NEW                                Challenges in Geometry, Analysis and Computation: High Dimensional Synthesis                         NEW                                                        A Conference in Honor of Ronald R.Coifman, Peter W. Jones and Vladimir Rokhlin
                                                                     June 4-6, 2012 at Yale University, New Haven, CT
                                                                                (Conference starts Sunday, June 3rd at 4PM.)
   
 Download the CJR Poster (click here)                                                                                                                                Registration now open!   

Click here for some more info.

My research lies at the overlap of Nonlinear Fourier Analysis/Harmonic Analysis and Nonlinear Partial Differential Equations integrating into it tools from geometry, gauge theory and probability.  In recent years, its main focus has been to investigate:
(i) the behavior of solutions to nonlinear dispersive equations arising as models both in Physics and in Geometry -both from a deterministic and nondeterministic viewpoint and 
(ii) wave-packet analysis techniques and multilinear singular pseudodifferential operators naturally arising in Analysis and PDE.
These are two areas that intimately relate to each other by way of decompositions, frequency interactions analysis and nonlinear estimates.

Here are some of my Papers and Preprints.