Math @ Duke

Mathematics : Research Interests
Professor  Pankaj K. Agarwal, Adaptation, Biological, Algorithms, Amino Acid Sequence, Approximation algorithms, Base Pair Mismatch, Bayes Theorem, Biodiversity, Chromosome Mapping, Computational Biology, Data Interpretation, Statistical, DNA Transposable Elements, Ecology, Ecosystem, Forecasting, Models, Biological, Models, Chemical, Models, Molecular, Models, Statistical, Models, Theoretical, Navigation, Plant Transpiration, Plants, Protein Conformation, Proteins, Sensitivity and Specificity, Sequence Alignment, Sequence Analysis, DNA, Sequence Analysis, Protein, Software, Species Specificity, Stochastic Processes, Time Factors, Visibility
 Paul S. Aspinwall, String Theory
 Hubert Bray, Geometric Analysis, General Relativity, Theoretical Astrophysics
 Robert Bryant, Nonlinear Partial Differential Equations and Differential Geometry
 John E. Dolbow, Animals, Approximation theory, Continuum mechanics, Elasticity, Finite Element Analysis, Fracture mechanics, Friction, Humans, Hydrodynamics, Lipid Bilayers, Materials Testing, Membrane Fluidity, Membrane Microdomains, Surface Properties, Thermodynamics
 David B. Dunson, Nonparametric Bayes, Latent variable methods, Model uncertainty, Applications in epidemiology & genetics, Machine learning
 Richard T. Durrett, Mathematical Concepts, Models, Biological, Models, Statistical, Models, Theoretical, Population Dynamics, Probability
 Richard Hain, Topology of Algebraic Varieties, Hodge Theory, and Moduli of Curves
 John Harer, Computational Topology, Computational Biology, Algorithms
 Anita T. Layton, Mathematical physiology; Multiscale numerical methods; Numerical methods for immersed boundary problems.
 Harold Layton, Mathematical Physiology
 JianGuo Liu, Applied Mathematics, Nonlinear Partial Differential Equations.
 Jonathan C. Mattingly, Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids
 Ezra Miller, Geometry, algebra, combinatorics, algorithms, probability, statistics, biology, neuroscience and other applications
 Sayan Mukherjee, Computational biology, geometry and topology, machine learning
 Lenhard L. Ng, Symplectic geometry, Low dimensional topology, Contact geometry, Knot theory, Holomorphic curves
 William L. Pardon, Algebra and Geometry of Varieties
 Arlie O. Petters,
...
 Ronen Plesser, String Theory and Quantum Field Theory
 Michael C. Reed, Analysis, Applications of Mathematics to Physiology and Medicine
 Leslie Saper, Locally symmetric varieties, Number theory and automorphic forms,
L^{2}cohomology and intersection cohomology, Geometrical analysis of singularities
 Guillermo Sapiro, Image and video processing, computer vision, computer graphics,
computational vision, ...
 Chad Schoen, Algebraic Geometry
 Mark A. Stern, Geometric Analysis, YangMills theory, Hodge theory, string theory
 Stephanos Venakides, Integrable systems, Wave motion in complex media, Mathematical biology
 Thomas P. Witelski, Fluid Dynamics, Perturbation Methods, Asymptotic Analysis, Nonlinear Ordinary and Partial differential equations
Associate Professor  Jianfeng Lu, Mathematical analysis and algorithm development for problems from
computational ...
 James H. Nolen, Partial differential equations, stochastic processes, random media, applied mathematics, asymptotic analysis
Assistant Professor  Jayce R. Getz, Number theory
Assistant Research Professor  Paul L Bendich, I work in computational topology, which for me means adapting ...
 Heekyoung Hahn, Automorphic Lfunctions, Relative trace formula, Algebraic cycles and Representations of the classical groups
 Caroline TurnageButterbaugh, analytic number theory
Professor of the Practice of Mathematics  Clark Bray, Algebraic Topology
Adjunct Professor  Jonathan M Wahl, Algebraic Geometry
Professor Emeriti  William K. Allard, Scientific computing, particularly distributed computing; differential geometry; geometric measure theory; partial differential equations.
 J. Thomas Beale, Partial Differential Equations, Fluid Mechanics, Numerical Methods
 Lewis D. Blake, Teaching mathematics ...
 Jack Bookman, Mathematics Education
 Richard E. Hodel, Settheoretic Topology, set theory, logic
 Joseph W. Kitchen, Functional Analysis
 David P. Kraines, Algebraic Topology and Game Theory
 Lawrence C. Moore, Mathematics Education and Functional Analysis
 David G. Schaeffer, Applied Mathematics, especially Partial Differential Equations
 David A. Smith, Mathematics Education
 John A. Trangenstein, Adaptive mesh refinement, Multigrid preconditioners
 Xin Zhou, Partial Differential Equations and Integrable Systems
Instructor  Michael Abel, Categorified Quantum Link Invariants
Lecturer  Rann BarOn, Mathematics Education
 Brian D Fitzpatrick, Algebraic Geometry, Category Theory, Homological Algebra
Visiting Faculty  Marc D. Ryser, Bone and Bones, Bone Neoplasms, Bone Resorption, Chemotaxis, Computational Biology, Computer Simulation, Fractures, Bone, Gene Expression Profiling, Homeostasis, MetaAnalysis as Topic, Models, Biological, Osteoblasts, Osteoprotegerin, Parathyroid HormoneRelated Protein, RANK Ligand, Solubility, Time Factors
Other  Mauro Maggioni, Harmonic analysis, with applications to statistical analysis of highdimensional data, machine learning, imaging.
Graduate Student  Gavin F. Ball, Differential geometry, exterior differential systems
 Erin M. Beckman, Partial differential equations, Probability, Stochastic processes
 Michael M. Bell, Differential Geometry, Exterior Differential Systems, Holonomy, Calibrations
 Joshua D. Cruz, I am a student of Les Saper, with broad interests ...
 Hamza M. Ghadyali, Topological Data Analysis (TDA)
 Shalla D. Hanson, Dynamic Optimization of Antitumor Immunity in Rapidly Mutating Cancers
 Ma Luo, De Rham theory, Hodge theory, periods and fundamental groups of algebraic varieties, especially those of moduli spaces of curves.
 Robert J. Ravier, In undergrad, I was one of many people involved in ...
 Dmitry Vagner, categorification and diagrammatic algebra with applications to lowdimensional topology and representation theory
 Darryl G. Wade, Topological data analysis, other applications of topology
 Jieren Xu, medical imaging, Poisson denoising and convex optimization
 Dong Yao, Probability
 Zhiyong Zhao, Exterior Differential System, Calibrated Geometry


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

