UVA’s BA in Mathematics emphasizes mathematical theory, logic, and abstraction while offering flexibility for students to explore applications across other disciplines. Courses cover linear algebra, real analysis, number theory, topology, and discrete math. The BA track is suited for those interested in teaching, philosophy, data science, or interdisciplinary research. Students are encouraged to take part in mathematics competitions, undergraduate research, and reading seminars, all while building strong problem-solving and analytical writing skills.
Writing a thesis on the historical development of set theory and its philosophical implications
Creating educational modules to introduce abstract algebra in high school classrooms
Proof-based project exploring Cantor’s diagonal argument and uncountable sets
Study of mathematical paradoxes in logic and their relevance to computation
Comparative analysis of finite vs. infinite group structures in algebraic systems
Exploring applications of number theory in cryptographic systems
Visualization project on fractals and iterative geometric processes
Mathematical modeling of voting systems and gerrymandering fairness metrics
Research on the axioms of Zermelo–Fraenkel set theory and the Axiom of Choice
Designing a logic puzzle set inspired by propositional and predicate calculus
Proof reconstruction and commentary on Gödel’s incompleteness theorems
Paper on the topological classification of surfaces and manifolds
Studying combinatorial game theory and applications to board game strategy
Mathematical art project exploring symmetry groups and tessellations
Proof-based analysis of continuity and limits in metric spaces
Survey of irrational and transcendental numbers in mathematical history
Exploration of Fourier series and harmonic analysis on functions
Analysis of cryptographic hash functions and modular arithmetic
Simulation of Markov chains and stochastic processes using Python
Weekly math circle plan designed for community engagement and outreach
Develop abstract thinking and mathematical insight through UVA’s theoretical Mathematics BA.
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