## Dr Robin Hillier

Lecturer

B60 Fylde College

Lancaster University

Bailrigg

Lancaster

United Kingdom

LA1 4YF

+44 (0)1524 594907

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.

### 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/Bangalore (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)

### Robin Hillier's Publications

#### In Press

##### Superconformal nets and noncommutative geometry

Hillier, R., Carpi, S. & Longo, R. 2014 In : Journal of Noncommutative Geometry. 43 p.

Research output: Contribution to journal › Journal article

#### 2014

##### 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.

Research output: Contribution to journal › Journal article

#### 2013

##### 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.

Research output: Contribution to journal › 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.

Research output: Contribution to journal › Journal article

#### 2010

##### 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.

Research output: Contribution to journal › Journal article