Research

Research Interests

My primary research interests lie in Partial Differential Equations (PDEs) and Microlocal Analysis.

I am particularly interested in the analysis of singularity propagation in physical systems and the construction of parametrices for operators with nonsmooth coefficients. 

I am also interested in numerical methods for PDE, such as finite element methods, and their applications to various problems.

You can find my CV here, and my research statement here.

Publications

• (With A. Mazzucato) Microlocal Analysis of Hyperbolic Viscoelastic Equation with Non-smooth Coefficients, in progress. A draft version is available here.

• (With F. Wang) A discontinuous Galerkin method for an elliptic hemivariational inequality for semipermeable media, Applied Mathematics Letters, 109(2020), pp. 1-8. https://doi.org/10.1016/j.aml.2020.106572