The main focus of research in our group is on applying asymptotic and computational methods to problems of interest for applications in physics, engineering, and biology. We investigate why microscale droplets are able to levitate over a surface of evaporating liquid and how inhaled respiratory droplets are deposited in the airways during transmission of COVID-19, develop models of electrical charge transport in liquid electrolytes, and use biophysical approaches to better understand the key steps in cellular lipid metabolism.  We have ongoing collaborations with mechanical engineers at SMU Lyle School of Engineering and Technical University of Darmstadt (Germany) and with cell biologists at Memorial Sloan Kettering Cancer Center. Group members are currently supported by the National Science Foundation (grants DMS-2009741, CBET-2042239, and DMS-1840260), University Research Council, and Hamilton Scholars Fund.