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I was 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, from 2007-11. My postdoctoral sponsor was 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 research program studies what kinds of dynamical behaviour we can rigorously understand. In particular, I look at three types of dynamical behavior arising from determinisitic physical systems involving hyperbolicity and chaos. The first behavior arises in leaky dynamical systems, where trajectories can escape from phase space. Systems that exhibit this behavior are also known as dynamical systems with holes, and they arise naturally when modeling physical environments where mass or energy may be lost. The second behavior that I examine is metastability, which may be viewed as the interaction of several leaky systems linked together. A typical trajectory will spend a long time in each leaky system (metastable state) before moving to another, and then repeat this behavior. The third behavior also arises in systems with a separation of time scales, where some variables change slowly while others change rapidly. In particular, I study the motions of a massive adiabatic piston bombarded by fast moving gas particles. 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 helped organize. (Past schedules: 2007-08, 2008-09, 2009-10, and 2010-11.) 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