Matthew Foreman | Academic Influence

Matthew Foreman's AcademicInfluence.com Rankings

Matthew Foreman

Mathematics

#908

World Rank

#1595

Historical Rank

#398

USA Rank

Measure Theory

#712

World Rank

#960

Historical Rank

#283

USA Rank

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Mathematics

Matthew Foreman's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics Princeton University

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Why Is Matthew Foreman Influential?

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According to Wikipedia, Matthew Dean Foreman is an American mathematician at University of California, Irvine. He has made notable contributions in set theory and in ergodic theory. Biography Born in Los Alamos, New Mexico, Foreman earned his Ph.D. from the University of California, Berkeley in 1980 under Robert M. Solovay. His dissertation title was Large Cardinals and Strong Model Theoretic Transfer Properties.

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Matthew Foreman'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

Martin's Maximum, saturated ideals and non-regular ultrafilters. Part II (1988) (310)
Squares, scales and stationary Reflection (2001) (214)
Handbook of Set Theory (2010) (196)
Large Cardinals and Definable Counterexamples to the Continuum Hypothesis (1995) (102)
A very weak square principle (1997) (98)
Ideals and Generic Elementary Embeddings (2010) (95)
The generalized continuum hypothesis can fail everywhere (1991) (87)
An anti-classification theorem for ergodic measure preserving transformations (2004) (82)
The Tree Property (1998) (75)
The conjugacy problem in ergodic theory (2011) (68)
Games played on Boolean algebras (1983) (53)
Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal onPϰ(λ) (2001) (53)
The Multifarious Poincaré Recurrence Theorem (2000) (48)
Banach-Tarski decompositions using sets with the property of Baire (1994) (44)
Canonical structure in the universe of set theory: part one (2004) (42)
Some downwards transfer properties for N2 (1988) (41)
A new Löwenheim-Skolem theorem (2004) (39)
Canonical structure in the universe of set theory: part two (2006) (38)
Diagonal Prikry extensions (2010) (31)
The consistency strength of successive cardinals with the tree property (2001) (30)
Review: Donald A. Martin, John R. Steel, Projective Determinacy; W. Hugh Woodin, Supercompact Cardinals, Sets of Reals, and Weakly Homogeneous Trees; Donald A. Martin, John R. Steel, A Proof of Projective Determinacy (1992) (29)
The complexity of the collection of measure-distal transformations (1996) (27)
More saturated ideals (2020) (26)
Large cardinals and strong model theoretic transfer properties (1982) (25)
The Hahn-Banach theorem implies the existence of a non-Lebesgue measurable set (1991) (25)
The Club Guessing Ideal: Commentary on a Theorem of Gitik and Shelah (2005) (24)
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)
An ℵ1-dense ideal on ℵ2 (1998) (18)
Banach-Tarski paradox using pieces with the property of Baire. (1992) (17)
Calculating quotient algebras of generic embeddings (2013) (17)
Descriptive set theory and dynamical systems (2000) (17)
On the conjugacy relation in ergodic theory (2006) (14)
Some Problems in Singular Cardinals Combinatorics (2005) (14)
A symbolic representation for Anosov–Katok systems (2015) (13)
Smoke and mirrors: Combinatorial properties of small cardinals equiconsistent with huge cardinals (2009) (12)
THE COLLECTION OF DISTAL FLOWS IS NOT BOREL (1995) (12)
The non-compactness of square (2003) (12)
Measure preserving diffeomorphisms of the torus are unclassifiable (2017) (12)
From odometers to circular systems: A global structure theorem (2017) (11)
Stationary sets, Chang's conjecture and partition theory (1999) (11)
A partition relation for successors of Large Cardinals (2003) (10)
A mixture of Gaussians approach to mathematical portfolio oversight: the EF3M algorithm (2013) (9)
0# and some forcing principles (1986) (8)
Correction to “Martin’s Maximum, saturated ideals, and non-regular ultrafilters. Part I” (1989) (8)
The Spectrum of the Γ-Invariant of a Bilinear Space☆ (1997) (7)
Organic and tight (2009) (6)
What is ... a Borel reduction? (2018) (6)
Scales, squares and reflection (2001) (5)
Rank-one transformations, odometers, and finite factors (2019) (5)
A Dilworth Decomposition Theorem for λ Suslin Quasi-Orderings of R (1989) (5)
Models for measure preserving transformations (2010) (5)
An Overview of Infinite Ergodic Theory (2000) (3)
CHANG’S CONJECTURE, GENERIC ELEMENTARY EMBEDDINGS AND INNER MODELS FOR HUGE CARDINALS (2015) (3)
Forbidden intervals (2009) (3)
Introduction to the Special Issue on Singular Cardinals Combinatorics (2005) (2)
The complexity of the Structure and Classification of Dynamical Systems (2022) (2)
Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on <Emphasis Type="Italic">P </Emphasis> <Subscript> </Subscript>() (2006) (2)
Amenable group actions on the integers; an independence result (1989) (2)
GÖDEL DIFFEOMORPHISMS (2020) (1)
Games with Filters (2020) (1)
Odometer Based Systems (2020) (1)
Domeyard: Starting a High-Frequency Trading (HFT) Hedge Fund (2015) (1)
Amenable Groups and Invariant Means (1994) (1)
2003 european summer meeting of the association for symbolic logic logic colloquim'03 (2004) (0)
Orbit Properties of Pseudo-homeomorphism Groups of a Perfect Polish Space and their Cocycles (2000) (0)
Some other Problems in Set Theory (1992) (0)
ON ‘ AXIOMATIC APPROACHES TO FORCING TECHNIQUES IN SET THEORY ’ (2014) (0)
Determinacy and the tree property (2003) (0)
A of determinacy. Journal the American Mathematical vol. (1989), pp. (1992) (0)
CANONICAL STRUCTURE IN THE UNIVERSE OF SETTHEORY : PART (0)
Naive Descriptive Set Theory (2021) (0)
SINGULAR CARDINAL COMBINATORICS (2004) (0)
2020 NORTH AMERICAN ANNUAL MEETING OF THE ASSOCIATION FOR SYMBOLIC LOGIC University of California, Irvine Irvine, California, USA March 25–28, 2020 (2020) (0)
The Portfolio Oversight Decision: A Mixture of Gaussians Approach (2011) (0)
A Model in Which GCH Holds at Successors but Fails at Limits@@@Strong Ultrapowers and Long Core Models@@@Coherent Sequences versus Radin Sequences@@@Squares, Scales and Stationary Reflection (2002) (0)
Aronszajn Trees on N 2 and N 3 (2001) (0)
Abstracts of Plenary Talks (2014) (0)
Calculating quotient algebras of generic embeddings (2012) (0)

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