I’m currently a PhD candidate at the School of Mathematical Sciences, Peking University, under the supervision of Prof. Bin Zhou.

In September 2025, I will begin my postdoctoral position at Bocconi University in Italy, working under the supervision of Prof. Antonio De Rosa.

My research interests lie primarily in geometric analysis and nonlinear PDEs, with a particular focus on Monge-Ampère type equations.

You can find me at Room 203, Building 19, Peking University.
Feel free to reach out to me via email at lingwang@stu.pku.edu.cn & lwmath@foxmail.com.
I’m always open to communication and collaboration!

This is my CV (Mar. 2025).

Publications

• Flat level sets of Allen-Cahn equation in half-space (with W. K. Du, and Y. Yang). Preprint. pdf  arXiv

• The partial Legendre transform in Monge-Ampère equations (with B. Zhou). Preprint. pdf

• Interior Hölder regularity of the linearized Monge-Ampère equation. Calc. Var. Partial Differential Equations, 64 (2025), no. 1, Paper No. 17. pdf  arXiv

• C^1,α regularity of variational problems with a convexity constraint (with B. Zhou). Preprint. pdf  arXiv

• Liouville theorems for a class of degenerate or singular Monge-Ampère equations (with B. Zhou). J. Geom. Anal., 34 (2024), no. 11, Paper No. 352. pdf  arXiv

• Singular Abreu equations and linearized Monge-Ampère equations with drifts (with Y. H. Kim, N. Q. Le, and B. Zhou). To appear in J. Eur. Math. Soc. (JEMS). pdf  arXiv

• Interior estimates for Monge-Ampère type fourth order equations (with B. Zhou). Rev. Mat. Iberoam., 39 (2023), no. 5, 1895–1923. pdf  arXiv

• Refined stability estimates in electrical impedance tomography with multi-layer structure (with H. G. Li, and J. -N. Wang). Inverse Probl. Imaging, 16 (2022), no. 1, 229–249. pdf

• Improving photocatalytic water reduction activity for In₂TiO₅ by loading metal cocatalysts (with K. Song, J. Yang, Y. Sun, Z. Y. Wang, R. H. Cong, and T. Yang). Journal of Alloys & Compounds, 2015, 646: 277-282. pdf

Notes

• A higher-dimensional partial Legendre transform pdf
• The Wiener test and potential estimates for quasilinear elliptic equations pdf
• The Hessian of support functions on round sphere pdf
• A calculation for the third fundamental form pdf
• An estimate for the Laplacian of Pick invariant pdf
• Boundary Hölder regularity of uniformly elliptic equations with drifts pdf
• Nonlinear Analysis homework ExI ExII pdf
• Bernstein problem pdf
• Affine Bernstein problem pdf
• Navier-Stokes equation (in Chinese) pdf
• Abstract algebra II (in Chinese) pdf
• Topics in Geometry homework 1 2

Teaching

Interesting References

Last updated: 2025. 3. 24