CMU’s Mathematical Sciences BS is a playground for proof enthusiasts and modeling mavens alike. Faculty mentors include Fields-medal-level theorists and algorithm architects behind Fortune-50 fintech. Whether you’re formalizing homotopy-type proofs in Lean, optimizing ride-sharing networks with stochastic programming, or studying topological data analysis for cancer diagnostics, you’ll gain discipline-spanning fluency. Weekly Math Café sessions foster community and translate esoteric theory into real-world insight.
Graph-coloring heuristic improving 5G frequency allocation efficiency
Category-theoretic framework for differentiable programming languages
Stochastic differential-equation model of cryptocurrency price jumps
Computational proof of new bounds in Ramsey theory via SAT solvers
Optimal transport algorithms for fairness in machine-learning datasets
Topology-based clustering of single-cell gene-expression manifolds
Game-theoretic analysis of vaccine-donation coalitions under scarcity
Mixed-integer programming scheduling for drone-delivery fleets
Spectral-graph method detecting deepfake social-network propagation
Symplectic integrators for long-term asteroid-orbit prediction
Queuing-theory model optimizing autonomous-vehicle charging stations
Numerical solution of PDEs governing ocean micro-plastic dispersion
Formal verification of cryptographic protocols using algebraic geometry
Variational inequality approach to energy market equilibria with renewables
Hypergraph centrality measure predicting protein-interaction lethality
Markov-chain Monte Carlo sampler for Bayesian neural-network weights
Proof-assistant tutorial series introducing constructive analysis to peers
Non-Euclidean geometry VR visualization for outreach education
Multi-objective evolutionary algorithm for urban traffic signal timing
Policy paper on algorithmic transparency metrics grounded in information theory
Explore the elegance and power of math across theory and application at CMU.
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