Research Interests
My research activity has been recently focused on developing new theoretical and computational methods for uncertainty quantification and dimensional reduction in large scale stochastic dynamical systems. In particular, I have been working on the Mori-Zwanzig formulation, data-driven modeling, hierarchical tensor methods for the numerical solution to high-dimensional PDEs, and the approximation of functional differential equations.
Approximation of Functional Differential Equations: Research in the Mathematical Sciences, Physics Reports, ArXiv.
Article about me in UCSC Inquiry : https://inquiry.ucsc.edu/2020-21/superior-simulations/
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