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
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 sum-of-squares certificates on finite abelian groups.
– 2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
(2016)
160,
5909
(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)
Rational and real positive semidefinite rank can be different
– Oper. Res. Lett.
(2016)
44,
59
(doi: 10.1016/j.orl.2015.11.012)
Equivariant Semidefinite Lifts and Sum-of-Squares Hierarchies
– SIAM Journal on Optimization
(2015)
25,
2212
(doi: 10.1137/140966265)
Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank.
– Math. Program.
(2015)
158,
417
(doi: 10.1007/s10107-015-0937-7)
Lower bounds on nonnegative rank via nonnegative nuclear norms
– Mathematical Programming
(2014)
153,
41
(doi: 10.1007/s10107-014-0837-2)
Secure Estimation and Control for Cyber-Physical Systems Under Adversarial Attacks
– IEEE Transactions on Automatic Control
(2014)
59,
1454
(doi: 10.1109/TAC.2014.2303233)
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