Office: Room 4126, Grace E. Harris Hall
B.S., Applied Mathematics with a specialization in computing, University of California at Los Angeles, 2002
M.S., Mathematics, Courant Institute (New York University), 2004
Ph.D., Mathematics, Courant Institute (New York University), 2007 (Advisor: Dr. Daniel Tranchina)
My primary research area is computational neuroscience, with a specific focus on the variability, or fluctuations, of cortical neural network activity and their dynamics with sensory inputs. There are mathematical issues that arise, leading to challenges in: developing numerical methods to solve probability density equations, large-scale (Monte-Carlo) simulations, as well as applied analysis to describe such complicated stochastic systems. A variety of models are required for different purposes because there is a wide range of biological complexity. I have worked on: noisy neural oscillators, spiking stochastic networks, detailed biophysical cellular modeling, and questions regarding coding of sensory signals.