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Department of Applied Mathematics and Theoretical Physics

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

Rational and real positive semidefinite rank can be different
H Fawzi, J Gouveia, RZ Robinson
– Oper. Res. Lett.
(2016)
44,
59
Equivariant Semidefinite Lifts and Sum-of-Squares Hierarchies
H Fawzi, J Saunderson, PA Parrilo
– SIAM Journal on Optimization
(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
– Mathematical Programming
(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 ANNUAL 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,
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384