Doctor of Philosophy in Applied Mathematics

The PhD program in applied mathematics is designed for students who want to pursue research in applied math at the highest level. The PhD program prepares students for independent research and emphasizes flexibility in adapting research areas to current opportunities. PhD students can obtain a master's degree after successful completion of the first year of the PhD program.

The applied mathematics faculty is involved in research that uses a variety of mathematical methods associated with asymptotic analysis, bifurcation theory, graph theory, scientific computing, ordinary and partial differential equations, probability and statistics, singular perturbations, stability theory, and stochastic processes.

These methods are employed in the investigation of problems arising in areas like biomechanics, combustion theory, complex networks, diffusion processes, fluid mechanics, geophysics, interfacial phenomena, materials science, molecular biology, neurobiology, reactor theory, solid mechanics, statistical mechanics, transport theory, and wave phenomena.

Successful applicants typically have good grades in relevant mathematics courses, good GRE quantitative scores, and strong letters of recommendation.

Relevant courses that we look for are:

Advanced calculus
Real analysis
Partial differential equations
Linear algebra
Complex analysis
Numerical methods or their equivalent

The only minimum we set is for the TOEFL, on which an international applicant must score 600 or higher on the paper-based test, 250 or higher on the computer-based test, and 100 or higher on the Internet-based test. On the IELTS, an applicant must score 7.0 or higher. There is no minimum requirement for GRE scores.