# Faculty Research - Applied Mathematics

Rafail Abramov, Ph.D. Rensselaer Polytechnic Institute, 2002. Statistical description of chaotic dynamical systems with many conserved quantities, information theory-based predictability, fluctuation-dissipation theorem and its geophysical applications, numerical methods and computational algorithms in these areas.

Gerard Awanou, Ph.D. University of Georgia, 2003. Numerical analysis of Partial Differential Equations.

Eugene M. Barston (Emeritus), Ph.D. Stanford University, 1964. Stability theory, fluid dynamics, plasma dynamics.

Neil Berger (Emeritus), Ph.D. Courant Institute of Mathematical Sciences, 1968. Elasticity, fluid mechanics.

Jerry Bona, Ph.D. Harvard University, 1971. Fluid mechanics; partial differential equations; numerical analysis; mathematical economics; oceanography, biology.

Alexey Cheskidov, Ph.D. Indiana University, 2004. Nonlinear PDE, fluid dynamics, and infinite-dimensional dynamical systems.

Mimi Dai, Ph.D. University of California - Santa Cruz, 2012. Partial differential equations, fluids dynamics, complex fluids.

Susan Friedlander (Emeritus), Ph.D. Princeton University, 1972. Mathematical fluid dynamics, partial differential equations.

Floyd Hanson (Emeritus), Ph.D. Brown University, 1968. Computational stochastic control; computational finance; computational biomedicine; stochastic manufacturing systems; scientific supercomputing; stochastic bioeconomics; asymptotics; industrial mathematics; numerical analysis.

Melvin Heard, Ph.D. Purdue University, 1967. Partial integro-differential equations.

Youngjoon Hong, Ph.D. Indiana Un iversity at Bloomington, 2015. partial differential equations, numerical analysis.

George Karabatsos, Ph.D. University of Chicago, 1998. My current research interests include Bayesian nonparametric and parametric mixture models for regression analysis, density estimation, causal analysis, meta-analysis, statistical decision-theory, model selection, order-restricted statistical inference, test score equating, item-response modeling, and cluster analysis.

Charles Knessl (Emeritus), Ph.D. Northwestern University, 1986. Asymptotic and perturbation methods; stochastic models; convection-diffusion problems; analysis of algorithms; financial mathematics.

Irina Nenciu, Ph.D. California Institute of Technology, 2005. Integrable systems, random matrices and mathematical physics.

David Nicholls, Ph.D. Brown University, 1998. Numerical Analysis and Applied PDE.

G V Ramanathan (Emeritus), Ph.D. Princeton University, 1965. Statistical mechanics, critical phenomena.

Roman Shvydkoy, Ph.D. University of Missouri, Columbia, 2001. Euler, Navier-Stokes equations, turbulence, spectral problems, stability.

Christof Sparber, Ph.D. University of Vienna, 2004. Mathematical Physics, Partial Differential Equations, Analysis and Numerical Simulation of Multi-scale Problems.

Charles Tier (Emeritus), Ph.D. Courant Institute of Mathematical Sciences, 1976. Stochastic models in performance evaluation, biology, and computational finance; asymptotic and perturbation methods.

Stephen Yau (Emeritus), Ph.D. State University of New York-Stonybrook, 1976. Algebraic geometry, singularity theory; complex geometry; CR geometry; nonlinear filtering theory; algebraic geometry code; information theory; control theory; financial math; image database; computer software testing, Bioinformatics.