The mathematics department at UCLA has a large and internationally recognized research group in analysis and partial differential equations, working in such areas as harmonic analysis, nonlinear dispersive and wave equations, microlocal analysis, random matrix theory, and complex analysis, free boundary problems, and optimal transport.

The group holds several regular seminars for both faculty and graduate students, including a joint analysis seminar with Caltech and co-hosting the biannual Southern California Analysis & PDE conference with UC San Diego and UC Irvine.