Robert M. Solovay | Academic Influence

Robert M. Solovay's AcademicInfluence.com Rankings

Robert M. Solovay

Mathematics

#319

World Rank

#679

Historical Rank

#152

USA Rank

Set Theory

#4

World Rank

#10

Historical Rank

#2

USA Rank

Measure Theory

#206

World Rank

#319

Historical Rank

#89

USA Rank

mathematics Degrees

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Mathematics

Robert M. Solovay's Degrees

PhD Mathematics Stanford University
Bachelors Mathematics Princeton University

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Why Is Robert M. Solovay Influential?

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According to Wikipedia, Robert Martin Solovay is an American mathematician specializing in set theory. Biography Solovay earned his Ph.D. from the University of Chicago in 1964 under the direction of Saunders Mac Lane, with a dissertation on A Functorial Form of the Differentiable Riemann–Roch theorem. Solovay has spent his career at the University of California at Berkeley, where his Ph.D. students include W. Hugh Woodin and Matthew Foreman.

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Robert M. Solovay'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

A model of set-theory in which every set of reals is Lebesgue measurable* (1970) (851)
A Fast Monte-Carlo Test for Primality (1977) (651)
Relativizations of the $\mathcal{P} = ?\mathcal{NP}$ Question (1975) (548)
Relativizations of the P =? NP Question (1975) (485)
Provability interpretations of modal logic (1976) (445)
Internal cohen extensions (1970) (398)
Iterated Cohen extensions and Souslin's problem* (1971) (370)
Strong axioms of infinity and elementary embeddings (1978) (272)
Real-valued measurable cardinals (1967) (166)
A Basis Theorem for ∑ 1 3 Sets of Reals (1969) (88)
Collected Works, Volume I, Publications 1929-1936 (1987) (71)
Hyperarithmetically encodable sets (1978) (62)
Recursively enumerable sets modulo iterated jumps and extensions of Arslanov's completeness criterion (1989) (58)
A Version of Ω for which ZFC Cannot Predict a Single Bit (2000) (53)
The independence of DC from AD (2020) (51)
Extremes in the Degrees of Inferability (1994) (50)
A nonconstructible Δ₃¹ set of integers (1967) (48)
When oracles do not help (1991) (42)
Definability of measures and ultrafilters (1977) (41)
Erratum: A Fast Monte-Carlo Test for Primality (1978) (40)
Introduction to Q-Theory (1983) (39)
On the Relative Consistency Strength of Determinacy Hypothesis (1985) (34)
Kurt Godel: collected works. Vol. 1: Publications 1929-1936 (1986) (31)
On partitions into stationary sets (1975) (29)
On interpretability in set theories (1976) (29)
New proof of a theorem of Gaifman and Hales (1966) (24)
Squares with diamonds and Souslin trees with special squares (1987) (24)
Injecting Inconsistencies into Models of PA (1989) (22)
On the Cardinality of \sum_2^1 Sets of Reals (1969) (21)
The axiom of determinacy and the prewellordering property (1981) (21)
A Nonconstructible Δ 1 3 Set of Integers (1967) (19)
Fixed points of jump preserving automorphisms of degrees (1977) (19)
Learning via queries (1992) (17)
The consistency strength of NFUB (1997) (15)
Some new results on decidability for elementary algebra and geometry (2009) (12)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: A Δ13 coding of the subsets of ωω (2011) (10)
Learning Via Queries in $\lbrack +, < \rbrack$ (1992) (9)
Strong measure zero and infinite games (2017) (9)
A Δ 3 1 coding of the subsets of ωω (1978) (8)
Explicit Henkin sentences (1985) (7)
PARTITIONING α–LARGE SETS: SOME LOWER BOUNDS (2006) (5)
A Version of $\Omega$ for which ZFC can not Predict a Single Bit (1999) (4)
On the decomposition of sets of reals to borel sets (1972) (4)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: The axiom of determinacy and the prewellordering property (2011) (3)
Ordinal Definability and Recursion Theory: The Cabal Seminar, Volume III: Introduction to Q-theory (2016) (2)
On Sets Cook-Reducible to Sparse Sets (1976) (2)
2χoCAN BE ANYTHING IT OUGHT TO BE (2014) (1)
Learning via queries in $\lbrack +, (1992) (1)
Gleason ’ s Theorem for non-separable Hilbert spaces : Extended abstract (2009) (1)
CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS (1965) (0)
The consistency strength of NFUB Preliminary draft (2008) (0)
Learning vi Queries in [+, <] (1992) (0)
RELATIVIZATIONS OF THE = ? 4 / QUESTION (0)
Cdmtcs Research Report Series a Version of for Which Z F Ccan Not Predict a Single Bit a Version of for Which Z F Ccan Not Predict a Single Bit (1999) (0)
Rewrite plan for my research monograph (0)
Strong measure zero and infinite games (2017) (0)
CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE (1965) (0)
STUDIES IN MATHEMATICAL AUTOMATA THEORY. (1967) (0)
A nonconstructible $\Delta \sb{3}{}\sp{1}$ set of integers (1967) (0)
KOLMOGOROV'S LOGIC OF PROBLEMS AND A PROVABILITY I N T E R P R E T A T I O N OF I N T U I T I O N I S T I C LOGIC (2004) (0)
CHAPTER II. REVIEW OF K-THEORY (1965) (0)
Useful Tools and Technologies (2011) (0)
Intuition vs. Monsters (1998) (0)
CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS (1965) (0)
Relativizations of the $\mathscr{P} =?\mathscr{N} \mathscr{P}$ question (1986) (0)
CHAPTER XV. DEFINITION OF ia AND it ON K(M) (1965) (0)

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