Columbia University's Mathematics program encourages a rigorous approach to both theoretical and applied mathematics. These project ideas span number theory, topology, statistics, and modeling—perfect for independent studies, thesis research, or interdisciplinary collaboration.
Prime Number Distribution and the Riemann Hypothesis
Mathematical Modeling of Infectious Disease Spread
Fractal Geometry and Its Applications in Nature
Game Theory in Economic Decision-Making
Exploring Galois Theory Through Polynomial Equations
Chaos Theory and the Butterfly Effect
Graph Theory Applications in Social Network Analysis
Optimization Techniques in Supply Chain Logistics
Linear Algebra in Image Compression Algorithms
Geometric Proofs Using Non-Euclidean Spaces
Cryptographic Algorithms Based on Modular Arithmetic
The Mathematics Behind Google’s PageRank Algorithm
Probability Distributions in Financial Risk Modeling
Topology and Its Role in Quantum Physics
The Use of Eigenvalues in Structural Engineering
Mathematical Foundations of Machine Learning Models
Combinatorics in Genetic Sequencing Analysis
Mathematics of Voting Systems and Fair Representation
Number Theory in Digital Signature Schemes
Differential Equations in Environmental Forecasting
Collexa assists in building mathematical proofs, visualizing models, preparing LaTeX reports, and translating complex theory into real-world applications.
Whether it's Machine Learning, Data Science, or Web Development, Collexa is here to support your academic journey.
"Collexa transformed my academic experience with their expert support and guidance."
Computer Science Student
Reach out to us for personalized academic assistance and take the next step towards success.
