Imperial College London

Dr Giovanni Fantuzzi

Faculty of EngineeringDepartment of Aeronautics

Imperial College Research Fellow
 
 
 
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Contact

 

giovanni.fantuzzi10 Website

 
 
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Location

 

420BCity and Guilds BuildingSouth Kensington Campus

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Summary

 

Summary

I am an Imperial College Research Fellow in the Department of Aeronautics. My research explores new ways in which semidefinite and polynomial optimisation can be leveraged to study dynamical systems governed by nonlinear differential equations. This includes the theoretical formulation of general frameworks to analyse nonlinear systems using optimisation, as well as the application of these frameworks to challenging problemsfor instance, the study of turbulence. I am also interested in developing structure-exploiting algorithms to solve large semidefinite and polynomial optimization problems.

To learn more about my work, visit my Research page or look at my publications.

Office hours
Monday, 14:00-15:00 (virtual)
To arrange a meeting at a different time, just email me.


CAREER HISTORY

  • December 2018 - present: Imperial College Research Fellow, Department of Aeronautics, Imperial College London
  • March 2018 - November 2018: EPSRC Doctoral Prize Fellow, Department of Aeronautics, Imperial College London
  • 2015 - 2016: Research Assistant, Department of Engineering Science, University of Oxford
  • 2015: Fellow, Geophysical Fluid Dynamics Program, Woods Hole Oceanographic Institution
  • 2014 - 2018: Ph.D. in Aeronautical Engineering, Department of Aeronautics, Imperial College London
  • 2010 - 2014: M.Eng in Aeronautical Engineering, Department of Aeronautics, Imperial College London

Selected Publications

Journal Articles

Zheng Y, Fantuzzi G, 2021, Sum-of-squares chordal decomposition of polynomial matrix inequalities, Mathematical Programming, ISSN:0025-5610

Zheng Y, Fantuzzi G, Papachristodoulou A, 2021, Chordal and factor-width decompositions for scalable semidefinite and polynomial optimization, Annual Reviews in Control, ISSN:1367-5788

Arslan A, Fantuzzi G, Craske J, et al., 2021, Bounds on heat transport for convection driven by internal heating, Journal of Fluid Mechanics, Vol:919, ISSN:0022-1120, Pages:1-34

Zheng Y, Fantuzzi G, Papachristodoulou A, et al., 2020, Chordal decomposition in operator-splitting methods for sparse semidefinite programs, Mathematical Programming, Vol:180, ISSN:0025-5610, Pages:489-532

Fantuzzi G, Nobili C, Wynn A, 2020, New bounds on the vertical heat transport for Benard-Marangoni convection at infinite Prandtl number, Journal of Fluid Mechanics, Vol:885, ISSN:0022-1120

Fantuzzi G, Goluskin D, 2020, Bounding Extreme Events in Nonlinear Dynamics Using Convex Optimization, SIAM Journal on Applied Dynamical Systems, Vol:19, ISSN:1536-0040, Pages:1823-1864

Goluskin D, Fantuzzi G, 2019, Bounds on mean energy in the Kuramoto-Sivashinsky equation computed using semidefinite programming, Nonlinearity, Vol:32, ISSN:0951-7715, Pages:1705-1730

Fantuzzi G, Pershin A, Wynn A, 2018, Bounds on heat transfer for Benard-Marangoni convection at infinite Prandtl number, Journal of Fluid Mechanics, Vol:837, ISSN:0022-1120, Pages:562-596

Fantuzzi G, Goluskin D, Huang D, et al., 2016, Bounds for Deterministic and Stochastic Dynamical Systems using Sum-of-Squares Optimization, SIAM Journal on Applied Dynamical Systems, Vol:15, ISSN:1536-0040, Pages:1962-1988

More Publications