Joan Bagaria

Joan Bagaria Pigrau (born August 17, 1958) 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.^[1] Since 2001, he has been ICREA Research Professor at University of Barcelona.^[2] He served as the first president of the European Set Theory Society (2007–11). He is also a talented teacher.

Joan Bagaria
Joan Bagaria in 2018
Born	17 August 1958 Manlleu (Catalonia)
Citizenship	Spanish
Alma mater	Universitat de Barcelona and University of California, Berkeley
Children	2
Scientific career
Thesis	Definable forcing and regularity properties of projective sets of reals (1991)
Doctoral advisor	W. Hugh Woodin
Website	https://www.icrea.cat/Web/ScientificStaff/joan--bagaria-i-pigrau-119

His research work is widely cited,^[3] and he has given talks to the general public.^[4][5]

He is also an active Catalan independentist.^[6]

Some publications

• J. Bagaria (1997). "A characterization of Martin's axiom in terms of absoluteness". Journal of Symbolic Logic. 62 (2): 366–372. doi:10.2307/2275537. JSTOR 2275537. S2CID 31983664.
• J. Bagaria (2000). "Bounded forcing axioms as principles of generic absoluteness". Archive for Mathematical Logic. 39 (6): 393–401. doi:10.1007/s001530050154. S2CID 40480131.
• D. Asperó & J. Bagaria (2001). "Bounded forcing axioms and the continuum". Annals of Pure and Applied Logic. 109 (3): 179–203. doi:10.1016/S0168-0072(00)00058-0.
• J. Bagaria & J. López-Abad (2001). "Weakly Ramsey Sets in Banach Spaces". Advances in Mathematics. 160 (2): 133–174. doi:10.1006/aima.2001.1983.
• J. Bagaria & J. López-Abad (2002). "Determinacy and weakly Ramsey sets in Banach spaces". Transactions of the American Mathematical Society. 354 (4): 1327–1349. doi:10.1090/S0002-9947-01-02926-9.
• J. Bagaria & R. Bosch (2004). "Solovay models and forcing extensions". Journal of Symbolic Logic. 69 (3): 742–766. doi:10.2178/jsl/1096901764. S2CID 31614083.
• J. Bagaria (2008). "Set Theory". In T. Gowers; J. Barrow-Green; I. Leader (eds.). The Princeton Companion to Mathematics. Princeton University Press. ISBN 978-0-691-11880-2.
• J. Bagaria (2012). "C(n)-cardinals". Archive for Mathematical Logic. 51 (3–4): 213–240. doi:10.1007/s00153-011-0261-8. S2CID 208867731.
• J. Bagaria & M. Magidor (2014). "Group radicals and strongly compact cardinals". Transactions of the American Mathematical Society. 366 (4): 1857–1877. doi:10.1090/S0002-9947-2013-05871-0.
• J. Bagaria; C. Casacuberta; A.R.D. Mathias & J. Rosický (2015). "Definable orthogonality classes in accessible categories are small". Journal of the European Mathematical Society. 17 (3): 549–589. arXiv:1101.2792. doi:10.4171/JEMS/511. S2CID 119164862.
• J. Bagaria; J. D. Hamkins; K. Tsaprounis & T. Usuba (2016). "Superstrong and other large cardinals are never Laver indestructible". Archive for Mathematical Logic. 55 (1–2): 19–35. arXiv:1307.3486. doi:10.1007/s00153-015-0458-3. S2CID 42939147.

References

1. Joan Bagaria at the Mathematics Genealogy Project
2. ORCID Page [1]
3. Data in Scopus: [2]
4. Turing's Legacy in Mathematical Logic and Foundation of Mathematics [3] 2018-05-03 at the Wayback Machine
5. Matemàtiques en acció
6. VilaWeb's coverage [4]

External links

• Home page at ICREA
• Personal Profile at ResearchGate