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