Siyuan Lu

Hill Assistant Professor

Department of Mathematics

Rutgers University

Hill Center 515

Piscataway, NJ 08854-8019

Telephone: 848-445-7968


My research interests are Partial Differential Equations, Geometric Analysis, Geometric Flows and General Relativity. You can find my CV here.


Research Publication:

1. Curvature estimates for immersed hypersurfaces in Riemannian manifolds (with P. Guan),

Invent. Math. 208 (2017), no. 1, 191-215.

2. Inverse curvature flow in anti-de Sitter-Schwarzschild manifold,

to appear in Comm. Anal. Geom. arXiv: 1609.09733.

3. On Weyl's embedding problem in Riemannian manifolds,

4. Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature (with P. Miao),

to appear in J. Differential Geom. arXiv:1703.08164.

5. Existence and nonexistence to exterior Dirichlet problem for Monge-Ampere equation (with Y.Y. Li),

Calc. Var. Partial Differential Equations 57 (2018), no. 6, Art. 161, 17 pp.

6. Variation and rigidity of quasi-local mass (with P. Miao),


Teaching:

Math 423 Fall 2018

Math 252 Spring 2018

Math 421 Spring 2018

Math 244 Fall 2017