I work on dynamical systems and partial differential equations arising in fluid mechanics, materials science and physical chemistry. My recent work has been on the scaling laws that appear in many guises in these areas. The main goal is to rigorously pin down these deceptively simple laws with methods from analysis and probability theory.
My formal education is in applied mathematics (Ph.D, Brown 2001), theoretical and applied mechanics (MS, Cornell 1996), and mechanical engineering (B.Tech, IIT Kharagpur, 1994). This was followed by temporary appointments at the Max Planck Institute for Mathematics in the Sciences, Leipzig (2000-1), and the University of Wisconsin, Madison (Van Vleck Asst. Prof, 2001-04). I returned to Brown as an Assistant Professor in July, 2004. I have also spent short stints at the University of Bonn, the University of Crete, and the IMA at the University of Minnesota.
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New Physical Sciences Faculty 2004
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