Projects per year
Personal profile
SUMMARY of research interests (100 words)
My research interests lie in the intersection of operator algebras and mathematical physics. More specifically, I work in algebraic quantum field theory, conformal field theory, quantum information theory and the study of completely positive semigroups.
Qualifications
PhD in Mathematics (2010, Universita di Roma 'Tor Vergata', supervised by Roberto Longo)
MSci in Mathematics (2007, TU Darmstadt, supervised by Burkhard Kuemmerer)
MSci in Physics (2007, TU Darmstadt, supervised by Gernot Alber)
Career Details
from 2013 Lecturer in Analysis at Lancaster University
2012-2013 Postdoc at Cardiff University (UK) and Visiting Scientist at Indian Statistical Institute Kolkata (India)
2010-2012 Postdoc at Roma 'Tor Vergata' (Italy)
2007-2010 PhD Studies in Mathematics, Roma 'Tor Vergata' (Italy)
2002-2007 Undergraduate Studies in Mathematics and in Physics, TU Darmstadt (Germany)
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Projects
- 3 Finished
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Algebraic Quantum Field Theory in the UK 21-23
Hillier, R. (Principal Investigator)
1/10/21 → 31/07/22
Project: Research
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Algebraic Quantum Field Theory in the UK
Hillier, R. (Principal Investigator)
1/10/20 → 30/11/20
Project: Research
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Algebraic Quantum Field Theory in the UK
Hillier, R. (Principal Investigator)
1/10/19 → 30/09/21
Project: Research
Research output
- 20 Journal article
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From vertex operator superalgebras to graded-local conformal nets and back
Carpi, S., Gaudio, T. & Hillier, R., 14/10/2025, (E-pub ahead of print) In: Reviews in Mathematical Physics.Research output: Contribution to Journal/Magazine › Journal article › peer-review
Open AccessFile25 Downloads (Pure) -
Taming the rotating wave approximation
Burgarth, D., Facchi, P., Hillier, R. & Ligabo, M., 21/02/2024, In: Quantum. 8, 1262.Research output: Contribution to Journal/Magazine › Journal article › peer-review
Open AccessFile66 Downloads (Pure) -
Control of quantum noise: on the role of dilations
Burgarth, D., Facchi, P. & Hillier, R., 31/01/2023, In: Annales Henri Poincaré. 24, 1, p. 325-347 23 p.Research output: Contribution to Journal/Magazine › Journal article › peer-review
Open AccessFile55 Downloads (Pure) -
Haploid Algebras in C∗ -Tensor Categories and the Schellekens List
Carpi, S., Gaudio, T., Giorgetti, L. & Hillier, R., 31/08/2023, In: Communications in Mathematical Physics. 402, 1, p. 169-212 44 p.Research output: Contribution to Journal/Magazine › Journal article › peer-review
Open Access -
Stability and convergence of dynamical decoupling with finite amplitude controls
Burgarth, D., Facchi, P. & Hillier, R., 30/11/2022, In: Journal of Mathematical Physics. 63, 11, 14 p., 112206.Research output: Contribution to Journal/Magazine › Journal article › peer-review
Open AccessFile25 Downloads (Pure)