# Applied Math Directory

Bóna, MiklósLIT 440 (352) 294-2293 bona@ufl.edu |
Discrete applied mathematics, combinatorics, mathematical biology |

Block, Loius LIT 478 (352) 294-2292 block@ufl.edu |
Dynamical systems, connections between dynamics and topology, one-dimensional dynamics, chaos theory. |

Boyland, Philip LIT 338 (352) 294-2294 boyland@ufl.edu |
Dynamical systems, chaotic fluid advection, fluid mixing, classical mechanics |

Brooks, James LIT 306 (352) 294-2296 jkbrooks@ufl.edu |
Probability theory and stochastic processes; abstract processes in applied mathematics |

Bubenik, Peter LIT 410 (352) 294-2342 peter.bubenik@ufl.edu |
Topological data analysis, applied topology, and computational topology;combining ideas from algebraic topology, statistics, machine learning, algebra and category theory to develop new tools for analyzing data; applying these tools to data. |

Catanzaro, MichaelLIT 411 (352) 294-2301 catanzaro@ufl.edu |
Topological data analysis, applied topology; applying ideas from algebraic topology to statistical mechanics and vice-versa; mathematical physics, the geometric Berry phase. |

Cenzer, DouglasLIT 306 (352) 294-2313 cenzer@ufl.edu |
Computability and complexity, algorithmic randomness, mathematical logic, logic programming |

Chen, Yunmei LIT 486 (352) 294-2298 yun@ufl.edu |
Nonlinear partial differential equations, convex optimization techniques, modeling and algorithms for image and data analysis. |

Ehrlich, Paul (Emeritus)ehrlich@ufl.edu |
Differential geometry, especially the area of global space-time geometry; co-author of one of the standard research monographs in this area, Global Lorentzian Geometry, Second Revised Edition, Marcel Dekker Pure and Applied Mathematics, Vol. 202, 1996 |

Glover, Joseph glover@ufl.edu |
Markov processes, potential theory, and martingales and their applications to asset modeling; wavelets and their applications to imaging science; semilinear partial differential equations and their application to suspension bridge oscillation problems |

Groisser, David LIT 308 (352) 294-2307 groisser@ufl.edu |
Applications of differential geometry to problems in imaging |

Hager, William LIT 462 (352) 294-2308 hager@ufl.edu |
Numerical analysis, optimization, and optimal control with applications to modeling of lightning charge transport and MRI image reconstruction |

Keesling, James LIT 358 (352) 294-2312 kees@ufl.edu |
Dynamical systems and chaos; fractal geometry; stochastic modeling; numerical analysis; queuing theory; biomathematical modeling of the spread of citrus greening (HLB) including a population model of the vector Diaphorina citri; biomathematical modeling of migration patterns of insect pests such as Spodoptera frugiperda; and, biomathematical modeling of the spread of dengue including a population model of the vector mosquito, Aedes aegypti. |

Klauder, John (Emeritus) klauder@ufl.edu |
Chaotic Dynamics; Quantum Theory; Coherent States; Quantum Optics; Path Integrals; Quantum Field Theory; Nonrenormalizable Models |

Knudson, Kevin(352)-294-2389 kknudson@ufl.edu |
Computational topology, topological analysis of large data sets, discrete Morse theory |

Mair, Bernard (Emeritus)bamair@ufl.edu |
Medical imaging, inverse problems, potential theory |

Martcheva, Maia LIT 469 (352) 294-2319 maia@ufl.edu |
Mathematical Biology, Population Dynamics, Mathematical Epidemiology, Mathemtical Demography, Nonlinear PDEs, and Numerical Analysis |

McCullough, Scott LIT 490 (352) 294-2321 sam@ufl.edu |
Free semialgebraic geometry and convex analysis. Free semialgebraic geometry is the study of matrix inequalities of the type that arise in control theory in problems governed by a signal flow diagram. These inequalities are independent of dimension and thus mathematically correspond to studying inequalities for polynomials in freely noncommuting variables. Of particular interests are matrix inequalities whose solution set is convex. |

McKinley, Scott (Courtesy Assistant Professor)scott.mckinley@ufl.edu |
Probability theory and applied stochastic processes, particularly pertaining to the study of movement in biological systems. Recent applications at the micro-scale include Passive Microrheology, Intracellular Transport and Mucosal Immunology; at the macro-scale, Movement Ecology. |

Olson, Timothy LIT 454 (352) 294-2325 olsontch@ufl.edu |
Digital signal processing and imaging science, limited angle tomography technique for image formation |

Pilyugin, Sergei LIT 458 (352) 294-2326 pilyugin@ufl.edu |
Differential equations and dynamical systems with applications into mathematical biology/mathematical modeling; theory of competition/chemostat models; theoretical immunology and dynamics of the cell cycle |

Rao, Murali LIT 494 (352) 294-2327 mrao@ufl.edu |
Probability, potential theory, wavelets, and medical imaging, including a the development of new methods for PET image formation |

Shabanov, Sergei LIT 418 (352) 294-2330 shabanov@ufl.edu |
Scattering of electromagnetic waves and nanophotonics. Navier-Stokes equations and applications to laser-induced plasmas. Path integrals and nonperturbative methods in gauge theories. |

Sin, Peter LIT 432 (352) 294-2332 sin@ufl.edu |
Discrete Mathematics, error-correcting codes, linear algebra. |

Vatter, Vince LIT 412 (352) 294-2338 vatter@ufl.edu |
Combinatorics and graph theory |

Vince, Andrew LIT 438 (352) 294-2339 avince@ufl.edu |
Discrete mathematics; also network algorithms with application to scheduling and flows, combinatorial optimization and linear programming problems, fractal geometry and self similar phenomena, polytopes and tilings, and quasicrystals and long range aperiodic order. |

Wilson, David(Emeritus) LIT 330 dcw@ufl.edu |
Medical image analysis, decomposition methods for parallel computing, and the development of image deblurring methods: since 1987 has worked on automatic identification of the epicardial and endocardial borders of the heart in 2-D echocardiographic images |