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We develop theoretical and computational methods to understand a variety of molecular processes, including enzyme catalysis, solar energy conversion, dendrite formation in lithium batteries, and the dynamics of soft matter and biological systems. An important aspect of this challenge is that many systems exhibit dynamics that couple vastly different timescales and lengthscales. A primary goal of our research is thus to develop new techniques that can bridge dynamical hierarchies and simulate complex dynamics.

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The imaginary time projections of a ring polymer