**About me.** I am a professor of mathematics at the University of Michigan. Before moving to Michigan in 2018, I was an assistant professor at Georgia Tech (2014-2018), and a Courant Instructor/Simons Fellow at the Courant Institute of Mathematical Sciences, NYU (2011-2014). I defended my thesis in 2011 at UCLA under the supervision of Terence Tao. More about me can be found in my (often not up-to-date) Curriculum Vitae.

**Research.** I am interested in the mathematical analysis of nonlinear partial differential equations (PDE). My focus there is on equations that model “wave-type” phenomena (like waves in the ocean, atmosphere, quantum physics, light propagation, plasma theory, etc). Such equations are called *nonlinear dispersive or wave PDE*, and they show up in a wide range of fields of physics and applied sciences such as quantum mechanics, oceanography and atmospheric sciences, plasma theory, nonlinear optics, general relativity, to mention only a few.

Recently, I have been specifically interested in questions related to turbulence and non-equilibrium statistical mechanics for nonlinear wave systems. This goes by the name of *“wave turbulence theory”. *

My papers and expository notes can be found on my Research and Publications page.

**Teaching**. Please visit this page to know about my current and past teachings.

**Editorial work:** I am an editor of the newly established journal **Ars Inveniendi Analytica. **This is a peer-reviewed, open-access (completely free for authors and readers) journal in mathematical analysis. The founding philosophy can be found here. Please follow the following submission guidlines to submit a paper.