Applied Math

Applied Mathematics and Scientific Computation

AMSC Faculty Research Interests

The AMSC program has faculty and students with research interests which span many fields of modern science. Below is a listing of our faculty, with a brief description of their research interests and keywords that may help cateogorize their research interests. This list is meant to serve as a guide for students seeking to find research advisors.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Name & Contact Research Interests
A
Eyad Abed
AVW 2169
301-405-3631
abed at umd.edu
Dr. Abed's research includes contributions on the following subjects: control of nonlinear systems exhibiting bifurcation and chaos; singular perturbation analysis and reduced-order modeling; nonlinear stability and stabilization; linear robust stability; gas turbine jet engine dynamics and control; electric power system dynamics and control; tethered satellite control; aircraft control; and radar system dynamics.
Ashok K Agrawala
AVW 4149
301-405-2525
agrawala at cs.umd.edu
Design and evaluation of systems and networks.
David Akin
NBR 2100D
301-405-1138
dakin at ssl.umd.edu
Space Systems, Space Robotics, Space Human Factors, Extravehicular Activity/Space Suit Design.
Clopper Almon
MOR 1105
301-405-4604
almon at econ.umd.edu
Dr. Almon's major research interests have been in the area of interindustry modeling for the purpose of studying macroeconomic phenomena.
Frank B. Alt
VMH 3311
301-405-2231
falt at rhsmith.umd.edu
Statistical quality control, applied multivariate analysis, and forecasting with a particular interest and expertise in multivariate process control.
Stephen Altschul
NIH
301-435-7803
altschul at nih.gov
Genome Sequence alignment algorithms, Statistics of sequence comparison, Measures of sequence similarity

Keywords:
Computational Biology, Genome

Stuart S. Antman
MTH 2309
301-405-5105
ssa at math.umd.edu
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.

Keywords:
Continuum Physics and Nonlinear Analysis

Arjang A. Assad
VMH 4303
301-405-2194
assad at rhsmith.umd.edu
The research interests of Dr. Assad lie in the area of distribution and transportation modeling with special emphasis on vehicle routing, and mathematical programming models. He has also published in the areas of production and operations management and project management.

Keywords:
Operations management, optimization of distribution systems, and mathematical programming

Mark A. Austin
AVW 2149
301-405-6627
austin at isr.umd.edu
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.
Shapour Azarm
EGR 2155
301-405-5250
azarm at umd.edu
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.
B
Ferdinand Baer
CSS 2431
301-405-5387
baer at atmos.umd.edu
Dr. Baer's research interests span a variety of topics to include atmospheric dynamic, numerical weather prediction, numerical analysis, initialization, spectral methods, atmospheric energetics, gravity waves, and high performance computing applications.
Elias Balaras
EGR 3131
301-314-9477
balaras at eng.umd.edu
Computational fluid dynamics; biomedical fluid flows; fluid-structure interactions; turbulence and transition
Radu V. Balan
MTH 2308
301-405-5492
rvbalan at math.umd.edu
 
Michael O. Ball
VMH 4311
301-405-2227
mball at rhsmith.umd.edu
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
AVW 2249
301-405-6606
baras at isr.umd.edu
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
AVW 2361
301-405-7135
abarg at eng.umd.edu
Coding theory, Information theory, Cryptography, Combinatorics
Victor R. Basili
AVW 4111
301-405-2668
basili at cs.umd.edu
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.
John J. Benedetto
MTH 3104
301-405-5161
jjb at math.umd.edu
Harmonic Analysis, Fourier Analysis, Wavelets, Image Processing.
Carlos A. Berenstein
AVW 2221
301-405-6845
carlos at src.umd.edu
Professor Berenstein's research interests lie in the theory and applications of complex variables, convolution equations, complexity, and linear systems.
Peter S. Bernard
EGR 3116
301-405-5272
bernard at eng.umd.edu
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. (www.vorcat.com). Recent work includes simulations of automotive flow fields, mixing layers with particulates and a dilatation element method for modeling compressible flows.
Roger R. Betancourt
TYD 3133
301-405-3479
betancou at econ.umd.edu
Dr. Betancourt's research interests currently lie in the area of applied microeconomics and economic development.
Gilmer L. Blankenship
AVW 1427
301-405-3632
gilmer at eng.umd.edu
Stochastic and nonlinear control, Adaptive control, AI in engineering design.
Lawrence D. Bodin
Professor Emeritus
VMH 3301
301-405-2210
lbodin at umdacc.umd.edu
Michael Boyle
MTH 4413
301-405-5135
mmb at math.umd.edu
Ergodic theory, dynamical systems, symbolic dynamics, matrices
Dieter R. Brill
PHY 4202
301-405-6027
brill at physics.umd.edu
Black Hole Physics, Cosmology, (2+1)-dimensional model theories
Hugh A. Bruck
EGR 2153
301-405-8711
bruck at eng.umd.edu
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.
C
Richard V. Calabrese
CHE 1208C
301-405-1908
rvc at eng.umd.edu
Dr. Calabrese's research interests are in turbulent mixing and multiphase flow, with emphasis on drop dispersion & coalescence, prediction & measurement of particle size distribution and prediction & measurement of velocity fields in stirred vessels, high shear mixers and other process equipment.
James A. Carton
CSS 2417
301-405-5365
carton at atmos.umd.edu
Current research interests focusses on the dynamics of the tropical Atlantic as it responds to meteorological forcing on seasonal and longer timescales. Dr. Carton is also actively pursuing data assimilation methodologies to combine historical observations of ocean circulation with knowledge of the equations of motion to better represent past changes in the heat, mass, and freshwater of the oceans.

Keywords:
Meteorology, Atmoshperic and Oceanic Sciences

Ramalingam Chellappa
AVW 4411
301-405-4526
rama at cfar.umd.edu
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

Frank Coale

HJP 1109

301-405-1306

fjcoale at umd.edu

Crop rotations for phytoremediation of phosphorus over-enriched soils; Field and on-farm evaluation of the environmental impact of phosphorus in soils amended with biosolids; Intensive Nutrient Management for Efficient Crop Production; Development of Nutrient Management Planning and Environmental Risk Assessment Software

Keywords:
Land Management and Conservation, Soil Fertility and Nutrient Management.
Avis Cohen
BPS 2230
301-405-0069
avis at umd.edu
Motor Control, Spinal Cord Regeneration and Computational Neuroscience and Neuromorphic Engineering
Jeffery M. Cooper
MTH 3109
301-405-5130
jec at math.umd.edu
Partial Differential Equations of Hyperbolic Type
Peter J. Coughlin
TYD 4101C
301-405-3482
coughlin at econ.umd.edu
Dr. Coughlin's research interests are in the areas of social choice, voting theory and applied game theory.
D
Larry S. Davis
AVW 3361
301-405-2662
lsd at umiacs.umd.edu
Computer Vision, Homeland security, visual surveillance
Nicholas De Claris
AVW 1363
301-405-3639
declaris at eng.umd.edu
Dr. DeClaris' research interests are in the areas of system science, computer engineering, and medical science and practice. Keywords:
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
CSS 3223
301-405-4866
deane at ipst.umd.edu
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).
Bruce Donaldson
Professor Emeritus
EGR 1182
301-405-1127
bdonalds at umd.edu
J. Robert Dorfman
IPT 1108
301-405-4804
jrd at glue.umd.edu
Professor Dorfman is engaged in research on the relation between dynamical systems theory and nonequilibrium statistical mechanics, working in mathematical statistical mechanics, his particular branch of theoretical physics
William D. Dorland
AVW 3325
301-405-1608
bdorland at umd.edu
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

Keywords:
Turbulence in magnetized plasma; computational physics.

Bonnie J. Dorr
AVW 3157
301-405-6768
bonnie at umiacs.umd.edu
Broadscale multilingual processing, interlingual machine translation, summarization, linguistically-informed statistical models.
Alex J. Dragt
Professor Emeritus
PHY 3124C
301-405-6053
dragt at physics.umd.edu
Nonlinear Dynamics, Lie Algeba, Accelerator Physics, Quantum Computing
http://www.physics.umd.edu/people/faculty/dragt.html
http://www.physics.umd.edu/dsat
http://www.physics.umd.edu/sqc
Ralph Dubayah
LEF 1149B
301-405-4069
dubayah at geog.umd.edu
Land surface energy and water balances, Remote sensing, Climatology, Landcover characterization
Ramani Duraiswami
AVW 3365
301-405-6710
ramani at umiacs.umd.edu
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

Keywords:
Computer audition, computer vision and scientific computing

E
Theodore L. Einstein
PHY 2307
301-405-6147
einstein at physics.umd.edu
Physics of surfaces and complex interfaces, Properties of vicinal surfaces, Statistical mechanics of lower dimensions.
Howard C. Elman
AVW 3255
301-405-2694
elman at cs.umd.edu
Numerical analysis, numerical linear algebra, computational fluid dynamics, parallel computation.
Anthony Ephremides
AVW 2333
301-405-3641
tony at eng.umd.edu
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.
F
William F. Fagan
BPS 3235
301-405-4672
bfagan at glue.umd.edu
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).

Keywords:
Theoretical Ecology; Quantitative Conservation Biology

Patrick M. Fitzpatrick
MTH 1101
301-405-5051
pmf at math.umd.edu
Topological Methods in Nonlinear Partial Differential Equations
Michael Fox-Rabinovitz
CSS 2207
301-405-5395
foxrab at essic.umd.edu
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
MTH 3308
301-405-5143
mif at math.umd.edu
Michael C. Fu
VMH 4305
301-405-2241
mfu at umd5.umd.edu
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.
G
Steven A. Gabriel
EGR 1143
301-405-3242
sgabriel at eng.umd.edu
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
AVW 3213
301-405-2698
gasarch at cs.umd.edu
Communication Complexity, Circuits, Games, Logic.
Sylvester J. Gates
PHY 4125
301-405-6025
gatess at wam.umd.edu
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.

Keywords:
Superstring Theory, M-Theory, Supersymmetrical Systems

James W. Gentry
CHE 1223A
301-405-1915
gentry at eng.umd.edu
Aerosol Mechanics
Harland M. Glaz
MTH 4405
301-405-5470
hmg at math.umd.edu
Bruce L. Golden
VMH 4339
301-405-2232
bgolden at rhsmith.umd.edu
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
MTH 3106
301-405-5124
wmg at math.umd.edu
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.

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

Paul S. Green
MTH 4406
301-405-5106
psg at math.umd.edu
Oscar W. Greenberg
PHY 4108
301-405-6014
owgreen at physics.umd.edu
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.
James J. Griffin
PHY 2109
301-405-6118
griffin at physics.umd.edu
Theoretical Quarks Hadrons and Nuclei
Manoussos Grillakis
MTH 2207
301-405-5173
mggrlk at wam.umd.edu
Nonlinear waves and stability, Nonlinear partial differential equations, Harmonic Analysis
Nail A. Gumerov
AVW 3305
301-405-8210
gumerov at umiacs.umd.edu
My research interests are broad and include many interdisciplinary areas where mathematical modeling and efficient ways of solution of mathematical problems are crucial.

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

H
Nicholas J. Hadley
PHY 4319
301-405-6063
hadley at umdhep.umd.edu
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.
Adil B Hassam
AVW 3307
301-405-1417
hassam at plasma.umd.edu
Controlled Thermonuclear Fusion, Solar-Terrestrial Plasma Physics, Industrial Plasmas.

Keywords:
Theoretical Plasma Physics

Dennis M Healy
MTH 2111
301-405-5047
Dennis.Healy at darpa.mil
Jeffrey Herrmann
EGR 0151B
301-405-5433
jwh2 at umd.edu
My general research interests are in two areas: (1) health care operations research, including emergency preparedness planning, and (2) design optimization.

Keywords:
operations research, operations management, design optimization, scheduling, queueing, industrial engineering, health care, emergency preparedness.

Saswata Hier-Majumder

CSS 2253

301-405-6979

saswata at umd.edu

We are interested in studying transport and storage of magmatic melts in the deep interior of the Earth. Our research involves modeling the microstructure of partially molten rocks using analytical and numerical techniques.

For more details, please refer to http://www.geol.umd.edu/~saswata/research.html

Keywords:

Multiphase fluid dynamics in the the Earth's deep interior

Timothy K. Horiuchi
AVW 2215
301-405-7412
timmer at isr.umd.edu
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
PHY 4205B
301-405-6029
hub at physics.umd.edu
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
MTH 4408
301-405-5108
bhunt at ipst.umd.edu
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. Keywords:
Chaotic Systems, Applied Dynamics
J
Wolfgang Jank
VMH 4322
301-405-1118
wjank at rhsmith.umd.edu
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.
Raymond L Johnson
MTH 2107
301-405-7061
rlj at math.umd.edu
I have studied continuous dependence on data of backwards parabolic equations, properties of Besov spaces defined using parabolic equations, and weighted estimates for the Fourier transform. My current interest is the study of spectral synthesis results for Hardy spaces of the line.
K
Eugenia E Kalnay
CSS 3431
301-405-5370
ekalnay at atmos.umd.edu
Predictability and ensemble forecasting, numerical weather prediction, data assimilation, coupled ocean-atmosphere modeling and climate change.
Jonathan Katz
AVW 3225
301-405-1226
jkatz at cs.umd.edu
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
MTH 4411
301-405-5112
bnk at math.umd.edu
I have done work in time series analysis, space-time statistical problems, and combination of information from several sources.
Harry H Kelejian
TYD 3137
301-405-3492
kelejian at econ.umd.edu
Dr. Kelejian's research interest has focused on both applied and theoretical econometrics.
Young S Kim
PHY 4122
301-405-6024
yskim at physics.umd.edu
Elementary particle theory; Lorentz group applicable to other areas of physics including quantum optics, condensed matter physics, and classical mechanics; foundations of quantum mechanics, particularly the question of making the uncertainty principle consistent with special relativity.
Rami A Kishek
AVW 1202G
301-405-5012
ramiak at umd.edu
Professor Kishek's research interests revolve on the electrodynamics of swarms of particles interacting through long range forces. The centerpiece of Kishek's current research is the University of Maryland Electron Ring (UMER), a small-scale (4-m diameter) recirculator transporting up to 100 mA of 10 keV electrons, or about 10 nC per a 100-ns pulse. Professor Kishek is furthermore interested in realizing a competitive alternative source of energy using heavy ion beams to inertially drive miniature fusion reactions, an application that demands beams at extreme intensity. A primary area of expertise is in realistic computer modeling of these many-particle systems. Professor Kishek augments the experimental program with a superb computer simulation capability that is closely-coupled to experiment, and insures that computer modeling expertise is imparted to all graduate students under his guidance, including those pursuing experimental theses. In addition to simulation and modeling, Kishek is interested in correction and control problems, especially techniques that can be extended to hardware-in-the-loop configurations, taking advantage of the ns-scale propagation time of the UMER electrons.
Victor Korenman
Professor Emeritus
ADM 1122
301-405-6836
vk2 at umail.umd.edu
Perinkulam Krishnaprasad
AVW 2233
301-405-6843
krishna at isr.umd.edu
Dr. Krishnaprasad's research interests lie in the broad area of geometric control theory and its applications. He has contributed to the understanding of parametrization problems in linear systems, the Lie algebraic foundations of certain nonlinear filtering problems pertaining to system identification, the Lie theory and stability of interconnected mechanical systems and symmetry principles in nonlinear control theory. Dr. Krishnaprasad's research interests also include mathematical problems in the kinematics and control of robot manipulators, tactile perception, and the development of tools for design automation in robotics. He is the Director of the Intelligent Servosystems Laboratory at Systems Research Center, University of Maryland, College Park
David W. Kueker
MTH 1102
301-405-5052
dwk at math.umd.edu
My research is in the area of mathematical logic known as model theory.
L
Sung W. Lee
EGR 3174
301-405-1128
lee at eng.umd.edu
Structural mechanics, finite element analysis, and composite structure
Shreevardhan Lele
VMH 4347
301-405-2262
slele at rhsmith.umd.edu
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
MTH 3101
301-405-5127
lvrmr at math.umd.edu
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.

Keywords:
Multiscale problems, Boltzmann Equations, Nonlinear Wave Equations

Doron Levy
MTH 3305
301-405-5140
dlevy at math.umd.edu
Applications of math to biology and medical sciences, imaging, immunology, biology, nonlinear dynamics, numerical analysis.
Jian-Guo Liu
MTH 3313
301-405-5148
jliu at math.umd.edu
Analysis and computation of nonlinear partial differential equations arising in fluid dynamics and materials science. Computational fluid dynamics, numerical analysis, scientific computing and applied mathematics in general.
K.J. Ray Liu
AVW 2219
301-405-6619
kjrliu at eng.umd.edu
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.
M
Dilip B. Madan
VMH 4809
301-405-2127
dmadan at rhsmith.umd.edu
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.

Keywords:
Mathematical Finance

Hani S. Mahmassani
EGR 1188
301-405-0221
masmah at umd.edu
Dynamic Traffic Assignment, Dynamics of User Behavior/ATIS, Advanced Public Transportation Systems, Advanced Transportation Management Systems, Freight Transportation and Logistics, Telecommuting, Bicycle and Pedestrian Behavior Research.

Keywords:
Transportation

Armand M. Makowski
AVW 2357
301-405-6844
armand at isr.umd.edu
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).

Keywords:
Communication networks

Steven I. Marcus
AVW 2415
301-405-3683
marcus at isr.umd.edu
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

MTH 4416

301-405-5455

dio at math.umd.edu

My research lies broadly in applied analysis and mathematical modeling and is motivated by physical experiments. My ultimate goals are to understand how length and time scales are linked in various prototypical systems by using unified mathematical methods such as asymptotics and perturbation theory; and use this knowledge to make new predictions. So far, I have worked productively in materials science, statistical mechanics, quantum information, fluid mechanics, and electromagnetics. In materials science I have focused on aspects of epitaxial growth, including the derivation and study of PDEs for the morphological evolution of crystal surfaces. In statistical mechanics I work on a macroscopic description of Bose-Einstein condensation of trapped atoms beyond the usual mean-field approaches based on nonlinear Schroedinger equations. In quantum information I study aspects of quantum computing and decoherence related to scattering, by which spatial variables are included in transforming quantum states. In fluid mechanics I have studied growth phenomena in advection-diffusion processes. In electromagnetic theory I have focused on wave propagation near boundaries and scattering of electric fields by cells. Most recently, I have been interested in biophysics, specifically, in linking discrete models for biomembranes to continuum descriptions of the membrane energy including bending and chemistry.

Keywords:
Applied analysis; modeling; asymptotics; applied PDEs; materials science; statistical mechanics; quantum information; quantum mechanics; electromagnetic theory; biomechanics.
Isaak Mayergoyz
AVW 2335
301-405-3657
isaak at eng.umd.edu
Power, Electromagnetic theory, Semiconductor device modeling.
Thomas J. Mcavoy
Professor Emeritus
AVW 2231
301-405-1939
mcavoy at eng.umd.edu
Laurent G. J. Montesi
CSS2239
301-405-7534
montesi at umd.edu

My research focuses principally on understanding the patterns of deformation that we see at the surface of the planets of the solar system. I focus mainly on the formation of mountain belts, but rifting is fine too. I am interested in structures found on Earth, Mars, Venus, and the satellites of Jupiter, Ganymede and Europa.

More specifically, I study how these patterns are influenced by the formation of faults, by the localization of deformation on narrow shear zones. I have developed a model that produces regularly-spaced faults in the lithosphere of terrestrial planets and applied to different environments.

Bahram Momen

HJP 1108

301-405-1332

bmomen at umd.edu

Forest ecosystems (urban and rural); Air pollution effects on ecosystem processes through plants; Tree and crop ecophysiology; Applied statistical analysis and experimental design in natural resources.

Keywords:
Water Quality, Ecology and Environmental Physiology.
David M. Mount
AVW 3209
301-405-2704
mount at cs.umd.edu
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.
N
Prakash Narayan
AVW 2353
301-405-3661
prakash at eng.umd.edu
Multiuser information theory, Communication theory, Communication networks, Cryptography, Information theory and statistics.
Robert W. Newcomb
AVW 1347
301-405-3662
newcomb at eng.umd.edu
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
MTH 3310
301-405-5145
rhn at math.umd.edu
Free boundary problems and phase transitions: finite element methods, adaptivity, PDE issues
O
Dianne P. O'Leary
AVW 3271
301-405-2678
oleary at cs.umd.edu
My research has centered upon several themes, primarily related to computational linear algebra, scientific computing, and optimization. The work has involved a mixture of algorithm development and scientific applications, drawing upon tools in applied mathematics, numerical analysis, and computer science. These themes have led to applications in physics, biology, medicine, and engineering.

Keywords:
Numerical solution of ill-posed problems, image deblurring, Krylov sequence methods, optimization algorithms, information retrieval, and quantum computing.

Douglas William Oard
AVW 3145
301-405-7590
oard at glue.umd.edu
My research interests include cross-language information retrieval, speech-based information retrieval, and information filtering.
John E. Osborn
MTH 3108
301-405-5129
jeo at math.umd.edu
Numerical solution of partial differential equations.
Edward Ott
AVW 3329
301-405-5033
edott at umd.edu
Dynamics of large networks of coupled systems, Wave chaos, State estimation of large spatiotemporally chaotic systems.
P
Michael Pecht
EGL S1103
301-405-5323
pecht at umd.edu
Competitive product development; product characterization and qualification; supply chain creation and management; prognostics and health management; product reliability, risk assessment and mitigation
Ugo Piomelli
EGR 2168
301-405-5254
ugo at eng.umd.edu
Numerical simulation of turbulent and transitional flows

Keywords:
Large-eddy Simulations

Mihai Pop
Biomolecular Sciences Building. Rm. 3120F
301-405-7245
mpop at umiacs.umd.edu
Genome assembly, Environmental Sequencing

Keywords:
Genomics, Computational Biology

Ingmar R. Prucha
TYD 3147A
301-405-3499
prucha at econ.umd.edu
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.

Keywords:
Econometrics

Q
R
Subramanian Raghavan
VMH 4352
301-405-6139
sr141 at umail.umd.edu
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.

Keywords:
Network Design, Combinatorial Auctions, Data Mining

Edward F. Redish
PHY 1308
301-405-6120
redish at physics.umd.edu
Nuclear theory with an emphasis in the theory of reactions and the quantum few-body problem.
James A. Reggia
AVW 3233
301-405-2686
reggia at cs.umd.edu
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.

Keywords:
Biologically-inspired Computing, Causal Reasoning

Donald H. Robbins
EGR 2157
301-405-3591
drobbins at eng.umd.edu
Computational mechanics of solids and structures; constitutive relations for composite and finite strain materials; development of finite element models and procedures for multiscale analysis of composite structural components.
Jonathan M. Rosenberg
MTH 2114
301-405-5166
jmr at math.umd.edu
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

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

S
Robert Sanner
EGR 3186
301-405-1928
rmsanner at eng.umd.edu
Research interest include nonlinear control, spacecraft dynamics and control, aircraft dynamics and control.
Charles W. Schwartz
EGR 0147C
301-405-1962
Pavement engineering (analytical and numerical modeling techniques; characterization and laboratory testing of pavement materials; performance modeling and prediction; pavement management); geomechanics (finite element analysis, fracture mechanics); engineering software design and development.
Shihab Shamma
AVW 2415
301-405-3683
sas at eng.umd.edu
Dr. Shamma's research interests include biological aspects of speech analysis and neural signal processing.
Benjamin Shapiro
EGR 3178
301-405-4191
benshap at eng.umd.edu
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
AVW 2449
301-405-3667
shayman at eng.umd.edu
Traffic engineering, WDM networks, Free space optical networks, Ad hoc networks, Sensor networks, Distributed denial of service (DDoS) attack mitigation

Keywords:
Communication networks

Tien-Mo Shih
EGR 2155
301-405-5273
shih at eng.umd.edu
Developing a robust scheme to solve a set of nonlinear equations; Newton-Raphson method and its failure.
Galit Shmueli
VMH 4361
301-405-9679
gshmueli at rhsmith.umd.edu
Dr. Shmueli's research focuses on developing and using statistical and probabilistic methods in marketing, quality control, and bio-surveillance. She collaborates with researchers from computer science, marketing, and industry.
Frank Siewerdt
ANS 1407
301-405-7721
siewerdt at umd.edu
I am currently interested in group selection theory. My work concentrates on the development and validation of models in scenarios where animals are raised together. The theoretical foundations of these models were laid out by B. Griffing in the 1960s. The most important assumption is that the phenotype of a given trait is more generally described by: Pi = Gi + SGj + E + SEj, where SGj and SEj are the total genotypic and environmental effects that affect a phenotypic observation in a given individual. Classical breeding values can now be split into "direct" breeding values - those that relate to affecting individual performance - and "associative" breeding values - those that describe the ability to cooperate with other animals in the same environment. The effect of genetic bottlenecks on genetic variation loss is also of interest to this laboratory. Applications are especially targeted to exotic species kept in captivity (e.g., in zoos), with an outlook at reintroduction of captive specimens to the wild.

Keywords:
Quantitative and population genetics, selection theory,
applied statistical methods and experimental designs for genetics and the
biological sciences.
Eric V. Slud
MTH 2413
301-405-5469
evs at math.umd.edu
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
MTH 4404
301-405-5104
pjs at math.umd.edu
Categorical data analysis. Robust and nonparametric statistical methods. Applications of statistics, particularly in the biomedical sciences.
Jiuzhou Song
ANS 1121 ANSC
301-405-5943
songj88 at umd.edu
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.

Keywords:
Statistical genomics and bioinformatics

G.W. (Pete) Stewart
AVW 3263
301-405-2681
stewart at cs.umd.edu
My basic area of research is numerical linear algebra, taken broadly. It in includes the analysis, design, and implementation of matrix algorithms for linear systems and eigenvalue problems. Applications of this work include control theory, computational statistics, signal processing, queueing theory, and data mining.

Key Words and Phrases:
Numerical linear algebra, linear systems, eigenvalue problems, sparse matrices, Markov chains.

Piotr Swistak
TYD 1135B
301-405-4149
pswistak at gvpt.umd.edu
Mathematical Models In Social Science, Formal Theory, Behavioral Decision Theory, Methodology and Philosophy of Social Sciences.

Keywords:
Formal Political Theory

Istvan Szunyogh
CSS 4213
301-405-4841
szunyogh at ipst.umd.edu
T
Eitan Tadmor
CSI 4149
301 405-0648
tadmor at umd.edu
Research interests include the analysis of time-dependent problems governed by linear and nonlinear PDEs, the construction, analysis and implementation of novel high-resolution algorithms for the approximate solution of these problems, and the interplay between theory and computational aspects of such approximate methods.

Research topics include:
Approximate methods for linear time-dependent problems (Key words: stability, accuracy, difference schemes and spectral methods for initial- and initial-boundary value problems)

Hyperbolic problems with different time scales, Nonlinear convection diffusion problems (Key words: regularity, homogenization, incompressible Euler and critical thresholds in Euler dynamics)

Nonlinear conservation laws (Key words: entropy functions, regularity, kinetic formulations)

Approximate methods for nonlinear conservation laws and related problems (Key words: finite difference approximations, total-variation and entropy stability, convergence rate estimates, high-resolution central schemes for conservation laws, Hamilton-Jacobi and incompressible Euler eq's)

Spectral methods (Key words: spectral recovery and detection of edges in spectral data, stability and convergence of spectral methods, spectral viscosity approximations)

Image processing (Key words: multiscale representation)

Devarajan Thirumalai
IPT 1112
301-405-4803
thirum at umd.edu
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
AVW 2271
301-405-3669
andre at eng.umd.edu
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.
Steven A. Tretter
AVW 1337
301-405-3670
tretter at eng.umd.edu
Communication theory, Coding, Signal processing
Konstantina Trivisa
MTH 4103
301-405-5067
trivisa at math.umd.edu
Hyperbolic Systems of Conservation Laws, Models of Compressible Fluids, Variational Problems - Phase Transitions, Applications to Materials Science and Fluid Dynamics.

Keywords:
Nonlinear Partial Differential Equations

Athanasios E. Tzavaras
MTH 3312
301-405-5336
tzavaras at math.umd.edu
Dr. Tzavaras is interested in the analysis of partial differential equations that arise in various models of kinetic theory and in the passage from microscopic to macroscopic descriptions in physics. Specific current interests are: mathematical aspects of kinetic models for dilute polymeric liquids ; homogenization and multiscale wave propagation ; mathematics of transport equations ; elastodynamics and viscoelasticity.

Keywords:
Applied Partial Differential Equations, Kinetic theory and Continuum Physics.

V
Tobias Von Petersdorff
MTH 4416
301-405-5117
tvp at math.umd.edu
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

W
Stephen Wallace
PHY 2107
301-405-7128
stevewal at physics.umd.edu
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
MTH 4415
301-405-5116
lcw at math.umd.edu
Number theory, cyclotomic fields, elliptic curves, cryptology
Peter Wolfe
MTH 3314
301-405-5149
pnw at math.umd.edu
My Interests are Differential Equations, Numerical Analysis and Nonlinear Mechanics.
X
Y
Grace L. Yang
MTH 2311
301-405-5480
gly at math.umd.edu
James A. Yorke
CSS 4311
301-405-4875
yorke2 at ipst.umd.edu
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: http://yorke.umd.edu/current-projects.html Keywords:
Chaos, Weather Prediction, Genome, HIV/AIDS
Z
Michael R. Zachariah
EGR 2125
301-405-4311
mrz at umd.edu
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.

Keywords:
NanoParticle Science, Manufacturing and Measurements.

Evanghelos Zafiriou
CHE 1208A
301-405-6625
zafiriou at eng.umd.edu
Dr. Zafiriou's interests are in robust and nonlinear process control, control-relevant identification, and run-to-run and feedback control in semiconductor manufacturing.
Paul Zantek
VMH 4349
301-405-8644
pzantek at rhsmith.umd.edu
Dr. Zantek conducts research on the improvement of quality and productivity in operations, with a focus on methods for use in improvement initiatives such as Six Sigma. The goals of his research are to enhance the effectiveness of these methods and to develop improved methods or methods for new problems. In his research, he uses models and methods from various traditional disciplines, including economics, engineering, mathematics, and statistics.
Da-Lin Zhang
CSS 2413
301-405-2018
dalin at atmos.umd.edu
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.

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

Wenlu Zhu
CHE 1210A
301-405-1831
wzhu at geol.umd.edu

Dr. Wenlu Zhu's primary research interest is to understand fluid transport processes in the Earth's crust and mantle, and their geological implications. Using experimental, microstructural and theoretical approaches, she focuses on the relationship between permeability and pore structure in a wide range of geomaterials, including sedimentary rocks with applications to convergent margins, where tsunami generating earthquakes occur; partially molten rocks beneath mid-ocean ridges, where oceanic plates diverge and new crust is made; and deep sea hydrothermal vent deposits where unusual chemosynthetic microbial communities thrives. A better understanding of permeability-porosity relationship provides critical constraints in studying the effect of pore fluid, including water, CO2, and melt, on the mechanical and geochemical properties of these tectonic regions.

Keywords:

fluid flow, faulting and earthquakes, hydrothermal vents, accretionary prisms

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