Joan Bagaria | Academic Influence

Joan Bagaria's AcademicInfluence.com Rankings

Joan Bagaria

Mathematics

#1790

World Rank

#2864

Historical Rank

Set Theory

#9

World Rank

#16

Historical Rank

Measure Theory

#5333

World Rank

#6308

Historical Rank

mathematics Degrees

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Mathematics

Joan Bagaria's Degrees

PhD Mathematics University of Barcelona
Bachelors Mathematics University of Barcelona

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Why Is Joan Bagaria Influential?

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According to Wikipedia, Joan Bagaria Pigrau is a Catalan mathematician, logician and set theorist at ICREA and University of Barcelona. He has made many contributions concerning forcing, large cardinals, infinite combinatorics and their applications to other areas of mathematics. He earned his Ph.D. in Logic & the Methodology of Science at Berkeley in 1991 under the supervision of Haim Judah and W. Hugh Woodin. Since 2001, he has been ICREA Research Professor at University of Barcelona. He served as the first president of the European Set Theory Society . He is also a talented teacher.

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Joan Bagaria'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

Bounded forcing axioms as principles of generic absoluteness (2000) (80)
C(n)-cardinals (2012) (43)
Group radicals and strongly compact cardinals (2013) (36)
A characterization of Martin's axiom in terms of absoluteness (1997) (27)
Reflection and indescribability in the constructible universe (2015) (27)
Definable orthogonality classes in accessible categories are small (2011) (26)
LARGE CARDINALS BEYOND CHOICE (2019) (26)
Weakly Ramsey Sets in Banach Spaces (2001) (25)
Superstrong and other large cardinals are never Laver indestructible (2013) (24)
Generic absoluteness (2001) (23)
Locally-generic Boolean algebras and cardinal sequences (2002) (18)
Solovay models and forcing extensions (2004) (18)
Generic Vopěnka’s Principle, remarkable cardinals, and the weak Proper Forcing Axiom (2017) (17)
Bounded forcing axioms and the continuum (2001) (15)
Proper forcing extensions and Solovay models (2004) (13)
On Colimits and Elementary Embeddings (2012) (12)
Derived topologies on ordinals and stationary reflection (2017) (12)
Determinacy and weakly Ramsey sets in Banach spaces (2001) (11)
An Ω-logic Primer (2006) (10)
ON THE SYMBIOSIS BETWEEN MODEL-THEORETIC AND SET-THEORETIC PROPERTIES OF LARGE CARDINALS (2016) (9)
ON ${\omega _1}$ -STRONGLY COMPACT CARDINALS (2014) (9)
Generic absoluteness under projective forcing (2007) (8)
Fragments of Martin's axiom and Delta13 Sets of Reals (1994) (7)
On coding uncountable sets by reals (2010) (7)
Parameterized partition relations on the real numbers (2009) (6)
Projective Forcing (1997) (6)
sets of reals (1997) (6)
Amoeba Forcing, Suslin Absoluteness and Additivity of Measure (1992) (6)
1\ sets of reals (1997) (5)
Epireflections and supercompact cardinals (2007) (4)
Set Theory: Techniques and Applications (2000) (4)
Axioms of generic absoluteness (2016) (4)
Thin-tall spaces and cardinal sequences (2007) (3)
LARGE CARDINALS AS PRINCIPLES OF STRUCTURAL REFLECTION (2021) (3)
THE WEAK VOPĚNKA PRINCIPLE FOR DEFINABLE CLASSES OF STRUCTURES (2022) (3)
$\underset{\tilde}{\Delta}^1_n$ Sets of Reals (1997) (3)
A Short Guide to Gödel's Second Incompleteness Theorem (2003) (2)
Review: Saharon Shelah, Hugh Woodin, Large Cardinals Imply That Every Reasonably Definable Set of Reals Is Lebesgue Measurable (2002) (2)
The consistency strength of hyperstationarity (2020) (2)
Patterns of Structural Reflection in the large-cardinal hierarchy (2022) (1)
The Weak Vop\v{e}nka Principle for definable classes of structures (2020) (1)
Huge reflection (2021) (1)
On partial orderings having precalibre-$\aleph_1$ and fragments of Martin's axiom (2015) (1)
Steel’s Programme: Evidential Framework, the Core and Ultimate-L (2020) (1)
Symmetries in the Set-Theoretic Universe and the Higher Infinite (2018) (0)
~Delta1n Sets of Reals (1997) (0)
Adding a random real number and its effect on Martin's axiom (2014) (0)
Definable orthogonality classes in accessible categories (2015) (0)
IV.22 Set Theory (2010) (0)
Reflection and indescribability in the constructible universe (2015) (0)
C(n)-cardinals (2011) (0)
MORE ON THE PRESERVATION OF LARGE CARDINALS UNDER CLASS FORCING (2021) (0)
Generic Vopěnka’s Principle, remarkable cardinals, and the weak Proper Forcing Axiom (2016) (0)
Saharon Shelah and Hugh Woodin. Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable . Israel journal of mathematics , vol. 70 (1990), pp. 381–394. (2002) (0)
New frontiers of infinity: mathematical, philosophical, and computational prospects (2009) (0)
Superstrong and other large cardinals are never Laver indestructible (2015) (0)
Cardinals Beyond Choice and the HOD-Dichotomy (2022) (0)
ω1-strongly compact cardinals and normality (2022) (0)

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