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Find an ExpertProfiling the University of Melbourne's Researchers

PROF GREG HJORTH



Contact Details

Organization: Mathematics and Statistics
Position: AUSTRALIAN PROFESSORIAL FELLOWSHIP
Email:
Homepage: http://www.ms.unimelb.edu.au/Personnel/profile.php?PC_id=376
Work: 83445534
Room: 159
Building: Redmond Barry Building
Campus: Parkville

Research Expertise and International Linkages

Research Expertise

Research Interest Key Words Country of Expertise
Mathematical Logic Set Theory United States of America

Qualifications, Honours, Fellowships and Other Awards

Qualifications

Title Institution Date Awarded Abbreviation
Doctor University of California - Berkeley 01-Jun-1993

Other Awards

Award Type Awarding Body Comments Date Awarded
Prize Association of Symbolic Logic 01-Jun-2003

Government Research Classifications

Research Fields, Courses and Discipline Classifications

Socio-Economic Objective Classifications

Grants and Contracts

Research Grants, Contracts and Consultancies awarded to the University of Melbourne as the administering institution (since 2003) as recorded in Themis Agreements.

Grants

Title Role Funding Source Scheme Award Date
"Equivalence Relations, Group Actions, and Descriptive Set Theory" Chief Investigator AUST RESEARCH COUNCIL Discovery Projects 01/01/2006

Publications

Publications produced at the University of Melbourne and reported in the Annual Publications Collection and 'Research Report' since 2001. The Themis Publications module, released in November 2006, allows additional publications from previous institutions and publications from past years to be entered.

Publications in 2008

Journal Articles

  • An oscillation theorem for groups of isometries
    Year: 2008
    Journal: Geometric and Functional Analysis
    Volume: 18
    Issue: 2
    Page numbers: 489-521
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  • Non-treeability for product group actions
    Year: 2008
    Journal: Israel Journal of Mathematics
    Volume: 163
    Page numbers: 383-409
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  • Selection theorems and treeability
    Year: 2008
    Journal: Proceedings of the American Mathematical Society
    Volume: 136
    Page numbers: 3647--3653
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Publications in 2007

Journal Articles

  • A note on counterexamples to the Vaught conjecture


    Year: 2007
    Journal: Notre Dame Journal of Formal Logic
    Volume: 48
    Issue: 1
    Page numbers: 49-51
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  • Effective cardinals of boldface pointclasses


    Year: 2007
    Journal: Journal of Mathematical Logic
    Volume: 1
    Issue: 1
    Page numbers: 35-82
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  • Randomness via effective descriptive set theory.
    Year: 2007
    Journal: Journal of the London Mathematical Society - Second Series
    Volume: 75
    Issue: 2
    Page numbers: 495-508
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Publications in 2006

Book Chapters

  • Subgroups of abelian Polish groups
    Year: 2006
    Book: Set Theory: Trends in Mathematics
    Publisher: Birkhauser(Basel)
    Authors(s):
    Editors(s):

Journal Articles

  • Free continuous actions of zero-dimensional spaces


    Year: 2006
    Journal: Topology and Its Applications
    Volume: 153
    Issue: 7
    Page numbers: 1116-1131
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  • A lemma for cost attained
    Year: 2006
    Journal: Annals of Pure and Applied Logic
    Volume: 143
    Issue: 1-3
    Page numbers: 87-102
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  • The Furstenberg lemma characterizes amenability
    Year: 2006
    Journal: Proceedings of the American Mathematical Society
    Volume: 134
    Issue: 10
    Page numbers: 3061-3069
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  • The classification problem for p-local torsion-free abelian groups of rank two
    Year: 2006
    Journal: Journal of Mathematical Logic
    Volume: 6
    Issue: 2
    Page numbers: 233-251
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Publications in 2005

Journal Articles

  • Bi-Borel reducibility of essentially countable Borel equivalence relations


    Year: 2005
    Journal: Journal of Symbolic Logic
    Volume: 70
    Page numbers: 979-992
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  • A converse to Dye's theorem
    Year: 2005
    Journal: Transactions of the American Mathematical Society
    Volume: 357
    Page numbers: 3083-3103
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  • Rigidity theorems for actions of product groups and countable Borel equivalence relations
    Year: 2005
    Journal: American Mathematical Society Memoirs
    Volume: 177
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Publications in 2002

Journal Articles

  • A dichotomy theorem for turbulence
    Year: 2002
    Journal: Journal of Symbolic Logic
    Volume: 67
    Page numbers: 1520-1540
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  • Cardinalities in the projective heirarchy
    Year: 2002
    Journal: Journal of Symbolic Logic
    Volume: 67
    Page numbers: 1351-1372
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  • Knight's model, its automorphism group, and characterizing the uncountable cardinals
    Year: 2002
    Journal: Journal of Mathematical Logic
    Volume: 2
    Page numbers: 113-144
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  • The isomorphism relation on countable torsion free abelian groups
    Year: 2002
    Journal: Fundamenta Mathematicae
    Volume: 175
    Page numbers: 241-257
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Publications in 2001

Journal Articles

  • A boundedness lemma for iteration
    Year: 2001
    Journal: Journal of Symbolic Logic
    Volume: 66
    Page numbers: 1058-1072
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  • Conjugacy equivalence relation on subgroups
    Year: 2001
    Journal: Fundamenta Mathematicae
    Volume: 167
    Page numbers: 189-212
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  • Vaught's conjecture on analytic sets
    Year: 2001
    Journal: Journal of the American Mathematical Society
    Volume: 14
    Issue: 1
    Page numbers: 125-143
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