Yong Wei's Homepage
Yong Wei （韦勇）
School of Mathematical Sciences,
University of Science and Technology of China,
Hefei, 230026, P.R. China.
Email: yongwei at ustc.edu.cn
My personal page in USTC
Research interests
Differential Geometry and Geometric Analysis. My recent projects include Geometric curvature flows of hypersurfaces, and geometric flows in G2 geometry.
Employment
Professor (特任教授), University of Science and Technology of China (USTC), China, from Feb 2020.
ARC DECRA Fellow, Australian National University, Australia, Jan 2019 - Feb 2020.
Postdoctoral Fellow, Australian National University, Australia, July 2016 - Dec 2018. Supervisor: Ben Andrews
Research Associate, University College London, UK, July 2014 - June 2016. Supervisor: Jason D. Lotay
Education
PhD in Mathematics, Tsinghua Univeristy (Beijing), July 2014. Supervisor: Haizhong Li.
B.S. in Mathematics and Applied Mathematics, Tsinghua Univeristy (Beijing), July 2009.
Grants
National Key R and D Program of China 2021YFA1001800, 2021-2026.
ARC Discovery Early Career Researcher Award, 2019-2021 [Link]
Selected papers
See MathSciNet for a full list of publications, and arXiv for preprints.
A complete family of Alexandrov-Fenchel inequalities for convex capillary hypersurfaces in the half-space (with Yingxiang Hu, Bo Yang and Tailong Zhou), Math. Ann., 2024.
Volume preserving Gauss curvature flow of convex hypersurfaces in Hn+1 (with Bo Yang and Tailong Zhou), Trans. AMS, 377 (2024), no. 4, Pages 2821–2854.
On the mean curvature type flow for convex capillary hypersurfaces in a ball (with Yingxiang Hu, Bo Yang and Tailong Zhou), Calc.Var.Partial Differ. Equ., Vol. 62, no. 7, article no. 209, 2023.
Geometric inequalities involving three quantities in warped product manifolds (with Kwok-Kun Kwong), Advances in Math. ,Vol. 430, 1 Oct 2023, article no. 109213.
Shifted inverse curvature flows in hyperbolic space (with Xianfeng Wang and Tailong Zhou), Calc. Var. Partial Differ. Equ., vol. 62, no.3, article no.93, 2023
On an inverse curvature flow in two-dimensional space forms (with Kwok-Kun Kwong, Glen Wheeler, and Valentina-Mira Wheeler), Math. Ann. (2022) 384: 285-308.
Locally constrained curvature flows and geometric inequalities in hyperbolic space (with Yingxiang Hu and Haizhong Li), Math. Ann. (2022) 382: 1425–1474.
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.
A volume-preserving anisotropic mean curvature type flow (with Changwei Xiong), Indiana Univ. Math. J. 70 (2021), 881-906.
Volume preserving flow by powers of k-th mean curvature (with Ben Andrews), J. Differential Geom. 117 (2021), no. 2, 193--222.
Volume preserving flow and geometric inequalities (with Ben Andrews), in ``Proceedings of ICCM 2018'', published in Dec 2020 . [pdf]
Laplacian flow for closed G_2 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.
Laplacian flow for closed G_2 structures: Real Analyticity (with Jason D. Lotay), Comm. Anal. Geom., 27 (2019), no. 1, 73 - 109.
Stability of torsion-free G_2 structure along the Laplacian flow (with Jason D. Lotay), J. Differential Geom., 111 (2019), no. 3, 495--526 .
Quermassintegral preserving curvature flow in hyperbolic space (with Ben Andrews), Geom. Func. Anal. , 2018, 28(5), 1183-1208.
On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space, Calc. Var. Partial Differ. Equ.,(2018) 57:46
Laplacian flow for closed G_2 structures: Shi-type estimate, uniqueness and compactness (with Jason D. Lotay), Geom. Func. Anal., 27 (2017), no.1, 165 - 233.
On inverse mean curvature flow in Schwarzschild space and Kottler space (with Haizhong Li), Calc. Var. Partial Differ. Equ., (2017) 56: 62.
A geometric inequality on hypersurface in hyperbolic space (with Haizhong Li and Changwei Xiong), Advances in Math., 2014, 253(1):152–162.
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.), Bo Yang (CAS), Tailong Zhou (USTC)
Teaching (in USTC)
Differential Geometry - Fall 2021 / Fall 2020
Partial Differential equation II (H) - Spring 2021 / Spring 2020
Frontiers of Mathematical Sciences - Summer 2020 / Summer 2022 / Summer 2023
Differential manifolds (Exercise) for China-France Talent class - Fall 2022 / Fall 2023
Analysis IV (Exercise) for China-France Talent class - Spring 2022 / Spring 2023 / Spring 2024
Complex Analysis (Exercise) for China-France Talent class- Fall 2021 / Fall 2022 / Fall 2023
Freshman Seminar - 2020/ 2021
Summer School on Geometry of Submanifolds - July 2020, Tianyuan Mathematical Center in Southeast China / Xiamen University