiang Hu and Haizhong Li), Mathematische Annalen.online
first (2020).
3.
A volume-preserving anisotropic mean curvature type flow (with Changwei Xiong), to appear in Indiana Univ. Math. J.
4.
Volume preserving flow and Alexandrov-Fenchel
type inequalities in hyperbolic space (with Ben Andrews and Xuzhong
Chen), to appear in Journal of the European Mathematical Society,
arXiv:1805.11776
5.
Volume preserving flow by powers of kth mean curvature (with Ben Andrews), Journal of Differential Geometry, 117(2021), no.2, 193-222.
6.
Contraction of surfaces in hyperbolic space and in sphere
(with Yingxiang Hu, Haizhong Li and Tailong Zhou), Calculus of Variations and Partial Differential Equations.Vol 59, Article no. 172 (2020).
7.
Laplacian flow for closed G2 structures: Real Analyticity (with Jason D. Lotay), Communications in Analysis and Geometry,
27 (2019), no. 1, 73-109
8.
New pinching estimates for inverse curvature flows in
space forms, Journal of Geometric Analysis, 29 (2019), no.2, 1555-1570.
9.
Stability of torsion-free G2 structure along the
Laplacian flow
(with Jason D. Lotay), Journal of Differential Geometry, 111
(2019), no. 3,
495-526.
10.
Surfaces expanding by non-concave curvature functions (with Haizhong Li and Xianfeng Wang), Ann. Global Anal. Geom., 55
(2019), no.2,
243-279.
11.
Quermassintegral preserving curvature flow in hyperbolic
space
(with Ben Andrews), Geometric and Functional Analysis,
2018, 28(5), 1183-1208.
12.
On the Minkowski-type
inequality for outward minimizing hypersurfaces in Schwarzschild space, Calculus of Variations and Partial Differential Equations,
(2018) 57:46.
13.
On inverse mean curvature flow in Schwarzschild space and
Kottler space
(with Haizhong Li), Calculus of Variations and Partial Differential Equations,
(2017) 56: 62.
14.
Laplacian flow for closed G2 structures: Shi-type
estimate, uniqueness and compactness (with Jason D. Lotay), Geometric and Functional Analysis,
2017, 27(1), 165-233.
15.
On lower volume growth estimate for f-minimal
submanifolds in gradient shrinking soliton, International Mathematics Research Notices,
2017 (9): 2662-2685.
16.
Smooth compactness of f-minimal hypersurfaces with
bounded f-index
(with Ezequiel Barbosa and Ben Sharp) , Proceeding of American Mathematical Society,
2017, 145(11), 4945–4961
17.
A geometric inequality on hypersurface in hyperbolic
space (with Haizhong
Li and Changwei Xiong), Advances in Mathematics,
2014, 253(1):152–162.
18.
F-stability for self-shrinking solutions to mean
curvature flow
(with Ben Andrews and Haizhong Li), Asian Journal of Mathematics, 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.), Haizhong Li (Tsinghua), Jason
D. Lotay (Oxford), Ben
Sharp (University of Leeds), Xianfeng Wang
(Nankai), Changwei Xiong
(ANU), Tailong Zhou (USTC),
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