You can get a quick summary of some of the recent research interests of the
School of Mathematics faculty and graduate students by following the two
Arxiv links, one for Mathematics .
As I write this, the lead article is by a graduate student, Rafael Komendarczyk.
Professors Carlen and Ganbo's recent Annals of Math article on the use of the Wasserstein metric in PDEs appears halfway down the list, as does Professor Croot's Annals of Math paper on coloring fractions.
This is interesting, but not complete, picture of research at GT Math. It doesn't reveal the
papers posted to the Non linear Science ArXiv. Nor do all professors actively use the ArXiv
to post their papers.