
Uday Banerjee is interested in the analysis of numerical methods to approximate solutions, eigenvalues and eigenvectors of elliptic PDEs. Presently, he is studying various aspects of Meshless Methods and Generalized Finite Element Methods. His interests also include elliptic PDEs with nonsmooth coefficients. 

Adam Lutoborski studies weak convergence methods in nonlinear variational problems. In particular, he is interested in homogenization methods and microstructure in nonlinear elasticity. 

Minghao Rostami is interested in linear stability analysis for largescale dynamical systems and numerical methods for the linear systems arising from it. 

Lixin Shen is interested in applied and computational harmonic analysis. He is currently using wavelets analysis for digital image processing. He is also a member of the interdisciplinary Soft & Living Matter group at Syracuse University. 

Yi (Grace) Wang's research interests lie in applied harmonic analysis, machine learning and signal and image processing. In particular, she is interested in modeling highdimensional data clouds with appropriate (locally) lowdimensional structures as well as relevant applications to real data, including lightcurves in astronomy, medical signals, images of paintings and hyperspectral images and videos of remote sensing. 