The MS in Mathematics at UF offers a rigorous foundation in pure and applied mathematics, including topics in algebra, topology, analysis, PDEs, and numerical computation. Students choose between thesis and non-thesis options, with opportunities to specialize in mathematical modeling, data science, or theoretical mathematics. Graduates pursue careers in research, academia, data science, or finance.
Numerical solution methods for nonlinear partial differential equations in fluid mechanics
Algebraic topology analysis applied to data clustering in machine learning
Thesis on convergence properties of iterative solvers for sparse linear systems
Mathematical modeling of disease spread using SIR models and control theory
Graph theory application in optimization of transportation networks
Proof and exploration of combinatorial identities related to binomial coefficients
Development of algorithms for large-scale matrix factorization problems
Wavelet-based signal compression methods in medical image processing
Cryptographic protocol analysis using modular arithmetic and number theory
Study of chaos theory and bifurcation in nonlinear dynamical systems
Geometric analysis of curvature flow in minimal surfaces
Stochastic processes in financial modeling and options pricing
Topological data analysis methods for shape and structure recognition
Mathematical formulation of fluid-structure interactions in aerodynamics
Exploration of Lie groups and their applications in symmetry analysis
Fourier analysis and signal reconstruction in applied physics simulations
Thesis on random walks and their applications in graph algorithms
Investigation of fixed-point theorems in Banach spaces
Finite difference schemes for heat conduction models
Analysis of prime number distributions using analytic number theory
Master abstraction, precision, and logic through advanced mathematical theory and application.
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