Alexander S. Kechris | Academic Influence

Alexander S. Kechris's AcademicInfluence.com Rankings

Alexander S. Kechris

Mathematics

#888

World Rank

#1562

Historical Rank

#387

USA Rank

Set Theory

#12

World Rank

#19

Historical Rank

#7

USA Rank

Measure Theory

#656

World Rank

#896

Historical Rank

#265

USA Rank

mathematics Degrees

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Mathematics

Alexander S. Kechris's Degrees

PhD Mathematics University of California, Berkeley

Why Is Alexander S. Kechris Influential?

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According to Wikipedia, Alexander Sotirios Kechris is a set theorist and logician at the California Institute of Technology. Contributions Kechris has made contributions to the theory of Borel equivalence relations and the theory of automorphism groups of uncountable structuress. His research interests cover foundations of mathematics, mathematical logic and set theory and their interactions with analysis and dynamical systems.

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Alexander S. Kechris'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

Classical descriptive set theory (1987) (1667)
Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups (2003) (421)
A Glimm-Effros dichotomy for Borel equivalence relations (1990) (349)
Topics in orbit equivalence (2004) (295)
Turbulence, amalgamation, and generic automorphisms of homogeneous structures (2004) (277)
The structure of hy-per nite Borel equivalence relations (1994) (245)
Countable Borel Equivalence Relations (2002) (242)
Global Aspects of Ergodic Group Actions (2010) (217)
BOREL CHROMATIC NUMBERS (1999) (201)
Descriptive Set Theory and the Structure of Sets of Uniqueness (1987) (187)
On the classification of Polish metric spaces up to isometry (2003) (126)
The classification of hypersmooth Borel equivalence relations (1997) (118)
The Descriptive Set Theory of Polish Group Actions: BETTER TOPOLOGIES (1996) (106)
Borel Equivalence Relations and Classifications of Countable Models (1996) (105)
The Structure of σ-Ideals of Compact Sets (1987) (105)
Linear algebraic groups and countable Borel equivalence relations (2000) (103)
Countable sections for locally compact group actions (1992) (98)
Measure and category in effective descriptive set theory (1973) (97)
The Descriptive Set Theory of Polish Group Actions: DESCRIPTIVE SET THEORY (1996) (89)
The theory of countable analytical sets (1975) (87)
Rigidity Theorems For Actions Of Product Groups And Countable Borel Equivalence Relations (2005) (86)
A classification of Baire class 1 functions (1990) (80)
On a notion of smallness for subsets of the Baire space (1977) (68)
New Directions in Descriptive Set Theory (1999) (64)
The axiom of determinacy implies dependent choices in L(R) (1984) (63)
Recursion in Higher Types (1977) (62)
Borel Equivalence Relations Induced by Actions of the Symmetric Group (1998) (59)
Cabal Seminar 79–81 (1983) (58)
Cabal Seminar 76–77 (1978) (57)
Equivalence of partition properties and determinacy. (1983) (57)
Random Orderings and Unique Ergodicity of Automorphism Groups (2012) (56)
On the determinacy of games on ordinals (1981) (54)
Analytic equivalence relations and Ulm-type classifications (1995) (54)
New Dichotomies for Borel Equivalence Relations (1997) (54)
AMENABLE ACTIONS AND ALMOST INVARIANT SETS (2007) (53)
Ultraproducts of measure preserving actions and graph combinatorics (2012) (51)
The Multifarious Poincaré Recurrence Theorem (2000) (48)
The axiom of determinacy, strong partition properties and nonsingular measures (1981) (47)
HOD as a core model (2016) (46)
The Prospects for Mathematical Logic in the Twenty-First Century (2001) (41)
Introduction to Q-Theory (1983) (39)
Polish metric spaces: their classification and isometry groups (2001) (38)
Subequivalence Relations and Positive-Definite Functions (2008) (38)
Actions of Polish Groups and Classification Problems (2003) (37)
I. Orbit Equivalence (2004) (37)
Sets of ordinals constructible from trees and the third Victoria Delfino problem (1984) (37)
Notes on the Theory of Scales (1978) (37)
A strong generic ergodicity property of unitary and self-adjoint operators (2001) (37)
Dynamical properties of the automorphism groups of the random poset and random distributive lattice (2012) (36)
On the Relative Consistency Strength of Determinacy Hypothesis (1985) (34)
Recent developments in the theory of Borel reducibility (2001) (32)
Unitary representations and modular actions (2007) (32)
Measurable chromatic and independence numbers for ergodic graphs and group actions (2013) (31)
On projective ordinals (1974) (31)
Topology and descriptive set theory (1994) (29)
Ad and projective ordinals (1978) (29)
Cabal Seminar 81–85 (1988) (28)
Cabal Seminar 77 – 79 (1981) (28)
Weak containment in the space of actions of a free group (2012) (27)
Eomogeneous trees and projective scales (1981) (26)
Amenable equivalence relations and Turing degrees (1991) (26)
Rigidity properties of Borel ideals on the integers (1998) (25)
A Basis Result for Σ^0_3 Sets of Reals with an Application to Minimal Covers (1975) (23)
The Structure of Borel Equivalence Relations in Polish Spaces (1992) (23)
On the Classification Problem for Rank 2 Torsion‐Free Abelian Groups (2000) (23)
Descriptive Set Theory and Dynamical Systems: A Descriptive View of Ergodic Theory (2000) (22)
Descriptive Set Theory and Dynamical Systems: A Descriptive View of Ergodic Theory (2000) (22)
Two theorems about projective sets (1972) (21)
Dynamics of non-archimedean Polish groups (2012) (21)
Approximation of analytic by Borel sets and definable countable chain conditions (1995) (21)
The axiom of determinacy and the prewellordering property (1981) (21)
The complexity of the classification of Riemann surfaces and complex manifolds (2000) (21)
Π11 Borel sets (1989) (20)
Hereditary properties of the class of closed sets of uniqueness for trigonometric series (1991) (20)
Borel actions of Polish groups (1993) (19)
Ranks of differentiable functions (1986) (18)
Weak containment of measure-preserving group actions (2016) (18)
Descriptive set theory and dynamical systems (2000) (17)
The descriptive classification of some classes of C∗-algebras (1998) (16)
How Many Turing Degrees are There (2000) (16)
Analysis and Logic (2003) (16)
On Transfinite Sequences of Projective Sets with an Application to ∑^1_2 Equivalence Relations (1978) (16)
On spector classes (1978) (15)
Borel equivalence relations and cardinal algebras (2016) (15)
The Set of Continuous Functions with the Everywhere Convergent Fourier Series (1987) (15)
On the concept of ₁¹-completeness (1997) (15)
On the theory of $\Pi _3^1$ sets of reals (1978) (14)
COUNTABLE ORDINALS AND THE ANALYTICAL HIERARCHY, I (1975) (14)
Forcing in analysis (1978) (13)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II (2011) (13)
THE COMPLEXITY OF TOPOLOGICAL GROUP ISOMORPHISM (2017) (13)
Determinacy and the Structure of L(R) (1985) (13)
The complexity of antidifferentiation (1991) (13)
Amenable versus hyperfinite Borel equivalence relations (1993) (12)
Descriptive set theory and harmonic analysis (1992) (12)
Games, scales, and suslin cardinals (2008) (11)
Measurable enumeration of eigenelements (1998) (11)
Countable sections for locally compact group actions. II (1994) (10)
On monotone vs. nonmonotone induction (1976) (10)
The Descriptive Set Theory of Polish Group Actions: ACTIONS WITH BOREL ORBIT EQUIVALENCE RELATIONS (1996) (10)
Ordinal rankings on measures annihilating thin sets (1988) (10)
Spector Second Order Classes and Reflection (1978) (10)
Generic codes for uncountable ordinals, partition properties, and elementary embeddings (2008) (10)
A note on universal sets for classes of countable G_δ'S (1975) (9)
Structurable equivalence relations (2016) (9)
THE COMPLEXITY OF CLASSIFICATION PROBLEMS IN ERGODIC THEORY (2011) (9)
Cabal Seminar 76-77 : proceedings, Caltech-UCLA logic seminar 1976-77 (1978) (9)
Souslin cardinals, κ-souslin sets and the scale property in the hyperprojective hierarchy (1981) (9)
On the concept of π^1_1-completeness (1997) (9)
On characterizing Spector classes (1975) (9)
Cabal Seminar 81-85 : proceedings, Caltech-UCLA Logic Seminar 1981-85 (1988) (8)
A Strong Boundedness Theorem for Dilators (1991) (8)
The Descriptive Set Theory of σ - Ideals of Compact Sets (1989) (8)
Ordinal Games and Their Applications (1982) (7)
Countable ordinals and the analytical hierarchy, II (1978) (7)
"AD + uniformization” is equivalent to “half ad_R" (1988) (7)
Ordinal Games and Their Applications (1982) (7)
A coding theorem for measures (1988) (6)
Stationary probability measures and topological realizations (2013) (6)
Covering theorems for uniqueness and extended uniqueness sets (1990) (6)
$Π^1_2$ singletons and $O^#$ (1977) (6)
Ordinal Definability and Recursion Theory: The Cabal Seminar, Volume III (2016) (6)
Cabal Seminar 79-81 : proceedings, Caltech-UCLA Logic Seminar 1979-81 (1983) (6)
Zero-dimensional Spaces (1995) (6)
Projective sets and cardinal numbers: some questions related to the continuum problem (2011) (6)
Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem (2017) (6)
Games, Scales, and Suslin Cardinals: The Cabal Seminar, Volume I: The axiom of determinacy, strong partition properties, and nonsingular measures (2008) (6)
On Polish groups admitting non-essentially countable actions (2019) (5)
Review: George Boolos, Hilary Putnam, Degrees of Unsolvability of Constructible Sets of Integers (1973) (5)
Minimal Upper Bounds for Sequences of Δ^1_(2n)-Degrees (1978) (5)
The Complexity of Antidifferentiation, Denjoy Totalization, and Hyperarithmetic Reals (1987) (5)
Invariant random subgroups and action versus representation maximality (2016) (5)
An inner models proof of the Kechris–Martin theorem (2016) (5)
Forcing with Δ perfect trees and minimal Δ-degrees (1981) (5)
Wadge degrees and projective ordinals (2012) (5)
Co-induction and invariant random subgroups (2018) (4)
Games, Scales, and Suslin Cardinals: The Cabal Seminar, Volume I: Suslin cardinals, k -Suslin sets, and the scale property in the hyperprojective hierarchy (2008) (4)
Sets of everywhere singular functions (1985) (4)
The Class Of Synthesizable Pseudomeasures (1991) (4)
Determinacy with complicated strategies (1985) (3)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: AD and projective ordinals (2011) (3)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: The axiom of determinacy and the prewellordering property (2011) (3)
Realizations of countable Borel equivalence relations (2021) (3)
SET THEORY AND UNIQUENESS FOR TRIGONOMETRIC SERIES (2007) (3)
Hausdorff Measures and Sets of Uniqueness for Trigonometric Series (1989) (3)
Classifying Projective-like Hierarchies (1977) (3)
Minimal upper bounds for sequences of -degrees (1978) (3)
An Overview of Infinite Ergodic Theory (2000) (3)
Trigonometric Series and Set Theory (2012) (2)
Nine Mathematical Challenges: An Elucidation (2021) (2)
Annual Meeting of the Association for Symbolic Logic, Berkeley, 1990 (1983) (2)
Quasi-invariant measures for continuous group actions (2020) (2)
Semidirect products of groups (2010) (2)
Boundedness Theorems for Dilators and Ptykes (1991) (2)
Descriptive Set Theory and the Structure of Sets of Uniqueness: ABOUT THIS BOOK (1987) (2)
Effective Ramsey Theorems in the Projective Hierarchy (1982) (2)
Means on equivalence relations (2008) (2)
The unconditional basic sequence problem and connections with distortion (2003) (2)
The space of actions (2010) (2)
Tensor products of Hilbert spaces (2010) (2)
Ordinal Definability and Recursion Theory: The Cabal Seminar, Volume III: Introduction to Q-theory (2016) (2)
Ordinal definability in models of determinacy. Introduction to Part V (2016) (2)
The perfect set theorem and definable wellorderings of the continuum (1978) (2)
Games, Scales, and Suslin Cardinals: The Cabal Seminar, Volume I: Notes on the theory of scales (2008) (2)
Descriptive Set Theory and the Structure of Sets of Uniqueness: TRIGONOMETRIC SERIES AND SETS OF UNIQUENESS (1987) (1)
“AD plus Uniformization” is equivalent to “Half ADR” (2020) (1)
Descriptive Dynamics (2013) (1)
Countable structures with a fixed group of automorphisms (2000) (1)
Recent Advances in the Theory of Higher Level Projective Sets (1980) (1)
On recursion in E and semi-Spector classes (2016) (1)
II. Amenability and Hyperfiniteness (2004) (1)
Ordinal Definability and Recursion Theory: The Cabal Seminar, Volume III: On the theory of Π13 sets of reals, II (2016) (1)
An overview of descriptive set theory (1979) (1)
Perfect Polish Spaces (1995) (1)
Universal minimal flows of automorphism groups (2003) (1)
Subsets of ℵ1 constructible from a real (2020) (1)
Cabal Seminar 77-79 Proceedings, Caltech-Ucla Logic Seminar 1977-79 (1981) (1)
Analysis and Logic: Ordinal Indices (2003) (0)
A note on Wadge degrees (1981) (0)
PART I: GAMES AND SCALES (2008) (0)
Borel Injections and Isomorphisms (1995) (0)
Analysis and Logic: Distortion (2003) (0)
The Classification of Hyperfinite Borel Equivalence Relations (1990) (0)
Turbulence V: Calmness (2003) (0)
The Descriptive Set Theory of Polish Group Actions: POLISH GROUPS (1996) (0)
Analysis and Logic: Turbulence VII: The Second Main Theorem (2003) (0)
Analysis and Logic: Types (2003) (0)
Products of the Universal Treeable Relation, I (2001) (0)
JSL volume 50 issue 4 Cover and Back matter and Errata (1985) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: THE ALGEBRA A OF FUNCTIONS WITH ABSOLUTELY CONVERGENT FOURIER SERIES, PSEUDOFUNCTIONS AND PSEUDOMEASURES (1987) (0)
Review: Jens Erik Fenstad, The Axiom of Determinateness (1974) (0)
Analysis and Logic: Basic Model Theory II (2003) (0)
Scales and Uniformization (1995) (0)
Wiener chaos decomposition (2010) (0)
Ordinal definability and recursion theory (2016) (0)
Analysis and Logic: Alternative Formulations of the Theory (2003) (0)
Measurable Spaces and Functions (1995) (0)
Cocycles and cohomology (2010) (0)
A pr 2 01 8 THE COMPLEXITY OF TOPOLOGICAL GROUP ISOMORPHISM (0)
Stationary probability measures and topological realizations (2013) (0)
Co-Analytic Ranks (1995) (0)
Turbulence I: Overview (2003) (0)
Global aspects of measure preserving equivalence relations and graphs (2021) (0)
The Cabal Seminar. - Volume II: Wadge degrees and projective ordinals (2012) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: THE SHRINKING METHOD, THE THEOREM OF KÖRNER AND KAUFMAN, AND THE SOLUTION TO THE BOREL BASIS PROBLEM FOR U (1987) (0)
The Descriptive Set Theory of Polish Group Actions: INVARIANT MEASURES AND PARADOXICAL DECOMPOSITIONS (1996) (0)
Forcing With \triangle Perfect Trees and Minimal \triangle-Degrees (1981) (0)
Analysis and Logic: Actions of the Infinite Symmetric Group (2003) (0)
Analysis and Logic: Quantifier-Free Formulas (2003) (0)
Analysis and Logic: Gowers' dichotomy: A block Ramsey Theorem (2003) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: SETS OF RESOLUTION AND SYNTHESIS (1987) (0)
More measures from AD (2011) (0)
L O ] 2 1 Ja n 20 19 Co-induction and Invariant Random Subgroups (2019) (0)
Analysis and Logic: Ultrapowers of Normed Space Structures (2003) (0)
1996–1997 Winter Meeting of the Association for Symbolic Logic (1997) (0)
Lifts of Borel actions on quotient spaces (2020) (0)
Universal and Complete Sets (1995) (0)
Minimal Upper Bounds for Sequences of triangle1 2n -Degrees (1978) (0)
The Descriptive Set Theory of Polish Group Actions: PREFACE (1996) (0)
Borel Sets and Baire Category (1995) (0)
Analysis and Logic: Positive Bounded Formulas (2003) (0)
Representations of Analytic Sets (1995) (0)
III. Costs of Equivalence Relations and Groups (2004) (0)
COMPACT GROUP ACTIONS. II (2016) (0)
Turbulence III: Induced Actions (2003) (0)
REVIEWS-Two papers on equivalence relations (2001) (0)
Fenstad Jens Erik. The axiom of determinateness. Proceedings of the Second Scandinavian Logic Symposium , edited by Fenstad J. E., Studies in logic and the foundations of mathematics, vol. 63, North-Holland Publishing Company, Amsterdam and London 1971, pp. 41–61. (1974) (0)
Games People Play (1995) (0)
Background material: The 60's and 70's (2003) (0)
The Periodicity Theorems (1995) (0)
Analysis and Logic: Introduction (2003) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: THE PIATETSKI-SHAPIRO HIERARCHY OF U -SETS (1987) (0)
$Pi^11$ Borel Sets (1989) (0)
Gaussian probability spaces (2010) (0)
In Memoriam: Gregory Hjorth 1963–2011 (2011) (0)
Analysis and Logic: The General Glimm-Effros Dichotomy (2003) (0)
Realifications and complexifications (2010) (0)
The Projective Hierarchy (1995) (0)
The Descriptive Set Theory of Polish Group Actions: ACTIONS OF POLISH GROUPS (1996) (0)
The space of unitary representations (2010) (0)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: Preface (2011) (0)
Analytic Well-founded Relations (1995) (0)
Borel Sets and Measures (1995) (0)
Analysis and Logic: Actions of Polish Groups (2003) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: INTRODUCTION (1987) (0)
Weak containment in the space of actions of a free group (2011) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: CHARACTERIZING RAJCHMAN MEASURES (1987) (0)
Ultraproducts of Normed Space Structures (2003) (0)
Analytic Sets and the Separation Theorem (1995) (0)
Games, Scales, and Suslin Cardinals: The Cabal Seminar, Volume I: Bibliography (2008) (0)
Measure preserving automorphisms (2010) (0)
The Descriptive Set Theory of Polish Group Actions: MODEL THEORY AND THE VAUGHT CONJECTURE (1996) (0)
Equivalence of partition properties and determinacy ( set theory / descriptive set theory / constructible from the reals universe (0)
THE THEORY OF COUNTABLE ANALYTICAL SETS ( 1 ) (2008) (0)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: A note on Wadge degrees (2011) (0)
Analysis and Logic: More Model Theory (2003) (0)
Analysis and Logic: The homogeneous Banach space problem (2003) (0)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: Original Numbering (2011) (0)
Unitary representations of abelian groups (2010) (0)
2 8 Ja n 20 00 How Many Turing Degrees are There ? (2000) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: SYMMETRIC PERFECT SETS AND THE SALEM-ZYGMUND THEOREM (1987) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: EXTENDED UNIQUENESS SETS (1987) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: CLASSIFICATION OF THE COMPLEXITY OF U (1987) (0)
Notices (1990) (0)
The Cabal Seminar. - Volume I: Games, scales, and suslin cardinals (2008) (0)
AND DEFINABLE WELLORDERINGS OF THE CONTINUUM (2016) (0)
Basic Model Theory I (2003) (0)
THE THEORY OF COUNTABLE (2010) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: DECOMPOSING U -SETS INTO SIMPLER SETS (1987) (0)
WINTER OF THE ASSOCIATION FOR SYMBOLIC LOGIC (2022) (0)
Analysis and Logic: Actions of Locally Compact Groups (2003) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: REFERENCES (1987) (0)
Propagation of the scale property using games (2008) (0)
pi11 Borel Sets (1989) (0)
Standard Borel Spaces (1995) (0)
Compact Metrizable Spaces (1995) (0)
Normed Space Structures (2003) (0)
Extending representations to actions (2010) (0)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: Bibliography (2011) (0)
Turbulence II: Basic Facts (2003) (0)
Borel Sets as Clopen Sets (1995) (0)
Borel Sets and Functions (1995) (0)
Analysis and Logic: Homogeneous Structures (2003) (0)
Locally Compact Spaces (1995) (0)
Orbit Properties of Pseudo-homeomorphism Groups of a Perfect Polish Space and their Cocycles (2000) (0)
(set theory/descriptive set theory/constructible from the reals univer (2016) (0)
Turbulence VI: The First Main Theorem (2003) (0)
Games, Scales, and Suslin Cardinals: The Cabal Seminar, Volume I: GAMES AND SCALES (2008) (0)
Turbulence IV: Some Examples (2003) (0)
Analysis and Logic: References (2003) (0)
The Baire Hierarchy (1995) (0)
The Borel Hierarchy (1995) (0)
Induced representations and actions (2010) (0)
Topological and Metric Spaces (1995) (0)
Recursion theoretic papers. Introduction to Part VI (2016) (0)
Descriptive Set Theory and the Structure of Sets of Uniqueness: Preface (1987) (0)
Analysis and Logic: Actions of Countable Groups (2003) (0)

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