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Project Ideas for Master of Science in Applied Mathematics

Model, compute, and analyze complex systems at scale.

🏛 Introduction

Georgia Tech’s MS in Applied Mathematics propels theorists into high-performance problem-solvers. Core sequences in numerical PDEs, stochastic processes, and optimization feed into lab rotations on climate modeling, cryptographic lattices, and neural-ODE solvers. Students access the Partnership for an Advanced Computing Environment (PACE) supercluster to run billion-cell simulations, while industrial seminars from Sandia, Two Sigma, and CDC reveal how proofs power policy and profit.

💡 Suggested Project Titles

GPU-accelerated solver for Navier–Stokes turbulence in urban canopies

Algebraic-topology persistent-homology detector for cybersecurity anomalies

Bayesian inverse problem for geothermal reservoir parameter estimation

Optimal transport algorithm for fairness in machine-learning datasets

Sparse-grid spectral method for high-dimensional option pricing

Graph-theoretic contact-tracing model with adaptive vaccination strategy

Finite-element model of bio-printed heart valve mechanics

Markov-decision-process algorithm for energy-aware cloud task scheduling

Proof-assistant verification of homomorphic-encryption security bounds

Stochastic differential-equation simulation of supply-chain disruptions

Multigrid preconditioner for ice-sheet flow dynamics

Game-theoretic analysis of carbon-credit auction design

Topology optimization of lattice materials for hypersonic leading edges

Integro-differential model of neuronal firing with fractional calculus

Neural-PDE surrogate for rapid weather-forecast ensemble generation

Georgia Tech – MS in Applied Mathematics

Transform theory into computational breakthroughs.

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