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. Click on this page for some online resources.
Previously, I worked on models in the financial services industry that was primarily data driven. My work has always maintained a focus on statistical dynamics and how to better understand complex phenomena when having data is not good enough.
This page does not reflect an official position of Virginia Commonwealth University
VCU recently started a SIAM Student Chapter. I am currently the faculty advisor, email me if you are intersted in participating!