Research Interests

• Stochastic modeling and uncertainty quantification
• Numerical analysis and high-performance scientific computing
• Data-driven modeling
• Approximation of functional-differential equations
• Theoretical and computational fluid dynamics

My research activity has been recently focused 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/

Appointments

• 2021 - present, Professor of Applied Mathematics, UC Santa Cruz.
• 2019 - 2021, Associate Professor of Applied Mathematics, UC Santa Cruz.
• 2015 - 2019, Assistant Professor of Applied Mathematics, UC Santa Cruz.
• 2010 - 2015, Research Assistant Professor of Applied Mathematics, Brown University.
• 2006 - 2010, Postdoctoral Research Associate at the Department of Energy, Nuclear and Environmental Engineering, University of Bologna.