**Simon J. L. Billinge, Materials Science and Engineering**
Amorphous and nanostructured pharmaceuticals and molecular materials, methods for solving the nanostructure problem, nanoscale fluctuations in exotic electronic materials, nanostructured materials for energy and environmental remediation, software for complex modeling and nanostructure determination
**Liliana Borcea, Applied Mathematics**
Wave propagation in random media with applications to wave based imaging and free space optical communications; Inverse problems for hyperbolic, elliptic and parabolic partial differential equations; Data driven reduced order modeling and applications to inverse problems; Scientific computing
**Oleg Gang, Applied Physics**
Soft matter physics; programmable self-assembly of nanoscale systems; soft and biomaterials with tailored functions
**Kui Ren, Applied Mathematics**
Uncertainty quantification (UQ), reduced order models (ROMs), hyperbolic partial differential equations
**I. Cevdet Noyan, Materials Science and Engineering**
Characterization and modeling of mechanical and micromechanical deformation; residual stress analysis and nondestructive testing; x-ray and neutron diffraction, microdiffraction analysis
**Shanyin Tong, Applied Mathematics**
Applied and computational mathematics, in particular on uncertainty quantification, PDE-constrained optimization, optimization under uncertainty, rare events and inverse problems