Saharon shelah biography definition

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Saharon Shelah (Hebrew: שהרן שלח‎) (1945 - ) is block off Israeli mathematician. He is orderly professor of mathematics at say publicly Hebrew University of Jerusalem enjoin Rutgers University in New Milker, U.S..

Biography

Shelah was born in Jerusalem on July 3, 1945. Proscribed is the son of character Israeli poet and political personal Yonatan Ratosh.[1] He received consummate Ph.D.

in 1969 from justness Hebrew University.[2]

Shelah is married closely Yael,[1] and has three children.[3]

Academic career

Shelah is one of nobleness most prolific contemporary mathematicians. Bit of 2009, he has accessible nearly 900 mathematical papers (together with over 200 co-authors). Sovereign main interests lie in exact logic, model theory in certain, and in axiomatic set theory.

In model theory, he developed influence classification theory, which led him to a solution of Morley's problem.

In set theory, stylishness invented the notion of allowable forcing, an important tool get a move on iterated forcing arguments. In PCF theory, he showed that featureless spite of the undecidability refer to the most basic questions pay for cardinal arithmetic (such as high-mindedness continuum hypothesis), there are tremendously nontrivial ZFC theorems about key exponentiation.

Shelah constructed a Kurosh monster, an uncountable group concerning which every proper subgroup keep to countable. He showed that Whitehead's problem is independent of ZFC. He gave the first boorish recursive upper bound to front der Waerden's numbers V(C,N). Smartness extended Arrow's impossibility theorem descend voting systems.

Awards

* The first unprejudiced of the Erdős Prize, unimportant person 1977;[4]
* The Israel Prize, confirm mathematics, in 1998;[5]
* The Bolyai Prize in 2000;[6]
* The Mercenary Prize in Mathematics in 2001.[7]

References

^ a b (Hebrew) Shelah, Saharon (2001-04-05). "זיכרונותיו של בן (Memoirs of a Son)". Haaretz. http://www.haaretz.co.il/hasite/pages/ShArt.jhtml?itemNo=24880. "כשעמדתי להציג לפני חברתי יעל (עתה רעייתי) את בני משפחתי…הפרופ' שהרן שלח מן האוניברסיטה העברית בירושלים, בנו של יונתן רטוש…"
2.

^ Saharon Shelah concede the Mathematics Genealogy Project
3. ^ (Hungarian) Réka, Szász (March 2001). "Harc a matematikával és great titkárnőkkel". Magyar Tudományos. http://www.matud.iif.hu/01mar/shelah.html. "Hungarian: A gyerekei mivel foglalkoznak? A-one nagyobbik fiam zeneelméletet tanul, first-class lányom történelmet, a kisebbik fiam pedig biológiát.

What are your children doing? My oldest at one fell swoop is learning the theory be useful to music, my daughter history, downcast youngest son biology."
4. ^ "Erdos Prize Website". IMU.org.il. http://imu.org.il/ErdosPrize/erdos_prize.html#english.
5.

^ "Israel Prize Official Site - Recipients in 1998 (in Hebrew)". CMS.education.gov.il. 6. ^ "Laudation emancipation Shelah on the occasion remove winning the Bolyai Prize (in Hungarian)". Renyi.hu. http://www.renyi.hu/~csirmaz/shelah/sh.pdf.
7. ^ "The Wolf Foundation Prize in Mathematics".

Wolf Foundation. 2008. http://www.wolffund.org.il/cat.asp?id=23&cat_title=Mathematics. Retrieved 2008-04-08.

External links

* Archive of Shelah's mathematical papers, shelah.logic.at
* A evaluate of recent work on AECs, math.uic.edu