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Project Ideas for Doctor of Philosophy in Engineering Mathematics and Statistics

Advanced modeling, optimization, and inference for complex systems.

🏛 Introduction

UC’s PhD in Engineering Mathematics & Statistics equips scholars to construct, analyze, and optimize mathematical models underpinning modern engineering and data-driven decision making.

💡 Suggested Project Titles

Gaussian-process emulator accelerating multiphase CFD sensitivity studies

Finite-volume solver for wildfire propagation coupled to atmospheric models

Bayesian hierarchical model estimating bridge fatigue life from sensor data

Adjoint-based gradient optimization of supersonic nozzle contours

Sparse-regression discovery of governing equations in cardiac electrophysiology

Markov-chain Monte Carlo toolkit for real-time epidemic parameter inference

Mixed-integer program scheduling battery storage dispatch for price arbitrage

Random-matrix analysis of 5 G massive-MIMO channel capacity distributions

Kernel-density crash hotspot mapping incorporating weather covariates

Neural-ODE surrogate modeling lithium-ion cell thermal dynamics

Multilevel Monte Carlo valuation of renewable-energy derivatives

Topological data-analysis revealing coherent structures in jet turbulence

Hybrid genetic-algorithm + gradient method for satellite constellation design

Sequential experimental design for adaptive A/B testing in e-commerce

Game-theoretic airport slot allocation minimizing total delay costs

Uncertainty-quantified optimal transport for supply-chain logistics

Workshop teaching open-source math libraries to under-represented students

White paper on reproducible computational modeling standards

VR visualization of high-dimensional posterior landscapes

Conference on AI-accelerated scientific computing methods

University of California – PhD in Engineering Math & Statistics

Model, analyze, and optimize with UC’s mathematically rigorous PhD.

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