UC Mathematics offers pure and applied tracks spanning algebraic geometry, topology, PDEs, and probability. Students tackle Putnam problems and collaborate with physicists and data scientists.
Research on modular forms connections to elliptic curves and L-functions
Finite-difference numerics solving nonlinear Schrödinger equations
Knot-invariant computation via Khovanov homology for link tables
Stochastic calculus modeling rough volatility in finance
Policy brief translating gerrymandering metrics for redistricting commissions
Graph-theory exploration of expander constructions and network resilience
VR interactive hyperbolic geometry visualization with geodesic tilings
Machine-learning approach conjecturing integer-partition identities
Game-theoretic analysis of vaccine allocation strategies
Text-mining arXiv papers for emergent topics in combinatorics
Low-dimensional dynamical-systems study of chaotic popcorn maps
Workshop series on proof techniques for first-generation college students
Numerical study of minimal surfaces using surface-evolution algorithms
Cracking classical ciphers via number-theory algorithms in SageMath
Crowdsourced database of math puzzles fostering STEM outreach
Critical essay on diversity and history of mathematics development
Category-theory modeling of compositionality in neural networks
Interactive Jupyter notebook teaching spectral theory of operators
Topological data-analysis application to climate pattern recognition
Comparative study of axiomatic set theories and foundational implications
Pursue elegance and power in problem-solving with UC Mathematics.
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