The Applied Mathematics Graduate Group is an interdisciplinary group of over 90 faculty and is recognized for the mathematical rigor of its programs and its dynamic research atmosphere. The program is targeted for students who are attracted to mathematics, but who also wish to apply mathematical ideas to advance our understanding of science and engineering. Students gain advanced knowledge of differential geometry, topology, differential equations, solid and fluid dynamics, biology, atmospheric sciences, mechanics, optimization and control, theoretical chemistry, computer and engineering sciences, mathematical physics, signal and image processing, harmonic analysis, numerical analysis and nonlinear partial differential equations, and applied mathematical analysis. Students graduate with the qualitative and quantitative skills necessary for professional research and teaching in applied mathematics.<br><br>The Department faculty have research interests including algebra, analysis, applied mathematics, combinatorics, differential geometry, geometric topology, harmonic analysis, mathematical biology, mathematical physics, numerical analysis, partial differential equations, optimization and control, quantum computation and representation theory. Mathematics graduate students can go on to do advanced work in any of the fields represented by the Department's faculty, including both theoretical and applied areas.