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Professor George Willis

Professor

School of Mathematical and Physical Sciences (Mathematics)

Career Summary

Biography

A continuing theme of George Willis's research since he received a PhD from the University of Newcastle upon Tyne in 1981 has been the interaction between algebra and topology. However, the focus of his research has shifted from analysis to algebra, and he has also moved from being primarily a problem solver to being a creator of new mathematics.

His early work was in functional analysis, which is an all-embracing framework for such fundamental techniques as Fourier and Laplace transforms and the spectral theory of linear operators. In a subject called `automatic continuity', he demonstrated that algebraic properties determine topological ones in many circumstances and he has also established the strongest known results that distinguish between approximate and exact factorization. Most notably, he showed in 1991 that the compact approximation property for Banach spaces does not imply the approximation property, thus answering a question that had been open for 20 years. This result sheds light on how well infinite-dimensional spaces may be approximated by finite-dimensional ones.

In his more recent work, since moving to Newcastle (Australia) in 1992, he has done much to create the modern structure theory of totally disconnected, locally compact groups by introducing the notions of scale, tidy subgroups and flatness. Some of this work has been surveyed in the book `Banach algebras and the general theory of *-algebras', Volume II, Cambridge University Press (2001) by T. W. Palmer, where it is called `Willis theory' and said to provide `a whole new level of insight'. It has also been described in Mathematical Reviews as offering `genuinely original insights' into a `notoriously intractable' subject. Links with ergodic theory, geometric group theory and with arithmetic groups are currently being explored, amongst others.

Research Expertise
Totally disconnected locally compact groups: A structure theory for these groups is being developed that is beginning to parallel the theory of Lie groups. Totally disconnected groups occur as symmetry groups of discrete structures and the theory has links with other areas of mathematics such as: number theory; harmonic analysis; graph theory; geometry of relational structure such as trees and buildings; CAT (0) and hyperbolic spaces; ergodic theory and dynamical systems; p-adic analysis; finite and profinite groups; and Lie and algebraic groups. The workshop Totally Disconnected Groups, Graphs and Geometry held in Blaubeuren, Germany, from May 7th-12th 2008, explored some of these links. The basics of the new structure theory are described at http://en.wikipedia.org/wiki/Totally_disconnected_group Beyond the spectrum: This research aims to develop methods for analyzing radical Banach algebras that would apply in realms beyond the reach of such widely applied spectral methods as: eigenvalues; the spectrum of linear operators; and the Fourier, Laplace and, more generally, Gel'fand transforms. Topological algebra: Other areas of topological algebra of interest include: approximate identities and factorization; random walks on groups; abstract harmonic analysis, cohomology of Banach algebras and amenability; operator algebras; and Banach space approximation properties


Qualifications

  • PhD, University of Newcastle upon Tyne - England
  • Bachelor of Science (Honours), University of Adelaide
  • Bachelor of Science, University of Adelaide

Keywords

  • Algebra
  • Functional analysis
  • Group theory

Fields of Research

CodeDescriptionPercentage
010105Group Theory and Generalisations100

Professional Experience

UON Appointment

DatesTitleOrganisation / Department
25/04/2014 - ProfessorUniversity of Newcastle
School of Mathematical and Physical Sciences
Australia

Academic appointment

DatesTitleOrganisation / Department
1/04/2009 - 1/01/2015Fellow - APF (ARC)University of Newcastle
School of Mathematical and Physical Sciences
Australia

Membership

DatesTitleOrganisation / Department
Associate Editor - Australian Mathematical SocietyAustralian mathematical society
Australia

Invitations

Participant

YearTitle / Rationale
2013Locally compact groups beyond Lie theory
Plenary speaker at a conference on `Locally comnpact groups beyond Lie theory' which follows on a conference that I organized in 2007. Interest in this subject has grown substantially following advances made in some of my papers in the 1990's. It is rapidly gaining momentum significant new progress is now being made.
2007Banach Algebras 2007
Organisation: Laval University, Quebec Description: Plenary speaker at the major international conference on Banach algebras held every two years.
2007London Mathematical Society Lecturer
Organisation: London Mathematical Society Description: Award of funds covering travel and accommodation to deliver at least three seminar talks at three UK institutions.
2006`Lie Groups, Representations and Discrete Mathematics' Workshop
Organisation: Princeton Insitute for Advanced Study Description: Two invitations to speak in research seminar at the Institute for Advanced Study, Princeton, New Jersey. The only person to speak twice in this seminar on 2006.
2003British Mathematical Colloquium
Organisation: London Mathematical Society Description: Invited speaker at the annual meeting for British mathematics.

PhD Examiner

YearTitle / Rationale
2007Topological transitivity of group actions
Organisation: La Trobe University
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Publications

For publications that are currently unpublished or in-press, details are shown in italics.


Chapter (1 outputs)

YearCitationAltmetricsLink
2003Willis GA, 'Harmonic Analysis and amenability', Introduction to Banach Algebras, Operators and Harmonic Analysis, CUP, Cambridge 321 (2003) [B2]

Journal article (52 outputs)

YearCitationAltmetricsLink
2015Willis GA, 'The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups', MATHEMATISCHE ANNALEN, 361 403-442 (2015)
DOI10.1007/s00208-014-1074-yAuthor URL
2015Banks C, Elder M, Willis GA, 'Simple groups of automorphisms of trees determined by their actions on finite subtrees', JOURNAL OF GROUP THEORY, 18 235-261 (2015)
DOI10.1515/jgth-2014-0041Author URL
Co-authorsMurray Elder
2014Hofmann KH, Willis GA, 'Continuity characterizing totally disconnected locally compact groups', Journal of Lie Theory, 25 1-7 (2014) [C1]

For a locally compact group G and its compact space SUB(G) of closed subgroups let ¿G : G ! SUB(G) denote the function which attaches to an element g of G the closed subgroup hgi generated by it. It is shown that G is totally disconnected if and only if G is continuous. Several other functions which associate with an element of G in a natural way a closed subgroup of G are discussed with respect to their continuity in totally disconnected locally compact groups.

2014Caprace P-E, Reid CD, Willis GA, 'Limits of contraction groups and the tits core', Journal of Lie Theory, 24 957-967 (2014) [C1]
CitationsScopus - 1
Co-authorsColin D Reid
2014Willis GA, 'The nub of an automorphism of a totally disconnected, locally compact group', Ergodic Theory and Dynamical Systems, 34 1365-1394 (2014) [C1]
DOI10.1017/etds.2012.172
CitationsWeb of Science - 1
2013Shalom Y, Willis GA, 'Commensurated Subgroups of Arithmetic Groups, Totally Disconnected Groups and Adelic Rigidity', GEOMETRIC AND FUNCTIONAL ANALYSIS, 23 1631-1683 (2013) [C1]
DOI10.1007/s00039-013-0236-5Author URL
CitationsScopus - 1Web of Science - 2
2013Caprace P-E, Reid CD, Willis GA, 'Locally normal subgroups of simple locally compact groups', Comptes Rendus Mathematique, 351 657-661 (2013) [C1]
DOI10.1016/j.crma.2013.09.010
CitationsScopus - 1Web of Science - 1
Co-authorsColin D Reid
2012Baumgartner U, Moller RG, Willis GA, 'Hyperbolic groups have flat-rank at most 1', Israel Journal of Mathematics, 190 365-388 (2012) [C1]
CitationsScopus - 1Web of Science - 2
2012Willis GA, 'Probability measures on semigroups: Convolution products, random walks and random matrices [Book Review]', SIAM Review, 54 414-416 (2012) [C3]
2010Baumgartner U, Schlichting G, Willis GA, 'Geometric characterization of flat groups of automorphisms', Groups, Geometry, and Dynamics, 4 1-13 (2010) [C1]
DOI10.4172/GGD/72
CitationsScopus - 1Web of Science - 1
2010Ghahramani F, Read CJ, Willis GA, 'Closed ideal structure and cohomological properties of certain radical Banach algebras', Proceedings of the London Mathematical Society, 100 533-559 (2010) [C1]
DOI10.1112/plms/pdp038
2010Glockner H, Willis GA, '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]
DOI10.1515/CRELLE.2010.047
CitationsScopus - 4Web of Science - 4
2009Baumgartner U, Laca M, Ramagge J, Willis GA, 'Hecke algebras from groups acting on trees and HNN extensions', Journal of Algebra, 321 3065-3088 (2009) [C1]
DOI10.1016/j.jalgebra.2008.12.008
CitationsScopus - 2Web of Science - 2
2007Baumgartner U, Remy B, Willis GA, 'Flat rank of automorphism groups of buildings', Transformation Groups, 12 413-436 (2007) [C1]
DOI10.1007/s00031-006-0050-3
CitationsScopus - 7Web of Science - 9
2007Willis GA, 'Compact open subgroups in simple totally disconnected groups', Journal of Algebra, 312 405-417 (2007) [C1]
DOI10.1016/j.jalgebra.2006.06.049
CitationsScopus - 7Web of Science - 9
2006Dani SG, Shah NA, Willis GA, 'Locally compact groups with dense orbits under Z(d)-actions by automorphisms', Ergodic Theory and Dynamical Systems, 26 1443-1465 (2006) [C1]
DOI10.1017/S0143385706000307
CitationsScopus - 2Web of Science - 3
2006Baumgartner U, Willis GA, 'The direction of an automorphism of a totally disconnected locally compact group', Mathematische Zeitschrift, 252 393-428 (2006) [C1]
DOI10.1007/s00209-005-0861-2
CitationsScopus - 7Web of Science - 8
2006Baumgartner U, Ramagge J, Willis GA, 'A compactly generated group whose Hecke algebras admit no bounds on their representations', Glasgow Mathematical Journal, 48 193-201 (2006) [C1]
DOI10.1017/S0017089506002990
CitationsScopus - 2Web of Science - 2
2004Willis GA, 'A noncommutative half-angle formula', Bulletin of Australian Mathematical Society, 69 369-382 (2004) [C1]
DOI10.1017/S0004972700036157
2004Abdollahi A, Rejali A, Willis GA, 'Group Properties characterised by configurations', Illinois Journal of Mathematics, 48 861-873 (2004) [C1]
CitationsScopus - 5Web of Science - 6
2004Baumgartner U, Willis GA, 'Contraction groups and scales of automorphisms of totally disconnected locally compact groups', Israel Journal of Mathematics, 142 221-248 (2004) [C1]
DOI10.1007/BF02771534
CitationsScopus - 23Web of Science - 25
2004Willis GA, '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]
CitationsScopus - 12
2001Rosenblatt JM, Willis GA, 'Weak convergence is not strong convergence for amenable groups', Canadian Math. Bull., 44 231-241 (2001) [C1]
CitationsScopus - 7Web of Science - 7
2001Willis GA, 'Further properties of the scale function on a totally disconnected group', Journal of Algebra, 237 142-164 (2001) [C1]
CitationsScopus - 24Web of Science - 28
2001Willis GA, '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]
CitationsScopus - 3Web of Science - 4
2001Willis GA, 'Factorization in finite-codimensional ideals of group algebras', Proc. London Math. Soc., 82 676-700 (2001) [C1]
CitationsScopus - 7Web of Science - 6
2001Kepert AG, Willis G, 'Scale Functions and Tree Ends', Journal of Australian Mathematics Society, 70 273-292 (2001) [C1]
CitationsScopus - 6Web of Science - 5
Co-authorsAndrew Kepert
2001Glockner H, Willis GA, 'Uniscalar p-adic Lie groups', FORUM MATHEMATICUM, 13 413-421 (2001)
DOI10.1515/form.2001.015Author URL
CitationsScopus - 10Web of Science - 11
2001Glockner H, Willis GA, 'Uniscalar p-adic Lie groups', Forum Math, 13 273-292 (2001) [C1]
DOI10.1515/form.2001.015
2000Willis GA, Loy RJ, Read CJ, Runde V, 'Amenable and weakly amenable Banach algebras with compact multiplication', Journal of Functional Analysis, 171 78-114 (2000) [C1]
CitationsScopus - 12Web of Science - 12
2000Willis GA, Ghahramani F, Runde V, 'Derivations on Group Algebras', Proceedings of the London Mathematical Society, 80 360-390 (2000) [C1]
CitationsScopus - 8Web of Science - 8
2000Willis GA, 'An extension of a non-commutative Choquet-Deny Theorem', Proceedings of the American Mathematical Society, 128 111-118 (2000) [C1]
CitationsScopus - 2Web of Science - 2
1997Willis G, 'Totally disconnected, nilpotent, locally compact groups', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 55 143-146 (1997)
Author URL
CitationsScopus - 4Web of Science - 5
1997Gronbaek N, Willis GA, 'Embedding nilpotent finite dimensional Banach algebras into amenable Banach algebras', JOURNAL OF FUNCTIONAL ANALYSIS, 145 99-107 (1997)
DOI10.1006/jfan.1996.3025Author URL
CitationsWeb of Science - 2
1997Ross KA, Willis G, 'Riemann sums and modular functions on locally compact groups', PACIFIC JOURNAL OF MATHEMATICS, 180 325-331 (1997)
Author URL
CitationsScopus - 3Web of Science - 4
1996Ghahramani F, Loy RJ, Willis GA, 'Amenability and weak amenability of second conjugate Banach algebras', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 124 1489-1497 (1996)
DOI10.1090/S0002-9939-96-03177-2Author URL
CitationsScopus - 34Web of Science - 36
1996Jaworski W, Rosenblatt J, Willis G, 'Concentration functions in locally compact groups', MATHEMATISCHE ANNALEN, 305 673-691 (1996)
DOI10.1007/BF01444244Author URL
CitationsScopus - 25Web of Science - 27
1996Lau ATM, Loy RJ, Willis GA, 'Amenability of Banach and C-*-algebras on locally compact groups', STUDIA MATHEMATICA, 119 161-178 (1996)
Author URL
CitationsScopus - 30Web of Science - 33
1995WILLIS G, 'TOTALLY DISCONNECTED GROUPS AND PROOFS OF CONJECTURES OF HOFMANN AND MUKHERJEA', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 51 489-494 (1995)
Author URL
CitationsWeb of Science - 14
1995WILLIS GA, 'COMPRESSIBLE OPERATORS AND THE CONTINUITY OF HOMOMORPHISMS FROM ALGEBRAS OF OPERATORS', STUDIA MATHEMATICA, 115 251-259 (1995)
Author URL
CitationsWeb of Science - 4
1994LOY RJ, WILLIS GA, 'THE APPROXIMATION PROPERTY AND NILPOTENT IDEALS IN AMENABLE BANACH-ALGEBRAS', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 49 341-346 (1994)
Author URL
CitationsWeb of Science - 6
1994Gronbaek N, Johnson BE, Willis GA, 'AMENABILITY OF BANACH ALGEBRAS OF COMPACT OPERATORS', ISRAEL JOURNAL OF MATHEMATICS, 87 289-324 (1994)
DOI10.1007/BF02773000Author URL
CitationsScopus - 28Web of Science - 32
1994DALES HG, LOY RJ, WILLIS GA, 'HOMOMORPHISMS AND DERIVATIONS FROM B(E)', JOURNAL OF FUNCTIONAL ANALYSIS, 120 201-219 (1994)
DOI10.1006/jfan.1994.1030Author URL
CitationsScopus - 9Web of Science - 10
1994WILLIS G, 'THE STRUCTURE OF TOTALLY DISCONNECTED, LOCALLY COMPACT-GROUPS', MATHEMATISCHE ANNALEN, 300 341-363 (1994)
DOI10.1007/BF01450491Author URL
CitationsScopus - 55Web of Science - 59
1992Willis GA, 'The compact approximation property does not imply the approximation property', Studia Mathematica, 99-108 (1992)
1991MORAN W, WILLIS GA, 'BOUNDARIES AND MODULAR IDEALS ON LOCALLY COMPACT-GROUPS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 112 819-827 (1991)
DOI10.2307/2048706Author URL
CitationsWeb of Science - 2
1990WILLIS GA, 'PROBABILITY-MEASURES ON GROUPS AND SOME RELATED IDEALS IN GROUP-ALGEBRAS', JOURNAL OF FUNCTIONAL ANALYSIS, 92 202-263 (1990)
DOI10.1016/0022-1236(90)90075-VAuthor URL
CitationsScopus - 17Web of Science - 19
1989LOY RJ, WILLIS GA, 'CONTINUITY OF DERIVATIONS ON B(E) FOR CERTAIN BANACH SPACES-E', JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 40 327-346 (1989)
Author URL
CitationsWeb of Science - 15
1988WILLIS GA, 'CONTINUITY OF TRANSLATION INVARIANT LINEAR FUNCTIONALS ON C0(G) FOR CERTAIN LOCALLY COMPACT GROUPS-G', MONATSHEFTE FUR MATHEMATIK, 105 161-164 (1988)
DOI10.1007/BF01501168Author URL
CitationsScopus - 10Web of Science - 16
1986WILLIS GA, 'THE CONTINUITY OF DERIVATIONS AND MODULE HOMOMORPHISMS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 40 299-320 (1986)
Author URL
CitationsWeb of Science - 13
1986WILLIS GA, 'TRANSLATION INVARIANT FUNCTIONALS ON LP(G) WHEN G IS NOT AMENABLE', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 41 237-250 (1986)
Author URL
CitationsWeb of Science - 10
1982Willis GA, 'Approximate Units in Finite Codimensional Ideals of Group Algebras', Journal of the London Mathematical Society, s2-26 143-154 (1982)
DOI10.1112/jlms/s2-26.1.143
Show 49 more journal articles

Review (2 outputs)

YearCitationAltmetricsLink
2002Willis GA, 'The Honors Class: Hilbert's Problems and Their Solvers; Benjamin H. Yandell', Australian Mathematical Society Gazette (2002) [D1]
2002Willis GA, 'Banach algebras and the general theory of *-algebras: Vol II, *-algebras', Bulletin of London Mathematical Society (2002) [D1]

Conference (3 outputs)

YearCitationAltmetricsLink
2007Glockner H, Willis GA, 'Directions of automorphisms of lie groups over local fields compared to the directions of lie algebra automorphisms', Topology Proceedings, Castellon, Spain (2007) [E1]
2004Willis GA, 'A canonical form for automorphisms of totally disconnected locally compact groups', Proceedings of a Workshop at the Erwin Schrodinger Institute, Vienna (2004) [E1]
CitationsWeb of Science - 4
2002Gloeckner H, Willis GA, 'Topologization of Hecke C*-algebras', Proceedings of Spring Topology and Dynamics Conference, Auburn, Alabama, USA (2002) [E1]
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Grants and Funding

Summary

Number of grants17
Total funding$2,185,887

Click on a grant title below to expand the full details for that specific grant.


20151 grants / $443,900

Scale-Multiplicative Semigroups and Geometry$443,900

Funding body: ARC (Australian Research Council)

Funding bodyARC (Australian Research Council)
Project TeamProfessor George Willis, Professor Jacqui Ramagge
SchemeDiscovery Projects
RoleLead
Funding Start2015
Funding Finish2015
GNoG1400383
Type Of FundingAust Competitive - Commonwealth
Category1CS
UONY

20121 grants / $325,000

Theory and applications of symmetries of relational structures$325,000

Funding body: ARC (Australian Research Council)

Funding bodyARC (Australian Research Council)
Project TeamProfessor George Willis, Doctor Murray Elder
SchemeDiscovery Projects
RoleLead
Funding Start2012
Funding Finish2012
GNoG1100080
Type Of FundingAust Competitive - Commonwealth
Category1CS
UONY

20092 grants / $649,229

Totally disconnected groups in algebra and geometry$381,868

Funding body: ARC (Australian Research Council)

Funding bodyARC (Australian Research Council)
Project TeamProfessor George Willis, Professor Jacqui Ramagge
SchemeDiscovery Projects
RoleLead
Funding Start2009
Funding Finish2009
GNoG0188711
Type Of FundingAust Competitive - Commonwealth
Category1CS
UONY

Computer Assisted Research Mathematics and its Applications$267,361

Funding body: University of Newcastle

Funding bodyUniversity of Newcastle
Project TeamLaureate Professor Jon Borwein, Conjoint Professor Natashia Boland, Associate Professor Brailey Sims, Professor George Willis
SchemePriority Research Centre
RoleInvestigator
Funding Start2009
Funding Finish2009
GNoG0189866
Type Of FundingInternal
CategoryINTE
UONY

20081 grants / $20,000

New Applications of Totally Disconnected Groups$20,000

Funding body: University of Newcastle

Funding bodyUniversity of Newcastle
Project TeamProfessor George Willis, Dr Jacqueline Ramagge
SchemeNear Miss Grant
RoleLead
Funding Start2008
Funding Finish2008
GNoG0188399
Type Of FundingInternal
CategoryINTE
UONY

20071 grants / $73,787

Totally disconnected groups, graphs and geometry$73,787

Funding body: VolkswagenStiftung

Funding bodyVolkswagenStiftung
Project Team
SchemeConference Funding
RoleLead
Funding Start2007
Funding Finish2007
GNo
Type Of FundingInternational - Non Competitive
Category3IFB
UONY

20061 grants / $60,000

Totally disconnected groups, representations and discrete mathematics.$60,000

Funding body: ARC (Australian Research Council)

Funding bodyARC (Australian Research Council)
Project TeamProfessor George Willis
SchemeLinkage International Fellowship
RoleLead
Funding Start2006
Funding Finish2006
GNoG0185350
Type Of FundingAust Competitive - Commonwealth
Category1CS
UONY

20052 grants / $236,070

Geometric representation of small-rank totally disconnected groups$234,000

Funding body: ARC (Australian Research Council)

Funding bodyARC (Australian Research Council)
Project TeamProfessor George Willis, Dr Jacqueline Ramagge
SchemeDiscovery Projects
RoleLead
Funding Start2005
Funding Finish2005
GNoG0184324
Type Of FundingAust Competitive - Commonwealth
Category1CS
UONY

International Conference in Mathematics and Applications, 15-17 December 2005$2,070

Funding body: University of Newcastle

Funding bodyUniversity of Newcastle
Project TeamProfessor George Willis
SchemeTravel Grant
RoleLead
Funding Start2005
Funding Finish2005
GNoG0185950
Type Of FundingInternal
CategoryINTE
UONY

20031 grants / $28,800

Lie-type methods for totally disconnected groups.$28,800

Funding body: ARC (Australian Research Council)

Funding bodyARC (Australian Research Council)
Project TeamProfessor George Willis
SchemeLinkage International Award
RoleLead
Funding Start2003
Funding Finish2003
GNoG0182680
Type Of FundingAust Competitive - Commonwealth
Category1CS
UONY

20022 grants / $187,400

Totally disconnected groups and their algebras$185,000

Funding body: ARC (Australian Research Council)

Funding bodyARC (Australian Research Council)
Project TeamProfessor George Willis, Dr Jacqueline Ramagge
SchemeDiscovery Projects
RoleLead
Funding Start2002
Funding Finish2002
GNoG0181137
Type Of FundingAust Competitive - Commonwealth
Category1CS
UONY

Visit of Dr Niels Laustsen, from 11 May 2002 to 21 June 2002$2,400

Funding body: University of Newcastle

Funding bodyUniversity of Newcastle
Project TeamProfessor George Willis
SchemeVisitor Grant
RoleLead
Funding Start2002
Funding Finish2002
GNoG0181911
Type Of FundingInternal
CategoryINTE
UONY

20012 grants / $4,555

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$2,500

Funding body: University of Newcastle

Funding bodyUniversity of Newcastle
Project TeamProfessor George Willis
SchemeTravel Grant
RoleLead
Funding Start2001
Funding Finish2001
GNoG0180986
Type Of FundingInternal
CategoryINTE
UONY

Prof Fereidoun Ghahramani, From 18 Feb to 21 April 2001$2,055

Funding body: University of Newcastle

Funding bodyUniversity of Newcastle
Project TeamProfessor George Willis
SchemeVisitor Grant
RoleLead
Funding Start2001
Funding Finish2001
GNoG0180587
Type Of FundingInternal
CategoryINTE
UONY

20001 grants / $5,000

Analysis of radical algebras.$5,000

Funding body: University of Newcastle

Funding bodyUniversity of Newcastle
Project TeamProfessor George Willis
SchemeProject Grant
RoleLead
Funding Start2000
Funding Finish2000
GNoG0178919
Type Of FundingInternal
CategoryINTE
UONY

19972 grants / $152,146

Symmetry and a structure theory for totally disconnected, locally compact groups.$150,000

Funding body: ARC (Australian Research Council)

Funding bodyARC (Australian Research Council)
Project TeamProfessor George Willis
SchemeLarge Grant
RoleLead
Funding Start1997
Funding Finish1997
GNoG0176189
Type Of FundingAust Competitive - Commonwealth
Category1CS
UONY

Random Walks and Discrete Potential Theory, Cortona, Italy, 22-28 June 1997$2,146

Funding body: University of Newcastle

Funding bodyUniversity of Newcastle
Project TeamProfessor George Willis
SchemeTravel Grant
RoleLead
Funding Start1997
Funding Finish1997
GNoG0179608
Type Of FundingInternal
CategoryINTE
UONY
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Research Supervision

Current Supervision

CommencedResearch Title / Program / Supervisor Type
2014Topological Algebra
Mathematics, Faculty of Science and Information Technology
Principal Supervisor
2014Poisson Boundaries and Random Walks on Totally Disconnected Groups
Mathematics, Faculty of Science and Information Technology
Principal Supervisor
2013Automorphisms of Totally Disconnected, Locally Compact Groups and the Continuity of the Scale
Mathematics, Faculty of Science and Information Technology
Principal Supervisor
2011Structure of Discrete and Non-discrete Locally Primitive Groups Acting on Trees
Mathematics, Faculty of Science and Information Technology
Principal Supervisor

Past Supervision

YearResearch Title / Program / Supervisor Type
2015Tree Actions Associated with the Scale of an Automorphism of a Totally Disconnected Locally Compact Group
Mathematics, Faculty of Science and Information Technology
Principal Supervisor
2014Fourier and Wavelet Analysis of Clifford-Valued Functions
Mathematics, Faculty of Science and Information Technology
Co-Supervisor
2014Nonlinear Analysis in Geodesic Spaces
Mathematics, Faculty of Science and Information Technology
Co-Supervisor
2011Connections Between Geometrical and Fixed Point Properties
Mathematics, Faculty of Science and Information Technology
Co-Supervisor
2011The Categorical Properties of Higher Rank Graphs and Applications to their Graph Algebras
Mathematics, Faculty of Science and Information Technology
Principal Supervisor
2005A New Structure for Generalized Metric Spaces - with Applications to Fixed Point Theory
Mathematics, Faculty of Science and Information Technology
Co-Supervisor
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News

Australian Research Council (ARC)

ARC Discovery Project funding success

November 21, 2014

Professor George Willis has been awarded more than $443,000 in ARC Discovery Project funding commencing in 2015 for his research project Scale-Multiplicative Semigroups and Geometry.

Professor George Willis

Academy honours top UON mathematician

March 26, 2014

The Australian Academy of Science has today elected University of Newcastle mathematician Professor George Willis as a Fellow, the most senior honour a scientist can receive in Australia.

Professor George Willis

Position

Professor
School of Mathematical and Physical Sciences
Faculty of Science and Information Technology

Focus area

Mathematics

Contact Details

Emailgeorge.willis@newcastle.edu.au
Phone(02) 4921 5666
Fax(02) 4921 6898

Office

RoomV131
BuildingMathematics
LocationCallaghan
University Drive
Callaghan, NSW 2308
Australia
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