Associate Professor
About
Broadly speaking, my research is in the area of nonlinear partial differential equations. More precisely, I have been focusing on equations modeling wave-type phenomena; these equations are often called nonlinear dispersive equations, which model systems from quantum mechanics, nonlinear optics, plasma physics, oceanography, and all the way to general relativity. Tools from harmonic analysis are particularly important in the analysis of such equations,combined with tools from PDE analysis and dynamical systems theory. Recently, I have been devoting considerable research effor to questions related to the statistical mechanics of nonlinear waves, which is also known as wave turbulence theory. Here, tools from probability (and sometimes other areas) are combined to the above PDE/harmonic analytic toolbox.
