Dr Robin Hillier

Lecturer in Pure Mathematics

Research Overview

My research interests are in the wider field of operator algebras and mathematical physics. More specifically, I work in algebraic quantum field theory and its relations to noncommutative differential geometry. Apart from that I have projects in the area of quantum probability and information theory and the study of completely positive semigroups.

Loop groups and noncommutative geometry
Carpi, S., Hillier, R.O. 10/2017 In: Reviews in Mathematical Physics. 29, 9, 42 p.
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Dynamical decoupling and homogenization of continuous variable systems
Arenz, C., Burgarth, D., Hillier, R.O. 3/03/2017 In: Journal of Physics A: Mathematical and Theoretical. 50, 13, 17 p.
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Distinguishing decoherence from alternative quantum theories by dynamical decoupling
Arenz, C., Hillier, R., Fraas, M., Burgarth, D. 3/08/2015 In: Physical Review A. 92, 8, 7 p.
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Super-KMS functionals for graded-local conformal nets
Hillier, R. 08/2015 In: Annales Henri Poincaré. 16, 8, p. 1899–1936. 38 p.
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N = 2 superconformal nets
Carpi, S., Hillier, R., Kawahigashi, Y., Longo, R., Xu, F. 06/2015 In: Communications in Mathematical Physics. 336, 3, p. 1285-1328. 44 p.
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A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence
Hillier, R., Arenz, C., Burgarth, D. 17/04/2015 In: Journal of Physics A: Mathematical and Theoretical. 48, 15, 27 p.
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Superconformal nets and noncommutative geometry
Carpi, S., Hillier, R., Longo, R. 2015 In: Journal of Noncommutative Geometry. 9, 2, p. 391-445. 55 p.
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Local-entire cyclic cocycles for graded quantum field nets
Hillier, R. 03/2014 In: Letters in Mathematical Physics. 104, 3, p. 271-298. 28 p.
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Representations of conformal nets, universal C*-algebras and K-theory
Carpi, S., Conti, R., Hillier, R., Weiner, M. 05/2013 In: Communications in Mathematical Physics. 320, 1, p. 275-300. 26 p.
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Conformal nets and KK-theory
Carpi, S., Conti, R., Hillier, R. 01/2013 In: Annals of Functional Analysis. 4, 1, p. 11-17. 7 p.
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Spectral triples and the super-Virasoro algebra
Carpi, S., Hillier, R., Kawahigashi, Y., Longo, R. 04/2010 In: Communications in Mathematical Physics. 295, 1, p. 71-97. 27 p.
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