Andre Nies |

Prof. André Nies School of Computer Science University of Auckland Private Bag 92019 Auckland 1142 New Zealand andre_at_cs_dot_auckland_dot_ac_dot_nz |

1. I apply logical methods to algebraic structures, especially to

See e.g. the works Finite axiomatizability for profinite groups, with Dan Segal and Katrin Tent, Proc. London Math. Soc.,, Volume 123, Issue 6, Dec 2021, Pages 597-635, and Describing finite groups by short first-order sentences. With Katrin Tent. Israel J. Mathematics 221 (2017), 85-115.

Here is a survey paper of results up to 2007: Describing Groups. Bull. Symb. Logic. 13 no 3 (2007), 305-339

2. I study the interplay of

For an overview of work up to 2010 see Interactions of Computability and Randomness, Proc.International Congress of Mathematicians, 2010. For more recent work see e.g. Coherent randomness tests and computing the K-trivial sets, with L. Bienvenu, N. Greenberg, A. Kucera, and D. Turetsky, J. European Math. Society 18 (2016), 773-812, and Computing from projections of random points: a dense hierarchy of subideals of the K-trivial degrees, with Noam Greenberg and Joseph S. Miller, Journal of Mathematical Logic 20, no. 01 (2020), 1950014.

3. I study

See Martin-Loef random quantum states, with Volkher Scholz. Journal of Mathematical Physics 60, 092201 (2019); Published version on journal site.

4. I work on the connection of randomness to

5. I also work on

Metric Scott analysis. With Ben Yaacov, Doucha and Tsankov. Advances in Mathematics 318 (2017) 46–87.

6. I haved studied structures that can be described by

7. In earlier papers (mostly 1994-2003, but a few up to 2012) I have investigated

For more detail see my publications.

I am an editor for the Annals of Pure and Applied Logic. For submissions in computability and related areas, please go to the journal homepage. They should be at a level comparable to the level of the J. Symb. Logic.

Summary of past research up to 2010.

October-November 2023 I am working at the University of Muenster. This is the second of a series of exchanges for the Humboldt Research Award I received in 2020 (host: Prof. Katrin Tent).

I have been editing the logic blog since 2010. Please email me if you want to participate through a shared folder in the dropbox containing the latex source.

Current

2022 Logic Blog

2021 Logic Blog

2020 Logic Blog

2019 Logic Blog

2018 Logic Blog

2017 Logic Blog

2016 Logic Blog

2015 Logic Blog

2014 Logic Blog

2013 Logic Blog

2012 Logic Blog

2011 Logic Blog

2010 Logic Blog

My book ''

Order at Amazon.

List of errata for the book (Jan 2013).

Status of open problems from the book (Oct 2017).

Randomness and computability: Open questions. Version of June 30, 2007 with list of results obtained so far. Published in Bull. Symb. Logic. 12 no 3 (2006) 390-410. Joint with Joe Miller.

The summer school took place September 10-14.

Overseas speakers: Marco Tomamichel (UTS, minicourse), Willem Fouche (Unisa), Anuradha Mahasinghe (University of Colombo). Marco's script and Marco's slides

Retreat with 8 participants at Calpulalpan de Mendez during Nov 30-Dec 4. Program.

Workshop on the occasion of Jouko Vaananen's visit to New Zealand , April at the Research Centre Coromandel. Organised by Sebastian Link and André Nies. Pictures.

Retreat on computability theory and its applications , Feb 18-23 at the Research Centre Coromandel. Organised by Noam Greenberg and André Nies. Pictures.

Retreat and ARA Japan 2014, August 31- Sept 5, Fujinosato, Shizuoka prefecture. (Organized by K. Miyabe and A. Nies). Scientific Programme.

Algorithmic randomness and complexity 2014, Sept 8- 12, National Institute of Informatics, Shonan, Japan. (Organized by R. Downey, K. Miyabe, A. Nies, and O. Watanabe)

ARA South Africa 2014, Feb 10 and 11, Pretoria.

Analysis, Randomness and Applications (ARA) 2013, Nancy, France.

ARA 2011, Auckland (the first ARA)

http://arxiv.org/abs/1902.08725

Last modified: June 2021