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Research directions & publications

My work spans scientific computing, dynamical systems and deep learning, with an emphasis on developing models that are provably reliable and practically deployable for performance optimization and control, specifically on resource constrained hardware. Learn more about my current interests below!

neural-operators

Neural Operators for multiphysics problems

Learning infinite-dimensional operators that map initial conditions to time dependent trajectories for multiphysics systems, enabling for cheap-to-inference predictions of future dynamics.

FNODeepONetOperator Learning

JEPA

JEPA world models for PDE Control

Im actively exploring how JEPA world models can lend themselves to goal agnostic, flexible and robust controllers for PDE systems.

JEPAWorld Modeling

Neural-MPC

Neural Surrogate Model Predictive Control

Replacing expensive first-principles solvers inside MPC loops with structure-preserving neural surrogates, targeting real-time feasibility for systems governed by stiff or high-dimensional dynamics.

MPCSurrogate ModellingReal-Time Control

Pre-Print

Toward Goal-Agnostic Joint-Embedding Predictive Control of Partial Differential Equations

Jonathan Gallagher, Roberto Guglielmi

2026

Pre-Print

Accelerated Amine Based Carbon Capture Performance Optimization Leveraging A Fully Differentiable Neural Surrogate

Jonathan Gallagher, Roberto Guglielmi, Zhao Pan, Yunli Wang

2026

Pre-Print

Semi-Synthetic Data Augmentation for Computer Vision Applications in Aircraft Defect Detection

Jonathan Gallagher, Roberto Guglielmi, Derek Robinson

2025