The MS in Mathematics at UVA offers students a balanced approach between pure and applied mathematics. The program emphasizes analytical thinking, problem solving, and mathematical proof across core areas like topology, algebra, partial differential equations (PDEs), and numerical analysis. Designed for future researchers, educators, and professionals in quantitative fields, the MS prepares students for doctoral studies or careers in data science, finance, and engineering.
Numerical methods for solving nonlinear partial differential equations
Spectral theory and eigenvalue problems in functional spaces
Mathematical modeling of infectious disease spread using SIR variants
Topology optimization techniques in structural engineering
Stochastic processes in financial modeling of derivative pricing
Applications of variational calculus to image processing
Markov chains and transition matrices in population dynamics
Lie algebra representations in theoretical physics
Graph theory analysis in social network clustering
Computational geometry algorithms for 3D shape recognition
Analysis of bifurcation in nonlinear dynamical systems
Fourier transform applications in acoustic signal filtering
Optimal transport theory in machine learning cost functions
Finite element method implementation for heat distribution simulation
Cryptographic system design using elliptic curves
Build strong foundations in pure and applied mathematics through UVA’s research-ready MS program.
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