Applied Mathematics (PhD, EngScD)

Applied Mathematics

Applied and Computational Mathematics. The program in Applied Mathematics encompasses both methodological approaches in applied and computational math, which are fundamental to modern applications, and domain specific applied mathematics in classical and emergent new field of physics, engineering, bio-engineering, bio-physics, and social sciences. Current research encompasses analytical and numerical analysis of deterministic and stochastic partial differential equations, numerical analysis, large-scale scientific computation, fluid dynamics, dynamical systems and chaos, inverse problems, algorithms for data and machine learning, and their applications. Physical science applications include quantum and condensed-matter physics, materials science, electromagnetics, optics and photonics, plasma physics, medical imaging, and the earth sciences (atmospheric, oceanic, climate science, and solid earth geophysics).

Atmospheric, oceanic, and earth physics. Current research focuses on the dynamics of the atmosphere and the ocean, climate modeling, cloud physics, radiation transfer, remote sensing, geophysical/geological fluid dynamics, and geochemistry. Four faculty members share appointments with the Department of Earth and Environmental Sciences.

The Ph.D. program prepares the student to work either independently or collaboratively as a researcher through an emphasis on deep mastery of methods of mathematical modeling, analysis, and computation.

Courses