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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

Sparse sums of squares on finite abelian groups and improved semidefinite lifts
H Fawzi, J Saunderson, PA Parrilo
– Proceedings of the IEEE Conference on Decision and Control
(2016)
160,
149
Sparse sums of squares on finite abelian groups and improved semidefinite lifts
H Fawzi, J Saunderson, PA Parrilo
– Math. Program.
(2016)
160,
149
Rational and real positive semidefinite rank can be different.
H Fawzi, J Gouveia, RZ Robinson
– Operations Research Letters
(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
– Math. Program.
(2015)
158,
417
Positive semidefinite rank
H Fawzi, J Gouveia, PA Parrilo, RZ Robinson, RR Thomas
– Mathematical Programming
(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 Transactions on Automatic 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,
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384