Duke’s Mathematics Ph.D. spans algebraic geometry, harmonic analysis, stochastic processes, and data-driven topology. Research groups tackle Langlands conjectures, model pandemic dynamics, and collaborate with physicists on quantum error correction. A public-engagement fellowship trains every scholar to translate proofs into policy or popular science.
Optimal-transport model for equitable vaccine distribution
Random-matrix theory analysis of financial contagion
Topological data-analysis of brain connectome networks
Fast-multipole algorithm optimizing galaxy-cluster simulations
Cryptanalysis of lattice-based post-quantum schemes
Graph-coloring heuristic improving 6 G frequency reuse
Quantum-walk model for protein-fold search spaces
Interactive proof game for K–12 outreach
Machine-learning emulation of climate-model sub-grid physics
Origami demo illustrating Gaussian curvature in real time
Public lecture series on math behind voting systems
Blockchain smart-contract verifying crowdsourced math proofs
Discover elegant theory and powerful applications through Duke Math.
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