Applied Math Directory
| Faculty member | Research interests |
|---|---|
| Adams, Henry LIT 418 henry.adams@ufl.edu | Applied topology, computational topology and geometry, combinatorial topology, metric geometry, machine learning, and sensor networks |
| Bóna, Miklós LIT 440 bona@ufl.edu | Discrete applied mathematics, combinatorics, mathematical biology |
| Bubenik, Peter LIT 494 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. |
| Di Cerbo, Luca Fabrizio LIT 476 ldicerbo@ufl.edu | Applications of geometry to physics, mathematical finance |
| Gamage, Chamila Malagoda LIT 320 cgamage@ufl.edu | Optimal transport theory, calculus of variations, partial differential equations |
| Goodwill, Tristan LIT 410 tgoodwill@ufl.edu | Integral equation methods for scattering problems, domain decomposition methods for photonic circuits, efficient numerical methods for surface wave problems |
| Groisser, David LIT 308 groisser@ufl.edu | Applications of differential geometry to problems in imaging |
| Hager, William LIT 462 hager@ufl.edu | Numerical analysis, optimization, and optimal control with applications to modeling of lightning charge transport and MRI image reconstruction |
| Jiang, Nan LIT 434 jiangn@ufl.edu | Computational fluid dynamics, turbulence modeling, nonlocal models for anomalous diffusion, efficient flow ensemble simulation methods and uncertainty quantification in predictive models |
| Knudson, Kevin LIT 486 kknudson@ufl.edu | Computational topology, topological analysis of large data sets, discrete Morse theory |
| Marsiglietti, Arnaud LIT 412 a.marsiglietti@ufl.edu | High-dimensional probability, convex geometry, information theory |
| Martcheva, Maia LIT 469 maia@ufl.edu | Mathematical biology, population dynamics, mathematical epidemiology, mathematical demography, nonlinear PDEs, and numerical analysis |
| McCullough, Scott LIT 490 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 interest are matrix inequalities whose solution set is convex. |
| Ngonghala, Calistus LIT 468 calistusnn@ufl.edu | Mathematical biology (ecology of poverty and disease, economic epidemiology, mathematical epidemiology and immunology); nonlinear dynamical systems and chaos; numerical analysis |
| Park, Youngmin LIT 454 park.y@ufl.edu | Cell physiology, electrophysiology, immunology |
| Pilyugin, Sergei LIT 458 pilyugin@ufl.edu | Differential equations and dynamical systems with applications to mathematical biology and mathematical modeling; theoretical ecology; theoretical immunology and epidemiology; microbial kinetics and dynamics of the cell cycle |
| Pollock, Sara LIT 444 s.pollock@ufl.edu | Numerical analysis, scientific computation, adaptive finite element and multiscale methods, nonlinear solvers and acceleration techniques, nonlinear elliptic PDEs |
| Rong, Libin LIT 452 libinrong@ufl.edu | Mathematical biology, specifically virus dynamics, theoretical immunology and epidemiology |
| Shabanov, Sergei LIT 464 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. |
| Stepien, Tracy LIT 460 tstepien@ufl.edu | Mathematical biology with an emphasis on medicine, dynamical systems, ordinary and partial differential equations, numerical methods, data analysis |
| Vatter, Vince LIT 406 vatter@ufl.edu | Combinatorics and graph theory |
| Vince, Andrew LIT 438 avince@ufl.edu | Discrete mathematics; network algorithms with applications to scheduling and flows, combinatorial optimization and linear programming problems |
| Wagner, Hubert LIT 428 hwagner@ufl.edu | Topological data analysis, machine learning, algorithm engineering and their applications |
| Wang, Chunmei LIT 302 chunmei.wang@ufl.edu | Numerical analysis of partial differential equations, approximation theory, scientific machine learning and operator learning, finite element methods and superconvergence |
| Yu, Cheng LIT 306 chengyu@ufl.edu | Nonlinear partial differential equations, nonlinear analysis, and gas dynamics |