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Project Ideas for Bachelor of Science in Mathematics

Pursue rigorous, research-oriented mathematical inquiry.

🏛 Introduction

UNC’s Mathematics BS delivers intensive training for graduate study and quantitative careers. Students tackle real analysis, abstract algebra, and differential geometry, while electives in numerical methods, data science, and mathematical biology bridge theory and application. Research groups in fluid dynamics and number theory recruit undergraduates for NSF-funded projects, and many majors double-count graduate courses toward an accelerated MS.

💡 Suggested Project Titles

Finite-element simulation of blood-flow dynamics in aneurysms

Proof of new bounds in additive number theory problems

Deep-learning surrogate models accelerating PDE solutions

Graph-theory study of social-network resilience

Cryptanalysis project evaluating post-quantum algorithms

Dynamic systems model of predator–prey coexistence with delay terms

Mathematical exploration of quasicrystal tiling symmetries

Optimization algorithm improving renewable-energy grid dispatch

Computational topology method detecting cavities in protein structures

Monte Carlo study of random walks on complex networks

Policy paper on mathematicians’ role in election redistricting

Interactive Jupyter textbook on stochastic calculus for finance

Knot-invariant research leveraging quantum algebra tools

Mathematical art installation visualizing Riemann zeta zeros

Workshop series teaching LaTeX and reproducible math writing

UNC-Chapel Hill – BS in Mathematics

Advance from theorem to application with rigorous mathematical mastery.

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