Differential geometry, applied analysis, partial differential equations, complex analysis, geometric function theory, spectral theory, and mathematical physics.
David BorthwickSpectral theory, global and geometric analysis, mathematical physics Personal website: http://www.math.emory.edu/~davidb/ 

Maja TaskovicNonlinear kinetic equations, dispersive partial differential equations Personal website: http://www.math.emory.edu/~mtaskov/ 

Yiran WangMicrolocal analysis, inverse problems, integral geometry, spectral and scattering theory Personal website: http://www.math.emory.edu/~ywan250/ 

Shanshuang YangQuasiconformal mappings, complex analysis, geometric function theory Personal website: http://www.math.emory.edu/~syang/ 