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Project Ideas for Master of Science in Mathematics

Advance rigorous theory and computational methods for modern science.

🏛 Introduction

UNC’s MS in Mathematics prepares scholars for PhD study and analytics leadership. Students explore algebraic topology, stochastic processes, and mathematical data science, often collaborating with Physics on knot invariants in quantum field theory or with Finance on stochastic-volatility modeling. Coding bootcamps teach Julia and Rust for high-performance numerics.

💡 Suggested Project Titles

Homology computation of large simplicial complexes in social networks

Finite-volume scheme for nonlinear wave equations

Markov-chain Monte Carlo sampler for Bayesian inverse problems

Proof exploring new bounds in additive combinatorics

Deep-learning surrogate accelerating ODE solvers

Infographic series on historical breakthroughs in category theory

Public lecture on optimal transport and machine learning

Julia package implementing automatic differentiation on manifolds

VR visualization of hyperbolic 3-manifolds

Policy brief on cryptographic implications of quantum algorithms

UNC-Chapel Hill – MS in Mathematics

Translate abstract reasoning into breakthroughs across disciplines.

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