His research applies nonlinear dynamical-systems theory—including bifurcation analysis, ergodic theory, and random dynamical systems—to atmospheric and oceanic dynamics, linking conceptual models with comprehensive climate simulations. He pioneered singular-spectrum analysis for climatic time series, advanced the theory of multiple weather regimes and their relationship to intraseasonal variability, and predicted the 6–7 kyr periodicity of Heinrich events before its observational identification. His work on sequential estimation and Kalman filtering has also played a major role in advancing the assimilation of satellite observations in meteorology, oceanography, and space physics. More recently, he has extended these approaches to population dynamics, macroeconomics, and coupled climate–economy–biosphere systems. Author or editor of more than a dozen books and nearly 350 research and review articles, he has accumulated over 14,800 citations and an h-index of 59. The five selected publications below—covering interdecadal climate variability and global warming (Nature, 1991), data assimilation in meteorology and oceanography (Advances in Geophysics, 1991), nonlinearity in the geosciences (Earth and Space Science, 2019), advanced spectral analysis of climate time series (Reviews of Geophysics, 2002), and the physics of climate variability and change (Reviews of Modern Physics, 2020)—reflect a career that has helped establish mathematical dynamical-systems theory and modern data assimilation as essential foundations of contemporary Earth-system science.