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.

Dynamical decoupling of unbounded Hamiltonians
Arenz, C., Burgarth, D., Facchi, P., Hillier, R.O. 20/03/2018 In: Journal of Mathematical Physics. 59, 3, 16 p.
Journal article

Loop groups and noncommutative geometry
Carpi, S., Hillier, R.O. 10/2017 In: Reviews in Mathematical Physics. 29, 9, 42 p.
Journal article

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.
Journal article

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.
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