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
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
– Mathematical Programming
(2016)
160,
149
(doi: 10.1007/s10107-015-0977-z)
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 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)
Positive semidefinite rank.
– Mathematical Programming
(2015)
153,
133
(doi: 10.1007/s10107-015-0922-1)
Lower bounds on nonnegative rank via nonnegative nuclear norms.
– Math. Program.
(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,
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