Department of Mathematics
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Math @ Duke




Mathematics : Research Interests


  1. 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
  2. Paul S. Aspinwall, String Theory
  3. Hubert Bray, Geometric Analysis, General Relativity, Theoretical Astrophysics
  4. Robert Bryant, Nonlinear Partial Differential Equations and Differential Geometry
  5. 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
  6. David B. Dunson, Nonparametric Bayes, Latent variable methods, Model uncertainty, Applications in epidemiology & genetics, Machine learning
  7. Richard T. Durrett, Mathematical Concepts, Models, Biological, Models, Statistical, Models, Theoretical, Population Dynamics, Probability
  8. Richard Hain, Topology of Algebraic Varieties, Hodge Theory, and Moduli of Curves
  9. John Harer, Computational Topology, Computational Biology, Algorithms
  10. Anita T. Layton, Mathematical physiology; Multiscale numerical methods; Numerical methods for immersed boundary problems.
  11. Harold Layton, Mathematical Physiology
  12. Jian-Guo Liu, Applied Mathematics, Nonlinear Partial Differential Equations.
  13. Jonathan C. Mattingly, Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids
  14. Ezra Miller, Geometry, algebra, combinatorics, algorithms, probability, statistics, biology, neuroscience and other applications
  15. Sayan Mukherjee, Computational biology, geometry and topology, machine learning
  16. Lenhard L. Ng, Symplectic geometry, Low dimensional topology, Contact geometry, Knot theory, Holomorphic curves
  17. William L. Pardon, Algebra and Geometry of Varieties
  18. Arlie O. Petters, ...
  19. Ronen Plesser, String Theory and Quantum Field Theory
  20. Michael C. Reed, Analysis, Applications of Mathematics to Physiology and Medicine
  21. Leslie Saper, Locally symmetric varieties, Number theory and automorphic forms,
    L2-cohomology and intersection cohomology, Geometrical analysis of singularities
  22. Guillermo Sapiro, Image and video processing, computer vision, computer graphics, computational vision, ...
  23. Chad Schoen, Algebraic Geometry
  24. Mark A. Stern, Geometric Analysis, Yang-Mills theory, Hodge theory, string theory
  25. Stephanos Venakides, Integrable systems, Wave motion in complex media, Mathematical biology
  26. Thomas P. Witelski, Fluid Dynamics, Perturbation Methods, Asymptotic Analysis, Nonlinear Ordinary and Partial differential equations

Associate Professor

  1. Jianfeng Lu, Mathematical analysis and algorithm development for problems from
    computational ...
  2. James H. Nolen, Partial differential equations, stochastic processes, random media, applied mathematics, asymptotic analysis

Assistant Professor

  1. Jayce R. Getz, Number theory

Assistant Research Professor

  1. Paul L Bendich, I work in computational topology, which for me means adapting ...
  2. Goncalo M. Fernandes de Oliveira, Gauge Theory, Special Holonomy
  3. Heekyoung Hahn, Automorphic L-functions, Relative trace formula, Algebraic cycles and Representations of the classical groups
  4. Caroline Turnage-Butterbaugh, analytic number theory

Professor of the Practice of Mathematics

  1. Lewis D. Blake, Teaching mathematics ...
  2. Clark Bray, Algebraic Topology

Adjunct Professor

  1. Jonathan M Wahl, Algebraic Geometry

Professor Emeriti

  1. William K. Allard, Scientific computing, particularly distributed computing; differential geometry; geometric measure theory; partial differential equations.
  2. J. Thomas Beale, Partial Differential Equations, Fluid Mechanics, Numerical Methods
  3. Jack Bookman, Mathematics Education
  4. Richard E. Hodel, Set-theoretic Topology, set theory, logic
  5. Joseph W. Kitchen, Functional Analysis
  6. David P. Kraines, Algebraic Topology and Game Theory
  7. Lawrence C. Moore, Mathematics Education and Functional Analysis

  8. David G. Schaeffer, Applied Mathematics, especially Partial Differential Equations
  9. David A. Smith, Mathematics Education
  10. John A. Trangenstein, Adaptive mesh refinement, Multigrid preconditioners
  11. Xin Zhou, Partial Differential Equations and Integrable Systems


  1. Rann Bar-On, Mathematics Education
  2. Brian D Fitzpatrick, Algebraic Geometry, Category Theory, Homological Algebra

Visiting Faculty

  1. Michael Abel, Categorified Quantum Link Invariants
  2. Justin Curry, applied topology, sheaves, categories, representation theory
  3. Marc D. Ryser, Bone and Bones, Bone Neoplasms, Bone Resorption, Chemotaxis, Computational Biology, Computer Simulation, Fractures, Bone, Gene Expression Profiling, Homeostasis, Meta-Analysis as Topic, Models, Biological, Osteoblasts, Osteoprotegerin, Parathyroid Hormone-Related Protein, RANK Ligand, Solubility, Time Factors
  4. Haizhao Yang, Fast algorithms in scientific computing, applied and computational harmonic analysis, ...


  1. Mauro Maggioni, Harmonic analysis, with applications to statistical analysis of high-dimensional data, machine learning, imaging.

Graduate Student

  1. Gavin F. Ball, Differential geometry, exterior differential systems
  2. Erin M. Beckman, Partial differential equations, Probability, Stochastic processes
  3. Michael M. Bell, Differential Geometry, Exterior Differential Systems, Holonomy, Calibrations
  4. Joshua D. Cruz, I am a student of Les Saper, with broad interests ...
  5. Hamza M. Ghadyali, Topological Data Analysis (TDA)
  6. Shalla D. Hanson, Dynamic Optimization of Anti-tumor Immunity in Rapidly Mutating Cancers
  7. Lizzy Huang, Geometric Analysis. Harmonic map flows and their applications
  8. Ma Luo, Moduli of Curves, Hodge Theory, Topology of Algebraic Varieties
  9. Aki Nishimura, Stochastic simulation, Bayesian statistics, Stochastic modeling, Applied math
  10. Robert J. Ravier, In undergrad, I was one of many people involved in ...
  11. Dmitry Vagner, categorification and diagrammatic algebra with applications to low-dimensional topology and representation theory
  12. Darryl G. Wade, Topological data analysis, other applications of topology
  13. Chao Xu, Variational techniques for PDE related to physics and ...
  14. Jieren Xu, medical imaging, Poisson denoising and convex optimization
  15. Zhiyong Zhao, Exterior Differential System, Calibrated Geometry
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320