Greg Hjorth
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Most Influential Person Now
Australian Professor of Mathematics, chess International Master and joint Commonwealth Chess Champion
Greg Hjorth's Degrees
- PhD Mathematics University of Melbourne
- Bachelors Mathematics University of Melbourne
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Why Is Greg Hjorth Influential?
(Suggest an Edit or Addition)According to Wikipedia, Greg Hjorth was an Australian Professor of Mathematics, chess International Master and joint Commonwealth Champion in 1983. He worked in the field of mathematical logic. Chess career Hjorth came second in the 1980 Australian Chess Championship, at the age of 16. He won the Doeberl Cup in Canberra in 1982, 1985 and 1987, and played for Australia in the Chess Olympiads of 1982, 1984 and 1986.
Greg Hjorth's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Classification and Orbit Equivalence Relations (1999) (255)
- Borel Equivalence Relations and Classifications of Countable Models (1996) (105)
- Rigidity Theorems For Actions Of Product Groups And Countable Borel Equivalence Relations (2005) (86)
- A converse to Dye's theorem (2004) (84)
- Borel Equivalence Relations (2010) (76)
- Borel Equivalence Relations Induced by Actions of the Symmetric Group (1998) (59)
- A lemma for cost attained (2006) (58)
- New Dichotomies for Borel Equivalence Relations (1997) (54)
- Analytic equivalence relations and Ulm-type classifications (1995) (54)
- The isomorphism relation on countable torsion free abelian groups (2002) (45)
- Around nonclassifiability for countable torsion free abelian groups (1999) (42)
- Actions by the classical Banach spaces (2000) (38)
- On invariants for measure preserving transformations (2001) (34)
- From Automatic Structures to Borel Structures (2008) (33)
- Randomness via effective descriptive set theory (2007) (32)
- Recent developments in the theory of Borel reducibility (2001) (32)
- Knight's Model, its automorphism Group, and Characterizing the uncountable Cardinals (2002) (31)
- A dichotomy for the definable universe (1995) (28)
- Reducibility and nonreducibility between ℓ^{} equivalence relations (1999) (27)
- Some applications of coarse inner model theory (1997) (26)
- Thin equivalence relations and effective decompositions (1993) (25)
- An Oscillation Theorem for Groups of Isometries (2008) (24)
- Free continuous actions on zero-dimensional spaces (2006) (22)
- An absoluteness principle for Borel sets (1998) (22)
- The complexity of the classification of Riemann surfaces and complex manifolds (2000) (21)
- Orbit cardinals: On the effective cardinalities arising as quotient spaces of the formX/G whereG acts on a Polish spaceX (1999) (21)
- Variations of the Martin-Solovay tree (1996) (20)
- Regularity Properties for Dominating Projective Sets (1995) (20)
- The Classification Problem for P-Local torsion-Free Abelian Groups of Rank two (2006) (17)
- TOPOLOGICAL FULL GROUPS OF MINIMAL SUBSHIFTS AND JUST-INFINITE GROUPS (2012) (17)
- Infinite dimensional group representations (1999) (16)
- Conjugacy equivalence relation on subgroups (2001) (15)
- A dichotomy theorem for turbulence (2002) (15)
- The Size of the Ordinal u2 (1995) (12)
- Vaught’s conjecture and the Glimm-Effros property for Polish transformation groups (1999) (12)
- A boundedness lemma for iterations (2001) (11)
- Strong Cardinals in the Core Model (1997) (10)
- Treeable Equivalence Relations (2012) (10)
- Universal co-analytic sets (1996) (9)
- Review: L. A. Harrington, A. S. Kechris, A. Louveau, A Glimm-Effros Dichotomy for Borel Equivalence Relations (1998) (9)
- Two Applications of Inner Model Theory to the Study of Sets (1996) (9)
- A Note on Counterexamples to the Vaught Conjecture (2007) (9)
- A universal Polish G-space (1997) (9)
- A DESCRIPTIVE VIEW OF UNITARY GROUP REPRESENTATIONS (2014) (9)
- SELECTION THEOREMS AND TREEABILITY (2008) (8)
- Vaught’s conjecture on analytic sets (1997) (8)
- Effective Cardinals of Boldface pointclasses (2007) (8)
- Non-treeability for product group actions (2008) (8)
- The borel complexity of orbit equivalence (2005) (8)
- Ends of graphed equivalence relations, II (2009) (7)
- Vienna notes on effective descriptive set theory and admissible sets (2010) (7)
- The fine structure and Borel complexity of orbits (2010) (7)
- Mixing actions of groups with the Haagerup approximation property (2009) (6)
- On ℵ1 many minimal models (1996) (5)
- Subgroups of Abelian Polish Groups (2006) (5)
- Bi-Borel reducibility of essentially countable Borel equivalence relations (2005) (5)
- Borel structures and Borel theories (2011) (5)
- The conjugacy relation on unitary representations (2011) (5)
- Glimm-Effros for coanalytic equivalence relations (2009) (4)
- Cameron's Cofinitary Group Conjecture☆ (1998) (4)
- Borel equivalence relations which are highly unfree (2008) (3)
- Cardinalities in the projective hierarchy (2002) (3)
- Wildness in the product groups (2000) (2)
- Two Applications of Inner Model Theory to the Study of $\underset \sim \to{\Sigma}{}_{2}^{1}$ Sets (1996) (2)
- Π11 Wellfounded Relations (1994) (2)
- A new zero-dimensional Polish group (1998) (2)
- Conjugacy equivalence of subgroups (2001) (2)
- Group actions and countable models (2016) (2)
- Pi12 Wadge Degrees (1996) (2)
- Two generated groups are universal (2008) (1)
- Sharper changes in topologies (1996) (1)
- RIGIDITY AND EQUIVALENCE RELATIONS WITH INFINITELY MANY ENDS (2008) (1)
- The Furstenberg lemma characterizes amenability (2006) (1)
- Classification Problems in Mathematics (2010) (1)
- Countable Borel equivalence relations, Borel reducibility, and orbit equivalence (2009) (1)
- Classification Problems in Mathematics (2010) (1)
- Measuring the Classification Difficulty of Countable Torsion-Free Abelian Groups (2002) (1)
- Orbit cardinals : On the definable cardinalities of quotient spaces of the form X / G , where G acts on a Polish space (1)
- T. Jech. Set theory. The third millennium edition, revised and expanded. Springer-Verlag, Berlin, 2003, viii + 769 pp. (2005) (1)
- The Cardinality of the second uniform indiscernible (1992) (1)
- Continuous Images of Coanalytic Sets (2016) (1)
- There are more co-analytic sets than Borel (Combinatorial and Descriptive Set Theory) (2008) (0)
- REVIEWS-Two papers on equivalence relations (2001) (0)
- Yet Another Proof of Gaboriau–Popa (2009) (0)
- Universal sets for pointsets properly on the nth level of the projective hierarchy (2013) (0)
- The dark side (1999) (0)
- A generalized Scott analysis (1999) (0)
- Review: Matthew Foreman, M. Foreman, A. S. Kechris, A. Louveau, B. Weiss, A Descriptive View of Ergodic Theory; Alexander S. Kechris, Descriptive Dynamics (2001) (0)
- Mixing actions of groups with HAP (2008) (0)
- Notices (2011) (0)
- Wellfounded Relations (2002) (0)
- Independently Axiomatizable [image] Theories (2009) (0)
- Orbit cardinalities (1996) (0)
- 2001–2002 Winter Meeting of the Association for Symbolic Logic (2002) (0)
- Uniquely undefinable elements (2010) (0)
- Definitions and technicalities (1999) (0)
- Topics In Descriptive Set Theory Related To Number Theory and Analysis (0)
- Measure Theory, 2010 (2010) (0)
- An anticompleteness theorem (2008) (0)
- Countable models and the theory of Borel equivalence relations (2016) (0)
- Some applications of illfoundedness (1996) (0)
- Independently Axiomatizable L ω 1 , ω Theories (2008) (0)
- REVIEWS-Set theory (2005) (0)
- Independently axiomatizable ℒω1,ω theories (2009) (0)
- Maurice Chiodo On torsion in nitely presented groups (2014) (0)
- Independently Axiomatizable L ω 1 , ω Theories (2008) (0)
- Independently axiomatizable Lomega1, omega theories (2009) (0)
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