**NOTE:**
This page is not up-to-date any more, and will not be updated in the future. Please consult my new homepage.

I work as a PhD student of Michael Müger and Klaas Landsman, in the mathematical physics group.

## Contact details

Pieter Naaijkens |

Radboud University |

FNWI / IMAPP / Mathematics |

Postbus 9010 |

6500 GL Nijmegen |

The Netherlands |

You can visit me at:

Huygens building, room HG 03.067 Heyendaalseweg 135, Nijmegen | |

Telephone: | +31 (0)24 3652872 |

Fax: | +31 (0)24 3553450 |

E-mail: | p.naaijkens AT nospam DOT math DOT ru DOT nl (please remove nospam part) |

## Research

My current research interests are in local quantum physics and in category theory. In particular, I work on how structures arising in aQFT can be described categorically. My research focusses on connections with topological quantum computing. In particular, I am interested in rigorous treatment, using operator algebraic methods, of quantum spin models on an infinite lattice, from a local quantum physics viewpoint. In certain cases the superselection structure of such models can be described by braided tensor categories.

## Publications

### Articles and preprints

- Haag duality and the distal split property for cones in the toric code, 2011 (preprint)
- Localized endomorphisms in Kitaev's toric code on the plane
*Rev. Math. Phys.***23**:347–373, 2011 (journal | preprint) - On the extension of stringlike localised sectors in 2+1 dimensions
*Comm. Math. Phys.***303**:385–420, 2011 (journal | preprint) - Topologische kwantumcomputers: rekenen met vlechten
*Nieuw Arch. Wiskd.***11**:187–193, sept. 2010, semi-popular, in Dutch (journal) - Four-point functions of different-weight operators in the AdS/CFT correspondence (with L. Berdichevsky)
*JHEP***0801**:071, 2008 (journal | preprint)

### Theses

*Four-point functions of N=4 SYM*, Master's Thesis, Utrecht University, 2007_{4}in the AdS/CFT correspondence

*Cartesisch gesloten deelcategoriëen van*, Bachelor's Thesis, Utrecht University, 2004**Top**

## Talks

Here you can find a selection of my talks.

*Localised endomorphisms in Kitaev's*, 27**Z**_{2}model on the plane^{th}workshop on foundartions and constructive aspects of QFT, Leipzig (November 20, 2010)*Topological quantum computation and tensor categories*, PhD Colloquium, Utrecht (June 23, 2010)*Topological quantum computers, modular categories and superselection sectors*, Oberseminar*C**-Algebren, Münster (February 2, 2010)*Extensions of stringlike localised sectors to the DHR field net*, 25^{th}workshop on foundations and constructive aspects of QFT, Göttingen (January 15, 2010)

*Topological quantum computers and modular categories*Mathematics staff colloquium, Nijmegen (May 27, 2009)*Topological quantum computers and modular categories*EIDMA Seminar, Eindhoven (May 20, 2009)*Topological quantum computers: towards a rigorous description*, Philips Mathematics Award, Groningen (April 15, 2009)*Cartesion closed subcategories of*, Seminar on quantization, non-commutative geometry and symmetry, Nijmegen (February 12, 2008)**Top***A non-trivial test of the AdS/CFT correspondence*, Seminar on quantization, non-commutative geometry and symmetry, Nijmegen (January 22, 2008)

## Teaching

I have taught in the following courses:

- Spring 2011: teaching assistant Symmetry Breaking
- Spring 2010: teaching assistant Inleiding Fourieranalyse
- Fall 2009: teaching assistant Topologie
- Spring 2009: teaching assistant bachelor course Introduction to partial differential equations
- Spring 2008: teaching assistant for Analysis I

In August 2008, I gave a summer course (see here for information for participants) for high-school students who do not have the right prerequisites for admission to the mathematics bachelor program.

I also participated in the Sprint-Up program summer 2008 till summer 2010.

## Events

Starting September 2008, I am organising the PhD colloquium.

- 28
^{th}workshop on "Foundations and constructive aspects of QFT" (July 1 and 2, 2011) - Seminar "Topics in mathematical physics"
- Algemeen wiskunde colloquium (weekly)
- Seminar on Quantization, non-commutative geometry and symmetry (regularly)

**Past events**

- Seminar "Topics in operator algebra" (weekly, seminars finished)
- 27
^{th}workshop on "Foundations and constructive aspects of QFT" (November 19 and 20, 2010) - Conference Quantum Groups (August 30-September 3, 2010)
- 26
^{th}workshop on "Foundations and constructive aspects of QFT" (June 18 and 19, 2010) - 25
^{th}workshop on "Foundations and constructive aspects of QFT" (January 15 and 16, 2010) - International congress on mathematical physics (August 3-8, 2009)
- Algebraic Quantum Field Theory - The first 50 years (July 29-31, 2009)
- Summer School on Operator Algebras and Applications (June 15-19, 2009)
- Nederlands Mathematisch Congres 2009 (April 14 and 15, 2009)
- 23
^{nd}workshop on "Foundations and constructive aspects of QFT" (January 30 and 31, 2009) - DIAMANT meets GQT workshop (October 27-31, 2008)
- ESI Program on Operator Algebras and cQFT (September 8-19, 2008)
- Summer school "Aspects of operator algebras and applications" (July 21-25, 2008)
- Fifth European Congress for Mathematicians (July 14-18, 2008)
- Stieltjes week on noncommutative integration (June 9-13, 2008)
- 22
^{nd}workshop on "Foundations and constructive aspects of QFT" (June 6 and 7, 2008)

## Links

Some interesting weblog and websites: