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 Anesthesiology and Pain Medicine
Applied Science Biomedical Engineering
Bodega Marine Laboratory Center for Computational Science and Engineering
Center for Neuroscience Chemical Engineering and Materials Science
Civil and Environmental Engineering Computer Science
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

all

Name Research/Related Courses
Abdel-Ghaffar, Khaled Error correcting codes; discrete mathematics with applications
Aldredge, Ralph Analytical, 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
Bai, Zhaojun Numerical linear algebra (theory, algorithm development & analysis)
Barakat, A.I. Biofluid dynamics, cellular mechanics.
[Related Courses]
Benham, Craig Biomathematical Sciences
Biello, Joseph A. Multiscale asymptotics for PDEs; atmospheric science; fluid dynamics.
[Related Courses]
Bishop, Matt Computer and information security, assurance, vulnerabilities analysis, design of secure systems and software, formal models of access control, network security, intrusion detection.
Bremer, James Computational harmonic analysis; harmonic analysis on graphs and manifolds; numerical analysis.
[Related Courses]
Buonocore, Michael H. Medical imaging, biofluid dynamics, and Inverse scattering problems.
Burman, Prabir Discrete data, model fitting/selection, nonparametric curve estimation, nonparametric image analysis, asymptotic theory, time series.
Carmichael, Owen Late-life cognitive decline, neuroimaging, medical image analysis, computer vision, and 3D modeling.
[Related Courses]
Chang, Tsu-Shuan Linear and nonlinear programming, global optimization, neural networks, control systems and manufacturing systems.
Chattot, J. Characteristic based schemes; transonic flows; mesh generation.
Chau, Ling-Lie (Professor Emerita) Integrable-system approach to 4-d quantum field theory and normal-matrix model.
Cheer, Angela Computational fluid dynamics; mathematical biofluid dynamics; mathematical models in biology.
Chen, Shu-hua Numerical 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, James Physics of computation, dynamical systems, statistical mechanics, structural complexity, evolutionary dynamics, machine learning, and distributed robotics.
[Related Courses]
D'Souza, Raissa Network theory, statistical physics, computational science, probability, applied math, cellular automata, and networking protocols.
Davidson, Ian Algorithm design for data mining and other areas of artificial intelligence. Applications to novel high impact areas of social importance.
[Related Courses]
De Loera, Jesus Discrete mathematics, algorithms in algebra and geometry.
[Related Courses]
Delplanque, Jean-Pierre Computational 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, Jochen Our 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, Roland Simulation of soft-condensed matter by Monte Carlo or Molecular Dynamics simulation. Development of Advanced Simulation Techniques.
Fan, Yueyue Network optimization, decision making under uncertainty, and civil infrastructure systems management, with an emphasis on applied mathematics.
Fannjiang, Albert Partial differential equations.
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, Roland Numerical 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.
Goldman, Mark Computational neuroscience
Gravner, Janko Probability; cellular automata.
[Related Courses]
Grotjahn, Richard Atmospheric sciences general circulation, dynamics, numerical modeling, observations.
[Related Courses]
Gundes, A. Nazli Linear and nonlinear systems; multi-input, multi-output feedback control systems; decentralized control design; robust and reliable control design.
Guy, Robert Mathematical biology, mathematical modeling, Newtonian and non-Newtonian fluid dynamics, and numerical analysis.
Gygi, François Numerical methods of quantum mechanics; Large-scale parallel computing; Molecular dynamics.
[Related Courses]
Hafez, Mohamed Mechanical Engineering. Transonic aerodynamics, computational fluid dynamics; numerical solutions of partial differential equations.
Hamann, Bernd Computert-aided geometric design (CAGD); Scientific Visualization and computer graphics; Grid/mesh generation (triangulation methods), computer vision (edge/feature detection), and robotics.
[Related Courses]
Harter, Thomas Flow 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, Joel Mathematics, topology, differential geometry, mathematical physics.
Hastings, Alan Environmental Studies and Mathematics. Theoretical population biology including mathematical ecology and mathematical genetics; qualitative theory of differential equations, differential delay equations, bifurcation theory.
Hunter, John Kelso Nonlinear wave propagation, continuum mechanics, singular perturbation methods, and nonlinear hyperbolic partial differential equations.
Jensen, Niels Gronbech Numerical 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.
Joy, Ken Computer 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, Patrice My 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, Matthias Mathematical optimization, in particular integer programming and mixed-integer programming; computational discrete mathematics
[Related Courses]
Kollmann, Wolfgang Turbulence; turbulent combustion; numerical simulation of turbulent flows.
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 C Mulitdimensional 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. Cynthia Environmental 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.
Marino, M.A. Simulation & optimization of hydrologic & water resource systems.
Mogilner, Alexander Mathematical biology.
[Related Courses]
Morris, Benjamin Markov chain Monte Carlo, random walks on graphs, randomized algorithms, probability on trees.
Mueller, Hans-Georg Functional Data Analysis, Semiparametric Modelling, Applications in Biodemography, Genetics, Medicine, e-Commerce and Finance.
[Related Courses]
Mulase, Motohico Mathematics. 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.
Phillips, Ron J. Non-Newtonian fluid mechanics; suspension mechanics.
[Related Courses]
Pizzo, Alessandro Quantum Mechanics; Quantum Field Theory.
[Related Courses]
Powell, Robert Fluid and suspension mechanics and rheology.
Puckett, E. Gerry Numerical solutions of PDEs, thermodynamics, phase transitions, combustion, droplets, geophysis.
Raychaudhuri, Subhadip Computational 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, David Robust statistics, computational statistics, game theory, quality control.
Rogaway, Phillip Cryptography, distributed computing, network security, protocols, theory of computation.
Rundle, John B. Computational science & engineering; complex multiscale systems; driven threshold systems, including earthquakes and neural networks; statistical physics.
Saito, Naoki Applied 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, Burkhard Microeconomic Theory, Game Theory, Experimental Economics, Industrial Organization, Bounded Rationality
[Related Courses]
Schreiber, Sebastian J. Applications of dynamical systems and stochastic processes to ecology, epidemiology, and evolution.
[Related Courses]
Schwarz, Albert I work in quantum field theory and string theory applying methods of modern mathematics, especially topology, noncommutative geometry and arithmetic geometry.
[Related Courses]
Shkoller, Steve Geometric and nonlinear PDEs, geometry, hydrodynamics.
Smith, Anne Computational neuroscience.
Soshnikov, Alexander Random matrix theory; probability theory; mathematical physics; combinatorics.
[Related Courses]
Strohmer, Thomas Numerical analysis, applied harmonic analysisk digital signal processingk approximation theory, scientific computing.
[Related Courses]
Sukumar, N. Computational solid mechanics, fracture mechanics, microstructural modeling, finite element and meshless methods, level set methods, computational geometry, numerical analysis of PDEs, object-oriented programming.
[Related Courses]
Temple, J. Blake Shock waves, general relativity, applied analysis.
[Related Courses]
Thomases, Becca Partial 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]
Vemuri, V. Rao Artifical neural networks, artifical life; simulation and modeling, computer architecture; optimization, genetic algorithms.
[Related Courses]
Wang, Jane-Ling Dimension reduction methods; functional data analysis; longitudinal data analysis; nonparametric functional estimation; aging research; survival analysis.
[Related Courses]
Wets, Roger J-B Stochastic optimization, approximation theory for optimization problems, nonsmooth analysis.
Woodruff, David Heuristic search optimization techniques. Production and supply chain planning. Robust multivariate data analysis. Stochastic Programming (integer). Bioinformatics.
[Related Courses]
Xia, Qinglan Geometric measure theory and its application; optimal mass transport problems; mathematical biology; geometric variational problems in singular spaces.
Xiao, Hong Numerical computing, integral equations, band-limited functions and applications, signal processing.
Zhang, Michael Vehicular traffic flow, network optimization and control of transportation systems.
[Related Courses]


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