Research Directory
Areas
Applied & Computational Math
Faculty  Research Area  
Appel, Andrew 
Computer security; information technology policy; election technology; programming languages; compilers; programming language semantics; program analysis; program verification; machinechecked proofs 



Arora, Sanjeev 
Theoretical computer science; computational complexity; uses of randomness in computation; probabilistically checkable proofs (PCPs); computing approximate solutions to NPhard problems; geometric embeddings of metric spaces 



Brynildsen, Mark 
Hostpathogen Interactions; Bacterial Persistence; Biofilms 



Carmona, Rene 
Mathematical analysis of energy and emission markets; gas and electricity trading; design of capandtrade schemes; models and computational methods for the equity and credit markets 



Carter, Emily 
Alternative energy; energy efficiency; security; solar cells/ photovoltaics; solar fuels/photocatalysis; lightweight alloys for fuelefficient vehicles and armor; fusion reactor materials; solid oxide fuel cells; biofuel combustion; protective coatings for metals; quantum mechanics simulation tools 



Chazelle, Bernard 
Graphics and computational geometry; computer science theory 



Chiang, Mung 
The architectures and algorithms for broadband access networks; nonlinear optimization of communication systems 



Debenedetti, Pablo 
Protein storage and preservation; bioavailability of therapeutic compounds; selfcleaning surfaces; carbon capture and storage; ice formation in the atmosphere; liquidstate theory; theory of the glass transition; theory of nucleation; protein thermodynamics; molecular simulation 



Dobkin, David 
Creating images of mathematical objects and animations of geometric algorithms 



Dvir, Zeev 
Computational complexity, pseudorandomness, coding theory and discrete mathematics. 



Fan, Jianqing 
Statistics; biostatistics and bioinformatics; quantitative finance; machine learning; risk modeling and analysis; portfolio management; asset pricing; time series analysis, longitudinal data analysis; survival analysis 



Fleischer, Jason 
Nonlinear optics and photonics; soliton dynamics; statistical and condensedmatter physics 



Haataja, Mikko 
Theoretical and computational materials science; physics of materials; physical biology; microstructure formation 



Holmes, Philip 
Nonlinear dynamics and differential equations; mathematical modeling of solid, fluid, and biological systems; neuromechanics of legged locomotion and swimming; cognitive control and decision making 



Kevrekidis, Yannis 
Complex/multiscale systems modeling and computation; process dynamics and spatiotemporal pattern formation; fuel cell engineering; nonlinear system identification and control 



Leonard, Naomi 
Control theory, involves designing and analyzing methods for influencing the behavior of complex, dynamical systems using feedback 



Liu, Han 
Using computation and data as lens to explore science and intelligence. Nonparametric methods to infer from highdimensional data with weakest possible assumptions; Graphical models for a unified framework that combines uncertainty (probability theory) and logical structure (graph theory) to model complex, realworld phenomena. 



Lyon, Stephen 
Optical processes in semiconductors; ultrafast processes and nonequilibrium transport; semiconductor nanostructures; quantum computing 



Martinelli, Luigi 
Simulation of viscous flow past complex configurations with application to aircraft and ship design 



Martonosi, Margaret 
Computer architectures and the hardware/software interface, particularly powerefficient systems, hardwaresoftware interface issues, and most recently, powerefficient wireless networks. 



Massey, William 
Stochastic models and queuing theory; performance and pricing models for telecommunications systems; symptotic analysis and stochastic bounds for queueing networks; theories of queues with timevarying rates, stochastic networks 



Mueller, Michael 
Highfidelity numerical modeling of turbulent combustion. Applications to improving efficiency and performance, minimizing emissions, and reducing cost in reciprogating engines, aircraft engines, and stationary gas turbines. 



Poor, Vincent 
Statistical signal processing; wireless networks; stochastic analysis 



Prevost, JeanHerve 
Computational solid mechanics; wave propagation and transient effects in porous media; nonlinear constitutive theories; dynamic instabilities and localization of deformations in solids; thermoelasticity; electromagnetosolid interaction effects; finite element methods; geotechnical engineering; earthquake engineering; centrifuge soil testing; topology optimization; delayed fracture in MEMS; cracks propagation in microstructures 



Prucnal, Paul 
Photonic switching; fiberoptic networks; optical interconnects 



Ramadge, Peter 
Video and image processing; adaptive systems; adaptive signal processing; adaptive control; discreteevent systems, optimization of queueing systems; video analysis, annotation and search 



Rowley, Clarence 
Fluid flows from a dynamical systems point of view; modeling and model reduction for bifurcation analysis and control; numerical methods, both for fluids simulations, and analysis of dynamical systems; applications of geometric methods in fluid mechanics 



Shkolnikov, Mykhaylo 
Applying stochastic analysis to problems in random matrix theory and stochastic portfolio theory. Various topics in probability theory and partial differential equations: interacting particle systems, random growth models, concentration of measure, large deviations, random operators, probabilistic approach to hyperbolic and parabolic partial differential equations. 



Shvartsman, Stanislav 
Quantitative analysis of pattern formation and morphogenesis in developing tissues; genetics, genomics, and computational studies of signaling pathways; reaction engineering and transport processes 



Singh, Jaswinder 
Boundary of applications and computer systems; interdisciplinary research in computer and application sciences; methods for information discovery, extraction, routing and dissemination; use of highperformance computing in biology/medicine and graphics/visualization 



Singh, Mona 
Computational biology and bioinformatics; computational science 



Sircar, Ronnie 
Security pricing; stochastic models of finance; numerical methods and approximations of solutions; modeling and statistics of volatility; stochastic differential equations and computational methods 



Stengel, Robert 
Systems biology, including optimization of disease therapy and analysis of genetic data; robust, optimal, and adaptive control of physical systems; stochastic design methods; computational neural networks; aircraft flight dynamics 



Sundaresan, Sankaran 
Granular and multiphase flow; chemical reactor design, stability and dynamics; origin and hierarchy of mesoscale structures in twophase flows; coarsened equations of motion for twophase flows; contact stresses in granular assemblies; role of static electrification on gasparticle flows 



Troyanskaya, Olga 
Genomic data integration; microarray analysis; gene and protein function prediction; detection and analysis of chromosomal abnormalities; evaluation and validation of computational predictions; algorithms for integration of data from multiple data sources; visualization of biological data; machine learning methods in bioinformatics 



van Handel, Ramon 
Probability theory and its interactions with other fields: Conditional phenomena, highdimensional probability, and ergodic theory. 



Vanderbei, Robert 
Telescope design for searching for extrasolar planets; highcontrast imaging; diffractive optics; financial portfolio selection; convex optimization; multiobjective optimization; stochastic dominance; stability of Saturn's rings; astrophysics; stable solutions to the nbody problem 



Verdu, Sergio 
Information theory; data compression; data transmission; signal processing for digital communications 



Zondlo, Mark 
Climate; atmospheric sciences: sensors and remote sensing; cloud formation; the role of aerosol particles in atmospheric chemistry and air quality 