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
– Journal of Mathematical Physics
(2024)
65,
032201
(doi: 10.1063/5.0159108)
Sum-of-Squares Proofs of Logarithmic Sobolev Inequalities on Finite Markov Chains
– IEEE Transactions on Information Theory
(2023)
70,
803
(doi: 10.1109/TIT.2023.3338292)
Lifting for Simplicity: Concise Descriptions of Convex Sets
– SIAM Review
(2022)
64,
866
(doi: 10.1137/20m1324417)
On polyhedral approximations of the positive semidefinite cone.
– CoRR
(2021)
46,
1479
(doi: 10.1287/moor.2020.1077)
The Set of Separable States has no Finite Semidefinite Representation Except in Dimension $3\times 2$
– Communications in Mathematical Physics
(2021)
386,
1319
(doi: 10.1007/s00220-021-04163-2)
Geometric Rényi Divergence and its Applications in Quantum Channel Capacities.
– Communications in Mathematical Physics
(2021)
abs/1909.05758,
1615
(doi: 10.1007/s00220-021-04064-4)
Defining quantum divergences via convex optimization
– Quantum
(2021)
5,
387
(doi: 10.22331/Q-2021-01-26-387)
Computing conditional entropies for quantum correlations
– Nature communications
(2021)
12,
575
(doi: 10.1038/s41467-020-20018-1)
Defining quantum divergences via convex optimization.
– Quantum
(2021)
5,
387
(doi: 10.22331/q-2021-01-26-387)
The sum-of-squares hierarchy on the sphere and applications in quantum information theory
– Mathematical Programming
(2020)
190,
331
(doi: 10.1007/s10107-020-01537-7)
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