Below are a set of projects that my group is currently involved in. If you are an interested student, please contact me as some of these projects are more active than others.

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Geometry and Control of Time-Varying Networks
This research focuses on the broad concept of developing geometric techniques to control dynamical systems often represented, at a high-level, as weighted graphs that evolve over time. While the focus of this research is focused on developing underlying (non-application specific) mathematical theory with breadth and broadness, we use such work to launch into varying applications by reconciling problem details to fundamentals related to networks. Often, this forms separate projects with their own expertise and detailed scope as seen below.

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Interactive Control Towards Vision and Learning
This research focuses on develop interactive control based approaches to a variety of real-time systems. Here, we extract necessary signatures and estimate dynamics of the intended system vi image sensors. Examples of such work in this area includes the usage of developing control-theoretic principles to allow for human-user computer interaction as well as interactive machine learning. Applications of this research span several areas that with a primary focus on autonomous systems.

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Heterogeneity and Cellular Differentiation
This research focuses on notion of robustness, heterogeneity, cellular organization, and phase changes which are ubiquitous concepts that are of significance in order to understand dynamical biological systems. In particular, feedback loops are essential to the function of biological mechanisms and systems that arise from deliberate Darwinian-like principles. This leads one to heterogeneity of cellular population. Here, we are interested in developing underlying biological theory and fundamental “laws” of cancer.

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Epidemiology Contagion (Risk) Dynamics
This research focuses on how the recent rise of social mediums and rapid dissemination of information informs and affects public perception. We are particular interested in the spread of viral information that is often debunked or misinterpreted as it relates to patient decisions that negatively affect the health landscape as well as broader national security. Here, we seek to develop a broader understanding of the entanglement of social interaction and information mobility.

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