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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

Entropy Constraints for Ground Energy Optimization
H Fawzi, O Fawzi, SO Scalet
– Journal of Mathematical Physics
(2024)
65,
032201
Sum-of-Squares Proofs of Logarithmic Sobolev Inequalities on Finite Markov Chains
O Faust, H Fawzi
– IEEE Trans. Inf. Theory
(2023)
70,
803
Lifting for Simplicity: Concise Descriptions of Convex Sets
H Fawzi, J Gouveia, PA Parrilo, J Saunderson, RR Thomas
– SIAM Review
(2022)
64,
866
On Polyhedral Approximations of the Positive Semidefinite Cone
H Fawzi
– CoRR
(2021)
46,
1479
The Set of Separable States has no Finite Semidefinite Representation Except in Dimension $3\times 2$
H Fawzi
– Communications in Mathematical Physics
(2021)
386,
1319
Geometric Rényi Divergence and its Applications in Quantum Channel Capacities.
K Fang, H Fawzi
– Communications in Mathematical Physics
(2021)
abs/1909.05758,
1615
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
Defining quantum divergences via convex optimization.
H Fawzi, O Fawzi
– Quantum
(2021)
5,
387
The sum-of-squares hierarchy on the sphere and applications in quantum information theory
K Fang, H Fawzi
– Math. Program.
(2020)
190,
331
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384