Saharon Shelah


Saharon Shelah

Infobox_Scientist
name = Saharon Shelah



image_width = 300px
caption = Professor Saharon Shelah in Jerusalem, March 2008
birth_date = Birth date and age|1945|7|3
birth_place = Jerusalem
residence = Jerusalem, Israel
nationality = ISR
ethnicity = Jewish
field = Mathematician
work_institution = Hebrew University, Rutgers University
alma_mater = Hebrew University
doctoral_advisor = Michael O. Rabin
doctoral_students = Mati Rubin, Uri Abraham, Menachem Kojman
known_for = Mathematical logic, Model theory, Set theory
prizes = Wolf Prize, Israel prize
footnotes = Son of Yonatan Ratosh

Saharon Shelah ( _he. שהרן שלח, born July 3, 1945 in Jerusalem) is an Israeli mathematician. He is a professor of mathematics at the Hebrew University of Jerusalem and also at Rutgers University in New Jersey, U.S.. Shelah's main interest lies in mathematical logic, in particular in model theory and set theory.

He received his Ph.D. in 1969 from the Hebrew University. [MathGenealogy |id=22575]

Shelah is one of the most prolific contemporary mathematicians. As of 2006, he had (together with over 200 co-authors) published nearly 900 mathematical papers. Among his most important results are:

* in model theory, the introduction and development of his "classification theory", which led him to a solution of Morley's problem
* in set theory,
** the invention of the notion of "proper forcing", an important tool in iterated forcing arguments
** PCF theory, which shows that in spite of the undecidability of the most basic questions of cardinal arithmetic (such as the continuum hypothesis), there are highly nontrivial ZFC theorems about cardinal exponentiation, after all.

Shelah also solved several outstanding questions from other fields, among them:
* He 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.

Shelah was awarded the Bolyai prize in 2000.

Shelah is the son of the Israeli poet and political activist Yonatan Ratosh.he icon cite web | url=http://www.haaretz.co.il/hasite/pages/ShArt.jhtml?itemNo=24880 | title= _he. זיכרונותיו של בן (Memoirs of a Son) | last=Shelah | first=Saharon | date=2001-04-05 | publisher=Haaretz | quote= _he. כשעמדתי להציג לפני חברתי יעל (עתה רעייתי) את בני משפחתי…הפרופ' שהרן שלח מן האוניברסיטה העברית בירושלים, בנו של יונתן רטוש…] He is married to Yael, and has three children. [hu icon cite web | url=http://www.matud.iif.hu/01mar/shelah.html | title= _hu. Harc a matematikával és a titkárnőkkel | last=Réka | first=Szász | year=2001 | month=March | work=Magyar Tudományos | quote=Lang-hu|A gyerekei mivel foglalkoznak? A nagyobbik fiam zeneelméletet tanul, a lányom történelmet, a kisebbik fiam pedig biológiát. What are your children doing? My oldest son is learning the theory of music, my daughter history, my youngest son biology.]

References

External links

* [http://shelah.logic.at Archive of Shelah's mathematical papers]

Persondata
NAME= Shelah, Saharon
ALTERNATIVE NAMES=
SHORT DESCRIPTION= Israeli Mathematician
DATE OF BIRTH= July 3, 1945
PLACE OF BIRTH= Jerusalem, Israel
DATE OF DEATH=
PLACE OF DEATH=


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  • Saharon Shelah — Saltar a navegación, búsqueda Saharon Shelah Profesor Saharon Shelah en Jerusalem, Marzo 2008 Nacimiento …   Wikipedia Español

  • Saharon Shelah — (hebräisch ‏שהרן שלח‎; * 3. Juli 1945 in Jerusalem) ist ein israelischer Mathematiker. Er ist Professor an der Hebräischen Universität in Jerusalem sowie an der Rutgers University in New Jersey, USA. Shelah arbeitet auf dem Gebiet der… …   Deutsch Wikipedia

  • Saharon Shelah — (שהרן שלח) (né le 3 juillet 1945 à Jérusalem) est un mathématicien israélien. Il est professeur à l’université Hébraïque à Jérusalem et à l’université Rutgers à New Jersey aux États Unis. Shelah travaille dans la matière de la logique m …   Wikipédia en Français

  • Saharon Schelah — Saharon Shelah (* 3. Juli 1945 in Jerusalem) ist ein israelischer Mathematiker. Er ist Professor an der Hebräischen Universität in Jerusalem sowie an der Rutgers University in New Jersey, USA. Shelah arbeitet auf dem Gebiet der mathematischen… …   Deutsch Wikipedia

  • Shelah — Saharon Shelah (* 3. Juli 1945 in Jerusalem) ist ein israelischer Mathematiker. Er ist Professor an der Hebräischen Universität in Jerusalem sowie an der Rutgers University in New Jersey, USA. Shelah arbeitet auf dem Gebiet der mathematischen… …   Deutsch Wikipedia

  • Shelah — Shelah, Shela, Chelah ou Chela (hébreu: שֵׁלָה, Pétition , prononcé shŠela en hébreu moderne, ṣŠēlāh selon la vocalisation tibérienne) est un nom hébraïque pouvant faire référence: à Shélah, le père d Eber, ancêtre d Abraham[1]. Selon le texte… …   Wikipédia en Français

  • Shelah (name) — Shelah is the latin transcription of two Hebrew names, sh l h ().In modern times, Shelah (in the form sh l ch) has become a surname, as exemplified by Saharon Shelah (b. 1945 Israel). Notes …   Wikipedia

  • SHELAH, SAHARON — (1945– ), Israeli mathematician. Born in Jerusalem, Shelah received his Ph.D. in mathematics from the Hebrew University of Jerusalem (1969). He was simultaneously professor of mathematics at the Hebrew University and Rutgers University, New… …   Encyclopedia of Judaism

  • PCF theory — is the name of a mathematical theory, introduced by Saharon Shelah (1978), that deals with the cofinality of the ultraproducts of ordered sets. It gives strong upper bounds on the cardinalities of power sets of singular cardinals, and has… …   Wikipedia

  • Whitehead problem — In group theory, a branch of abstract algebra, the Whitehead problem is the following question::Is every abelian group A with Ext1( A , Z) = 0 a free abelian group?Abelian groups satisfying this condition are sometimes called Whitehead groups, so …   Wikipedia


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