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Faculty of Mathematics

 

Career

  • 2016-date: University Lecturer, DAMTP, University of Cambridge, UK
  • 2016: PhD at MIT

Research

Convex optimisation and applications

Selected Publications

Please see my publications page

Teaching

Lent 2017: Topics in Convex Optimisation

Publications

Geometric Rényi Divergence and its Applications in Quantum Channel Capacities.
K Fang, H Fawzi
– CoRR
(2019)
abs/1909.05758,
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory.
K Fang, H Fawzi
– CoRR
(2019)
abs/1908.05155,
Learning dynamic polynomial proofs.
A Fawzi, M Malinowski, H Fawzi, O Fawzi
– CoRR
(2019)
abs/1906.01681,
Semidefinite Approximations of the Matrix Logarithm
H Fawzi, J Saunderson, PA Parrilo
– Foundations of Computational Mathematics
(2019)
19,
259
On representing the positive semidefinite cone using the second-order cone
H Fawzi
– Mathematical Programming
(2019)
175,
109
On polyhedral approximations of the positive semidefinite cone.
H Fawzi
– CoRR
(2018)
abs/1811.09649,
Adversarial vulnerability for any classifier.
A Fawzi, H Fawzi, O Fawzi
– Advances in Neural Information Processing Systems
(2018)
2018-December,
1178
A lower bound on the positive semidefinite rank of convex bodies.
H Fawzi, MSE Din
– SIAM Journal on Applied Mathematics
(2018)
abs/1705.06996,
126
Equivariant semidefinite lifts of regular polygons
H Fawzi, J Saunderson, PA Parrilo
– CoRR
(2017)
abs/1409.4379,
472
Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
H Fawzi, J Saunderson
– Linear Algebra and its Applications
(2017)
513,
240
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384