AISB Wired Health

    AISB and WIRED events have partnered to bring together inspirational high-profile speakers. Join hundreds of healthcare, pharmaceutical and technology influencers and leaders at the 4th Annual WIRED Health event, taking pl...


Hugh Gene Loebner

  The AISB were sad to learn last week of the passing of philanthropist and inventor Hugh Gene Loebner PhD, who died peacefully in his home in New York at the age of 74.  Hugh was founder and sponsor of The Loebner Prize, an an...


AI Europe 2016

  Partnership between AISB and AI Europe 2016: Next December 5th and 6th in London, AI Europe will bring together the European AI eco-system by gathering new tools and future technologies appearing in professional fields for th...


AISB convention 2017

  In the run up to AISB2017 convention (, I've asked Joanna Bryson, from the organising team, to answer few questions about the convention and what comes with it. Mohammad Majid...


Harold Cohen

Harold Cohen, tireless computer art pioneer dies at 87   Harold Cohen at the Tate (1983) Aaron image in background   Harold Cohen died at 87 in his studio on 27th April 2016 in Encintias California, USA.The first time I hear...


Dancing with Pixies?...

At TEDx Tottenham, London Mark Bishop (the former chair of the Society) demonstrates that if the ongoing EU flagship science project - the 1.6 billion dollar "Human Brain Project” - ultimately succeeds in understanding all as...


Computerised Minds. ...

A video sponsored by the society discusses Searle's Chinese Room Argument (CRA) and the heated debates surrounding it. In this video, which is accessible to the general public and those with interest in AI, Olly's Philosophy Tube ...


Connection Science

All individual members of The Society for the Study of Artificial Intelligence and Simulation of Behaviour have a personal subscription to the Taylor Francis journal Connection Science as part of their membership. How to Acce...



AISB opportunities Bulletin Item

1 fully funded studentship in set theory, Norwich, U.K.

Fully Funded Studentship
University of East Anglia -Mathematics

School of Mathematics, Faculty of Science

Investigation of function spaces k^k, the generalised real numbers

Research Keywords:  Mathematics

Deadline: 1st April 2013. This studentship is available for a 1st October 2013 

Supervisory Team: Primary: Professor Mirna Dzamonja (School of Mathematics) 
Secondary: Dr David Aspero (School of Mathematics)

The Project: The function space ww of the functions from the set of natural 
numbers to itself is the main object of research in mathematics: this is in 
fact the Baire space or the real numbers. It has been investigated from the 
point of view of descriptive and combinatorial set theory, topology and measure 
theory. We are interested in higher cardinal analogues of this space, for 
example the space w1w1 is the subject of investigation in [ii] and for k strong 
limit singular of cofinality w, the space kk is the subject of [i]. A striking 
difference exists between the two spaces mentioned here: the properties of the 
former one are very much independent of the axioms ZFC of set theory, while the 
properties of the latter one are computable in ZFC. This difference seeks to be 
explored: what happens when k is singular of uncountable cofinality, what about 
k successor of singular? These questions are in the heart of modern set theory 
and lie behind many other questions. To resolve them we need to use the modern 
techniques, and to develop new ones. This is the basis of this very ambitious 
Ph.D. project.

The ideal candidate will have a very strong background in mathematics and some 
experience in set theory.

Entry Requirements: A first class UK honours degree, or the equivalent 
qualifications gained outside the UK, in Mathematics.

Funding: This project is specifically funded for international students only. 
This funding includes full tuition fees and an annual stipend of 13,726. 
Funding is available for 3 years. Home/EU students are still welcome to apply 
provided they are able to secure their own source of funding.

Making Your Application: Please apply via the University?s online application 
system by clicking the APPLY button below. To discuss the application process 
or particular projects, please contact the: Admissions Office, email: or telephone +44 (0)1603 591709.