Dr Robin Hillier
LecturerResearch 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.
Distinguishing decoherence from alternative quantum theories by dynamical decoupling
Arenz, C., Hillier, R., Fraas, M., Burgarth, D. 08/2015 In: Physical Review A. 92, 8, 7 p.
Journal article
Super-KMS functionals for graded-local conformal nets
Hillier, R. 08/2015 In: Annales Henri Poincaré. 16, 8, p. 1899–1936. 38 p.
Journal article
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.
Journal article
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.
Journal article
Superconformal nets and noncommutative geometry
Carpi, S., Hillier, R., Longo, R. 2015 In: Journal of Noncommutative Geometry. 9, 2, p. 391-445. 55 p.
Journal article
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.
Journal article
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.
Journal article
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.
Journal article
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.
Journal article