My work utilizes the tools of applied mathematics --- scaling, asymptotics, and numerics --- to quantify the dynamics of soft materials and complex fluids, including colloidal dispersions, polymeric liquids, electrolytes, and biological (active) matter. Close collaboration with experimentalists is a prominent feature of my work. The hallmark of my research is to develop and analyze mathematical models to predict or explain non-intuitive transport or flow phenomena, such as anomalous particle movement in concentrated electrolytes, or negative viscosity of bacterial suspensions. The fundamental insights gained influence a range of applications from charge transport in organic semiconductors; active suspensions for drug delivery; and drag modification in particle sedimentation during hydraulic fracturing.

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