List of Faculty in the Graduate Group in Applied Mathematics (GGAM)

GGAM comprises faculty members from departments across the campus, including its home, the Department of Mathematics. Below is a brief description of faculty research, links to personal and departmental web pages plus some "Related Courses" which can serve as a general study guideline for students interested in research with a particular faculty member. Students who want a more complete description of a faculty member's research interests are encouraged to contact them.

Choose a department below or list all faculty
Agricultural and Resource Economics Biomedical Engineering
Bodega Marine Laboratory Center for Neuroscience
Chemical Engineering and Materials Science Civil and Environmental Engineering
Computer Science Department of Pharmacology
Division of Biostatistics Economics
Electrical and Computer Engineering Environmental Science and Policy
Evolution and Ecology Geology
Graduate School of Management Land, Air and Water Resources
Mathematics Mechanical and Aeronautical Engineering
Neurobiology, Physiology and Behavior Neurology
Physics Radiology
Statistics

NameResearch/Related Courses
Abdel-Ghaffar, KhaledError correcting codes; discrete mathematics with applications
Aldredge, RalphAnalytical, computational and experimental studies of turbulent flame propagation; diamond synthesis via chemical vapor disposition; combustion instabilities; development of algorithms for the computational study of reactive-flow dynamics
Aue, AlexanderTime series analysis, structural break analysis, theoretical/mathematical questions arising in fields of application, such as economics, finance and environmental science.
[Related Courses]
Aviran, SharonComputational biology, mathematical modeling of biological systems, statistical signal processing and inverse problems with applications to genomics and structural biology, machine learning. In particular, I am interested in using probabilistic models and statistical inference to predict RNA structural dynamics from biochemical structure probing data and biophysical principles.
Bai, ZhaojunNumerical linear algebra (theory, algorithm development & analysis)
Barakat, A.I.Biofluid dynamics, cellular mechanics.
[Related Courses]
Benham, CraigBiomathematical Sciences
Biello, Joseph A.Multiscale asymptotics for PDEs; atmospheric science; fluid dynamics.
[Related Courses]
Bishop, MattComputer and information security, assurance, vulnerabilities analysis, design of secure systems and software, formal models of access control, network security, intrusion detection.
Bremer, JamesComputational harmonic analysis; harmonic analysis on graphs and manifolds; numerical analysis.
[Related Courses]
Buonocore, Michael H.Medical imaging, biofluid dynamics, and Inverse scattering problems.
Burman, PrabirDiscrete data, model fitting/selection, nonparametric curve estimation, nonparametric image analysis, asymptotic theory, time series.
Carmichael, OwenLate-life cognitive decline, neuroimaging, medical image analysis, computer vision, and 3D modeling.
[Related Courses]
Chang, Tsu-ShuanLinear and nonlinear programming, global optimization, neural networks, control systems and manufacturing systems.
Chattot, J.Characteristic based schemes; transonic flows; mesh generation.
Cheer, AngelaComputational fluid dynamics; mathematical biofluid dynamics; mathematical models in biology.
Chen, Shu-huaNumerical modeling in Atmospheric Science.
Cheng, Harry B.Information science and technology in design and manufacturing, computational science, numerical analysis, multimedia, real-time computing, robotics.
Crutchfield, JamesPhysics of computation, dynamical systems, statistical mechanics, structural complexity, evolutionary dynamics, machine learning, and distributed robotics.
[Related Courses]
D'Souza, RaissaNetwork theory, statistical physics, computational science, probability, applied math, cellular automata, and networking protocols.
Davidson, IanAlgorithm design for data mining and other areas of artificial intelligence. Applications to novel high impact areas of social importance.
[Related Courses]
De Loera, JesusDiscrete mathematics, algorithms in algebra and geometry.
[Related Courses]
Delplanque, Jean-PierreComputational and theoretical fluid dynamics and transport phenomena. Multiphase flows, inert and reactive; emerging materials processing methodologies; free surface and interfacial flows; microscale transport phenomena and fluidics; bioengineering applications.
Ditterich, JochenOur lab is interested in neural mechanisms underlying higher-order brain functions linking perception and action, especially decision making. We are working on answering the question how the brain processes sensory information and combines it with other information in order to select what action to take next and when to take that action. So far, these mechanisms have mainly been studied from a psychological point of view, whereas neurophysiologists have largely concentrated on lower-level mechanisms. We are trying to bridge this gap by utilizing both behavioral and neurophysiological methods and by using mathematical models for exploring potential neural mechanisms.
El-Farra, Nael H.Process conrol, dynamics and design; computational modeling and simulation.
Faller, RolandSimulation of soft-condensed matter by Monte Carlo or Molecular Dynamics simulation. Development of Advanced Simulation Techniques.
Fan, YueyueNetwork optimization, decision making under uncertainty, and civil infrastructure systems management, with an emphasis on applied mathematics.
Fannjiang, AlbertImaging, inverse problems, wave propagation, turbulent transport.
Farouki, Rida T.Geometrical algorithms and representations; computer-aided design and manufacturing; numerical analysis and scientific computing; particle simulation schemes (Coulomb systems); geometrical optics.
Freund, RolandNumerical linear algebra; iterative solution of large linear systems; dimension reduction of large-scale systems; linear algebra problems in information retrieval; sparse matrix computations; numerical solution of partial differential equations; computational photonics; algorithms for VLSI circuit and device stimulation; numerical problems in control theory; structured matrices; interior-point methods, large-scale optimization problems; semidefinite programming.
Ginn, Timothy R.Biochemical mixtures in the multiphase environment through the application of mathematical models within multidisciplinary collaborative settings.
[Related Courses]
Goldman, MarkComputational neuroscience
Gravner, JankoProbability; cellular automata.
[Related Courses]
Gronbech-Jensen, NielsNumerical analysis and methods for molecular modeling, self-assembly in molecular ensembles, computational molecular and statistical mechanics, radiation damage in crystalline materials, vortex dynamics, perturbation techniques for nonlinear oscillators and soliton systems, Josephson systems, superconducting device physics, phase-locking.
Grotjahn, RichardAtmospheric sciences general circulation, dynamics, numerical modeling, observations.
[Related Courses]
Gundes, A. NazliLinear and nonlinear systems; multi-input, multi-output feedback control systems; decentralized control design; robust and reliable control design.
Guy, RobertMathematical biology, mathematical modeling, Newtonian and non-Newtonian fluid dynamics, and numerical analysis.
Gygi, FrançoisNumerical methods of quantum mechanics; Large-scale parallel computing; Molecular dynamics.
[Related Courses]
Hafez, MohamedMechanical Engineering. Transonic aerodynamics, computational fluid dynamics; numerical solutions of partial differential equations.
Hamann, BerndComputert-aided geometric design (CAGD); Scientific Visualization and computer graphics; Grid/mesh generation (triangulation methods), computer vision (edge/feature detection), and robotics.
[Related Courses]
Harter, ThomasFlow and transport processes in ground water and in the vadose zone; stochastic analysis of such processes in heterogeneous porous systems; numerical modeling; assessment and remediation of ground water contamination; nonpoint source pollution of ground water; geostatistics.

Check out this site to view videos of a colloquium, Advanced Modeling Concepts for Environmental Sciences.

Hass, JoelMathematics, topology, differential geometry, mathematical physics.
Hastings, AlanEnvironmental Studies and Mathematics. Theoretical population biology including mathematical ecology and mathematical genetics; qualitative theory of differential equations, differential delay equations, bifurcation theory.
Hunter, John KelsoNonlinear wave propagation, continuum mechanics, singular perturbation methods, and nonlinear hyperbolic partial differential equations.
Izu, LeightonExperimental and computational cardiac dynamics; stability of calcium control system; origins of arrhythmias; optimal population variability.
Joy, KenComputer graphics, computer image synthesis, computer aided geometric design, parallel algorithms in computer graphics.
Kellogg, Louise H.Geodynamics (continuum mechanics applied to geologic problems). Computational fluid dynamics; models of convection in the Earth's mantle and viscoelastic deformation in the Earth's crust. http://www.keckcaves.org/
[Related Courses]
Koehl, PatriceMy research program focus on understanding protein structures. I am interested in characterizing their shapes using mathematical and computational approaches, and to use this information to improve our understanding of their stability. I am also interested in characterizing the subset of sequence space compatible with a protein structure: this is an indirect approach to understanding protein sequence evolution. In parallel, I am involved in the development of new algorithms for predicting the structure of a protein, based on its sequence. My department web pages are: http://www.cs.ucdavis.edu/people/faculty/koehl.html in CS and http://genomecenter.ucdavis.edu/koehl_cv.html at the Genome Center.
Koeppe, MatthiasMathematical optimization, in particular integer programming and mixed-integer programming; computational discrete mathematics
[Related Courses]
Largier, John L.Study of hydrodynamics and dispersion in coastal ocean, including bays, estuaries and nearshore. Dispersion problems related to environmental issues, e.g., water quality, population ecology, algal blooms, estuarine habitat. Hydrodynamic problems include stratified flow, surface wind forcing, flow-topography interactions (e.g., jets, wakes, boundary layers), and waves/tides/internal waves.
[Related Courses]
Levy, Bernard CMulitdimensional signal processing, statistical signal processing inverse problems, estimation and stochastic processes, linear systems theory, scientific computation.
[Related Courses]
Lewis, Timothy J.Mathematical physiology, neuroscience, cardiac electrophysiology.
Lin, C.-Y. CynthiaEnvironmental and natural resource economics, energy economics, industrial organization, game theory, optimal control theory, structural econometric estimation of dynamic optimization problems, structural econometric estimation of static and dynamic games, spatial analysis.
Miller, GregMy research interests include the development of numerical methods for the solution of complex problems in engineering and science, mostly at the continuum scale; Complex rheology: multiscale and continuum methods for incompressible viscoelastic flows; Multiphase flows: compressible and incompressible flows of fluids and elastic-plastic solids in time-dependent domains, interfacial processes; Constitutive modeling: equations of state, thermodynamic modeling, symmetry invariants; and Charged systems: plasma physics, boundary charge and bilayer problems.
[Related Courses]
Mogilner, AlexanderMathematical biology.
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Morris, BenjaminMarkov chain Monte Carlo, random walks on graphs, randomized algorithms, probability on trees.
Mueller, Hans-GeorgFunctional Data Analysis, Semiparametric Modelling, Applications in Biodemography, Genetics, Medicine, e-Commerce and Finance.
[Related Courses]
Mulase, MotohicoMathematics. Algebra, geometry, global analysis and mathematical physics.
Nachtergaele, Bruno L.Z.Mathematical physics; statistical mechanics; quantum spin systems; rigorous results in quantum mechanics and condensed matter physics; quantum information and computation.
[Related Courses]
Nathan, Terry R.Stability theory, asymptotic methods, nonlinear dynamics.
Owens, JohnMy research interest is parallel computing; our work primarily concentrates on the graphics processor (GPU) as a general-purpose, highly-parallel processor. We have extensive experience with both parallel algorithms and data structures as well as applications that benefit from parallel approaches.
[Related Courses]
Phillips, Ron J.Non-Newtonian fluid mechanics; suspension mechanics.
[Related Courses]
Pizzo, AlessandroQuantum Mechanics; Quantum Field Theory.
[Related Courses]
Powell, RobertFluid and suspension mechanics and rheology.
Puckett, Elbridge GerryNumerical solutions of PDEs, thermodynamics, phase transitions, combustion, droplets, geophysis.
Raychaudhuri, SubhadipComputational and theoretical modeling of cellular signaling, cell receptor clustering, diffusion of signaling molecules inside a tightly packed cell, the design principles of signaling networks, programmed cell death (apoptosis).
Rocke, DavidRobust statistics, computational statistics, game theory, quality control.
Rogaway, PhilipCryptography, including definitions, models, reductions, and proofs. Practice-oriented provable-security.
[Related Courses]
Romik, DanProbability and Combinatorics.
[Related Courses]
Rundle, John B.Computational science & engineering; complex multiscale systems; driven threshold systems, including earthquakes and neural networks; statistical physics.
Saito, NaokiApplied and computational harmonic analysis, statistical signal processing, image analysis, feature extraction, pattern recognition, potential theory,elliptic eigenvalue problems, geophysical inverse problems, human and machine perception.
[Related Courses]
Sanchirico, James N.Environmental and natural resource economics, mathematical ecology and epidemiology, optimal control theory, spatial and dynamic analysis of economic-ecological models, bioeconomic analysis, panel data econometric estimation.
Savageau, Michael A.Function, Design, and Evolution of Cellular and Molecular Networks
[Related Courses]
Schipper, BurkhardMicroeconomic Theory, Game Theory, Experimental Economics, Industrial Organization, Bounded Rationality
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Schreiber, Sebastian J.Applications of dynamical systems and stochastic processes to ecology, epidemiology, and evolution.
[Related Courses]
Schwarz, AlbertI work in quantum field theory and string theory applying methods of modern mathematics, especially topology, noncommutative geometry and arithmetic geometry.
[Related Courses]
Shkoller, SteveHyperbolic PDE, moving free-boundary and interface problems, mathematical fluid dynamics
[Related Courses]
Soshnikov, AlexanderRandom matrix theory; probability theory; mathematical physics; combinatorics.
[Related Courses]
Strohmer, ThomasNumerical analysis, applied harmonic analysis, digital signal processing, approximation theory, scientific computing.
[Related Courses]
Sukumar, N.Computational mechanics, fracture, finite element and meshfree methods, maximum-entropy approximations, partition-of-unity finite element methods in quantum mechanics, numerical analysis of PDEs
[Related Courses]
Temple, J. BlakeShock waves, general relativity, applied analysis.
[Related Courses]
Thomases, BeccaPartial differential equations, nonlinear elasticity, Newtonian and non-Newtonian fluid dynamics, mechanics of deformable solids.
[Related Courses]
Tracy, Craig A.Mathematical physics; statistical mechanics, the theory of exactly solvable models, completely integrable systems.
[Related Courses]
Tyson, Anthony research is in experimental physics and cosmology, which includes development of new astronomical surveys, new detectors, astronomical instrumentation and analysis algorithms -- aimed at unraveling the nature of dark energy and dark matter. I have developed cameras and analysis techniques for imaging of the distant, younger universe.
[Related Courses]
Ullrich, PaulMy research focuses largely on the design and evaluation of innovative modeling techniques that improve the accuracy and eciency of atmospheric general circulation models, and using these models to answer scienti c questions related to atmospheric dynamics and the interplay of dynamics on regional and global scales.
[Related Courses]
Walcott, SamMy research interest is primarily based in mathematical biology. In particular, I am interested in using mathematical models to predict macroscopic biological function from single molecule mechanics (mechanobiology). Topics of recent interest are muscle contraction and the response of cells to mechanical stimuli. This research benefits greatly from extensive experimental collaborations.
[Related Courses]
Wang, Jane-LingDimension reduction methods; functional data analysis; longitudinal data analysis; nonparametric functional estimation; aging research; survival analysis.
[Related Courses]
Wets, Roger J-BStochastic optimization, approximation theory for optimization problems, nonsmooth analysis.
Woodruff, DavidHeuristic search optimization techniques. Production and supply chain planning. Robust multivariate data analysis. Stochastic Programming (integer). Bioinformatics.
[Related Courses]
Xia, QinglanGeometric measure theory and its application; optimal mass transport problems; mathematical biology; geometric variational problems in singular spaces.
Zhang, MichaelVehicular traffic flow, network optimization and control of transportation systems.
[Related Courses]
Zhao, QingStochastic optimization, sequential decision theory, random graph and percolation, combinatorics, and their applications in dynamic systems, in particular, communication systems and social networks.
[Related Courses]