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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

On polyhedral approximations of the positive semidefinite cone.
H Fawzi
– CoRR
(2021)
abs/1811.09649,
moor.2020.1077
Defining quantum divergences via convex optimization
H Fawzi, O Fawzi
– Quantum
(2021)
5,
1
Computing conditional entropies for quantum correlations
P Brown, H Fawzi, O Fawzi
– Nature Communications
(2021)
12,
575
The sum-of-squares hierarchy on the sphere and applications in quantum information theory
K Fang, H Fawzi
– Mathematical Programming
(2020)
1
On representing the positive semidefinite cone using the second-order cone.
H Fawzi
– Math. Program.
(2019)
175,
109
Learning dynamic polynomial proofs.
A Fawzi, M Malinowski, H Fawzi, O Fawzi
– Advances in Neural Information Processing Systems
(2019)
32,
Geometric Rényi Divergence and its Applications in Quantum Channel Capacities.
K Fang, H Fawzi
– CoRR
(2019)
abs/1909.05758,
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,
409601
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
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384