|My work focuses on the application of
techniques from nonlinear analysis to understand the behavior of
evolution equations, particularly those arising in optics and
biology. The mathematical core of this work is the development of
asymptotic theories, examination of well posedness, and demonstration
of the existence and stability of solitary wave solutions for the
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I completed Bachelor of Science degrees in both Mathematics and Biochemistry and Molecular Biology at the University of Massachusetts at Amherst in 1995. After receiving a Masters degree in Mathematics from UMASS in 1997, I completed a Ph.D. in Applied Mathematics at Brown University, working under the direction of Professor Christopher K.R.T. Jones. I spent most of 2000-2001 as a visitor at Los Alamos National Laboratory in the Mathematical Modeling and Simulation Group (T-7) and Center for Nonlinear Studies (CNLS) with supervision from Ildar Gabitov and Mac Hyman. After receiving my Ph.D. in 2002, I was a VIGRE Postdoctoral Fellow (2002-2005) and later a faculty affiliate (2005-current) in the Department of Applied Mathematics at the University of Colorado at Boulder, working in the Nonlinear Waves Research Group of Mark Ablowitz. Currently I am a postdoctoral fellow in the Ultrafast Nonlinear Optics Group of Fiorenzo Omenetto in the Department of Biomedical Engineering at Tufts University.