KUI WANG （王 奎）

ADDRESS: School of Mathematical Sciences, Soochow University, Suzhou, 215006, China

EMAIL: kuiwang@suda.edu.cn

EDUCATION

Ph.D. in Mathematics

• Fudan University, Shanghai, China (2009-2015, Advisor: Xian-Gao Liu)

• University of California, SanDiego, USA (2012-2014, Advisor: Lei Ni)

EMPLOYMENT

• Associate Professor, Soochow University, 2018-Present

• Assistant Professor, Soochow University, 2015-2018

• Visiting Scholar, The University of Sydney, 2020.1-2020.3

• Visiting Scholar, Fudan University, 2020.10-2020.11, 2019.11, 2015.7

• Visiting Scholar, UC SanDiego, 2016.1-2016.2, 2017.7-2017.8

RESEARCH INTERESTS

Geometric Analysis: Differential Geometry and Partial Differential Equations, particularly in the following directions:

(1) Eigenvalue estimates on Riemannian and Kaehler manifolds

(2) Modulus of continuity estimates and applications

(3) Curvature flows, and their applications to geometry and topology

(4) Nonlinear parabolic and elliptic partial differential equations

(5) Isoperimetric inequalities on Riemannian manifolds

(6) Convex geometry and complex geometry

RESEARCH PAPERS

• PUBLICATIONS

(17) A quantitative Bucur-Henrot inequality (with Haotian Wu), Mathematische Nachrichten, to appear.(2020)

(16) Sharp lower bound for the first eigenvalue of the weighted p-laplacian II (with Xiaolong Li), Mathematical Research Letters, to appear. arXiv: 1911.04596 (2019).

(15) Lower bounds for the first eigenvalue of Laplacian on Kaehler manifolds (with Xiaolong Li), Transactions of the American Mathematical Society, 374(2021), no.11, 8081-8099.

(14) Iterior estimate of harmonic heat flow (with Xian-Gao Liu and Zixuan Liu), International Journal of Mathematics, 32(2021), no.7, Paper No.2150039, 14 pp.

(13) First Robin eigenvalue of the p-Laplacian on Riemannian manifolds (with Xiaolong Li), Mathematische Zeitschrift, 298(2021), no.3-4, 1033-1047.

(12) Sharp lower bound for the first eigenvalue of the weighted p-laplacian  (with Xiaolong Li), The Journal of Geometric Analysis, 31(2021), no.8, 8686-8708.

(11) Parabolic frequency monotonicity on compact manifolds (with Xiaolong Li), Calculus of Variations and Partial Differential Equations, 58 (2019), no. 6, Art. 189, 18.

(10) An upper bound for the second Neumann eigenvalue on Riemannian manifolds. Geometriae Dedicata, 201 (2019), 317-323.

(9) Four-dimensional gradient shrinking solitons with positive isotropic curvature (with Xiaolong Li and Lei Ni), International Mathematics Research Notices, 2018, no. 3, 949-959.

(8) Estimates for the first eigenvalue for p-Laplacian with mixed boundary conditions. Journal of Mathematical Inequalities, 12(2018), no. 1, 285-302.

(7) An alternative proof of lower bounds for the first eigenvalue on manifolds (with Yuntao Zhang), Mathematische Nachrichten, 290(2017), no. 16, 2708-2713.

(6) Nonparametric hypersurfaces moving by powers of Gauss curvature (with Xiaolong Li),  Michigan Mathematical Journal, 66(2017), no. 4, 675-682.

(5) Moduli of continuity for viscosity solutions on manifolds (with Xiaolong Li), Journal of Geometric Analysis, 27(1):557-576, 2017.

(4) A Gaussian upper bound of the conjugate heat equation along an extended Ricci flow (with Xian-Gao Liu), Pacific Journal of Mathematics, 287(2): 465-484, 2017.

(3) Isoperimetric comparisons via viscosity (with Lei Ni), Journal of Geometric Analysis, 26(4): 2831-2841, 2016.

(2) Serrin’s regularity results for the incompressible liquid crystals system (with Xian-Gao Liu, Jianzhong Min and Xiaotao Zhang), Discrete and Continuous Dynamical Systems Series A, 36(10):5579-5594, 2016.

(1) Singularities of mean curvature flow and isoperimetric inequalities in H^3. Proceedings of the American Mathematical Society, 143(6):2651-2660, 2015.

• PREPRINTS

(6) Schwarz symmetrizations in parabolic equations on complete manifolds  (with Haiqing Cheng and Tengfei Ma), arXiv:2110.09736 (2021).

(5) Comparison results for Possion equation with mixed boundary condition on manifolds (with Haiqing Cheng and Tengfei Ma), arXiv:2110.06814 (2021).

(4) Eigenvalue estimates on a quaternion-Kahler manifolds (with Xiaolong Li), arXiv:2105.06303 (2021).

(3) On a class of quasi-linear operators on smooth metric measure spaces (with Xiaolong Li and Yucheng Tu), arXiv:2009.10418 (2020).

(2) An upper bound for the first nonzero Steklov eigenvalue (with Xiaolong Li and Haotian Wu), arXiv: 2003.03093 (2020).

(1) On the second Robin eigenvalue of Laplace (with Xiaolong Li and Haotian Wu), arXiv: 2003.03087 (2020).

GRANTS

(5) China Postdoctoral Science Foundation Grant, No. 2017T100394, 2017

(4) Natural Science Foundation of China Grant, No. 11601359, 2016

(3) Natural Science Foundation of Jiangsu Province Grant, No. BK20160301, 2016

(2) China Postdoctoral Science Foundation Grant, No. 2016M591900, 2016

(1) Natural Science Foundation of Education Committee of Jiangsu Province Grant, No. 16KJB110018, 2016

REFERENCES

• XIAN-GAO, LIU (Fudan University, xgliu@fudan.edu.cn)

• LEI, NI (UC San Diego, lni@math.ucsd.edu)

• YING, ZHANG (Soochow University, yzhang@suda.edu.cn)