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Bagaria i Pigrau, Joan
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ICREA Research Professor at UB (Universitat de Barcelona). Experimental Sciences & Mathematics
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Born on 17 August 1958 in Manlleu, Barcelona. PhD in Logic and the Methodology of Science, University of California at Berkeley, 1991. ICREA Research Professor at the University of Barcelona, since 2001. Invited researcher at Univ. of California, Berkeley; Kobe Univ.; National Univ. of Singapore; Kurt Gödel Research Center for Mathematical Logic, Vienna; IVIC, Caracas; Univ. Paris VII; CalTech, Mittag-Leffler Institut, etc. President of the European Set Theory Society, since July 2007; ICREA Director’s Scientific Advisor, since 2005; Chairman of the INFTY ESF-Research Networking Programme, since 2009, Member of the Standing Committee of the Catalan Counsel for the Communication of Science (C4), since 2005. Director of the Barcelona research group on set theory. He has written over 30 research papers on set theory and its applications, as well as some articles for the general public. He is regularly invited to international meetings and conferences.
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Research Interest
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I work mainly in set theory, an extremely general theory whose objects of study are the abstract infinite sets. Set theory provides mathematics with its foundation, in the sense that virtually all of mathematics can be formally reduced to it. I use sophisticated techniques, such as forcing and large cardinals, to try to solve hard problems in set theory and other areas of mathematics. More interestingly, it is sometimes possible to prove that a problem cannot be solved using the standard mathematical tools, and therefore new axioms are required for its solution. Finding and classifying new axioms is also an essential part of my work.
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KeyWords
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Set theory, logic, foundations and philosophy of mathematics.
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ERC Codes
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Foundations of mathematics & logic
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