We develop mathematical and computational methods for systems where uncertainty is not peripheral—it determines what can be observed, predicted, and controlled.

01.1

Uncertainty and extreme events

Rare and intermittent behavior in nonlinear dynamical systems, with an emphasis on mechanisms, statistics, prediction, and mitigation.

01.2

Scientific machine learning

Data-driven models for dynamical systems that retain physical structure, uncertainty, and interpretable behavior.

01.3

Inference and experimental design

Bayesian computation, data assimilation, and adaptive sampling for making decisions in complex engineering systems.

01.4

Environmental and geophysical systems

Statistical prediction, state estimation, and reduced modeling for transport, turbulence, and renewable-energy applications.

02.1

Combustion and energy

Instability detection, statistical modeling, and data-driven control for methane and hydrogen combustion.

02.2

Turbulent transport

Intermittency, data assimilation, and statistical prediction in environmental and geophysical flows.

02.3

Engineering decisions

Adaptive sensing, surrogate modeling, and optimal design for expensive high-dimensional systems.