The University of Newcastle, Researcher report.

Researcher: Professor George Willis
School: School of Mathematical and Physical Sciences
Personal URL: http://www.newcastle.edu.au/staff/profile/george.willis.html

Funded Projects

Please note, only grants administered through the University of Newcastle Research Office are recorded here. For a more complete picture of the researcher's grant history a Personal URL may be supplied, above.

Research Team Initial Year Duration (Years) Funding Body/Client Award Type Title of Project Collaborating Partners Total Cash $ Total Inkind $
Professor George Willis;Doctor Murray Elder 2012 3 Australian Research Council Discovery Projects Theory and applications of symmetries of relational structures   325000  
Professor George Willis;Assoc. Prof Jacqui Ramagge 2009 5 Australian Research Council Discovery Projects Totally disconnected groups in algebra and geometry   381868  
Laureate Professor Jonathan Borwein;Professor Natashia Boland;Associate Professor Brailey Sims;Professor George Willis 2009 3 University of Newcastle Priority Research Centre Computer Assisted Research Mathematics and its Applications   170500  
Professor George Willis;Dr Jacqueline Ramagge 2008 1 University of Newcastle Near Miss Grant New Applications of Totally Disconnected Groups   20000  
Professor George Willis 2006 1 Australian Research Council Linkage International Fellowship Totally disconnected groups, representations and discrete mathematics.   60000  
Professor George Willis 2005 1 University of Newcastle Travel Grant International Conference in Mathematics and Applications, 15-17 December 2005   2070  
Professor George Willis;Dr Jacqueline Ramagge 2005 3 Australian Research Council Discovery Projects Geometric representation of small-rank totally disconnected groups   234000  
Professor George Willis 2003 3 Australian Research Council Linkage International Award Lie-type methods for totally disconnected groups.   28800  
Professor George Willis;Dr Jacqueline Ramagge 2002 3 Australian Research Council Discovery Projects Totally disconnected groups and their algebras   185000  
Professor George Willis 2002 1 University of Newcastle Visitor Grant Visit of Dr Niels Laustsen, from 11 May 2002 to 21 June 2002   2400  
Professor George Willis 2001 1 University of Newcastle Visitor Grant Prof Fereidoun Ghahramani, From 18 Feb to 21 April 2001   2055  
Professor George Willis 2001 1 University of Newcastle Travel Grant 1. International Conf on Banach Algebras & Cohomology, England, 25-28 June. 2. Random Walks & Geometry, Austria, June/July. 3. BALTICON 2001, Denmark, 5-18 Aug   2500  
Professor George Willis 2000 1 University of Newcastle Project Grant Analysis of radical algebras.   5000  
Professor George Willis 1997 1 University of Newcastle Travel Grant Random Walks and Discrete Potential Theory, Cortona, Italy, 22-28 June 1997   2146  
Professor George Willis 1997 3 Australian Research Council Large Grant Symmetry and a structure theory for totally disconnected, locally compact groups.   150000  

Research Higher Degree Supervision

For a more complete picture of the researcher's supervision history a Personal URL may be supplied at the top of this page.

Current Student Supervision

Program Supervision Level Research Topic
PhD (Mathematics) Principal Supervisor Computer Assisted Research Mathematics Applications
PhD (Mathematics) Co-Supervisor Harmonic and Clifford Analysis with Application to Digital Image Processing
PhD (Mathematics) Co-Supervisor Metric Fixed Point THeory and Related Banach Space Geometry
PhD (Mathematics) Principal Supervisor On Automorphism Groups of Trees

Total Equivalent Full-time Student Units (EFTSU):

Supervision Level EFTSU
PhD 1.500

Student Completions

NB - the completions shown here are only those for the University of Newcastle obtained since 2001.

Program Year Research Topic
PhD (Mathematics) 2005 A New Structure for Generalized Metric Spaces - with Applications to Fixed Point Theory
PhD (Mathematics) 2011 Connections Between Geometrical and Fixed Point Properties
PhD (Mathematics) 2011 The Categorical Properties of Higher Rank Graphs and Applications to their Graph Algebras

Research Publications

Please note, the publications listed here:
(1) relate to the researcher's position at the University of Newcastle only
(2) are for selected categories of publications, and
(3) relate to publication year 1998, onwards.
For a more complete picture of the researcher's publication history a Personal URL may be supplied at the top of this page.

Journal Article

Glockner Helge, Willis George Alver, ’Classification of the simple factors appearing in composition series of totally disconnected contraction groups’, Journal Fur Die Reine Und Angewandte Mathematik 141-169 (2010) [C1]

Ghahramani F, Read C J, Willis George Alver, ’Closed ideal structure and cohomological properties of certain radical Banach algebras’, Proceedings of the London Mathematical Society, 100 533-559 (2010) [C1]

Baumgartner Udo, Schlichting Gunter, Willis George Alver, ’Geometric characterization of flat groups of automorphisms’, Groups, Geometry, and Dynamics, 4 1-13 (2010) [C1]

Baumgartner Udo, Laca Marcelo, Ramagge Jacqui, Willis George Alver, ’Hecke algebras from groups acting on trees and HNN extensions’, Journal of Algebra, 321 3065-3088 (2009) [C1]

Willis George Alver, ’Compact open subgroups in simple totally disconnected groups’, Journal of Algebra, 312 405-417 (2007) [C1]

Baumgartner Udo, Remy B, Willis George Alver, ’Flat rank of automorphism groups of buildings’, Transformation Groups, 12 413-436 (2007) [C1]

Baumgartner Udo, Ramagge Jacqueline, Willis George Alver, ’A compactly generated group whose Hecke algebras admit no bounds on their representations’, Glasgow Mathematical Journal, 48 193-201 (2006) [C1]

Dani S G, Shah N A, Willis George Alver, ’Locally compact groups with dense orbits under Z(d)-actions by automorphisms’, Ergodic Theory and Dynamical Systems, 26 1443-1465 (2006) [C1]

Baumgartner Udo, Willis George Alver, ’The direction of an automorphism of a totally disconnected locally compact group’, Mathematische Zeitschrift, 252 393-428 (2006) [C1]

Willis George Alver, ’A noncommutative half-angle formula’, Bulletin of Australian Mathematical Society, 69 369-382 (2004) [C1]

Baumgartner Udo, Willis George Alver, ’Contraction groups and scales of automorphisms of totally disconnected locally compact groups’, Israel Journal of Mathematics, 142 221-248 (2004) [C1]

Alireza Abdollahi, Ali Rejali, Willis George Alver, ’Group Properties characterised by configurations’, Illinois Journal of Mathematics, 48 861-873 (2004) [C1]

Willis George Alver, ’Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of Matrices’, New York Journal of Mathematics, 10 1-35 (2004) [C1]

Glockner H, Willis George Alver, ’$p$-adic Lie groups’, Forum Math, 13 273-292 (2001) [C1]

Willis George Alver, ’Factorization in finite-codimensional ideals of group algebras’, Proc. London Math. Soc., 82 676-700 (2001) [C1]

Willis George Alver, ’Further properties of the scale function on a totally disconnected group’, Journal of Algebra, 237 142-164 (2001) [C1]

Kepert A, Willis George Alver, ’Scale functions and tree ends’, J. Australian Math. Soc., 70 273-292 (2001) [C1]

Willis George Alver, ’The number of prime factors of the scale function on a compactly generated group is finite’, Bulletin London Mathematical Society, 33 168-174 (2001) [C1]

Rosenblatt J M, Willis George Alver, ’Weak convergence is not strong convergence for amenable groups’, Canadian Math. Bull., 44 231-241 (2001) [C1]

Willis George Alver, Loy R J, Read C J, Runde V, ’Amenable and weakly amenable Banach algebras with compact multiplication’, Journal of Functional Analysis, 171 78-114 (2000) [C1]

Willis George Alver, ’An extension of a non-commutative Choquet-Deny Theorem’, Proceedings of the American Mathematical Society, 128 111-118 (2000) [C1]

Willis George Alver, Ghahramani F, Runde V, ’Derivations on Group Algebras’, Proceedings of the London Mathematical Society, 80 360-390 (2000) [C1]

Chapter in Book

Willis George Alver, ’Harmonic Analysis and amenability’, Introduction to Banach Algebras, Operators and Harmonic Analysis, CUP, Cambridge, 321 (2003) [B2]

Review

Willis George Alver, ’Banach algebras and the general theory of *-algebras: Vol II, *-algebras’, Bulletin of London Mathematical Society (2002) [D1]

Willis George Alver, ’The Honors Class: Hilbert's Problems and Their Solvers; Benjamin H. Yandell’, Australian Mathematical Society Gazette (2002) [D1]

Conference Publication

Glockner Helge, Willis George Alver, ’Directions of automorphisms of lie groups over local fields compared to the directions of lie algebra automorphisms’, Topology Proceedings, Castellon, Spain (2007) [E1]

Willis George Alver, ’A canonical form for automorphisms of totally disconnected locally compact groups’, Proceedings of a Workshop at the Erwin Schrodinger Institute, Vienna (2004) [E1]

Gloeckner H, Willis George Alver, ’Topologization of Hecke C*-algebras’, Proceedings of Spring Topology and Dynamics Conference, Auburn, Alabama, USA (2002) [E1]

Skills

Key Words

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