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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

Semidefinite Approximations of the Matrix Logarithm.
H Fawzi, J Saunderson, PA Parrilo
– Foundations of Computational Mathematics
(2018)
19,
259
Efficient optimization of the quantum relative entropy
H Fawzi, O Fawzi
– Journal of Physics A: Mathematical and Theoretical
(2018)
51,
154003
A lower bound on the positive semidefinite rank of convex bodies.
H Fawzi, MSE Din
– SIAM Journal on Applied Algebra and Geometry
(2018)
2,
126
On representing the positive semidefinite cone using the second-order cone
H Fawzi
– Mathematical Programming
(2018)
175,
109
Adversarial vulnerability for any classifier
A Fawzi, H Fawzi, O Fawzi
– ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018)
(2018)
31,
1178
Equivariant semidefinite lifts of regular polygons.
H Fawzi, J Saunderson, PA Parrilo
– Mathematics of Operations Research
(2017)
abs/1409.4379,
472
Equivariant Semidefinite Lifts of Regular Polygons.
H Fawzi, J Saunderson, PA Parrilo
– Math. Oper. Res.
(2017)
42,
472
Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
H Fawzi, J Saunderson
– Linear Algebra and Its Applications
(2017)
513,
240
Sparse sums of squares on finite abelian groups and improved semidefinite lifts
H Fawzi, J Saunderson, PA Parrilo
– Mathematical Programming
(2016)
160,
149
Sparse sums of squares on finite abelian groups and improved semidefinite lifts.
H Fawzi, J Saunderson, PA Parrilo
– Mathematical Programming
(2016)
160,
149
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384