Duke’s Mathematics BS spans abstract algebra, geometric topology, stochastic processes, and data-driven modeling. Students tackle Millennium Prize problems in reading groups, simulate pandemics with agent-based models, and co-author papers on neural-network expressivity. Math majors often double-major in CS, physics, or economics, leveraging Duke’s interdisciplinary ethos to translate proofs into breakthroughs in cryptography, climate modeling, and biomedical imaging.
Fast-multipole algorithm optimizing galaxy-cluster simulations
Topological data-analysis of brain-connectome networks
Game-theoretic model of vaccine uptake dynamics
Cryptanalysis of lattice-based post-quantum schemes
Proof-assistant formalization of novel combinatorics identity
Partial-differential-equation solver for coastal flood forecasting
Graph-coloring heuristic improving 5G frequency reuse
Quantum-walk model for protein-fold search spaces
Visual analytics tool teaching calculus via AR sand tables
Statistical mechanics approach to social-media rumor spread
Optimal-transport model for equitable school-district zoning
Generative AI exploring counter-examples in number theory
Knot-invariant study linked to DNA supercoiling energies
Machine-learning emulation of climate-model sub-grid physics
Random-matrix theory analysis of financial contagion
Interactive proof game for high-school outreach
Blockchain smart-contract verifying crowdsourced mathematical proofs
Guided inquiry workbook on discrete Fourier transforms
Foldable origami demo illustrating Gaussian curvature
Discover elegant theory and powerful applications through Duke Math.
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