522 Clark Hall
Computational studies from first principles of mechanical properties of materials, electronic and spectroscopic signatures of extended crystalline defects, properties of nanoscale devices and fundamental processes involved in crystal growth. Development of new techniques for these studies, including the use of wavelets in scientific computing and novel design principles for parallel software.
335 Rhodes Hall
Design of parallel algorithms and architectures for signal processing, new parallel algorithms for real-time matrix computations; techniques for mapping composite tasks onto parallel architectures; algorithms for space-time adaptive processing of airborne radar data.
223 Rhodes Hall
My research interests include machine learning, high-dimensional and robust statistics, and optimization. Some of the topics that I am interested in are sparse recovery and compressed sensing, robust matrix completion and PCA, graph clustering and community detection in networks, mixture problems, large-scale learning and optimization, computational and statstistical tradeoffs, and non-convex statistical algorithms.
124 Olin Hall
Multiscale computational studies of traditional (silicon-based) and non-traditional (organic) semiconductors, especially the optimization and understanding of manufacturing processes used to fabricate electronic devices and design potentially improved semiconductor materials. Major emphasis is on atomic-scale modeling, but multi-scale techniques are used to cover multiple length- and time- scales.
246 Upson Hall
Turbulence physics, direct numerical simulations, spectral modeling, and probability density function modeling. Areas of interest include: cloud physics; aerosol transport, clustering and high-speed particle tracking; premixed and non-premixed combustion; scalar mixing modeling with/without chemical reaction; polymer drag reduction; fundamental study of homogeneous turbulent shear flow; and high-performance computing.
208 Riley-Robb Hall
Modeling of heat and mass transfer, fluid flow and some solid mechanics in biological and biomedical processes. We make physics-based numerical models of food processes to be able to optimize product, process and equipment for improved quality and safety. Also, these models can be used to build automated appliances/ machinery that provide custom quality. In biomedical applications, the goal of modeling is to obtain better insight into procedures and be able to optimize them.
196 Rhodes Hall
Mechanics and materials science associated with deformation processes of polycrystalline materials. The general aim of the research is to integrate modern constitutive theories for the mechanical behavior of these materials into rigorous mechanics frameworks and to solve the resulting systems of equations by numerical techniques. The end goal is a more fundamental understanding of the relation between a material’s microstructure state and its derivative mechanical properties.
250 Upson Hall
Large-scale numerical modeling of turbulent reacting multiphase flows with industrial application using world-class parallel computers. Numerical methods and models to investigate the multi-scale and multi-physics fluid mechanics problems that arise in a range of engineering devices, such as combustors or biomass reactors.
105 Hollister Hall
My research focuses on the numerical simulation of small-scale fluid flow processes in the natural environmental, particularly, the interplay between turbulence and internal gravity waves, and the resulting mixing, in stratified waters near and away from boundaries. As a result, am interested in higher-ord (spectral) accuracy element-based methods, parallel large-scale computation and the associated numerical linear algebra tools.
365 Hollister Hall
My research is concerned with developing novel algorithmic and computational approaches that enable new understanding concerning the actual condition, and future performance of complex engineered and natural systems. Practical challenges concerning the principled treatment of uncertainty, sparse sensing, and the complex multi-physics response modalities of the real-world are motivational in my work. The intellectual themes that underpin my research are: computational mechanics, high performance computing, and applied mathematics. Problems of interest to me occur in the domains of engineering and applied science.
E339A Corson Hall
Theoretical population biology and evolutionary ecology. Modeling, mathematics, and simulation in collaboration with experimental biologists. The interface between theory, modeling, and empirical ecology, and the use of dynamic models as tools for identifying the mechanisms behind the observed dynamics of ecological systems.
377 Olin Hall
The development and application of modeling and simulation methods to elucidate the structure-property relationship of soft materials. Construction of statistical mechanical models and solution via molecular dynamics or Monte Carlo methods. Synthesis of Monte Carlo methods into generalized frameworks.
G-12 Baker Laboratory
Bound state and reaction dynamics of molecular and atomic systems; intramolecular vibrational energy transfer, unimolecular dissociation, and collisional energy transfer. Classical trajectory methods, semiclassical theories, and direct solution of the nuclear Schrodinger equation are employed as appropriate to investigate fundamental problems in intramolecular and collision dynamics.
324 Hollister Hall
Transportation systems, environmenal science (especially air quality and climate change), energy, and sustainable development. Sustainable food systems, quantifying and mitigating green-house gas emissions from food supply chains.
230 Rhodes Hall
Discrete-event simulation, from input analysis (for example, extension of simple input models to capture correlation between inputs) to output analysis (for example, using martingales in simulation to achieve variance reduction). The interplay between optimization and simulation. Structured simulation optimization, where the optimization problem enjoys certain properties, like convexity or quasi convexity, that can be exploited to develop algorithms that are robust and fast. Applications in this area include radiation treatment planning, call center planning, yacht match racing, ambulance deployment, adaptive Monte Carlo and policy identification in complex networks.
218 Rhodes Hall
Much of my research career has focused on optimization problems arising in inventory systems (production, distribution, and supply chain) for which approximations are required to get tractable solution algorithms. Recently, I have been exploring robust optimization as a tool to develop such algorithms in a more standardized way. I am currently co-advising a student in an attempt to use robust optimization to justify a production policy we have been unable to show as optimal using traditional methods.
340 Olin Hall
Integration of continuum analysis with molecular details in polymeric materials processing. Areas of current interest include the microstructural rheology and processing of complex fluids, the formation of nanofibers via electrospinning , the occurrence of purely elastic instabilities in polymer flows, and the solid state processing of advanced polymeric materials. Comparison of experimental results with numerical simulation.
147 Goldwin Smith Hall
Quantum field theory; renormalization techniques and effective field theory, with applications in particle physics, condensed matter physics, and nuclear physics; numerical quantum field theory and lattice QCD; Standard Model physics; heavy-quark physics; high-precision atomic physics and QED; computational physics and physics pedagogy
208B Baker Laboratory
The dynamics of molecules in condensed phases control phenomena ranging from biological processes to the course of liquid phase chemical reactions to the mechanical properties of materials. Our group develops theoretical methods for interpreting and predicting the motions of both small molecules and macromolecules in the liquid state. A principal research area is the development of semiclassical approximations to quantum mechanics that can be applied to the interpretation of multidimensional infrared spectroscopy of biomolecules.
626 Rhodes Hall
Molecular and cell biology (specifically, the functioning of regulatory and signaling networks in cells) and to related questions concerning the organization and evolution of complex, adaptive, information processing systems.
1117 Bradfield Hall
Dynamics of the climate system and development of robust regional climate projections using both numerical models and statistical tools, with a particular focus on variables of relevance to large infrastructure and high-value assets. Continuous measurements of ultrafine particle concentrations and fluxes at a range of terrestrial and marine sites. Regional aerosol modeling using WRF-Chem and innovative methods for deriving aerosol properties from ground-based and satellite-based remote sensing observations.
Sustainable water management given conflicting demands from renewable energy systems, ecosystem services, expanding populations, and climate change. Tools bridging sustainability science, risk management, economics, multiobjective decision making, operations research, computer science, high performance computing and advanced spatiotemporal visualization and uncertainty modeling techniques.
412 Physical Sciences Building
Materials science, including crackling noise and avalanches in magnetic systems, tweed in shape-memory alloys, accelerated simulations of surface growth, Arrhenius law for double jumps; glasses, including metallic glasses, low temperature glasses, slow relaxation, and scaling theories of the glass transition; disordered systems.
232 Rhodes Hall
Design and analysis of efficient algorithms for discrete optimization problems, in particular, approximation algorithms for NP-hard and other computationally intractable problems, the development of algorithmic tools that lead to approximation algorithms for which good performance guarantees can be proved.
346 Olin Hall
Stability analysis when a small disturbance triggers a dramatic change. Examples include breaking of an object (mechanics), the thermal runaway of a reactor (chemistry), the reversal of the earth's magnetic field (geophysics), and the onset of global climate change (climatology). Instability results from an imbalance that carries the system away from the sometimes delicate balance represented by equilibrium.
223 Rhodes Hall
Large-scale resource allocation problems under uncertainty. Techniques involve dynamic programming, stochastic optimization, machine learning and stochastic approximation to tackle problems whose conventional dynamic programming formulations involve high-dimensional vector-valued state variables. Research exploits structural properties of the underlying problem (such as monotonicity, convexity, submodularitry) to enhance performance. Applications in the areas of dynamic fleet management and inventory control. Other research interests include pricing problems that arise in conjunction with the allocation of resources over complex physical networks under uncertainty. Such problems arise in freight, data transmission capacity and airfare pricing.
Malott Hall 589
I am interested in the study and development of numerical algorithms in applied mathematics. I mainly work in the following three areas: (1) Novel spectral methods for the solution of differential equations, (2) The asymptotics of special functions for image reconstruction, convolution, and quadrature, and (3) Numerical algebraic geometry for the solution of polynomial systems.
235 Rhodes Hall
Integer programming, discrete optimization models. Applications in resource allocation, production and distribution of commodities, routing and sequencing in networks representing processes of computation, communication, and production, optimal location of product distribution centers or emergency public service centers, optimal layout of networks.
244 Olin Hall
Mathematical modeling, simulation and analysis techniques applied to problems in oncology, immune system function, and cell-cycle and cell-death network dynamics. Key areas of study include (i) the characterization and solution of multiscale reaction-diffusion problems that underlie the efficacy of Ligand Targeted Therapies (LTT) in B-cell cancers and solid tumor carcinomas and (ii) the immune system response to pathogens. Problems in therapeutic protein design, expression and recovery.
430 Malott Hall
Fast methods for problems in which the direction of information flow can be used to speed up the computations; numerical schemes for non-linear static PDEs; Ordered Upwind Methods (OUMs) for the PDEs arising in the anisotropic exit-time optimal trajectory problems; problems in anisotropic (and hybrid) control and in front propagation.
373 Hollister Hall
Understanding the connection between microscopic physical phenomena and the macroscopic deformation and failure of engineering materials by coupling cutting-edge computing technologies with state-of-the-art simulation techniques.
323 Thurston Hall
Phenomena in a broad range of physical and biological systems, e.g., understanding the intricacies of unsteady aerodynamics through insect flight and falling leaves. Themes include turbulence, computational fluid dynamics, localization in disordered systems, and general spectral theory of non-Hermitian random matrices and its application to advection-diffusion systems.
344 Olin Hall
Structural evolution and particle transport in 3D micro-confined suspensions; slow evolution during and sudden release from kinetic arrest in colloidal gels and glasses; and development of a broad non-equilibrium "equation of state", a generalization of Einstein's equilibrium theory.