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I am a postdoctoral fellow in the mathematics department at the University of Maryland, with partial support coming from a National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship. My postdoctoral sponsor is Dmitry Dolgopyat.
I received my BA from the University of California at Berkeley in 2002 and my Ph.D. from the Courant Institute (New York University) in 2007.
You can find out more about my academic career by viewing my CV.
My main research interests are dynamical systems, ergodic theory, and probability -- especially chaotic systems, hyperbolicity, and applications to mathematical physics. My current research projects fall within three categories: First, averaging over chaotic particle dynamics to understand the long-term behavior of physical models, with the eventual goal of mathematically describing the large time dynamics of an adiabatic piston separating two gas chambers. Second, understanding the existence and properties of physically meaningful escape rates and conditionally invariant measures for (piecewise smooth) hyperbolic systems with holes, including billiard models. Third, approximating invariant measures and dynamical properties for metastable systems. Please see my publications for more information.
In addition to research, I have extensive experience fulfilling administrative service and teaching and mentoring students. You may visit the website of the Maryland Dynamics Seminar, which I organize. (Past schedules: 2007-08 and 2008-09.) I was also an organizer for the Maryland Student Dynamics Seminar/RIT, a seminar aimed at graduate students, in 2007-08 and 2008-09. I maintain websites for many of the courses that I teach here.
My contact information can be found here.
Rien n'est beau que le vrai.
--Hermann Minkowski