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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

Code Description Percentage
010105 Group Theory and Generalisations 100

Professional Experience

UON Appointment

Title Organisation / Department
Professor University of Newcastle
School of Mathematical and Physical Sciences
Australia

Academic appointment

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

Membership

Dates Title Organisation / Department
Associate Editor - Australian Mathematical Society Australian mathematical society
Australia

Invitations

Participant

Year Title / Rationale
2013 Locally 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.
2007 Banach Algebras 2007
Organisation: Laval University, Quebec Description: Plenary speaker at the major international conference on Banach algebras held every two years.
2007 London 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.
2003 British Mathematical Colloquium
Organisation: London Mathematical Society Description: Invited speaker at the annual meeting for British mathematics.

PhD Examiner

Year Title / Rationale
2007 Topological transitivity of group actions
Organisation: La Trobe University
Edit

Publications

For publications that are currently unpublished or in-press, details are shown in italics.


Chapter (1 outputs)

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

Journal article (59 outputs)

Year Citation Altmetrics Link
2015 Willis GA, 'The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups', MATHEMATISCHE ANNALEN, 361 403-442 (2015) [C1]
DOI 10.1007/s00208-014-1074-y
Citations Web of Science - 1
2015 Banks 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) [C1]
DOI 10.1515/jgth-2014-0041
Citations Scopus - 1Web of Science - 1
Co-authors Murray Elder
2015 Hofmann KH, Willis GA, 'Continuity Characterizing Totally Disconnected Locally Compact Groups', JOURNAL OF LIE THEORY, 25 1-7 (2015) [C1]
Citations Scopus - 1Web of Science - 1
2014 Caprace P-E, Reid CD, Willis GA, 'Limits of contraction groups and the tits core', Journal of Lie Theory, 24 957-967 (2014) [C1]
Citations Scopus - 2Web of Science - 2
Co-authors Colin D Reid
2014 Willis GA, 'The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups', Mathematische Annalen, 361 403-442 (2014)

© 2014, Springer-Verlag Berlin Heidelberg.The scale of an endomorphism, (Formula presented.), of a totally disconnected, locally compact group G is the minimum index (Formula pre... [more]

© 2014, Springer-Verlag Berlin Heidelberg.The scale of an endomorphism, (Formula presented.), of a totally disconnected, locally compact group G is the minimum index (Formula presented.), for U a compact, open subgroup of G. A structural characterization of subgroups at which the minimum is attained is established. This characterization extends the notion of subgroup tidy for a from the previously understood case when a is an automorphism to the case when a is merely an endomorphism.

DOI 10.1007/s00208-014-1074-y
Citations Scopus - 1
2014 Willis GA, 'The nub of an automorphism of a totally disconnected, locally compact group', Ergodic Theory and Dynamical Systems, 34 1365-1394 (2014) [C1]
DOI 10.1017/etds.2012.172
Citations Scopus - 1Web of Science - 2
2013 Shalom Y, Willis GA, 'Commensurated Subgroups of Arithmetic Groups, Totally Disconnected Groups and Adelic Rigidity', GEOMETRIC AND FUNCTIONAL ANALYSIS, 23 1631-1683 (2013) [C1]
DOI 10.1007/s00039-013-0236-5
Citations Scopus - 3Web of Science - 3
2013 Caprace P-E, Reid CD, Willis GA, 'Locally normal subgroups of simple locally compact groups', Comptes Rendus Mathematique, 351 657-661 (2013) [C1]
DOI 10.1016/j.crma.2013.09.010
Citations Scopus - 2Web of Science - 2
Co-authors Colin D Reid
2012 Baumgartner U, Moller RG, Willis GA, 'Hyperbolic groups have flat-rank at most 1', Israel Journal of Mathematics, 190 365-388 (2012) [C1]
Citations Scopus - 2Web of Science - 2
2012 Willis GA, 'Probability measures on semigroups: Convolution products, random walks and random matrices [Book Review]', SIAM Review, 54 414-416 (2012) [C3]
2010 Baumgartner U, Schlichting G, Willis GA, 'Geometric characterization of flat groups of automorphisms', Groups, Geometry, and Dynamics, 4 1-13 (2010) [C1]
DOI 10.4172/GGD/72
Citations Scopus - 1Web of Science - 1
2010 Ghahramani 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]
DOI 10.1112/plms/pdp038
2010 Glockner 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]
DOI 10.1515/CRELLE.2010.047
Citations Scopus - 4Web of Science - 4
2009 Baumgartner 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]
DOI 10.1016/j.jalgebra.2008.12.008
Citations Scopus - 2Web of Science - 2
2007 Baumgartner U, Remy B, Willis GA, 'Flat rank of automorphism groups of buildings', Transformation Groups, 12 413-436 (2007) [C1]
DOI 10.1007/s00031-006-0050-3
Citations Scopus - 9Web of Science - 10
2007 Willis GA, 'Compact open subgroups in simple totally disconnected groups', Journal of Algebra, 312 405-417 (2007) [C1]
DOI 10.1016/j.jalgebra.2006.06.049
Citations Scopus - 11Web of Science - 12
2006 Dani 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]
DOI 10.1017/S0143385706000307
Citations Scopus - 3Web of Science - 3
2006 Baumgartner U, Willis GA, 'The direction of an automorphism of a totally disconnected locally compact group', Mathematische Zeitschrift, 252 393-428 (2006) [C1]
DOI 10.1007/s00209-005-0861-2
Citations Scopus - 9Web of Science - 9
2006 Baumgartner 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]
DOI 10.1017/S0017089506002990
Citations Scopus - 2Web of Science - 2
2004 Willis GA, 'A noncommutative half-angle formula', Bulletin of Australian Mathematical Society, 69 369-382 (2004) [C1]
DOI 10.1017/S0004972700036157
2004 Abdollahi A, Rejali A, Willis GA, 'Group Properties characterised by configurations', Illinois Journal of Mathematics, 48 861-873 (2004) [C1]
Citations Scopus - 6Web of Science - 7
2004 Baumgartner U, Willis GA, 'Contraction groups and scales of automorphisms of totally disconnected locally compact groups', Israel Journal of Mathematics, 142 221-248 (2004) [C1]
DOI 10.1007/BF02771534
Citations Scopus - 26Web of Science - 29
2004 Willis 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]
Citations Scopus - 16
2001 Rosenblatt JM, Willis GA, 'Weak convergence is not strong convergence for amenable groups', Canadian Math. Bull., 44 231-241 (2001) [C1]
Citations Scopus - 8Web of Science - 8
2001 Willis GA, 'Further properties of the scale function on a totally disconnected group', Journal of Algebra, 237 142-164 (2001) [C1]
Citations Scopus - 27Web of Science - 30
2001 Willis 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]
Citations Scopus - 3Web of Science - 4
2001 Willis GA, 'Factorization in finite-codimensional ideals of group algebras', Proc. London Math. Soc., 82 676-700 (2001) [C1]
Citations Scopus - 7Web of Science - 6
2001 Kepert AG, Willis G, 'Scale Functions and Tree Ends', Journal of Australian Mathematics Society, 70 273-292 (2001) [C1]
Citations Scopus - 7Web of Science - 6
Co-authors Andrew Kepert
2001 Glockner H, Willis GA, 'Uniscalar p-adic Lie groups', FORUM MATHEMATICUM, 13 413-421 (2001)
DOI 10.1515/form.2001.015
Citations Scopus - 11Web of Science - 12
2001 Glockner H, Willis GA, 'Uniscalar p-adic Lie groups', Forum Math, 13 273-292 (2001) [C1]
DOI 10.1515/form.2001.015
2000 Willis 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]
Citations Scopus - 13Web of Science - 12
2000 Willis GA, Ghahramani F, Runde V, 'Derivations on Group Algebras', Proceedings of the London Mathematical Society, 80 360-390 (2000) [C1]
Citations Scopus - 8Web of Science - 8
2000 Willis GA, 'An extension of a non-commutative Choquet-Deny Theorem', Proceedings of the American Mathematical Society, 128 111-118 (2000) [C1]
Citations Scopus - 2Web of Science - 2
1997 Willis G, 'Totally disconnected, nilpotent, locally compact groups', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 55 143-146 (1997)
Citations Scopus - 5Web of Science - 6
1997 Gronbaek N, Willis GA, 'Embedding nilpotent finite dimensional Banach algebras into amenable Banach algebras', JOURNAL OF FUNCTIONAL ANALYSIS, 145 99-107 (1997)
DOI 10.1006/jfan.1996.3025
Citations Web of Science - 2
1997 Ross KA, Willis G, 'Riemann sums and modular functions on locally compact groups', PACIFIC JOURNAL OF MATHEMATICS, 180 325-331 (1997)
Citations Scopus - 4Web of Science - 5
1996 Ghahramani F, Loy RJ, Willis GA, 'Amenability and weak amenability of second conjugate Banach algebras', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 124 1489-1497 (1996)
DOI 10.1090/S0002-9939-96-03177-2
Citations Scopus - 44Web of Science - 43
1996 Jaworski W, Rosenblatt J, Willis G, 'Concentration functions in locally compact groups', MATHEMATISCHE ANNALEN, 305 673-691 (1996)
DOI 10.1007/BF01444244
Citations Scopus - 27Web of Science - 28
1996 Lau ATM, Loy RJ, Willis GA, 'Amenability of Banach and C-*-algebras on locally compact groups', STUDIA MATHEMATICA, 119 161-178 (1996)
Citations Scopus - 31Web of Science - 34
1995 WILLIS G, 'TOTALLY DISCONNECTED GROUPS AND PROOFS OF CONJECTURES OF HOFMANN AND MUKHERJEA', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 51 489-494 (1995)
Citations Web of Science - 16
1995 WILLIS GA, 'COMPRESSIBLE OPERATORS AND THE CONTINUITY OF HOMOMORPHISMS FROM ALGEBRAS OF OPERATORS', STUDIA MATHEMATICA, 115 251-259 (1995)
Citations Web of Science - 4
1994 Sitaram A, Willis GA, 'Lp-Functions Satisfying the Mean Value Property on Homogeneous Spaces', Journal of the Australian Mathematical Society, 56 384-390 (1994)

It is proved That on certain kINDs of homogeneous Spaces, The only Lpfunction, 1 < p < oo, satisfying the mean value property is the zero function. 1991 Mathematics subject classi... [more]

It is proved That on certain kINDs of homogeneous Spaces, The only Lpfunction, 1 < p < oo, satisfying the mean value property is the zero function. 1991 Mathematics subject classification (Amer: Math. Soc.): 22 E 99,43 A 85. © 1994, Australian Mathematical Society. All rights reserved.

DOI 10.1017/S1446788700035552
Citations Scopus - 2
1994 LOY RJ, WILLIS GA, 'THE APPROXIMATION PROPERTY AND NILPOTENT IDEALS IN AMENABLE BANACH-ALGEBRAS', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 49 341-346 (1994)
Citations Web of Science - 6
1994 Gronbaek N, Johnson BE, Willis GA, 'AMENABILITY OF BANACH ALGEBRAS OF COMPACT OPERATORS', ISRAEL JOURNAL OF MATHEMATICS, 87 289-324 (1994)
DOI 10.1007/BF02773000
Citations Scopus - 29Web of Science - 32
1994 DALES HG, LOY RJ, WILLIS GA, 'HOMOMORPHISMS AND DERIVATIONS FROM B(E)', JOURNAL OF FUNCTIONAL ANALYSIS, 120 201-219 (1994)
DOI 10.1006/jfan.1994.1030
Citations Scopus - 11Web of Science - 11
1994 WILLIS G, 'THE STRUCTURE OF TOTALLY DISCONNECTED, LOCALLY COMPACT-GROUPS', MATHEMATISCHE ANNALEN, 300 341-363 (1994)
DOI 10.1007/BF01450491
Citations Scopus - 60Web of Science - 64
1992 Willis G, 'The Continuity Of Derivations From Group Algebras: Factorizable And Connected Groups', Journal of the Australian Mathematical Society, 52 185-204 (1992)

A group is said to be factorizable if it has a finite number of abelian subgroups, H1H2Hnsuch that G = H1H2HnIt is shown that, if G is a factorizable or connected locally compact ... [more]

A group is said to be factorizable if it has a finite number of abelian subgroups, H1H2Hnsuch that G = H1H2HnIt is shown that, if G is a factorizable or connected locally compact group, then every derivation from Cl(G) to an arbitrary C(G)-bimodule X is continuous. © 1992, Australian Mathematical Society. All rights reserved.

DOI 10.1017/S1446788700034340
1992 Willis GA, 'The compact approximation property does not imply the approximation property', Studia Mathematica, 99-108 (1992)
1992 Willis G, 'Examples of factorization without bounded approximate units', Proceedings of the London Mathematical Society, s3-64 602-624 (1992)

Examples are given of Banach algebras which do not have bounded approximate units but in which every element is a product. Another algebra is constructed in which there are elemen... [more]

Examples are given of Banach algebras which do not have bounded approximate units but in which every element is a product. Another algebra is constructed in which there are elements which are not products but every element is the sum of two products. Most of the examples are commutative and separable. These examples suggest that there may be a connection between factorization questions and the topology of the carrier space of a Banach algebra. © 1992 University of North Carolina Press.

DOI 10.1112/plms/s3-64.3.602
1991 Moran W, Willis GA, 'Boundaries and modular ideals on locally compactgroups', Proceedings of the American Mathematical Society, 112 819-827 (1991)

The purpose of this paper is to exhibit an example of a modular ideal of the form L1(G)*(d(e)-µ, where p. is a probability measure onthe locally compact group G which has all of ... [more]

The purpose of this paper is to exhibit an example of a modular ideal of the form L1(G)*(d(e)-µ, where p. is a probability measure onthe locally compact group G which has all of its convolution powers purely singular. © 1991 American Mathematical Society.

DOI 10.1090/S0002-9939-1991-1033960-3
1991 MORAN W, WILLIS GA, 'BOUNDARIES AND MODULAR IDEALS ON LOCALLY COMPACT-GROUPS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 112 819-827 (1991)
DOI 10.2307/2048706
Citations Web of Science - 2
1990 WILLIS GA, 'PROBABILITY-MEASURES ON GROUPS AND SOME RELATED IDEALS IN GROUP-ALGEBRAS', JOURNAL OF FUNCTIONAL ANALYSIS, 92 202-263 (1990)
DOI 10.1016/0022-1236(90)90075-V
Citations Scopus - 19Web of Science - 20
1989 LOY 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)
Citations Scopus - 13Web of Science - 15
1988 WILLIS GA, 'CONTINUITY OF TRANSLATION INVARIANT LINEAR FUNCTIONALS ON C0(G) FOR CERTAIN LOCALLY COMPACT GROUPS-G', MONATSHEFTE FUR MATHEMATIK, 105 161-164 (1988)
DOI 10.1007/BF01501168
Citations Scopus - 17Web of Science - 16
1986 WILLIS GA, 'THE CONTINUITY OF DERIVATIONS AND MODULE HOMOMORPHISMS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 40 299-320 (1986)
Citations Scopus - 1Web of Science - 13
1986 WILLIS 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)
Citations Web of Science - 10
1983 Willis GA, 'Factorization in codimension two ideals of group algebras', Proceedings of the American Mathematical Society, 89 95-100 (1983)

Let G be a finitely generated group and I be a closed, two-sided ideal with codimension two in L1(G). Then the linear span of the set of all products in is equal to I. © 1983 Ame... [more]

Let G be a finitely generated group and I be a closed, two-sided ideal with codimension two in L1(G). Then the linear span of the set of all products in is equal to I. © 1983 American Mathematical Society.

DOI 10.1090/S0002-9939-1983-0706518-6
Citations Scopus - 1
1982 Willis G, 'Factorization in codimension one ideals of group algebras', Proceedings of the American Mathematical Society, 86 599-601 (1982)

It is shown that if G is a locally compact group and I is a closed, two-sided ideal with codimension one in L1(G), then I2 = I. © 1982 American Mathematical Society.... [more]

It is shown that if G is a locally compact group and I is a closed, two-sided ideal with codimension one in L1(G), then I2 = I. © 1982 American Mathematical Society.

DOI 10.1090/s0002-9939-1982-0674088-6
Citations Scopus - 10
1982 Willis GA, 'Approximate Units in Finite Codimensional Ideals of Group Algebras', Journal of the London Mathematical Society, s2-26 143-154 (1982)
DOI 10.1112/jlms/s2-26.1.143
Citations Scopus - 13
Show 56 more journal articles

Review (2 outputs)

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

Conference (3 outputs)

Year Citation Altmetrics Link
2007 Glockner H, Willis GA, 'Directions of automorphisms of lie groups over local fields compared to the directions of lie algebra automorphisms', Topology Proceedings (2007) [E1]
2004 Willis GA, 'A canonical form for automorphisms of totally disconnected locally compact groups', Proceedings of a Workshop at the Erwin Schrodinger Institute (2004) [E1]
Citations Web of Science - 4
2002 Gloeckner H, Willis GA, 'Topologization of Hecke C*-algebras', Proceedings of Spring Topology and Dynamics Conference (2002) [E1]
Edit

Grants and Funding

Summary

Number of grants 18
Total funding $2,203,131

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


20161 grants / $9,490

2016 International Visitor from University of Oxford, UK$9,490

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Professor George Willis, Professor John Wilson
Scheme International Research Visiting Fellowship
Role Lead
Funding Start 2016
Funding Finish 2016
GNo G1501031
Type Of Funding Internal
Category INTE
UON Y

20151 grants / $451,654

Scale-Multiplicative Semigroups and Geometry$451,654

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Professor George Willis, Professor Jacqui Ramagge
Scheme Discovery Projects
Role Lead
Funding Start 2015
Funding Finish 2017
GNo G1400383
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

20121 grants / $325,000

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

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Professor George Willis, Associate Professor Murray Elder
Scheme Discovery Projects
Role Lead
Funding Start 2012
Funding Finish 2014
GNo G1100080
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

20092 grants / $649,229

Totally disconnected groups in algebra and geometry$381,868

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Professor George Willis, Professor Jacqui Ramagge
Scheme Discovery Projects
Role Lead
Funding Start 2009
Funding Finish 2013
GNo G0188711
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

Computer Assisted Research Mathematics and its Applications$267,361

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Laureate Professor Jon Borwein, Conjoint Professor Natashia Boland, Associate Professor Brailey Sims, Professor George Willis
Scheme Priority Research Centre
Role Investigator
Funding Start 2009
Funding Finish 2012
GNo G0189866
Type Of Funding Internal
Category INTE
UON Y

20081 grants / $20,000

New Applications of Totally Disconnected Groups$20,000

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Professor George Willis, Dr Jacqueline Ramagge
Scheme Near Miss Grant
Role Lead
Funding Start 2008
Funding Finish 2008
GNo G0188399
Type Of Funding Internal
Category INTE
UON Y

20071 grants / $73,787

Totally disconnected groups, graphs and geometry$73,787

Funding body: VolkswagenStiftung

Funding body VolkswagenStiftung
Project Team

George Willis

Scheme Conference Funding
Role Lead
Funding Start 2007
Funding Finish 2007
GNo
Type Of Funding International - Non Competitive
Category 3IFB
UON N

20061 grants / $60,000

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

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Professor George Willis
Scheme Linkage International Fellowship
Role Lead
Funding Start 2006
Funding Finish 2006
GNo G0185350
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

20052 grants / $236,070

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

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Professor George Willis, Dr Jacqueline Ramagge
Scheme Discovery Projects
Role Lead
Funding Start 2005
Funding Finish 2007
GNo G0184324
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

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

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Professor George Willis
Scheme Travel Grant
Role Lead
Funding Start 2005
Funding Finish 2005
GNo G0185950
Type Of Funding Internal
Category INTE
UON Y

20031 grants / $28,800

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

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Professor George Willis
Scheme Linkage International Award
Role Lead
Funding Start 2003
Funding Finish 2005
GNo G0182680
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

20022 grants / $187,400

Totally disconnected groups and their algebras$185,000

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Professor George Willis, Dr Jacqueline Ramagge
Scheme Discovery Projects
Role Lead
Funding Start 2002
Funding Finish 2004
GNo G0181137
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

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

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Professor George Willis
Scheme Visitor Grant
Role Lead
Funding Start 2002
Funding Finish 2002
GNo G0181911
Type Of Funding Internal
Category INTE
UON Y

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 body University of Newcastle
Project Team Professor George Willis
Scheme Travel Grant
Role Lead
Funding Start 2001
Funding Finish 2001
GNo G0180986
Type Of Funding Internal
Category INTE
UON Y

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

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Professor George Willis
Scheme Visitor Grant
Role Lead
Funding Start 2001
Funding Finish 2001
GNo G0180587
Type Of Funding Internal
Category INTE
UON Y

20001 grants / $5,000

Analysis of radical algebras.$5,000

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Professor George Willis
Scheme Project Grant
Role Lead
Funding Start 2000
Funding Finish 2000
GNo G0178919
Type Of Funding Internal
Category INTE
UON Y

19972 grants / $152,146

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

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Professor George Willis
Scheme Large Grant
Role Lead
Funding Start 1997
Funding Finish 1999
GNo G0176189
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

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

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Professor George Willis
Scheme Travel Grant
Role Lead
Funding Start 1997
Funding Finish 1997
GNo G0179608
Type Of Funding Internal
Category INTE
UON Y
Edit

Research Supervision

Number of supervisions

Completed6
Current3

Total current UON EFTSL

PhD1.7

Current Supervision

Commenced Level of Study Research Title / Program / Supervisor Type
2014 PhD Poisson Boundaries and Random Walks on Totally Disconnected Groups
PhD (Mathematics), Faculty of Science and Information Technology, The University of Newcastle
Principal Supervisor
2014 PhD Topological Algebra
PhD (Mathematics), Faculty of Science and Information Technology, The University of Newcastle
Principal Supervisor
2013 PhD On the Interconnectedness, via Random Walks, of Cogrowth Rates and the Folner Function
PhD (Mathematics), Faculty of Science and Information Technology, The University of Newcastle
Co-Supervisor

Past Supervision

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

The map is a representation of a researchers co-authorship with collaborators across the globe. The map displays the number of publications against a country, where there is at least one co-author based in that country. Data is sourced from the University of Newcastle research publication management system (NURO) and may not fully represent the authors complete body of work.

Country Count of Publications
Australia 55
Canada 9
United States 6
Germany 5
United Kingdom 4
More...
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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

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

Office

Room V131
Building Mathematics
Location Callaghan
University Drive
Callaghan, NSW 2308
Australia
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