April 24, 2014


January-June 2008

Supported by:
Organizing Committee:
Alex Iosevich (University of Missouri-Columbia)
Izabella Laba
(UBC) - lead organizer

Michael Lacey (Georgia Institute of Technology)
Eric Sawyer (McMaster University)
Scientific committee:
Jean Bourgain (IAS)
Michael Christ (UC Berkeley)
John Friedlander (University of Toronto)
W. Timothy Gowers (University of Cambridge)
Andrew Granville (Université de Montréal)
Ben Green (University of Bristol)
Bryna Kra (Northwestern University)
Kristian Seip (NTNU)
József Solymosi (UBC)
Elias Stein (Princeton University)
Terence Tao (UCLA)

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Outline of Scientific Activities

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.

Coxeter Lecture Series

February 25-27, 2008
Jill Pipher
, Brown University

Distinguished Lecture Series

April 9,10,11, 2008 -- 3:30:p.m.
Tim Gowers
, University of Cambridge

Conferences and workshops

January 7-11, 2008
Workshop on Recent Advances in Operator Theory and Function Theory

Organizers: Michael Lacey (Georgia Tech), Eric Sawyer (McMaster), Kristian Seip (NTNU)

February 19 - 23, 2008
Workshop on Harmonic Analysis

Organizers: Alex Iosevich (Missouri-Columbia), Malabika Pramanik (UBC)

April 5-13, 2008
Clay-Fields Conference on Additive Combinatorics, Number Theory, and Harmonic Analysis

Co-organized by the Clay Mathematics Institute.
Organizers: David Ellwood (CMI), Andrew Granville (Montreal), Bryna Kra (Northwestern), Izabella Laba (UBC), Trevor Wooley (Michigan)

Advanced graduate courses

Function and Operator Theory, Eric Sawyer (McMaster)
Tuesdays 10:10 - 12:00, Thursdays 10:10 - 12:00

Analytic Number Theory, John Friedlander (Toronto)
Mondays 1:10 - 4:00 p.m., Wednesdays 11:10 - 12.00 p.m.

Working and Research Seminars

Short-term visitors will be invited to speak in a weekly research seminar. There will also be a working seminar, open to all but directed mainly at the graduate students and postdoctoral fellows in attendance, providing an opportunity for them to present research papers and discuss research topics of current interest.

Apply to the Program:

All scientific events are open to the mathematical sciences community. Visitors who are interested in office space or funding are requested to apply by filling out the application form. Additional support is available (pending NSF funding) to support junior US visitors to this program. Fields scientific programs are devoted to research in the mathematical sciences, and enhanced graduate and post-doctoral training opportunities. Part of the mandate of the Institute is to broaden and enlarge the community, and to encourage the participation of women and members of visible minority groups in our scientific programs.

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