KUI WANG （王 奎）

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

EMAIL:kuiwang(at)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

(26) Schwarz symmetrizations in parabolic equations on complete manifolds (with Haiqing Cheng and Tengfei Ma).International Journal of Mathematics(to appear). arXiv:2110.09736 (2021).

(25) An upper bound for the first nonzero Steklov eigenvalue (with Xiaolong Li and Haotian Wu).ESAIM Control Optim. Calc. Var.31(2025), Paper No. 5, 13 pp.

(24) Isoperimeric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces (with Yifeng Meng),Calculus of Variations and Partial Differential Equations63(2024), no. 5, Paper no. 5, Paper No. 113, 12pp.

(23)On a class of quasi-linear operators on smooth metric measure spaces (with Xiaolong Li and Yucheng Tu),Communications in Analysis and Geometry32(2024), no. 10, 2757-2803.

(22) Lower bounds for the first eigenvalue of the p-Laplacian on quaternionic Kahler manifolds(with Shaoheng Zhang),Journal of Geometric Analysis34(2024), no. 5, Paper No. 123, 19 pp.

(21) On the second Robin eigenvalue of the Laplacian (with Xiaolong Li and Haotian Wu),Calculus of Variations and Partial Differential Equations62(2023), no.9, Paper No. 256.

(20) Lower bounds for the first eigenvalue of p-Laplacian on Kaehler manifolds (with Shaoheng Zhang),Proceedings of the American Mathematical Society151(2023), no.6, 2503-2515.

(19) Eigenvalue estimates on quaternion-Kaehler manifolds (with Xiaolong Li),Journal of Geometric Analysis33(2023), no. 3, Paper No. 85, 20 pp.

(18) Comparison results for Poisson equation with mixed boundary condition on manifolds (with Haiqing Cheng and Tengfei Ma),Results Math.78(2023), no. 1, Paper No. 16, 13pp.

(17)A quantitative Bucur-Henrot inequality (with Haotian Wu),Mathematische Nachrichten295(2022), no. 12, 2436-2451.

(16) Sharp lower bound for the first eigenvalue of the weighted p-laplacian II (with Xiaolong Li),Mathematical Research Letters28(2021), no. 5, 1459-1479.

(15) Lower bounds for the first eigenvalue of Laplacian on Kaehler manifolds (with Xiaolong Li),Transactions of the American Mathematical Society374(2021), no.11, 8081-8099.

(14) Iterior estimate of harmonic heat flow (with Xian-Gao Liu and Zixuan Liu),International Journal of Matematics32(2021),no.7, Paper No.2150039, 14 pp.

(13) First Robin eigenvalue of the p-Laplacian on Riemannian manifolds (with Xiaolong Li),Mathematische Zeitschrift298(2021),no.3-4,1033-1047.

(12) Sharp lower bound for the first eigenvalue of the weighted p-laplacian (with Xiaolong Li),Journal of Geometric Analysis31(2021), no.8,8686-8708.

(11) Parabolic frequency monotonicity on compact manifolds (with Xiaolong Li),Calculus of Variations and Partial Differential Equations58 (2019), no. 6, Art. 189, 18.

(10) An upper bound for the second Neumann eigenvalue on Riemannian manifolds.Geometriae Dedicata201 (2019), 317-323.

(9) Four-dimensional gradient shrinking solitons with positive isotropic curvature (with Xiaolong Li and Lei Ni),International Mathematics Research Notices2018, no. 3, 949-959.

(8) Estimates for the first eigenvalue forp-Laplacian with mixed boundary conditions.Journal of Mathematical Inequalities12(2018), no. 1, 285-302.

(7) An alternative proof of lower bounds for the first eigenvalue on manifolds (with Yuntao Zhang),Mathematische Nachrichten290(2017), no. 16, 2708-2713.

(6) Nonparametric hypersurfaces moving by powers of Gauss curvature (with Xiaolong Li),Michigan Mathematical Journal66(2017), no. 4, 675-682.

(5) Moduli of continuity for viscosity solutions on manifolds (with Xiaolong Li),Journal of Geometric Analysis27(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 Mathematics287(2): 465-484, 2017.

(3) Isoperimetric comparisons via viscosity (with Lei Ni),Journal of Geometric Analysis26(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 Series36(10):5579-5594, 2016.

(1) Singularities of mean curvature flow and isoperimetric inequalities inH^3.Proceedings of the American Mathematical Society143(6):2651-2660, 2015.

• PREPRINTS

(6) The Robin heat kernel and its expansion via Robin eigenfunctions (with Y. Meng), arXiv:2505.15092.

(5) Point singularties of solutions to stationary incompressible MHD Equations (with Y. Wang and S. Zhang), arXiv: 2504.09607.

(4) An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space (with Y. Gao), arXiv: 2503.15813.

(3) Einstein manifolds of negative lower bounds on curvature operator of the second kind (with H. Cheng), arXiv: 2411.13912.

(2) Robin heat kernel comparison on manifolds (with X. Li), arXiv:2208.13402 (2022).

(1) The second Robin eigenvalue in non-compact rank-1 symmetric spaces (with X. Li and H. Wu), arXiv:2208.07546 (2022).

GRANTS

(6) Natural Science Foundation of Jiangsu Province Grant, No. BK20231309, 2023

(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)