UPDATE (May 2018): Math 828 will be postponed to the Spring semester 2019.
Course description (Andreas Seeger, Fall 2018): This is a topics course in Fourier Analysis. Topics may include oscillatory integrals, the roles of curvature in Fourier Analysis, oscillatory integral operators, Fourier restriction theorems, radial Fourier multipliers and space time estimates for the wave equation, Wolff-Bourgain-Demeter decoupling theory.
Serguei Denissov (Spring 2018): Previous description: We will cover some classical results in modern Harmonic analysis which might include: singular integrals on weighted spaces, H1-BMO duality, a.e. convergence of the Fourier series (Lusin's conjecture), applications to PDE.