Grants
- 2024-2029 Air Force Office of Scientific Research (AFOSR) MURI , ``Tensor Network for simulating kinetic systems'', $7.5M (co-PI).
- 2023-2027 U.S. Department of Energy (DoE), `` Resolution-invariant deep learning for accelerated propagation of epistemic and aleatory uncertainty in multi-scale energy storage systems, and beyond.'' $3.8M (co-PI).
- 2023-2026 Air Force Office of Scientific Research AFOSR, `` Digital Twin Enabled Autonomous Control for On-Orbit Spacecraft Servicing'' $2.5M (co-PI).
- 2023 Air Force Office of Scientific Research AFOSR , ``Information-driven design optimization of autonomous systems under uncertainty'', $220k (co-PI).
- 2020-2025 National Science Foundation, ``TRIPODS (Phase II): Institute for foundations of data science'', $2.3M (co-PI). (Article)
- 2020-2023, Air Force Office of Scientific Research (AFOSR), ``Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs'', $419k (single PI).
- 2020-2023, Air Force Office of Scientific Research (AFOSR), ``Verification and validation of autonomous systems with hybrid dynamics under uncertainty'', $540k (co-PI).
- 2020-2023, UC Santa Cruz Office of research, ``Applied artificial intelligence initiative'', $60k (co-PI).
- 2018-2024 Army Resarch Office (ARO), ``Computational challenges in the numerical approximation of nonlinear functionals and functional differential equations'', $404k (single PI).
- 2020 National Science Foundation (NSF), ICERM semester program ``Model and Dimension reduction in uncertain and dynamic systems'', course buyout $20k. (Website)
- 2018-2019 Defense Advanced Research Projects Agency (DARPA), ``Data-driven computational optimal control for uncertain nonlinear systems'', $175k (lead PI).
- 2017-2020 National Science Foundation, ``TRIPODS (Phase I): Towards a unified theory of structure, incompleteness and uncertainty in heterogeneous graphs'', $1.5M (co-PI). (Article)
- 2015-2018 Air Force Office of Scientific Research (AFOSR), ``The Mori-Zwanzig approach to dimension reduction and uncertainty quantification'', $413k (single PI).
- 2015-2018 Defense Advanced Research Projects Agency (DARPA), ``Scalable framework for hierarchical design and planning under uncertainty with application to marine vehicles'', $2M (co-PI). (Article)
- 2014-2015 Air Force Office of Scientific Research (AFOSR), ``Goal-oriented probability density function methods for uncertainty quantification'', $275k (single PI)
- 2014-2015 Defense Advanced Research Projects Agency (DARPA), ``A new mathematical framework for design under uncertainty'', $500k (co-Investigator).
- 2014-2015, Army Research Office (ARO), ``Numerical Methods for Propagating Uncertainty Across Scales and for Hybrid Stochastic-Deterministic Systems'', ($330k co-PI).
Participation in Funded Research Projects
- 2012 DOE (USA), “Modeling Mesoscale Processes of Scalable Synthesis”.
- 2012 NSF-DMS (USA), “New PDF methods for stochastic dynamical systems and stochastic partial differential equations: theory and numerical algorithms”.
- 2010 DOE (USA), “Stochastic nonlinear data-reduction methods with detection & prediction of critical rare events”.
- 2009-2015 OSD/AFOSR MURI (USA), “Multi-scale fusion of information for uncertainty quantification and management in large scale simulations”.
- 2009 NSF-DMS (USA), “Overcoming the bottlenecks in polynomial chaos: algorithms and applications to systems biology and fluid mechanics”.
- 2008 DOE/PNNL (USA), “Stochastic analysis of advection-diffusion-reactive systems with application to reactive transport in porous media”.
- 2007, 2009 PRIN (Italy), Research Project of Relevant National Interest, “Heat exchange optimization in finned tubes with water condensation on air side”.
- 2005 PRIN (Italy), Research Project of Relevant National Interest, “Transport phenomena analysis in heat exchangers under unsteady conditions”.
Consulting Experience
- 2010, Design and development of the algorithm for the shadow-free bi-axial solar tracking system (photovoltaic applications) implemented by the company Biasol Automation.
- 2010, Research project on fluid dynamics of granular flows funded by ACMA GD - tobacco and packing machines division.
- 2007, Design and development of mathematical models to study the time dynamics of a wet-air vacuum system patented by the company DVP Vacuum Technology.
- 2005, Research project on heat pipes and closed-loop thermosyphons funded by AAVID.