ORCID Profile
0000-0001-9376-5712
Current Organisation
University of South Australia
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Research Topics
In Research Link Australia (RLA), "Research Topics" refer to ANZSRC FOR and SEO codes. These topics are either sourced from ANZSRC FOR and SEO codes listed in researchers' related grants or generated by a large language model (LLM) based on their publications.
Top 5 Research Topics
ANZSRC Field of Research (FoR)
Pure Mathematics | Group Theory and Generalisations | Group Theory And Generalisations (Incl. Topological Groups And Lie | Geometry | Operator Algebras and Functional Analysis | Functional Analysis | Rings And Algebras | Topology And Manifolds | Topology | Discrete Mathematics
ANZSRC Socio-Economic Objective (SEO)
Mathematical sciences | Expanding Knowledge in the Mathematical Sciences |
Related Links
Publications
Phase transition on Exel crossed products associated to dilation matrices
Publisher: Elsevier BV
Date: 12-2011
Equilibrium states and growth of quasi-lattice ordered monoids
Publisher: American Mathematical Society (AMS)
Date: 03-2019
DOI: 10.1090/PROC/14108
Contraction groups in complete Kac-Moody groups
Publisher: European Mathematical Society - EMS - Publishing House GmbH
Date: 2008
DOI: 10.4171/GGD/43
Twisted Steinberg algebras
Publisher: Elsevier BV
Date: 03-2019
A realization of certain affine Kac-moody groups of types II and III
Publisher: Elsevier BV
Date: 02-1995
Cohomology of buildings and finiteness properties of Ãn-groups
Publisher: American Mathematical Society (AMS)
Date: 21-08-2002
DOI: 10.1090/S0002-9947-01-02818-5
Abstract: Borel and Serre calculated the cohomology of the building associated to a reductive group and used the result to deduce that torsion-free S S -arithmetic groups are duality groups. By replacing their group-theoretic arguments with proofs relying only upon the geometry of buildings, we show that Borel and Serre’s approach can be modified to calculate the cohomology of any locally finite affine building. As an application we show that any finitely presented A ~ n \\widetilde {A}_n -group is a virtual duality group. A number of other finiteness conditions for A ~ n \\widetilde {A}_n -groups are also established.
Scale and tidy subgroups for Weyl-transitive automorphism groups of buildings
Publisher: Elsevier BV
Date: 02-2019
Equilibrium on Toeplitz extensions of higher dimensional noncommutative tori
Publisher: Elsevier BV
Date: 05-2022
A Haagerup inequality for Ã1 × Ã1 and Ã2 buildings
Publisher: Springer Science and Business Media LLC
Date: 09-1998
Scale-multiplicative semigroups and geometry: Automorphism groups of trees
Publisher: European Mathematical Society - EMS - Publishing House GmbH
Date: 2016
DOI: 10.4171/GGD/376
Posets and differential graded algebras
Publisher: Cambridge University Press (CUP)
Date: 02-1998
DOI: 10.1017/S1446788700001257
Abstract: If P is a partially ordered set and R is a commutative ring, then a certain differential graded R -algebra A • (P) is defined from the order relation on P . The algebra A • ( ) corresponding to the empty poset is always contained in A • (P) so that A • (P) can be regarded as an A • ( )-algebra. The main result of this paper shows that if R is an integral domain and P and P′ are finite posets such that A • (P) ≅ A • (P′) as differential graded A • ( )-algebras, then P and P ′ are isomorphic.
On Certain Fixed Point Subgroups of Affine Kac-Moody Groups
Publisher: Elsevier BV
Date: 1995
Factors from trees
Publisher: American Mathematical Society (AMS)
Date: 1997
Durham University students’ experiences of asymptomatic COVID-19 testing: a qualitative study
Publisher: BMJ
Date: 12-2021
DOI: 10.1136/BMJOPEN-2021-055644
Abstract: To evaluate the asymptomatic coronavirus testing programme at Durham University by exploring students’ barriers and facilitators to taking part and provide recommendations to improve the programme. Qualitative interviews. Online. 30 students enrolled at Durham University were interviewed in March 2021. Attitudes towards testing, experiences of testing and barriers and facilitators to engaging in testing at Durham University. Key motivations for testing included protecting oneself and others and accessing facilities and events. The process of booking, accessing and doing a test was mostly easy and convenient, although some may prefer home testing. There were concerns about the accuracy of tests and the implications of a positive result. Some highlighted they might be less likely to engage in testing if vaccinated. A negative test result provided confidence to engage in their daily activities, while encouraging some to socialise more. The findings show that the testing programme at Durham University is convenient and well organised, with testing as a potential requirement to access social events, and self-isolation support being key contributor to uptake. These findings provide insights into young adults’ attitudes towards testing and can inform testing programmes in other universities and settings with asymptomatic testing programmes.
Equilibrium states and growth of quasi-lattice ordered monoids
Publisher: American Mathematical Society (AMS)
Date: 03-2019
DOI: 10.1090/PROC/14108
Reconstruction of Twisted Steinberg Algebras
Publisher: Oxford University Press (OUP)
Date: 16-11-2021
DOI: 10.1093/IMRN/RNAB291
Abstract: We show how to recover a discrete twist over an le Hausdorff groupoid from a pair consisting of an algebra and what we call a quasi-Cartan subalgebra. We identify precisely which twists arise in this way (namely, those that satisfy the local bisection hypothesis), and we prove that the assignment of twisted Steinberg algebras to such twists and our construction of a twist from a quasi-Cartan pair are mutually inverse. We identify the algebraic pairs that correspond to effective groupoids and to principal groupoids. We also indicate the scope of our results by identifying large classes of twists for which the local bisection hypothesis holds automatically.
When does QP yield the exact solution to constrained NMPC?
Publisher: Informa UK Limited
Date: 08-04-2009
A compactly generated group whose hecke algebras admit no bounds on their representations
Publisher: Cambridge University Press (CUP)
Date: 05-2006
Triangle buildings and actions of type III1/q2
Publisher: Elsevier BV
Date: 09-1996
Zappa–Szép product groupoids and C∗ -blends
Publisher: Springer Science and Business Media LLC
Date: 05-02-2017
Affine Hecke algebras, cyclotomic Hecke algebras and Clifford theory
Publisher: Hindustan Book Agency
Date: 2003
Factors from trees
Publisher: American Mathematical Society (AMS)
Date: 1997
Hecke algebras of group extensions
Publisher: Informa UK Limited
Date: 10-2005
A graph-theoretic description of scale-multiplicative semigroups of automorphisms
Publisher: Springer Science and Business Media LLC
Date: 14-05-2020
Hecke algebras from groups acting on trees and HNN extensions
Publisher: Elsevier BV
Date: 06-2009
Zappa-Szép products of semigroups and their C*-algebras
Publisher: Elsevier BV
Date: 03-2014
Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions
Publisher: Elsevier BV
Date: 06-2014
Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs
Publisher: Elsevier BV
Date: 06-2018
Related Organisations
Durham University
Location: United Kingdom of Great Britain and Northern Ireland
University Of Warwick
Location: United Kingdom of Great Britain and Northern Ireland
Related Funding Activities
There And Back Again: Operator Algebras, Algebras And Dynamical Systems
Start Date: 2020
End Date: 2022
Funder: Australian Research Council
View Funded ActivityFrom Actions To Operator Algebras And Their Equilibrium States
Start Date: 2017
End Date: 2019
Funder: Australian Research Council
View Funded ActivityMathematics In Contemporary Science
Start Date: 2003
End Date: 2003
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP150100060
Start Date: 04-2015
End Date: 12-2019
Amount: $443,900.00
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP0984342
Start Date: 04-2009
End Date: 01-2015
Amount: $381,868.00
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP1096001
Start Date: 2010
End Date: 12-2014
Amount: $420,000.00
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP200100155
Start Date: 06-2020
End Date: 09-2023
Amount: $461,000.00
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP0556017
Start Date: 10-2005
End Date: 09-2008
Amount: $234,000.00
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP0208137
Start Date: 2002
End Date: 06-2005
Amount: $185,000.00
Funder: Australian Research Council
View Funded ActivitySpecial Research Initiatives - Grant ID: SR0354466
Start Date: 2004
End Date: 12-2004
Amount: $20,000.00
Funder: Australian Research Council
View Funded ActivityLinkage - International - Grant ID: LX0348081
Start Date: 2003
End Date: 06-2008
Amount: $36,200.00
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP130100490
Start Date: 2013
End Date: 12-2016
Amount: $390,000.00
Funder: Australian Research Council
View Funded ActivityDiscovery Projects - Grant ID: DP170101821
Start Date: 2017
End Date: 12-2019
Amount: $286,000.00
Funder: Australian Research Council
View Funded Activity