 I am an Assistant Professor of Mathematics in the Department of Mathematics at California State University, Fullerton. Research Interests: Neural action potentials are often called spikes because they tend to be strongly localized in time. A sequence of such spikes from a single neuron is called a spike train. The focus of my research is the multiscale and multivariate analysis of neural spike trains. I am interested in developing probabilistic models in the framework of point processes for such data. Skellam Process with Resetting (SPR), which I have developed in both single and multiple neuron cases, is an example of such stochastic processes. The "multiscale" part of my research focuses on developing methods which are computationally fast and are also capable of simultaneous modelling of neural phenomena from different time scales. I am also interested in applications of Fuzzy Set Theory in probability and statistics.
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