The University of Chicago’s Mathematics program nurtures a deep understanding of both pure and applied mathematics. These project ideas challenge students to explore theoretical frameworks, logical reasoning, and real-world mathematical applications across a wide range of fields.
Exploring Cryptographic Algorithms with Number Theory
Applications of Graph Theory in Social Network Analysis
Mathematical Modeling of Epidemic Spread (SIR Models)
The Use of Group Theory in Molecular Symmetry
Optimization Techniques in Operations Research
Introduction to Topology: Classifying Surfaces
Fractal Geometry and the Mathematics of Chaos
Game Theory and Strategic Behavior in Economics
Using Linear Algebra for Image Compression
Proof Strategies in Real Analysis: A Case Study
Exploring Non-Euclidean Geometry and Hyperbolic Spaces
Markov Chains and Their Applications in Decision Systems
Mathematical Logic and Gödel’s Incompleteness Theorems
Differential Equations in Climate Modeling
Number Patterns and Primality Testing Algorithms
Investigating the Riemann Hypothesis Through Zeta Functions
Combinatorics in Tournament Scheduling Algorithms
Mathematics of Machine Learning: Linear Regression and Beyond
Fourier Series in Signal Processing and Data Compression
Algebraic Structures in Coding Theory
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