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Department of Applied Mathematics and Theoretical Physics

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

The sum-of-squares hierarchy on the sphere and applications in quantum information theory
K Fang, H Fawzi
– Mathematical Programming
(2020)
abs/1908.05155,
1
On representing the positive semidefinite cone using the second-order cone.
H Fawzi
– Math. Program.
(2019)
175,
109
Geometric Rényi Divergence and its Applications in Quantum Channel Capacities.
K Fang, H Fawzi
– CoRR
(2019)
abs/1909.05758,
Learning dynamic polynomial proofs.
A Fawzi, M Malinowski, H Fawzi, O Fawzi
– Advances in Neural Information Processing Systems
(2019)
32,
Semidefinite Approximations of the Matrix Logarithm
H Fawzi, J Saunderson, PA Parrilo
– Found. Comput. Math.
(2018)
19,
259
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
On representing the positive semidefinite cone using the second-order cone
H Fawzi
– Mathematical Programming
(2018)
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)
abs/1802.08686,
1178
Equivariant Semidefinite Lifts of Regular Polygons
H Fawzi, J Saunderson, PA Parrilo
– Mathematics of Operations Research
(2017)
42,
472
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384