Our research and teaching activities focus on mathematical problems that arise in real-world applications. This involves the mathematical modeling of physical, biological, medical, and social phenomena, as well as the effective use of current and future computing resources for simulation, computation, data analysis, and visualization. Key areas of research in our group are the modeling of bio-films and of materials, computational neuroscience, traffic flow modeling and simulation, the numerical approximation of differential equations, and the solution of large systems of equations. The faculty and students in our group conduct research on many cross-disciplinary projects, including collaborations with biology, medicine, computer science, and mechanical, electrical, and nuclear engineering. Students conducting research on the mathematical modeling of real-world phenomena and the design of modern computational approaches receive a broad education and training in differential equations, computational mathematics, fluid dynamics, applied analysis, and specialized courses on topics like computational neuroscience, calculus of variations, kinetic equations, and other areas. Hands on research opportunities with modern hardware are provided by the Center for Computational Mathematics and Modeling.
Members of the Group:
- Sophia Blakely, Graduate Student
- Henry Brown, Graduate Student
- Yury Grabovsky, Professor
- Isaac Klapper, Professor
- Noa Kraitzman, Research Assistant Professor
- Zachary M. Miksis, Research Assistant Professor
- Sean Gillian Queisser, Professor, Director of Graduate Studies
- Benjamin Seibold, Professor
- Madison Shoraka, Graduate Student
- Daniel B. Szyld, Professor
- Jacob Samuel Woods, Graduate Student
- Nicole Zalewski, Graduate Student
In addition, a number of undergraduate student researchers are regularly involved in our research projects.