Caltech’s Mathematics program equips students with rigorous analytical skills for both theoretical exploration and applied problem-solving. These project ideas blend pure math topics with practical innovations in computation, physics, and cryptography.
Prime Number Distribution and Cryptographic Applications
Mathematical Modeling of Infectious Disease Spread
Fractal Geometry and Its Applications in Image Compression
Exploring the Riemann Hypothesis in Complex Analysis
Numerical Solutions to Partial Differential Equations
Combinatorial Game Theory: Strategy and Computation
Applications of Topology in Network Optimization
Chaos Theory and Nonlinear Dynamical Systems
Machine Learning Algorithms Explained Through Linear Algebra
Analysis of Algorithms in Computational Number Theory
Graph Theory Applications in Urban Planning and Logistics
Algebraic Geometry for String Theory Modeling
Stochastic Processes and Random Walks in Finance
Category Theory Foundations for Functional Programming
Quantum Computing Algorithms and Mathematical Foundations
Caltech math students can connect with Collexa for advanced mentoring in mathematical modeling, algorithm design, and theory-driven research exploration.
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