The Mathematics BS at Northwestern cultivates proof-craft, modeling acuity, and computational savvy. From algebraic topology to stochastic calculus, students explore pure and applied frontiers while double-majoring easily with CS, economics, or physics. REU programs pair majors with faculty cracking cryptographic group theory or modeling pandemic dynamics, and seminar culture nurtures peer-led discovery workshops.
Prove new bounds on expander-graph spectra using representation theory
Model stochastic volatility surfaces with rough-path theory for option pricing
Develop numerical solvers for Navier-Stokes on adaptive wavelet grids
Analyze consensus times in random voter models on dynamic networks
Study knot-homology invariants via categorified quantum groups
Simulate spatial SIR models on airline networks with agent-based methods
Investigate optimal transport applications to machine-learning fairness metrics
Explore p-adic Hodge theory links to modular forms in arithmetic geometry
Optimize portfolio risk with coherent-risk measures under heavy-tail returns
Design a teaching module on Galois theory using interactive visualization
Prove existence of traveling-wave solutions in nonlinear dispersive PDEs
Compute persistent homology of neural-network weight-space trajectories
Model epidemic tipping points with branching-process approximations
Study combinatorial game theory applications in algorithmic advertising auctions
Create a public-outreach podcast explaining infinity comparisons via set theory
Master abstraction and unleash quantitative insight with Northwestern Mathematics.
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