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 INTEREST

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

(1) Eigenvalue estimates 

(2) Modulus of continuity estimates and applications

(3) Nonlinear parabolic and elliptic partial differential equations

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

(5) Isoperimetric inequalities

RESEARCH PAPERS

• PUBLICATIONS

(32) Robin heat kernel comparison on manifolds (with X. Li), Calculus of Variations and Partial Differential Equations 65(2026), Paper No.257, 24pp.

(31) The Robin heat kernel and its expansion via Robin eigenfunctions (with Y. Meng), Proceedings of the American Mathematical Society 154(2026), no.4, 1597-1608.

(30) An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space (with Y. Gao). Journal of Functional Analysis 290(2026), no.8, Paper No.111379.

(29) Einstein manifolds of negative lower bounds on curvature operator of the second kind (with H. Cheng). Mathematische Zeitschrift 312(2026), no. 2, Paper No. 46.

(28) Point singularities of solutions to the stationary incompressible MHD equation (with S. Zhang and Y. Wang). Journal of Differential Equations 454(2026), 113935.

(27) Einstein manifolds under cone conditions for the curvature of the second kind (with H. Cheng). Journal of Geometric Analysis 35(2025), no.12, Paper No.389.

(26) Schwarz symmetrizations in parabolic equations on complete manifolds (with H. Cheng and T. Ma). International Journal of Mathematics 36(2025), no. 10, Paper No.2550027. 

(25) An upper bound for the first nonzero Steklov eigenvalue (with X. Li and H. 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 Y. Meng), Calculus of Variations and Partial Differential Equations 63(2024), no. 5, Paper no. 5, Paper No. 113, 12pp.

(23) On a class of quasi-linear operators on smooth metric measure spaces (with X. Li and Y. Tu), Communications in Analysis and Geometry 32(2024), no. 10, 2757-2803. 

(22) Lower bounds for the first eigenvalue of the p-Laplacian on quaternionic Kahler manifolds (with S. Zhang), Journal of Geometric Analysis 34(2024), no. 5, Paper No. 123, 19 pp. 

(21) On the second Robin eigenvalue of the Laplacian (with X. Li and H. Wu), Calculus of Variations and Partial Differential Equations 62(2023), no.9, Paper No. 256.

(20) Lower bounds for the first eigenvalue of p-Laplacian on Kaehler manifolds (with S. Zhang), Proceedings of the American Mathematical Society 151(2023), no.6, 2503-2515.

(19) Eigenvalue estimates on quaternion-Kaehler manifolds (with X. Li), Journal of Geometric Analysis 33(2023), no. 3, Paper No. 85, 20 pp.  

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

(17) A quantitative Bucur-Henrot inequality (with H. Wu), Mathematische Nachrichten 295(2022), no. 12, 2436-2451. 

(16) Sharp lower bound for the first eigenvalue of the weighted p-laplacian II (with X. Li), Mathematical Research Letters 28(2021), no. 5, 1459-1479.

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

(14) Iterior estimate of harmonic heat flow (with X. Liu and Z. Liu), International Journal of Matematics 32(2021), no.7, Paper No.2150039, 14 pp.

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

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

(11) Parabolic frequency monotonicity on compact manifolds (with X. 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 X. Li and L. 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 Y. Zhang), Mathematische Nachrichten 290(2017), no. 16, 2708-2713.

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

(5) Moduli of continuity for viscosity solutions on manifolds (with X. 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 X. Liu), Pacific Journal of Mathematics 287(2): 465-484, 2017.

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

(2) Serrin’s regularity results for the incompressible liquid crystals system (with X. Liu, J. Min and X. Zhang), Discrete and Continuous Dynamical Systems Series 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

(9) The Faber-Krahn inequality for p-Hermite operators (with X. Sun and A. Zhu), arXiv: 2609.01269.

(8) An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures (with X. Sun and A. Zhu), arXiv: 2608.08748.

(7) Faber-Krahn inequality of Robin eigenvalue of the weighted Laplacian (with D. Chen and A. Zhu), arXiv: 2607.06947 

(6) To 1/2-logconcavity and beyond: Geometric properties of Dirichlet eigenfunctions (with L. Qin and J. Sun), arXiv:2606.03684.

(5) An isoperimetric inequality for the second Robin eigenvalue of the weighted Laplacian (with Y. Gao and A. Zhu), arXiv:2602.19456.

(4) Cone conditions for the curvature operator of the second kind on Einstein manifolds (with H. Cheng), arXiv: 2601.06556. 

(3) Parabolic frequency on Gaussian spaces and unique continuation (with J. Sun), arXiv: 2512.10139.

(2) Sharp fundamental gap estimate on convex domains of Gaussian space (with J. Sun), arXiv:2509.14743.

(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)