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
Sparse sums of squares on finite abelian groups and improved semidefinite lifts
– Math. Program.
(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 J. Optim.
(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)
Positive semidefinite rank.
– Mathematical Programming
(2015)
153,
133
(doi: 10.1007/s10107-015-0922-1)
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)
Positive semidefinite rank.
– CoRR
(2014)
abs/1407.4095,
Exponential lower bounds on fixed-size psd rank and semidefinite extension complexity.
– CoRR
(2013)
abs/1311.2571,
Security for control systems under sensor and actuator attacks
– 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)
(2012)
3412
(doi: 10.1109/cdc.2012.6426811)
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