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
Semidefinite Approximations of the Matrix Logarithm.
– Found. Comput. Math.
(2018)
19,
259
(DOI: 10.1007/s10208-018-9385-0)
Efficient optimization of the quantum relative entropy
– Journal of Physics A: Mathematical and Theoretical
(2018)
51,
154003
(DOI: 10.1088/1751-8121/aab285)
A lower bound on the positive semidefinite rank of convex bodies.
– SIAM Journal on Applied Algebra and Geometry
(2018)
2,
126
(DOI: 10.1137/17m1142570)
On representing the positive semidefinite cone using the second-order cone
– Mathematical Programming
(2018)
175,
1
(DOI: 10.1007/s10107-018-1233-0)
Adversarial vulnerability for any classifier.
– ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018)
(2018)
abs/1802.08686,
1178
Equivariant Semidefinite Lifts of Regular Polygons
– Mathematics of Operations Research
(2017)
abs/1409.4379,
472
(DOI: 10.1287/moor.2016.0813)
Equivariant Semidefinite Lifts of Regular Polygons.
– Math. Oper. Res.
(2017)
42,
472
(DOI: 10.1287/moor.2016.0813)
Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
– Linear Algebra and its Applications
(2017)
513,
240
(DOI: 10.1016/j.laa.2016.10.012)
Sparse sums of squares on finite abelian groups and improved semidefinite lifts
– Proceedings of the IEEE Conference on Decision and Control
(2016)
160,
149
(DOI: 10.1109/CDC.2015.7403148)
Sparse sums of squares on finite abelian groups and improved semidefinite lifts.
– Mathematical Programming
(2016)
160,
149
(DOI: 10.1007/s10107-015-0977-z)
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