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Project Ideas for Bachelor of Science in Mathematics

Abstract reasoning and analytical rigor powering innovation.

🏛 Introduction

The Mathematics BS at UIUC cultivates deep theoretical foundations—algebra, analysis, topology, and combinatorics—while offering applied tracks in actuarial science, cryptography, and data analytics. Students engage in math modeling contests, proof-writing bootcamps, and research groups tackling open problems from graph theory to PDEs. Graduates excel in quantitative finance, tech R&D, epidemiological modeling, and graduate study where logical precision drives discovery.

💡 Suggested Project Titles

Graph-theoretic optimization of campus shuttle routes

Mathematical model of epidemic spread with vaccination strategies

Cryptanalysis of classic ciphers with group theory tools

Knot-theory visualization using 3-D printing

Monte-Carlo simulation of option pricing under stochastic volatility

Research paper on zero-knowledge proofs in blockchain security

Competitive programming problems generator using combinatorics

Workshop on LaTeX for mathematical typesetting

Machine-learning regularization theory project in high-dimensional spaces

Analysis of prime gaps using computational number theory

Public lecture series explaining Gödel’s incompleteness theorems

Topology-based data analysis of brain-connectome networks

Proof-assistant formalization of classic theorems in Lean

PDE study of heat flow in novel metamaterials

StoryMap of the history of mathematics in Illinois

University of Illinois – BS in Mathematics

Harness abstract thought to solve real-world challenges.

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