Applied Mathematics, Statistics, and Scientific Computation Program - University of Maryland

Applied Mathematics & Statistics, and Scientific Computation

AMSC Faculty Research Interests

Name & Contact Research Interests
Ashok K. Agrawala
agrawala at
Design and evaluation of systems and networks.
David Akin
dakin at
Space systems, space robotics, space human factors, extravehicular activity/space suit design.
Frank B. Alt
falt at
Statistical quality control, applied multivariate analysis, and forecasting with a particular interest and expertise in multivariate process control.
Stuart S. Antman
ssa at
Professor Antman studies a variety of dynamical and steady-state nonlinear problems for rods, shells, and three-dimensional solid bodies. The bodies are composed of nonlinearly elastic, viscoelastic, plastic, viscoplastic, or magnetoelastic materials. In each case, properly invariant, geometrically exact theories encompassing general nonlinear constitutive equations are used. In some cases, the solids interact with fluids. The goals of these studies are to discover new nonlinear effects, determine thresholds in constitutive equations separating qualitatively different responses, treat control problems involving "smart" materials, examine important kinds of instabilities, contribute to the theory of shocks and dissipative mechanisms in solids, and develop new methods of nonlinear analysis and of effective computation for problems of solid mechanics.

Continuum Physics and Nonlinear Analysis

Mark A. Austin
austin at
Systems engineering and integration- How do we build systems engineering tools that can take advantage of semantic web technologies? Systems engineering for sensor-based supply chains. Human-computer interfaces for system-level engineering design. Formal models for validation/verification of networked engineering systems. Computer-aided design of bridge and building structures. Earthquake engineering and structural dynamics.
Bilal Ayyub
ba at
Dr. Ayyub’s main research interests are risk, uncertainty and decision analysis, and systems engineering applied to civil, infrastructure, energy, defense and maritime fields.
Shapour Azarm
azarm at
Evolutionary/classical multi-objective and multi-disciplinary design optimization. Approximation of computationally intensive simulations. Decision maker's (or customer's) preference capturing for product design selection. Robust design optimization and selection, with applications for single product and product line design. Integration of marketing and engineering design.
Bala Balachandran
balab at
Nonlinear phenomena, dynamics and vibrations, control, system identification.
Radu V. Balan
rvbalan at
Michael O. Ball
mball at
Dr. Ball's research interests are in network optimization and integer programming particularly as applied to problems in transportation systems and supply chain management.
John S. Baras
baras at
Dr. Baras' research interests include scaleable multicast security; integrated management of hybrid communication networks; modeling and performance evaluation of large broadband hybrid networks; fast internet over heterogeneous (wireless-wireline) networks; manufacturing process selection for electromechanical products; intelligent control; wavelets; robust speaker identification; low complexity, high fidelity, low rate speech coding; image processing and understanding; learning clustering algorithms and classification; distributed control (or decision) systems; stochastic dynamic model building; stochastic control and scheduling; real-time sequential detection and estimation; computer-aided control systems design; queuing systems; quantum communications; nonlinear systems; and radar systems modeling and performance evaluation and distributed parameter systems.
Alexander Barg
abarg at
Coding theory, information theory, cryptography, combinatorics
Sean Barnes
sbarnes3 at
Dr. Barnes' research interests are modeling the transmission of infectious diseases, healthcare and sports analytics, agent-based modeling, simulation, data visualization, and network analysis.
Victor R. Basili
basili at
Dr. Basili is a member of the Experimental Software Engineering Group. The group views the study of software engineering as a laboratory science. Specific research projects are centered around formalizing various aspects of (a) the Quality Improvement Paradigm (QIP), (b) the Experience Factory (EF), and (c) the Goal/Question/Metric approach (GQM). The QIP is aimed at building descriptive models of software processes, products, and other forms of experience, experimenting with and analyzing these models, in order to build improvement-oriented, packaged, prescriptive models. The EF is an organizational approach for packaging reusable software experiences and supplying them to projects and building core competencies in software.
Jacob Bedrossian
jbedross at
The mathematical analysis and computation of PDEs or variational problems arising from fluid mechanics, kinetic theory, plasmas physics, solid mechanics, or mathematical biology. Specific interests include hydrodynamic stability, mixing, Landau damping, energy-driven pattern formation, Patlak-Keller-Segel and related models for the collective motion of organisms, and scientific computing with a focus on moving or irregular geometry and computational fluid dynamics.
John J. Benedetto
jjb at
Harmonic analysis, Fourier analysis, wavelets, image processing.
Peter S. Bernard
bernard at
My primary research interest lies in the development of gridfree methods for turbulent flow simulation. A scheme for modeling 3D flow via a vortex method has been developed with the participation of VorCat, Inc. ( Recent work includes simulations of automotive flow fields, mixing layers with particulates and a dilatation element method for modeling compressible flows.
Gilmer L. Blankenship
gilmer at
Stochastic and nonlinear control, adaptive control, AI in engineering design.
Michael Boyle
mmb at
Ergodic theory, dynamical systems, symbolic dynamics, matrices
Dieter R. Brill
brill at
Black hole physics, cosmology, (2+1)-dimensional model theories
Hugh A. Bruck
bruck at
Processing, thermomechanical characterization, and computational design of multifunctional and functionally graded materials, energetic materials, nanocomposite materials, smart structures, and thin films; experimental methods for microscale and nanoscale materials characterization.
Richard V. Calabrese
rvc at
Dr. Calabrese's research interests are in turbulent mixing and multiphase flow, with emphasis on drop dispersion and coalescence, prediction and measurement of particle size distribution and prediction and measurement of velocity fields in stirred vessels, high shear mixers and other process equipment.
James A. Carton
carton at
Ocean dynamics and the role the ocean plays in climate variability. Current interests include tropical climate variability; exchange processes between the North Atlantic and Arctic (and their relationships to sea ice loss); the changing geochemistry of the oceans; and techniques for reconstructing historical variability of ocean climate.

Meteorology, Oceanography, Atmospheric and Oceanic Sciences, Climate
Rama Chellappa
rama at
Signal and image processing, computer vision, pattern recognition, multi-dimension stochastic processes, statistical inference, computer vision and image analysis, AI in computer vision, neural networks for computer vision.
Andrew Childs
amchilds at
Quantum information processing, especially algorithms for quantum computers (including quantum walks on graphs, quantum simulation, quantum algorithms for algebraic problems, and quantum query complexity).
Peter J. Coughlin
coughlin at
Dr. Coughlin's research interests are in the areas of social choice, voting theory and applied game theory.
Peter Cramton
pcramton at

Professor Cramton conducts research on auctioning many related items, and applies that research world-wide to major auctions of radio spectrum, electricity, financial securities, rough diamonds, pollution emissions, timber, and other products.

Keywords: Market design, auctions, game theory.

Larry S. Davis
lsd at
Computer vision, homeland security, visual surveillance.
Nicholas De Claris
declaris at

Dr. DeClaris' research interests are in the areas of system science, computer engineering, and medical science and practice.

Mathematical and heuristic system methodologies, Computer and cognitive system engineering, Information processing, Decision support, Artificial intelligence, Neural networks, Application to health sciences and to medicine

Anil Deane
deane at
Dr. Deane's research is in the area of computational fluid dynamics and parallel computing, with funded projects in space physics, microgravity fluid physics and high performance computing. Over time he has worked on large-scale simulations of thermal convection, wake flows, compressible turbulence, and magnetohydrodynamics. The numerical techniques used for these simulations include spectral methods, spectral-element methods, finite volume schemes for compressible flows, and shock-capturing methods (particularly flux-corrected transport).
William D. Dorland
bdorland at
Development of kinetic (phase space) algorithms for high performance computing, with an emphasis on Eulerian schemes and closure theory

Direct numerical simulation of collisionless, magnetized plasma turbulence for first-principles simulation of:
Turbulent transport in magnetic confinement fusion devices
Turbulent heating and particle acceleration in astrophysical plasmas

Development of lightweight, portable, high-performance components for practical high performance parallel computing

Turbulence in magnetized plasma; computational physics.

Alex J. Dragt
dragt at
Nonlinear dynamics, Lie algeba, accelerator physics, quantum computing.
Ralph Dubayah
rdubayah at
Land surface energy and water balances, remote sensing, climatology, landcover characterization.
James Duncan
duncan at
Ramani Duraiswami
ramani at
Audio and Computational Acoustics:
Acoustics for perceptual reality, microphone arrays, auditory user interfaces, underwater acoustics.

Scientific Computation:
Fast multipole methods, computational statistics and learning methods, data fitting and modeling, boundary element methods

Computer Vision: Vision aware audio, tracking, pose

Computer audition, computer vision and scientific computing

Theodore L. Einstein
einstein at
Physics of surfaces and complex interfaces. Properties of vicinal surfaces and absorbed organic overlayers. Statistical mechanics of lower dimensions.
Howard C. Elman
elman at
Numerical analysis, numerical linear algebra, computational fluid dynamics, parallel computation.
Anthony Ephremides
tony at
Analysis and optimization of communication networks, wireless systems, and queueing models. Also, information theory for networks, digital communications, and game-theoretic models. Special recent interest in cooperative communications and network coding.
William F. Fagan
bfagan at
I use analytical and computational approaches to understand aspects of population dynamics and species interactions. I focus on problems in spatial ecology using systems of PDEs, integrodifference equations, agent-based modeling, and network modeling. I also study aspects of extinction risk and parameter estimation from noisy time series using stochastic population models. Some of my models are 'pure theory' in nature whereas others are tightly tied to data from particular field systems (e.g., Mount St. Helens).

Theoretical Ecology; Quantitative Conservation Biology

Patrick M. Fitzpatrick
pmf at
Topological methods in nonlinear partial differential equations
Michael Fox-Rabinovitz
foxrab at
Development of variable-resolution stretched-grid (SG)-GCMs and SG-DASs (data assimilation systems) for regional and subregional climate and climate change and other studies and applications.

Studies of anomalous regional climate events including the major monsoonal circulations (like NAMS), and the extreme summer precipitation events (like the U.S. summer droughts and floods), with the SG-GCM and SG-DAS.

Collaborative studies on atmospheric chemistry transport experiments.

Initiation of and participation in the international SGMIP (Stretched-Grid Model Intercomparison Project)

Collaborative interdisciplinary studies on developing and implementation of fast and accurate neural network approximations for model physics.

Numerical approximations and filters.

Mark I. Freidlin
mif at
Stochastic Processes and PDEs
Michael C. Fu
mfu at
Simulation modeling and analysis, production/inventory control, applied probability, and queueing theory; stochastic derivative estimation, simulation optimization of discrete-event systems, Markov decision processes; with application to supply chain management and financial engineering.
Steven A. Gabriel
sgabriel at
Development of models and algorithms in Operations research, optimization, and equilibrium modeling as applied to problems in infrastructure such as
1. Nash-Cournot games in natural gas and electricity markets
2. Optimal determination of retail electricity contracts with stochastic load and prices
3. Bilevel planning problems in energy with discrete upper-level variables
4. Multiobjective optimization as applied to waste management, telecommunications networks, and land development
5. Stochastic market equilibrium problems
William Gasarch
gasarch at
Communication complexity, circuits, games, logic.
Sylvester J. Gates
gatess at
My career interest in the mathematical and theoretical physics of supersymmetric particles, fields and strings began with my Ph.D. thesis, the first on the topic of SUSY at MIT in 1977, and has continued throughout my career. In recent times my focussed interests have been upon two classes of problems: (a) the foundations of the symmetries of superstring/M-theory and (b) 4D, N = 1 supersymmetry in the context of hadron phenomenology and effective actions. More generally, however, I do work in a broad range of investigation involving supersymmetrical systems.

Superstring Theory, M-Theory, Supersymmetrical Systems

Michelle Girvan
girvan at
Applications of network science for modeling social and biological systems, using techniques from nonlinear dynamics and statistical physics.
Harland M. Glaz
hmg at
Numerical analysis. Computational fluid dynamics.
Bruce L. Golden
bgolden at
Some of my interests are network optimization, genetic algorithms, evolutionary computation, heuristic search, applied operations research, operations research/operations management in healthcare, logistics & distribution.
William M. Goldman
wmg at
I am interested in the deformation theory of geometric structures on manifolds. Such structures are modeled on geometris on homogeneous spaces of Lie groups. They include hyperbolic geometry, projective geometry, inversive geometry, constant curvature Lorentzian geometry and many others. The study closely relates to discrete subgroups of Lie groups, gauge theory, low-dimensional topology and mathematical physics. Of particular interest is the action of the topological symmetry group (the mapping class group) on the deformation space (generalizing Teichmueller space), which opens up many questions in dynamical systems.

The Experimental Geometry Lab provides a community of mathematicians working on examples of these structures using technology. In particular we are interested in visualization and computation for geometric structures, discrete group actions, and dynamical systems on moduli spaces. Participants in the lab have included senior researchers, postdocs, graduate students, undergraduate students and high school students.

manifold, geometry, homogeneous space, Lie group, symmetry, geometric structure, mapping class group, uniformization, moduli space, dyanmical system

Oscar W. Greenberg
owgreen at
I am interested in the relation of discrete symmetries, locality of various types and Lorentz invariance. I am presently studying the spacetime dependence of the relative spin-spin correlation function connected with tests of the Bell inequalities. More generally, I am interested in quantum information and related issues.
Manoussos Grillakis
mng at
Nonlinear waves and stability, nonlinear partial differential equations, harmonic analysis
Nail A. Gumerov
gumerov at
My research interests are broad and include many interdisciplinary areas where mathematical modeling and efficient ways of solution of mathematical problems are crucial.

Acoustics, Computational Methods, Mathematical Methods, Inverse Problems,Physichochemical Hydrodynamics, Multiphase Flows, Classical Hydrodynamics and Aeromechanics, Electromagnetic Waves, Computer Vision

Nicholas J. Hadley
hadley at
My interests are in experimental particle physics. Appropriate topics for AMSC students include the applications of computing to large data sets using the grid, and simulating and reconstructing data using pattern recognition and other algorithms.
Jin-Oh Hahn
jhahn12 at

My research interests include dynamical systems and controls approach to health monitoring, diagnostics and maintenance of dynamic systems, with applications to bio-systems and healthcare, automotive systems, structural systems, and energy systems.

Keywords: Dynamical Systems and Controls, Bio-Systems and Healthcare

Adil B Hassam
hassam at
Controlled thermonuclear fusion, solar-terrestrial plasma physics, industrial plasmas.

Theoretical Plasma Physics

Jeffrey Herrmann
jwh2 at
Developing innovative operations research techniques for complex problems in emergency preparedness, homeland security, and public health.

Operations Research
Timothy K. Horiuchi
timmer at
Bat echolocation, computational neuroscience, learning systems, neuromorphic VLSI design, constrained optimization circuits, mobile robotics, neural recording and spike-sorting techniques and tools
Bei-Lok Hu
hub at
Quantum field theory in curved spacetime, stochastic semiclassical gravity, early universe quantum processes, nonequilibrium quantum field theory. Fluctuation phenomena. Foundational issues of quantum mechanics, relevance to quantum computing. Theoretical aspects of quantum and atom optics.
Brian R. Hunt
bhunt at

Weather forecasting and state estimation for spatiotemporal chaos. Prevalence, projection, and dimension. Fractals and dimension in dynamical systems. Optimal orbits and invariant measures of chaotic systems. Dynamics on networks. Dynamics near invariant manifolds: intermingled basins, bubbling, and synchronization. Bifurcations and periodic windows. Other dynamical systems papers. Computational Genomics.

Chaotic Systems, Applied Dynamics

Kayo Ide
ide at
Dr. Ide's research interests concern dynamics of atmosphere and oceans from interdisciplinary perspective, in particular: data assimilation as scientific monitoring and prediction, observing system design, and study of transport and mixing from perspectives of dynamical and control systems.
Wolfgang Jank
wjank at
My methodological research interests center around computational statistics, functional data analysis, nonparametric statistics, methods for spatial and temporal data, Monte Carlo methodology, stochastic optimization and information visualization. I am interested in applications in electronic commerce, marketing, operations management and aviation.
Eugenia E. Kalnay
ekalnay at
Predictability and ensemble forecasting, numerical weather prediction, data assimilation, coupled ocean-atmosphere modeling and climate change.
Jonathan Katz
jkatz at
I work on problems in theoretical computer science, mainly in the area of cryptography. I am interested in problems both of a combinatorial and an algebraic/number-theoretic nature. If you are interested in research in this area, please consult the list of publications on my web page or send me an email.
Benjamin Kedem
bnk at
I have done work in time series analysis, space-time statistical problems, and combination of information from several sources.
Rami A. Kishek
ramiak at
The interaction of charged particles with electromagnetic fields as found in plasmas, particle accelerators, and microwave vacuum devices. Particular topics of interest include space charge effects, microwave breakdown and multipactor discharge, computational accelerator and plasma physics, and the nonlinear dynamics of beams.
P.S. Krishnaprasad
krishna at
Krishnaprasad's interests lie in the broad areas of geometric control theory, filtering and signal processing theory, robotics, acoustics, and biologically-inspired approaches to control, sensing and computation. He has made contributions to system identification, geometric mechanics, actuation based on smart materials, and control of collectives. His current work is focused on pursuit and cohesion in nature and in engineered systems. He is also actively exploring questions at the interface of control theory and the physics of non-equilibrium phenomena.

Key words: geometric methods, collective behavior, Lie groups, stability and control, pursuit phenomena, bio-inspiration, statistical physics, evolutionary games
David Kueker
dwk at
My research is in the area of mathematical logic known as model theory, especially for infinitary and other non-classical languages, including abstract elementary classes.
Mei-Ling Ting Lee
mltlee at
Analysis of genomic data; analysis of time-to-event data; rank tests for clustered data; statistical applications in environmental and occupational health studies, epidemiology studies, microbiology and pharmaco epidemiology; applied probability models; multivariate distributions. 
Sung W. Lee
lee at
Structural mechanics, finite element analysis, and composite structure
Vedran Lekic
ved at
My primary research goal is to use observations of seismic waves to infer elastic and anelastic properties of the Earth's deep interior. To this end, I work on developing and applying techniques for improved data analysis, wave-field calculation and modeling, inversion, and seismic imaging and tomography.
Shreevardhan Lele
slele at
Dr. Lele's research centers on data mining and managerial decision-making under uncertainty. He has also conducted research in the fields of real options, quality control, and simulation
C. David Levermore
lvrmr at
Much (but not all) of my research has revolved around the central theme of understanding how large-scale behaviors emerge from dynamics or structures on small-scales. This includes the classical question of statistical physics about the macroscpic desciption of systems of large numbers of particles given known microscopic physics. It also includes studies of semiclassical limits of nonlinear wave equations, convergence of numerical schemes, turbulence modeling, derivations of shallow water systems, derivations of fluid dynamical systems from kinetic theories, radiation transport through random media, and many other areas. These problems all fall into the what is now called the class of "multiscale" problems.

Multiscale problems, Boltzmann Equations, Nonlinear Wave Equations

Doron Levy
dlevy at
Applications of math to biology and medicine, cancer dynamics, drug resistance, immunology, nonlinear dynamics.
Yan Li
yli6 at

A primary research goal of Dr. Li is to develop statistical methods for efficiently designing and analyzing complex samples in bio-medical and social settings. Particularly she is interested in the area of statistical genetics, involving statistical inferences for genetic association using case-control, cohort and cross-sectional studies and surveys with complex survey designs. In summary, her research interests include:

  • Health survey, case-control data analysis under complex sample designs
  • Statistical genetics
  • Genetic association study
  • Gene-environment interactions
  • Survival analysis of cohort studies
K.J. Ray Liu
kjrliu at
Dr. Liu is Director of Communications and Signal Processing Laboratories and leads the Maryland Signals and Information Group (SIG) with research contributions that encompass broad aspects of wireless communications and networking; multimedia communications and signal processing; information forensics and security; biomedical imaging and bioinformatics; and signal processing algorithms and architectures, in which he has published over 400 refereed papers, books, and book chapters.
Dilip B. Madan
dmadan at
I am particularly fascinated by how mathematical analysis, economic theory, and statistical methodology may be employed to extract interesting information from financial market data. My particular area of expertise is Mathematical Finance with its wide array of theoretical, applied and innovative concerns that range from issues of formulating and testing our understanding of market price determination to the more detailed aspects of pricing particular claims, like the wide range of equity and fixed income derivatives now traded, and improving the quality of risk management through the development innovative financial products and better methods for processing financial information.

Mathematical Finance

Armand M. Makowski
armand at
Traffic characterization and modeling in communication networks (e.g., TCP modeling and web caching). Resource allocation issues in wireless networks. Queueing systems and asymptotic methods for performance evaluation in communication networks. Stochastic systems and adpative algorithms (e.g., swarm intelligence).

Communication networks

Steven I. Marcus
marcus at
Dr. Marcus' research interests lie in the areas of control and systems engineering, analysis and control of stochastic systems, Markov decision processes, stochastic and adaptive control, learning, fault detection, and discrete event systems, with applications in manufacturing and communication networks.
Dionisios Margetis
dio at
Mathematical aspects of materials science, especially the connection of atomistic dynamics to macroscopic motion laws; wuantum many-body dynamics, particularly for problems Bose-Einstein condensation in atomic gases and of electronic structure of materials; emergence of mean field laws from kinetic hierarchies governing phenomena in chemistry and physics; quantum information and computation.
Isaak Mayergoyz
isaak at
Power, Electromagnetic theory, Semiconductor device modeling.
David M. Mount
mount at
I am a member of the Algorithms and Theory Group at the University of Maryland. I do research on the design, analysis, and implementation of data structures and algorithms for geometric problems, particularly problems with applications in areas such as image processing, pattern recognition, information retrieval, and computer graphics.
Prakash Narayan
prakash at
Multiuser information theory, Communication theory, Communication networks, Cryptography, Information theory and statistics.
Robert W. Newcomb
newcomb at
Analog VLSI, biomedical engineering especially ear type systems and heart models), circuit and systems theory (especially semistate theory and multiport synthesis), microsystems, neural networks (hardware & biologically motivated), robotics.
Ricardo H. Nochetto
rhn at
Free boundary problems and phase transitions: finite element methods, adaptivity, PDE issues
Douglas William Oard
oard at
Information Retrieval
Kasso Okoudjou
kasso at
My research interests lie in pure as well as applied and computational harmonic analysis especially, frame theory, time-frequency and wavelet analysis, multilinear pseudodifferential operators. I am also interested in analysis and differential equations on fractals.
Edward Ott
edott at
Dynamics of large networks of coupled systems, Wave chaos, State estimation of large spatiotemporally chaotic systems.
Derek Paley
dpaley at

Nonlinear control and dynamics: Cooperative control of autonomous vehicles in the air and sea.

Mobile sensor networks: Optimal and adaptive sampling of spatiotemporal processes.

Biocomplexity: Quantitative modeling of animal groups and grouping behavior.

Mihai Pop
mpop at
Genome assembly, Environmental Sequencing

Computational Biology

Ingmar R. Prucha
prucha at
Dr. Prucha's research interests are in theoretical and Applied Econometrics. His applied work focuses on the determinants of dynamic factor demand (including investment in physical and R&D capital) and productivity.


Subramanian Raghavan
raghavan at
Dr. Raghavan's research primarily focuses on three areas---network design (e.g., telecommunications, logistics), data mining, and auctions. The unifying feature to these various research areas is the network and combinatorial optimization techniques he applies to these problems.

Network Design, Combinatorial Auctions, Data Mining

James A. Reggia
reggia at
Our research group focuses on studying and understanding 1) the underlying principles of biological computation, and how these principles can be adopted or modified to extend contemporary computer science methods, and 2) automated causal reasoning, such as abductive inference and Bayesian/belief networks.

Biologically-inspired Computing, Causal Reasoning

Amir Riaz
ariaz at
Direct Numerical Simulation of multiphase flow. Multiscale modeling of mutiphase flow. DNS of phase change and reactive transport. Stability of non self-adjoint, non autonomous operators. Nonlinear transition dynamics. Microchannel phase change heat exchangers. Carbon dioxide sequestration in subsurface formations. Enhanced oil recovery. Multiphase transport in chemical looping reactors. 
Jonathan M. Rosenberg
jmr at
Topology and geometry, especially of manifolds and singular spaces, non-commutative topology, index theory, C*-algebras, Lie group representations, K-theory, applications to mathematical physics, especially string theory and other field theories

index theory, K-theory, non-commutative topology, C*-algebras, string theory

Robert Sanner
rmsanner at
Research interest include nonlinear control, spacecraft dynamics and control, aircraft dynamics and control.
Shihab Shamma
sas at
Dr. Shamma's research interests include biological aspects of speech analysis and neural signal processing.
Benjamin Shapiro
benshap at
I am primarily intersted in research at the intersection of control theory and micro systems. We focus on model based control design with validation via experiments. Roughly speaking, we do 50% modeling, 30% control design, and 20% fabrication and experiments.
Mark A. Shayman
shayman at
Traffic engineering, WDM networks, Free space optical networks, Ad hoc networks, Sensor networks, Distributed denial of service (DDoS) attack mitigation

Communication networks

Tien-Mo Shih
tmshih at
Developing a robust scheme to solve a set of nonlinear equations; Newton-Raphson method and its failure.
Eric V. Slud
evs at
Survival data analysis, Census statistics, arge-scale data problems with emphasis on cross-classified data, Stochastic processes. Keywords:
Mathematical statistics and probability
Paul J. Smith
pjs at
Categorical data analysis. Robust and nonparametric statistical methods. Applications of statistics, particularly in the biomedical sciences.
Jiuzhou Song
songj88 at
Dr. Song's current research interests are on bioinformatics, statistical genomics, biopathway analysis and gene regulatory network. Specifically, he works in novel computational methodologies for molecular biology and genetics, e.g., temporal gene expression analysis and biological information extraction from high throughput gene expression data.

Statistical genomics and bioinformatics

Piotr Swistak
pswistak at
Mathematical Models In Social Science, Formal Theory, Behavioral Decision Theory, Methodology and Philosophy of Social Sciences.

Formal Political Theory

Eitan Tadmor
tadmor at

Eitan Tadmor contributed to the theory and computation of Partial Differential Equations with diverse applications to shock waves, kinetic transport, (in-)compressible flows, image processing, and self-organized collective dynamics. These include the interplay between analytical theories and computational algorithms for such equations with particular emphasize on high-resolution methods for nonlinear conservation laws, spectral methods, multi-scale descriptions of images, and modeling and analysis of collective dynamics with applications to flocking and opinion dynamics.

Key words: central schemes, entropy stability, spectral viscosity methods, constraint transport, edge detection, kinetic formulations, critical thresholds phenomena, hierarchical decompositions.

Devarajan Thirumalai
thirum at
Research in Dr. Thirumalai's group focuses on various problems in equilibrium and non equilibrium statistical mechanics. Currently various aspects of the transition from liquid to amorphous state are being investigated. Another area of research involves the theoretical study of polymer-colloid interactions. Research is also being carried out to understand the dynamics of protein folding
Andre L. Tits
andre at
Dr. Tits' main research interests lie in various aspects of numerical optimization, optimization-based system design and robust control with emphasis on numerical methods. In addition to carrying out fundamental research work in these areas, researchers in Dr. Tits' group have developed several software packages. Especially popular is FSQP, a tandem of sophisticated software suites for nonlinear constrainted optimization, in use at over 1000 sites around the world.
Konstantina Trivisa
trivisa at
Hyperbolic Systems of Conservation Laws, Models of Compressible Fluids, Variational Problems - Phase Transitions, Applications to Materials Science and Fluid Dynamics.

Nonlinear Partial Differential Equations

Tobias Von Petersdorff
tvp at
Elliptic and parabolic boundary value problems; numerical methods.

Nonsmooth domains like polygons and polyhedra:
Singular behavior of the solution near edges and vertices, Efficient numerical approximation using Finite Element Methods, Boundary Element Methods and nonuniform meshes.
Multigrid and Wavelet techniques for Boundary Element Methods

Stephen Wallace
stevewal at
Dr. Wallace is a member of the Theory Group for Quarks, Hadrons, and Nuclei. The group conducts research in quantum chromodynamics, lattice QCD, hadron and nuclear physics.
Lawrence C. Washington
lcw at
Number theory, cyclotomic fields, elliptic curves, cryptology
James A. Yorke
yorke at
Professor Yorke's current research projects range from chaos theory and weather prediction and genome research to the population dynamics of the HIV/AIDS epidemic. For more detail see: Keywords:
Chaos, Weather Prediction, Genome, HIV/AIDS
Michael R. Zachariah
mrz at
Microcombustion, Energetic Materials and Reacting Flows (Combustion and Thermal CVD Processes). Fundamentals of Gas-Phase Chemical Kinetics: Measurement and Theory. Ab-Initio Computational Chemistry and Classical Molecular Dynamics. Numerical Simulation of Reacting Flows with Complex Chemistry Molecular-Beam and Single Particle Mass-Spectrometry.

NanoParticle Science, Manufacturing and Measurements.

Da-Lin Zhang
dalin at
Prof. Zhang works on the modeling and understanding of fundamental processes taking place in squall lines, mesoscale convective complexes, hurricanes and heavy rain- (or snow-) storms, tropical and extratropical cyclones, gravity waves, frontal circulations and topographically generated weather phenomina. His research involves simulating a variety of different severe convective systems and cyclones; examining the meso-beta-scale structures and evolution as well as the mechanism(s) whereby they develop; testing theories, hypotheses and various model physical representations; and finally interpreting, to the extent possible, the observed behaviors of these weather systems. His research interests also include the development and improvement of the planetary boundary layer and cumulus parameterization techniques, cloud representations in mesoscale numerical models, and the improvement of warm-season quantitative precipitation forecasts and severe weather warnings.

Mesoscale Convective Systems, Tropical and Extratropical Cyclones, Mesoscale Modelling, Regional Climate, Air Pollution Meteorology

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