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Project Ideas for Master of Science in Applied Mathematics

Model real-world systems with mathematical rigor and computational power.

🏛 Introduction

Harvard’s SM in Applied Mathematics pushes mathematicians beyond theory into modeling-driven discoveries across finance, biology, and climate science. A core of PDEs, stochastic processes, and optimization merges with machine learning and high-performance computing electives. Students collaborate in the Institute for Applied Computational Science, publishing in top journals and deploying code on cluster GPUs.

💡 Suggested Project Titles

Agent-based model of urban traffic and ride-sharing dynamics

Gradient-free optimization for wind-farm layout

Stochastic differential-equation model of stock-market bubbles

Numerical solver comparing implicit vs. explicit schemes for ice-sheet flow

Neural-ODE approach to infectious-disease forecasting

Bayesian calibration of climate-carbon feedback parameters

Data-driven reduced-order models for plasma turbulence

Optimization of vaccine distribution networks under uncertainty

Open-source Python library for fractional PDE operators

Capstone on fairness metrics in algorithmic trading strategies

GPU-accelerated solver for seismic wave-propagation inversion

Workshop teaching high-schoolers applied-math visualization tools

Interactive dashboard demonstrating chaos in Lorenz systems

Thesis on game-theoretic analysis of renewable-energy auctions

Visualization of parameter sensitivity in epidemiological models

Harvard – SM Applied Mathematics

Translate elegant math into impactful solutions with Harvard’s applied-math community.

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