1. 2024-2029 Air Force Office of Scientific Research (AFOSR) MURI , ``Tensor Network for simulating kinetic systems'', $7.5M (co-PI).
  2. 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).
  3. 2023-2026 Air Force Office of Scientific Research AFOSR, `` Digital Twin Enabled Autonomous Control for On-Orbit Spacecraft Servicing'' $2.5M (co-PI).
  4. 2023 Air Force Office of Scientific Research AFOSR , ``Information-driven design optimization of autonomous systems under uncertainty'', $220k (co-PI).
  5. 2020-2025 National Science Foundation, ``TRIPODS (Phase II): Institute for foundations of data science'', $2.3M (co-PI). (Article)
  6. 2020-2023, Air Force Office of Scientific Research (AFOSR), ``Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs'', $419k (single PI).
  7. 2020-2023, Air Force Office of Scientific Research (AFOSR), ``Verification and validation of autonomous systems with hybrid dynamics under uncertainty'', $540k (co-PI).
  8. 2020-2023, UC Santa Cruz Office of research, ``Applied artificial intelligence initiative'', $60k (co-PI).
  9. 2018-2024 Army Resarch Office (ARO), ``Computational challenges in the numerical approximation of nonlinear functionals and functional differential equations'', $404k (single PI).
  10. 2020 National Science Foundation (NSF), ICERM semester program ``Model and Dimension reduction in uncertain and dynamic systems'', course buyout $20k. (Website
  11. 2018-2019 Defense Advanced Research Projects Agency (DARPA),  ``Data-driven computational optimal control for uncertain nonlinear systems'', $175k (lead PI).
  12. 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)
  13. 2015-2018 Air Force Office of Scientific Research (AFOSR), ``The Mori-Zwanzig approach to dimension reduction and uncertainty quantification'', $413k (single PI).
  14. 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)
  15. 2014-2015 Air Force Office of Scientific Research (AFOSR), ``Goal-oriented probability density function methods for uncertainty quantification'', $275k (single PI)
  16. 2014-2015 Defense Advanced Research Projects Agency (DARPA), ``A new mathematical framework for design under uncertainty'', $500k (co-Investigator).
  17. 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

  1. 2012 DOE (USA), “Modeling Mesoscale Processes of Scalable Synthesis”.
  2. 2012 NSF-DMS (USA), “New PDF methods for stochastic dynamical systems and stochastic partial differential equations: theory and numerical algorithms”.
  3. 2010 DOE (USA), “Stochastic nonlinear data-reduction methods with detection & prediction of critical rare events”.
  4. 2009-2015 OSD/AFOSR MURI (USA), “Multi-scale fusion of information for uncertainty quantification and management in large scale simulations”.
  5. 2009 NSF-DMS (USA), “Overcoming the bottlenecks in polynomial chaos: algorithms and applications to systems biology and fluid mechanics”.
  6. 2008 DOE/PNNL (USA), “Stochastic analysis of advection-diffusion-reactive systems with application to reactive transport in porous media”.
  7. 2007, 2009 PRIN (Italy), Research Project of Relevant National Interest, “Heat exchange optimization in finned tubes with water condensation on air side”.
  8. 2005 PRIN (Italy), Research Project of Relevant National Interest, “Transport phenomena analysis in heat exchangers under unsteady conditions”.

 Consulting Experience

  1. 2010, Design and development of the algorithm for the shadow-free bi-axial solar tracking system (photovoltaic applications) implemented by the company Biasol Automation.
  2. 2010, Research project on fluid dynamics of granular flows funded by ACMA GD - tobacco and packing machines division.
  3. 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.
  4. 2005, Research project on heat pipes and closed-loop thermosyphons funded by AAVID.