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
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.
– Mathematical Programming
(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 Trans. Autom. 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)
Secure estimation and control for cyber-physical systems under adversarial attacks
– CoRR
(2012)
abs/1205.5073,
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