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Faculty of Mathematics

 

Career

  • 2022-date: Professor of Applied Mathematics, DAMTP, University of Cambridge, UK
  • 2016-2022: University Lecturer, DAMTP, University of Cambridge, UK
  • 2016: PhD at MIT

Research

Convex optimisation and applications

Selected Publications

Please see my publications page

Teaching

See my personal webpage

Publications

Equivariant Semidefinite Lifts and Sum-of-Squares Hierarchies.
H Fawzi, J Saunderson, PA Parrilo
– SIAM J. Optim.
(2015)
25,
2212
Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank
H Fawzi, PA Parrilo
– Mathematical Programming
(2015)
158,
417
Positive semidefinite rank.
H Fawzi, J Gouveia, PA Parrilo, RZ Robinson, RR Thomas
– Math. Program.
(2015)
153,
133
Lower bounds on nonnegative rank via nonnegative nuclear norms.
H Fawzi, PA Parrilo
– Math. Program.
(2014)
153,
41
Secure estimation and control for cyber-physical systems under adversarial attacks
H Fawzi, P Tabuada, S Diggavi
– IEEE Trans. Autom. Control.
(2014)
59,
1454
Positive semidefinite rank.
H Fawzi, J Gouveia, PA Parrilo, RZ Robinson, RR Thomas
– CoRR
(2014)
abs/1407.4095,
Exponential lower bounds on fixed-size psd rank and semidefinite extension complexity.
H Fawzi, PA Parrilo
– CoRR
(2013)
abs/1311.2571,
Security for control systems under sensor and actuator attacks.
H Fawzi, P Tabuada, S Diggavi
– 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
(2012)
3412
Secure estimation and control for cyber-physical systems under adversarial attacks
H Fawzi, P Tabuada, SN Diggavi
– CoRR
(2012)
abs/1205.5073,
An improved self-triggered implementation for linear controllers
J Araújo, H Fawzi, M Mazo, P Tabuada, KH Johansson
– IFAC Proceedings Volumes (IFAC-PapersOnline)
(2012)
45,
37
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384