UVA’s MA in Mathematics cultivates logical rigor and advanced theoretical understanding in areas such as algebra, topology, and mathematical logic. Designed for those pursuing careers in education, data analysis, or future doctoral study, the program emphasizes proof-based reasoning and deep mathematical exploration.
Proof of convergence in generalized Fourier series
Applications of Galois theory to algebraic equation solvability
Exploration of large cardinal axioms in set theory
Topological invariants in knot theory and 3-manifolds
Model theory application in algebraic geometry
Group theory and symmetries in crystal structures
Ultrafilters and limits in real analysis sequences
Infinite graph coloring problems and Ramsey theory
Category theory in formal logic transformations
Study of Diophantine equations with elliptic curve methods
Axiomatic construction of hyperreal number systems
Cryptographic applications of modular arithmetic
Develop rigorous mathematical thinking with UVA’s MA program in Mathematics.
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