Research Interests of Faculty of the Graduate Field of Applied Mathematics

W. Aquino: Inverse problems, computational non-destructive evaulation, computational solid mechanics, large scale scientific computing, elasticity imaging.
T. Berger: Information theory, data and video compression, communication networks, random processes.
L. J. Billera: Algebraic combinatorics, discrete geometry.
R. G. Bland: Linear programming, combinatorial optimization, networks and matroids.
A. W. Bojanczyk: Parallel numerical methods, matrix-based signal and image processing.
C. Bustamante: Statistical genetics/genomics, Bayesian statistics, computational statistics, hierarchical models, MCMC, bioinformatics, comparative genomics, computational biology.
D. A. Caughey: Computational fluid dynamics, aerodynamics.
H.-D. Chiang: Nonlinear circuits and systems, power systems, artificial neural networks, control systems, optimization theory.
T. Coleman: Numerical optimization, computational finance, parallel computation.
R. Connelly: Geometry of discrete structures, configuration spaces, topology.
R. L. Constable: Theory of computing, applied logic, automated reasoning.
R. D'Andrea: Robust and optimal control.
D. F. Delchamps: Dynamical systems, control theory, stochastic systems, cognitive science.
P. Diamessis Turbulence, mixing and internal gravity waves in stratified flows, environmental fluid mechanics, interaction of hydrodynamics with biology, computational fluid dynamics, spectral methods in engineering computation and high performance parallel scientific computing.
R. Durrett: Probability theory and their application to ecology and genetics.
E. B. Dynkin: Probability theory.
R. Elber: Scientific computing.
S. Ellner: Theoretical population biology and evolutionary biology.
V. Elser: Crystallography, quasicrystals, quasiperiodic minimal surfaces.
G. S. Ezra: Theoretical chemistry, chemical physics.
T. L. Fine: Artificial neural nets, foundations of probability, modeling random phenomena.
E. Friedman: Game theory, information technology, cost allocation.
L. Gross: Analysis over infinite dimensional manifolds.
J. Guckenheimer: Dynamical systems, differential equations, mathematical biology.
Z. Haas: Wireless networks and mobile systems, ad hoc and sensor networks, modeling of communication systems, application of communication and networking to bio-systems.
J. Halpern: Reasoning about knowledge and uncertainty, qualitative reasoning, (fault-tolerant) distributed computing, logic, game theory.
T. Healey: Nonlinear elasticity, nonlinear analysis, equivariant bifurcation theory.
S. Hemami: Visual communication, application-specific image and video processing and compression, multirate coding, joint optimization of network and coding parameters.
S. Henderson: Discrete-event simulation, simulation and optimization, applications in radiation oncology
Y. Hong: Econometric theory; economics of China.
J. H. Hubbard: Ordinary differential equations, iterations, fractals.
C.-Y. Hui: Fracture mechanics, high-temperature crack propagation, geomechanics, asymptotic methods.
Doug L. James: Geometric and physical algorithms, computer graphics and animation, haptic rendering, deformable models.
R. A. Jarrow: Mathematical finance.
J. T. Jenkins: Continuum mechanics, biomechanics, mechanics of granular materials.
C. R. Johnson: Adaptive receiver design for broadband communication technologies.
L.E. Jones: Theoretical population biology, theoretical ecology and ecological modeling.
E. Kan: Physical modeling of semiconductor devices and processes, numerical solvers for hybrid systems (EM, mechanical, and thermal).
J. Kleinberg: Algorithms, combinatorial optimization, computational geometry, computational biology.
D. Koch: Fluid dynamics, stochastic processes in suspensions.
P.-S. Koutsourelakis Uncertainty quantification, stochastic simulation, random heterogeneous materials, multiscale analysis and formulations, Bayesian inferencing.
D. Kozen: Theory of computation, computational complexity, program logic and semantics.
U. Kreich: Bioinformatics, computational statistics.
S. Leibovich: Fluid dynamics.
S. A. Levin: Mathematical biology, ecology, epidemiology and evolutionary theory.
A. Lewis Variational analysis and nonsmooth optimization with particular interest in eigenvalue optimization.
P. L.-F. Liu: Fluid dynamics, nonlinear water waves.
R. Loring: Chemical applications of equilibrium and nonequilibrium statistical mechanics.
M. Majumdar: Mathematical economics.
R. Manohar: Asynchronous VLSI design, computer architecture, concurrency theory.
T. Mitra: Economic growth, infinite horizon dynamic optimization, chaotic dynamical systems.
C. Myers: Systems biology, complex systems, computational science.
A. Nerode: Logic, recursive functions and computability, theoretical computer science, hybrid systems, multiple agent autonomous control theory.
T. Parks: Digital signal processing, image enlargement, enhancement and restoration.
R. Pass: Cryptography and its interplay with computational complexity and game theory.
L. S. Phoenix: Probability models of the failure of materials.
S. B. Pope: Turbulence, combustion, computational fluid mechanics, stochastic processes.
P. Protter: Financial asset pricing theory and credit risk, stochastic analysis and numerical analysis, weak convergence, Markov processes.
R. H. Rand: Differential equations, dynamical systems, biomechanics.
J. H. Renegar: Complexity of algorithms, mathematical programming.
S. I. Resnick: Applied probability, extreme values, data network modeling, heavy tails and long range dependence.
P. Rusmevichientong: Data mining, probabilistic inference and decentralized decision-making
L. Saloff-Coste: Analysis, potential theory, stochastic processes.
G. Samorodnitsky: Applied probability, stable processes, long range dependence, communication networks, financial models, risk theory.
A. Schatz: Numerical analysis, partial differential equations.
B. Selman: Artificial intelligence and experimental computer science.
J. Sethna: Theoretical condensed-matter physics, materials science, spatially extended dynamical systems.
D. Shalloway: Algorithms for perturbative protein folding and dynamics.
K. Shell: Economic theory and mathematical economics.
A. Shied: Applied probability, financial engineering, stochastic analysis
D. Shmoys: Analysis of algorithms, combinatorial optimization, approximation algorithms, computational biology.
C. Shoemaker: Numerical optimization, stochastic dynamic programming, heuristic optimization, applications to environmental systems.
J. Smillie: Dynamical systems.
J. R. Stedinger: Risk analysis, stochastic hydrology, water resource systems.
P. H. Steen: Hydrodynamic stability, nonlinear fluid dynamics.
M. Stillman: Algebraic geomety, computational algebra and algebraic geometry, commutative algebra.
S. Strogatz: Nonlinear dynamics; applications in physics, engineering, and biology.
A.O. Tang Communication networks, control and dynamical systems, optimization, game theory and their applications, stochastic processes and networks.
E. Tardos: Design and analysis of algorithms, with emphasis on combinatorial optimization and their applications to various problems.
J. S. Thorp: Optimal control with application to power systems and micromechanics.
M. J. Todd: Continuous optimization, interior-point methods, mathematical programming.
L. Tong: Network and Information theory, detection and estimation, statistical methods and algorithms.
H. Topaloglu: Stochastic programming, approximate dynamic programming, stochastic approximation algorithms.
L. E. Trotter: Discrete optimization, parallel computing.
C. F. Van Loan: Matrix computations.
S. A. Vavasis: Numerical analysis, optimization.
A. Vladimirsky: Numerical methods, dynamical systems, nonlinear PDEs, control theory.
A. Wagner: Information theory, communication and compression, networking, computational linguistics, security
L. B. Wahlbin: Numerical analysis of partial differential equations.
J. Wang: Fluids in physics and biology, biomathematics, statistical physics, scientific computing and modeling.
S. Weber: Applied probability, mathematical finance
S. Wicker: Wireless information networks, digital communication systems, error control coding.
B. Widom: Physical chemistry, statistical mechanics.
D. Williamson: Combinatorial optimization, approximation algorithms, information networks.
D. Winkler: Life history theory, models of dispersal.
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