OrganicOPZ Logo

Project Ideas for Doctor of Philosophy in Mathematics

Create rigorous theory that drives algorithms, physics, and finance.

🏛 Introduction

Georgia Tech Math PhD students prove theorems in geometric group theory one day and deploy GPU-accelerated Navier–Stokes solvers the next. Graduates land at NSF-funded AI institutes, hedge-fund quant desks, and national labs.

💡 Suggested Project Titles

Homological stability in configuration spaces of graphs

Optimal transport metrics for bias in ML embeddings

Spectral methods for stochastic Navier–Stokes on GPUs

Random-matrix universality in massive MIMO communications

Proof-assistant formalization of prime gap bounds

Sparse FFT algorithms for seismic imaging

Game-theoretic study of carbon-credit auctions

Ergodic theory of billiards in irrational polygons

Neural-PDE surrogates with convergence proofs

Integer programming relaxations for graph coloring

Fractal dimension of urban land-use sprawl

KAM-theory extension to non-Hamiltonian bio oscillators

Hyperbolic geometry of social network growth

Bayesian inverse problems in geothermal reservoirs

Coupled bulk-surface PDEs for tumor growth

Georgia Tech – PhD in Mathematics

Prove ideas that become tomorrow’s transformative algorithms.

🎓 Explore More Programs at Georgia Institute Of Technology

Undergraduate Programs

Postgraduate Programs

Let's Ace Your Assignments Together!

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."

Alfred M. Motsinger

Computer Science Student

Get a Free Consultation

Reach out to us for personalized academic assistance and take the next step towards success.

Please enter a contact number.

Chat with Us