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Project Ideas for Bachelor of Science in Mathematics

Explore pure logic and applied algorithms at the heart of modern science.

🏛 Introduction

Harvard’s Mathematics BS offers a rich spectrum from abstract algebra and topology to computational complexity and cryptography. Problem-solving seminars, Putnam coaching, and undergraduate reading courses immerse students in proof techniques and creative reasoning. Collaborations with SEAS and the Harvard Quantum Initiative open pathways to finance, data science, and doctoral research.

💡 Suggested Project Titles

Research on prime-gap bounds via analytic number theory

Probabilistic method proof of graph-coloring conjecture

Algorithmic complexity analysis of quantum circuits

Homology computation of high-dimensional data sets

Interactive visualization of Riemann surfaces

Capstone on cryptographic protocols for post-quantum security

Workshop series coaching high-school math circles

Topology-based data-analysis of neural-connectome graphs

Proof-assistant formalization of classical theorems in Lean

Study of dynamical-systems chaos in epidemiological models

Math-art exhibit exploring Penrose tilings in 3D printing

Stochastic calculus model for high-frequency trading risks

Survey of mirror symmetry in Calabi–Yau manifolds

Game-theory simulation of cooperative behavior evolution

Public lecture series on the history of calculus

Open-source library for teaching group-theory visualizations

Data-driven study of equity in math-education outcomes

Harvard – BS in Mathematics

Delve into elegant structures and rigorous proofs with Harvard’s legendary math faculty.

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