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Universidade Nacional da Irlanda em Galway -- Ciência sem Fronteiras
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Use one form per project
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Please complete & submit to international@nuigalway.ie
as soon as possible, and by
27/11/2012
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In your email, begin the subject line with [SWB] (be sure to use square brackets) to ensure that your email is filed correctly. Emails will be automatically filed
PI name & contact details: Götz Pfeiffer
(goetz.pfeiffer@nuigalway.ie)
Mathematics School:
Has project been agreed with head (or nominee) of proposed registration school?
Research Centre / group affiliation:
Research group / centre website:
DeBrun Centre for Computational Algebra http://hamilton.nuigalway.ie/DeBrunCentre/
PI website / link to CV: http://schmidt.nuigalway.ie/goetz/
Brief summary of PI research / research group / centre activity (2 or 3 lines max):
If you are already involved in relevant scholarly activities relating to Brazil, please mention them here.
Title & brief description of PhD project (suitable for publication on web):
Finite Coxeter groups and their algebras.
A finite Coxeter group is a group generated by reflections, describing the symmetries of higher dimensional analogues of the Platonic solids, and related phenomena in nature and mathematics.
Each Coxeter group gives rise to various algebras: the group algebra, the descent algebra, Iwahori-Hecke algebras, the face monoid algebra of the reflection arrangement, and more. In this project we study relationships between these algebras through theoretical and experimental methods: computer implementations of algebraic objects are developed to aid the structural investigation.

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Universidade Nacional da Irlanda em Galway -- Ciência sem Fronteiras
Unique selling points of PhD project in NUI Galway:
NUI Galway projects should emphasise features that are not typically available in Brazil – specific equipment, multi-disciplinarity, aspects of structured programme, links with industry, placements, links with other research groups etc.
The DeBrun Centre for Computational Algebra at NUIG offers a unique environment for research in computational algebra and related areas, with highly experienced staff, a large postgraduate community, and many international research links.
Name & contact details for project queries, if different from PI named above:
Please indicate the graduates of which disciplines that should apply:
Mathematics
Ciência sem Fronteiras / Science Without Borders Priority Area:
Please indicate the specific programme priority area under which the proposed PhD project fits- choose only one (tick box):
Engineering and other technological areas x Pure and Natural Sciences (e.g. mathematics, physics, chemistry)/Physical Sciences (Mathematics, Physics,
Chemistry, Biology and Geosciences)
Health and Biomedical Sciences / Clinical, Pré-clinical and Health Sciences
Information and Communication Technologies (ICTs),
Computing
Aerospace
Pharmaceuticals
Sustainable Agricultural Production
Oil, Gas and Coal
Renewable Energy
Minerals, Minerals Technology
Biotechnology
Nanotechnology and New Materials
Technologies for Prevention and Mitigation of

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Universidade Nacional da Irlanda em Galway -- Ciência sem Fronteiras
Natural Disasters
Bioprospecting and Biodiversity
Marine Sciences
Creative Industry
New technologies in constructive engineering
Please indicate which of the following applies to this project (referring to Science Without
Borders arrangements):
Suitable only as a Full PhD (Y/N): _ __Y__
Available to candidates seeking a Sandwich PhD arrangement (Y/N): _____N
Suitable for either/Don’t know: _____