Saharon Shelah
Saharon Shelah  

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Saharon Shelah in his office in Rutgers University, September 6, 2005. Photo by Andrzej Rosłanowski.


Born  Jerusalem, British Mandate for Palestine 
July 3, 1945
Residence  Jerusalem, Israel 
Nationality  Israel 
Fields  Mathematics 
Institutions  Hebrew University, Rutgers University 
Alma mater  Tel Aviv University (B.Sc) Tel Aviv University (M.Sc.) Hebrew University (Ph.D.) 
Doctoral advisor  Michael O. Rabin 
Doctoral students  Uri Abraham, Shai BenDavid, Rami Grossberg, Menachem Kojman, Mati Rubin^{[1]} 
Known for  Mathematical logic, model theory, set theory 
Notable awards  Erdős Prize (1977) George Pólya Prize (1992) Bolyai Prize (2000) Wolf Prize (2001) Israel Prize (1998) Leroy P. Steele Prize (2013) 
Saharon Shelah (Hebrew: שהרן שלח) is an Israeli mathematician. He is a professor of mathematics at the Hebrew University of Jerusalem and Rutgers University in New Jersey.
Contents
Biography
Shelah was born in Jerusalem on July 3, 1945. He is the son of the Israeli poet and political activist Yonatan Ratosh.^{[2]} He received his PhD for his work on stable theories in 1969 from the Hebrew University.^{[1]}
Shelah is married to Yael,^{[2]} and has three children.^{[3]}
Shelah wanted to be a scientist while at primary school, but initially was attracted to physics and biology, not mathematics.^{[4]} Later he found mathematical beauty in studying geometry: He said, "But when I reached the ninth grade I began studying geometry and my eyes opened to that beauty—a system of demonstration and theorems based on a very small number of axioms which impressed me and captivated me." At the age of 15, he decided to become a mathematician, a choice cemented after reading Abraham Halevy Fraenkel's book "An Introduction to Mathematics".^{[4]}
He received a B.Sc. from Tel Aviv University in 1964, served in the Israel Defense Forces Army between 1964 and 1967, and obtained a M.Sc. from Tel Aviv University in 1967.^{[5]} He then worked as a Teaching Assistant at the Institute of Mathematics of the Hebrew University of Jerusalem while completing a Ph.D. there under the supervision of Michael Oser Rabin,^{[5]} on a study of stable theories.
Shelah was a Lecturer at Princeton University during 196970, and then worked as an Assistant Professor at the University of California, Los Angeles during 197071.^{[5]} He became a professor at Hebrew University in 1974, a position he continues to hold.^{[5]}
He has been a Visiting Professor at the following Universities:^{[5]} the university of Wisconsin (1977–78), the University of California, Berkeley (1978 and 1982), the University of Michigan (1984–85), at Simon Fraser University, Burnaby, British Columbia (1985), and Rutgers University, New Jersey (1985).
He has been a Distinguished Visiting Professor at Rutgers University since 1986.^{[5]}
Academic career
According to the list of Shelah's papers, he had published 1044 mathematical papers up to 2014 (including joint papers with over 220 coauthors).^{[6]} His main interests lie in mathematical logic, model theory in particular, and in axiomatic set theory.
In model theory, he developed classification theory, which led him to a solution of Morley's problem. In set theory, he discovered the notion of proper forcing, an important tool in iterated forcing arguments. With PCF theory, he showed that in spite of the undecidability of the most basic questions of cardinal arithmetic (such as the continuum hypothesis), there are still highly nontrivial ZFC theorems about cardinal exponentiation. Shelah constructed a Kurosh monster, an uncountable group for which every proper subgroup is countable. He showed that Whitehead's problem is independent of ZFC. He gave the first primitive recursive upper bound to van der Waerden's numbers V(C,N). He extended Arrow's impossibility theorem on voting systems.
Awards
 The first recipient of the Erdős Prize, in 1977;^{[7]}
 The Karp Prize of the Association for Symbolic Logic in 1983
 The Israel Prize, for mathematics, in 1998;^{[8]}
 The Bolyai Prize in 2000;^{[9]}
 The Wolf Prize in Mathematics in 2001.^{[10]}
 The EMET prize in 2011.^{[11]}
 The Leroy P. Steele Prize, for Seminal Contribution to Research, in 2013^{[12]}
 Honorary member^{[13]} of the Hungarian Academy of Sciences, in 2013.
 Advanced Grant of the European Research Council (2013).^{[14]}
Selected works
 Proper forcing, Springer 1982
 Proper and improper forcing (2nd edition of Proper forcing), Springer 1998
 Around classification theory of models, Springer 1986
 Classification theory and the number of nonisomorphic models, Studies in Logic and the Foundations of Mathematics, 1978,^{[15]} 2nd edition 1990, Elsevier
 Cardinal Arithmetic, Oxford University Press 1994^{[16]}
See also
References
 ↑ ^{1.0} ^{1.1} Saharon Shelah at the Mathematics Genealogy Project
 ↑ ^{2.0} ^{2.1} (Hebrew) Shelah, Saharon (20010405). "זיכרונותיו של בן" [Memoirs of a Son]. Haaretz. Retrieved 20140831.
כשעמדתי להציג לפני חברתי יעל (עתה רעייתי) את בני משפחתי...הפרופ' שהרן שלח מן האוניברסיטה העברית בירושלים, בנו של יונתן רטוש... [As I was about to present to friend Yael (now my wife), my family ... Professor Saharon Shelah of the Hebrew University of Jerusalem, son of Yonathan Ratosh ...]
<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>  ↑ (Hungarian) Réka, Szász (March 2001). "Harc a matematikával és a titkárnőkkel". Magyar Tudományos (in magyar). Retrieved 20140831.
Hungarian: A gyerekei mivel foglalkoznak? A nagyobbik fiam zeneelméletet tanul, a lányom történelmet, a kisebbik fiam pedig biológiát. (What are your children doing? My elder son is learning the theory of music, my daughter history, my younger son biology.)
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ignored (help)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>  ↑ ^{4.0} ^{4.1} Moshe Klein. "Interview with Saharon Shelah" (PDF). Gan Adam. Retrieved 20140805.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ ^{5.0} ^{5.1} ^{5.2} ^{5.3} ^{5.4} ^{5.5} "Saharon Shelah". School of Mathematics and Statistics, University of St Andrews, Scotland. Retrieved 20140805.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ "Hyperlinked list of Shelah's papers". Retrieved 20140805.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ "Erdős Prize Website". IMU.org.il.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ "Israel Prize Official Site – Recipients in 1998 (in Hebrew)". CMS.education.gov.il. Retrieved 20140831.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ "Laudation of Shelah on the occasion of winning the Bolyai Prize (in Hungarian)" (PDF). Renyi.hu. Retrieved 20140831.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ "The Wolf Foundation Prize in Mathematics". Wolf Foundation. 2008. Retrieved 20140831.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ "EMET Prize". 2011. Retrieved 20140831.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ "January 2013 Prizes and Awards" (PDF). American Mathematical Society and Mathematical Association of America. January 10, 2013. p. 49. Retrieved 20140831.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ "New members of the Hungarian Academy of Sciences". Retrieved 20140831.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ "ERC Grants 2013" (PDF). European Research Council. 2013. Retrieved 20140831.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
 ↑ Lua error in Module:Citation/CS1/Identifiers at line 47: attempt to index field 'wikibase' (a nil value).
 ↑ Lua error in Module:Citation/CS1/Identifiers at line 47: attempt to index field 'wikibase' (a nil value).
External links
 Archive of Shelah's mathematical papers, shelah.logic.at
 John T. Baldwin (July 7, 2006). "Abstract Elementary Classes: Some Answers, More Questions" (PDF). math.uic.ed.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles> A survey of recent work on AECs.
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 1945 births
 20thcentury mathematicians
 21stcentury mathematicians
 Hebrew University of Jerusalem alumni
 Hebrew University of Jerusalem faculty
 Israel Prize in mathematics recipients
 Israeli Jews
 Israeli mathematicians
 ISI highly cited researchers
 Jewish scientists
 Living people
 Members of the Hungarian Academy of Sciences
 Members of the Israel Academy of Sciences and Humanities
 Model theorists
 Rutgers University faculty
 Set theorists
 Wolf Prize in Mathematics laureates