We will survey a broad spectrum of current research in harmonic analysis and explore the myriad connections to areas such as number theory, combinatorics, ergodic theory, and operator theory. Researchers in these areas will have an opportunity to meet, exchange ideas, and investigate new directions in a research-intensive environment. Specific areas of concentration will include:

Classical Harmonic Analysis:
Kakeya, restriction and Bochner-Riesz conjectures, Radon transforms, multilinear operators, topics in wave equations, discrete analogs of continuous objects, Fourier-analytic methods in metric geometry and geometric measure theory.

Operator Theory and Function Theory:
Fourier frames, interpolation, sampling, and signal processing; Carleson measures for Dirichlet spaces, Hankel operators and the Nehari problem in several complex variables.

Arithmetic Combinatorics:
Additive number theory, including topics related to Szemeredi's theorem on arithmetic progressions and Freiman's theorem, combinatorial methods in analytic number theory, ergodic Ramsey theory, sum-product problems, distance sets in combinatorics and analysis, the arithmetic approach to the Kakeya conjecture.
The program activities will include thematic workshops, advanced graduate courses, research and working seminars. We will also host a number of long-term and short-term participants. We particularly encourage graduate students and postdoctoral fellows to attend.