ACM Ph.D. students may be advised by any faculty member of the Department of Mathematics. It is also possible to have an advisor that is a facutly member in another department. In this case, it is required to have a faculty member of the Department of Mathematics as a co-advisor to chair the examination committees. This co-advisor may be an active participant in the student's dissertation research or may simply be an administrative monitor. Contact the ACM Director for details.
Faculty members with research activity that may be of interest to ACM Ph.D. students are listed below. Faculty members mainly responsible for the design and teaching of the ACM curriculum are marked with ✱.
Program Director: Ziad Musslimani
Mathematics Faculty:
Feng Bao ✱
stochastic differential equations, stochastic optimization, data assimilation
Martin Bauer ✱
infinite dimensional Riemannian geometry, shape analysis, manifolds of mappings,
geometric mechanics, medical imaging
Nick Cogan
biofilm dynamics, bacterial kinetics, fluid/structure interactions, boundary integral methods
Arash Fahim
probability, partial differential equations, stochastic control, financial mathematics
Aseel Farhat ✱
partial differential equations, Navier-Stokes equations, uncertainty, data assimilation
Kyle A. Gallivan
✱
computational mathematics, numerical and non-numerical algorithms, shape and signal analysis, optimization, high-performance computing and software
M. Yousuff Hussaini
✱
computational fluid dynamics, computational geosciences, nanofluid mechanics, optimization, data/image assimilation,
uncertainty quantification, evidence theory
Alec Kercheval
financial mathematics, dynamical systems, stochastic analysis, portfolio and credit risk, high frequency trading, machine learning, stochastic processes, mathematical economics.
Sanghyun Lee
✱
numerical analysis, finite element methods, scientific computing
Jerry Magnan
✱
financial mathematics and econophysics, machine learning and data mining,
dynamical systems, chaos, and complex systems, bifurcation analysis of
partial differential equations with applications, industrial mathematics
Washington Mio
pattern analysis, biomedical imaging, geometric topology
Ziad Musslimani
✱
partial differential equations, nonlinear waves in dispersive media
Giray Ökten
computational finance, Monte Carlo and quasi-Monte Carlo methods
Mark Sussman
✱
numerical analysis, fluid dynamics, deforming boundary problems, partial differential equation
Christopher Tam
✱
numerical analysis, applied mathematics, acoustics, fluid dynamics, partial differential equations
Lingjiong Zhu
probability, financial mathematics
Faculty from other departments that have supervised ACM Ph.D. students:
Adrian Barbu Department of Statistics, machine learning, medical imaging, computer vision
Gordon Erelebacher Department of Scientific Computing, computational mathematics, modeling and simulation of biological networks, machine learning, application of gaming and artificial intelligence
Anuj Srivastava Department of Statistics, shape and surface analysis, functional data analysis, applications of computational statistics
Tomasz Plewa Department of Scientific Computing, computational astrophysics
