**Courses and Summer Schools**

- D. Venturi, ``Kinetic methods for uncertainty propagation in SODEs and SPDEs: from data-driven approximations to functional differential equations'',
*School on Uncertainty Quantification for Hyperbolic Equations and Related Topics*(website), Gran Sasso Science Institute - school of advanced studies (Italy), April 24-28, 2017.

**Invited Lectures in Universities**

- D. Venturi, ``Numerical methods for high-dimensional PDF equations and PDF hierarchies'', GAFD Seminar,
*UCSC,*May 9th, 2017. - D. Venturi, ``Kinetic methods for uncertainty propagation in stochastic ordinary and partial differential equations'', GAFD Seminar,
*UCSC,*May 2nd, 2017. - D. Venturi, ``Probability density function methods for uncertainty propagation in stochastic dynamical systems'', Colloquium in Applied Mathematics,
*University of Arizona,*March 24th, 2017. - D. Venturi, ``Computing with uncertainty: coarse-graining stochastic dynamical systems and PDF equations'',
*Naval Postgraduate School**,*Monterey (CA), Nov 16, 2016. - D. Venturi, ``Probability density function methods for uncertainty quantification'',
*Stanford University**,*Oct. 17, 2016. - D. Venturi, ``Coarse-graining stochastic dynamical systems through the Mori-Zwanzig formulation'',
*University of California Santa Cruz*(Department of Mathematics - Colloquium)*,*May 17, 2016. - D. Venturi, ``The Mori-Zwanzig formulation and its application to stochastic dynamical systems'',
*University of California Santa Cruz*(Department of Physics)*,*Jan 22nd, 2016. - D. Venturi, ``Dimension reduction: Mori-Zwanzig formulation, BBGKY hierarchies and effective propagators'',
*University of California Berkeley,*Dec. 9, 2015. - D. Venturi, ``Variable-fidelity stochastic simulation and information fusion in fluid dynamics'',
*University of California San Diego,*Nov. 2, 2015. - D. Venturi, ``An overview of stochastic methods for uncertainty quantification in fluid dynamics and beyond, Part 2'',
*University of California Santa Cruz (AMS),*Oct. 20, 2015. - D. Venturi, ``An overview of stochastic methods for uncertainty quantification in fluid dynamics and beyond, Part 1'',
*University of California Santa Cruz (AMS),*Oct. 13, 2015. - D. Venturi, ``Information fusion in stochastic models of physical systems'',
*Stanford University*, Palo Alto (CA),June 8, 2015. - D. Venturi, ``Multi-fidelity stochastic modeling, simulation and information fusion in physical systems'',
*Arizona State University*, Tempe (AZ), Mar. 25-27, 2015. - D. Venturi, ``Coarse-graining high-dimensional random systems: the probability density function approach'',
*University of Massachusetts Darthmouth*, Dartmouth (MA), Mar. 24, 2015. - D. Venturi, ``A new paradigm for variable-fidelity stochastic modeling and information fusion in physical systems'',
*University of California Santa Cruz*, Santa Cruz (CA), Feb. 2nd, 2015. - D. Venturi, ``Spectral properties of random correlation operators'',
*University of Massachusetts Amherst*, Amherst (MA), Dec. 10th, 2014. - D. Venturi, ``Computing with uncertainty: coarse-graining stochastic dynamical models and PDF equations'',
*University of California Santa Cruz*, Santa Cruz (CA), Nov. 24th, 2014. - D. Venturi, ``Reduced-order methods for probability density function equations'',
*University of Massachusetts Amherst*, Amherst (MA), Nov. 4th, 2014. - D. Venturi, ``Recent developments on reduced-order methods for high-dimensional kinetic equations'',
*North Carolina State University*, Raleigh (NC), Sep. 16th, 2014. - D. Venturi, ``State variable versus probability density function methods in the stochastic modeling of nonlinear dynamical systems'',
*University of Delaware*, Delaware, Apr. 17th, 2014 - D. Venturi, ``Statistical analysis and simulation of random shock waves in Burgers turbulence'',
*George Washington University*, Washington DC, Apr. 7th, 2014. - D. Venturi, ``A new framework for stochastic analysis in large scale simulations based on convolutionless Nakajima-Zwanzig PDF equations'',
*EPFL*, Lausanne (Switzerland), Dec. 19th, 2013. - D. Venturi, ``Convolutionless Nakajima-Zwanzig PDF equations for stochastic analysis in large scale simulations'',
*Massachusetts Institute of Technology*, Boston (MA), Dec. 3rd, 2013. - D. Venturi, ``Nakajima-Zwanzig equations for uncertainty quantification in computational mechanics'',
*University of Texas at Austin*, Austin (TX), Mar. 5th, 2013. - D. Venturi, ``Zwanzig-type PDF equation for nonlinear systems with parametric uncertainty'',
*University of California San Diego*, San Diego (CA), Dec. 11th, 2012. - D. Venturi, ``Theoretical and computational challenges in the stochastic modeling of fluid mechanics'',
*Massachusetts Institute of Technology*, Boston (MA), Nov. 30, 2012. - D. Venturi, ``Computational challenges in the stochastic modeling of fluid dynamics'',
*University of California San Diego*, San Diego (CA), Nov. 16, 2012. - D. Venturi, ``Recent developments on PDF methods for high-dimensional stochastic differential equations'',
*Stanford University*, Palo Alto (CA), Nov. 14, 2012. - D. Venturi, ``Theoretical and computational stochastic modeling in fluid dynamics and beyond'',
*University of California Santa Barbara*, Santa Barbara (CA), Apr. 16, 2012. - D. Venturi, ``Theoretical and computational stochastic modeling in fluid dynamics and beyond'',
*Stanford University*, Palo Alto (CA), Feb. 28, 2012.

**Invited Lectures in Conferences, Workshops and Research Institutions**

- D. Venturi, ``Computational challenges in the numerical approximation of nonlinear functionals and functional differential equations'',
*SIAM Conference on Control and its Applications*, Pittsburgh (PA), July 10-12, 2017. - D. Venturi, ``Data driven probability density function equations for high-dimensional stochastic dynamical systems'',
*UNCECOMP 2017 - 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering*, Rhode Island (Greece), June 15-17, 2017. - D. Venturi, ``Data-driven probability density function equations for high-dimensional stochastic dynamical systems'',
*SIAM-DS17*, Snowbird (Utah), May 21-25, 2017. - D. Venturi, ``Equation-driven probability density function estimators for high-dimensional stochastic dynamical systems'',
*SIAM-CSE17*, Atlanta (GE), Feb. 27- March 3, 2017. - D. Venturi, ``Computing the numerical solution to functional differential equations: some recent progresses towards E. Hopf's 1952 dream'',
*APS-DFD 2016*, Portland (OR), Nov. 20-22, 2016. - D. Venturi, `` A new paradigm for variable-fidelity stochastic simulation and information fusion in fluid mechanics'',
*APS-DFD 2015*, Boston (MA), Nov. 22-24, 2015. - D. Venturi, “Multi-fidelity modeling of response surfaces”, 1st International Conference on UQ in Computational Science and Engineering (UNCECOMP 2015), Crete (Greece), May 25-27, 2015.
- D. Venturi, “Dimension reduction in kinetic equations: Mori-Zwanzig formulation, BBGKY hierarchies and effective propagators”,
*Houghton Conference on Non-Equilibrium Statistical Mechanics*, ICERM, Providence (RI), May 4-5th, 2015. - D. Venturi, “Dimension reduction through the Mori-Zwanzig formulation”,
*SIAM Workshop on Dimension Reduction*, Penn State University, State College (PA), Mar. 21-24, 2015. - D. Venturi, “A multi-fidelity data-driven paradigm for information fusion in physical and biological systems”,
*Pacific Northwest National Laboratory*, Richland (WA), March 13, 2015. - D. Venturi, “Variable-fidelity stochastic modeling and calibration of multi-physics systems”,
*Schlumberger-Doll research center*, Boston (MA), Dec. 1, 2014. - D. Venturi, “Statistical analysis and simulation of random shock waves in scalar conservation laws”,
*APS-DFD 2014*, San Francisco (CA), Nov. 23-25, 2014. - D. Venturi, “MZ-PDF methods for UQ”,
*AFOSR Program Review in Computational Math.*, Arlington (VA), July 29-31, 2014. - D. Venturi, “A new framework for stochastic analysis in large scale simulations based on goal-oriented probability density function methods”, (Keynote Lecture)
*WCCM/ECCOMAS*, Barcelona, July 20-25, 2014. - D. Venturi, “MZ-PDF methods for stochastic analysis in nonlinear dynamical systems”,
*SIAM AN14*, Chicago, July 7-11, 2014 - D. Venturi, “Goal-oriented probability density function methods for uncertainty quantification”,
*2014 SIAM conference on uncertainty quantification*(SIAM UQ14), Savannah (GE), Mar. 31-Apr. 3, 2014. - D. Venturi, “Zwanzig-type PDF equations and exponential integrators for functionals of the solution to nonlinear SPDEs with high-dimensional parametric uncertainty”,
*2013 SIAM Annual Meeting (SIAM AN13)*, San Diego (CA), July 8-12, 2013. - D. Venturi, “Mori-Zwanzig approach to nonlinear stochastic differential equations with high-dimensional parametric-type uncertainty”,
*SIAM Conference on Computational Science and Engineering*, Boston (MA), Feb. 28 , 2013. - D. Venturi, ``Supercritical quasi-conduction states and multiple stable flows in stochastic Rayleigh-Bénard convection'',
*65th Annual Meeting of the American Physical Society (APS), Division of Fluid Dynamics*, San Diego (CA) USA, Nov. 18-20, 2012. - D. Venturi, ``A new approach for obtaining exact PDF equations for low-dimensional nonlinear functionals of the solution to high-dimensional stochastic problems'',
*ICERM - Uncertainty Quantification Workshop*, Providence (RI), Oct. 11, 2012. - D. Venturi, ``A nonlinear dimension reduction technique for random fields based on topology-preserving transformations'',
*2012 SIAM Conference on Uncertainty Quantification*, Raleigh (NC), Apr. 2-4, 2012. - D. Venturi, ``A new approach for developing evolution equations for probability density functions'',
*SAMSI 2011-2012 Program on Uncertainty Quantification: Geosciences Applications Opening Workshop*, Research Triangle Park, Raleigh (NC), Sep. 21-23, 2011. - D. Venturi, ``Differential constraints for the probability density function of stochastic solutions to the wave equation'',
*USA/South America Symposium on Stochastic Modeling & Uncertainty Quantification*, Rio de Janeiro (Brazil), August 1-5, 2011. - D. Venturi, ``Stochastic bifurcation analysis of Rayleigh-Bénard convection'',
*Workshop on Numerical Solution of*Stochastic Partial Differential Equations, Politecnico di Torino, (Italy), May 10-14, 2010. - D. Venturi, ``Stochastic biorthogonal decomposition of random fluid flows'' (poster presentation),
*Symposium on Fluid Science and Turbulence*, Baltimore, Maryland (USA), May 30-31, 2008. - D.Venturi, ``Stochastic thermal convection'',
*58th Annual Meeting of the American Physical Society (APS), Division of Fluid Dynamics*, Chicago (IL) USA, Nov. 20-22, 2005.

**Program Review Presentations**

- D. Venturi, ``Data-driven closures for PDF equations'',
*DARPA EQUiPS*Arlington (VA), August 20, 2017.*Review*, - D. Venturi, ``Approximation of the memory integral in the Mori-Zwanzig formulation'',
*AFOSR Program Review in Computational Math.*, - D. Venturi, ``Measuring the information content of data with PDEs'',
*DARPA EQUiPS Quarterly*June 20, 2017.*Review*, - D. Venturi, ``The numerical approximation of functional differential equations'',
*DARPA Workshop on data and modeling,*Arlington (VA), May 17, 2017. - D. Venturi, ``Data-driven probability density function equations for high-dimensional stochastic dynamical systems'',
*DARPA EQUiPS Quarterly*Feb 2, 2017.*Review*, - D. Venturi, ``Duality and memory in the Mori-Zwazing formulation'',
*AFOSR Program Review in Computational Math.*, - D. Venturi, ``Dimensional reduction and uncertainty quantification through the Mori-Zwanzig formulation'',
*AFOSR Program Review in Computational Math.*, - D. Venturi, ``Multi-fidelity information fusion algorithms for high-dimensional systems and massive data-sets'',
*Report for the DARPA project on design under uncertainty*, Brown University, Providence (RI), Jun 12. 21, 2015. - D. Venturi, ``Multi-fidelity modeling of response surfaces'',
*Kick-off meeting of the DARPA project on design under uncertainty*, Massachusetts Institute of Technology, Boston (MA), Nov. 21, 2014. - D. Venturi, ``MZ-PDF methods for UQ'',
*AFOSR Program Review in Computational Math.*, Arlington (VA), July 29-31, 2014. - D. Venturi, ``Uncertainty propagation across scales'',
*Army Research Lab (ARL) Program Review*, Brown University, Providence (RI), Mar. 3, 2014. - D. Venturi, ``PDF equations for low-dimensional nonlinear functionals of the solution to high-dimensional stochastic problems '',
*AFOSR Program Review in Computational Math.*, Arlington (VA), July 29, 2012. - D. Venturi, ``Response-excitation theory for stochastic ODEs and stochastic PDEs'', 2011 DOE Applied Mathematics Program Meeting, Washington DC, Oct. 17-19, 2011.

**Other Meetings and Workshops Attended**

Arlington (VA), August 14-18, 2017.*AFOSR program review,*Arlington (VA), August 16-18, 2017.*DARPA EquiPS program review,*University of Texas at Austin, March 28-30, 2017.*DARPA EquiPS program review,*"A Data-Driven, Operator-Theoretic Framework for Space-Time Analysis of Process Dynamics", Santa Barbara (CA), Nov 4 2016.*DARPA Workshop,*Arlington (VA), Aug. 8-12, 2016.*AFOSR Program Review in Computational Math.*,22-24, 2016Stanford University, Palo Alto (CA), March*DARPA EquiPS program review*,*.*Nov 8-10, 2015Arlington (VA),*DARPA EquiPS kick-off meeting*,*.*Arlington (VA), Aug. 2-6, 2015.*AFOSR Program Review in Computational Math.*,*Workshop on ``Mathematics in Data Science''*ICERM, Providence (RI), July 28-30, 2015 .*Symposium on ``Mathematics, Computing & Design - where analysis and creativity combine''*, Stanford University, Palo Alto (CA), Nov. 20-21, 2014.*AFOSR Program Review in Computational Math.*, Arlington (VA), July 29-31, 2014.*AFOSR Program Review in Computational Math.*, Arlington (VA), July 29-31, 2013.*AFOSR/Italy Technical Informational Exchange Meeting*, Washington DC, May 29-30, 2013.*International Symposium on Fractional PDEs: Theory, Numerics and Applications*, Salve Regina University, Newport (RI), June 3-5, 2013.*AFOSR Program Review in Computational Math.*, Arlington (VA), July 29-31, 2012.*Workshop on Peridynamics, Dissipative Particle Dynamics and the Mori-Zwanzig Formulation*, Brown University, Providence (RI), Apr. 10-11, 2012.*DOE Applied Mathematics Program Meeting*, Washington DC, Oct. 17-19, 2011.