I am an Imperial College Research Fellow in the Department of Aeronautics. My research focusses on the development of methods for the analysis of nonlinear dynamical system, which combine rigorous mathematical analysis with numerical tools for semidefinite and sum-of-squares (SOS) optimisation. Such methods are still in their infancy but my long term goal is to apply these to complex systems, especially those coming from fluid mechanics. My other research interests include the development of structure- and sparsity-exploiting algorithms for the solution of large-scale semidefinite and SOS programmes, as well as the formulation of modelling frameworks for dynamical system analysis that can easily take advantage of these. Please visit the Research tab for more information.
Students with a strong mathematical background who would like to pursue a PhD in one of these areas are more than welcome to contact me to express their interests (read this post for useful tips on writing a successful application email).
- 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
Goluskin D, Fantuzzi G, Bounds on mean energy in the Kuramoto-Sivashinsky equation computed using semidefinite programming, Nonlinearity, ISSN:0951-7715
et al., 2019, Chordal decomposition in operator-splitting methods for sparse semidefinite programs, Mathematical Programming, ISSN:0025-5610
Fantuzzi G, 2018, Bounds for Rayleigh-Benard convection between free-slip boundaries with an imposed heat flux, Journal of Fluid Mechanics, Vol:837, ISSN:0022-1120
Fantuzzi G, Pershin A, Wynn A, 2018, Bounds on heat transfer for Bénard-Marangoni convection at infinite Prandtl number, Journal of Fluid Mechanics, Vol:837, ISSN:0022-1120, Pages:562-596
et al., 2017, Optimization with affine homogeneous quadratic integral inequality constraints, Ieee Transactions on Automatic Control, Vol:62, ISSN:1558-2523, Pages:6221-6236
Fantuzzi G, Wynn A, 2017, Exact energy stability of Bénard–Marangoni convection at infinite Prandtl number, Journal of Fluid Mechanics, Vol:822, ISSN:1469-7645
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
et al., 2017, Fast ADMM for homogeneous self-dual embedding of sparse SDPs, 20th World Congress of the International-Federation-of-Automatic-Control (IFAC), ELSEVIER SCIENCE BV, Pages:8411-8416, ISSN:2405-8963