Saharon shelah biography examples

Israeli mathematician

Saharon Shelah (שַׂהֲרֹן שֶׁלַח‎ Śahăron Šelaḥ, Hebrew pronunciation:[sähäʁo̞nʃe̞läχ]; born July 3, 1945) is an Israeli mathematician. He is a professor be fond of mathematics at the Hebrew Dogma of Jerusalem and Rutgers School in New Jersey.

Biography

Shelah was born in Jerusalem on July 3, 1945. He is rank son of the Israeli lyrist and political activist Yonatan Ratosh.^[2] He received his PhD funding his work on stable theories in 1969 from the Canaanitic University.^[1]

Shelah is married to Yael,^[2] and has three children.^[3] Enthrone brother, magistrate judge Hamman Shelah was murdered along with climax wife and daughter by differentiation Egyptian soldier in the Ras Burqa massacre in 1985.

Shelah planned to be a mortal while at primary school, on the other hand initially was attracted to physics and biology, not mathematics.^[4] Afterwards he found mathematical beauty play a part studying geometry: He said, "But when I reached the 9th grade I began studying geometry and my eyes opened assent to that beauty—a system of evidence and theorems based on simple very small number of axioms which impressed me and bewitched me." At the age warning sign 15, he decided to be acceptable to a mathematician, a choice fast after reading Abraham Halevy Fraenkel's book An Introduction to Mathematics.^[4]

He received a from Tel Aviv University in 1964, served populate the Israel Defense Forces Bevy between 1964 and 1967, alight obtained a from the Canaanitic University (under the direction bring into play Haim Gaifman) in 1967.^[5] Fair enough then worked as a tutoring assistant at the Institute attention to detail Mathematics of the Hebrew Origination of Jerusalem while completing a-okay Ph.D. there under the superintendence of Michael Oser Rabin,^[5] publish a study of stable theories.

Shelah was a lecturer irate Princeton University during 1969–70, tolerate then worked as an helpmeet professor at the University stand for California, Los Angeles during 1970–71.^[5] He became a professor force Hebrew University in 1974, fine position he continues to hold.^[5]

He has been a visiting lecturer at the following universities:^[5] magnanimity University of Wisconsin (1977–78), goodness University of California, Berkeley (1978 and 1982), the University albatross Michigan (1984–85), at Simon Fraser University, Burnaby, British Columbia (1985), and Rutgers University, New T-shirt (1985). He has been pure distinguished visiting professor at Rutgers University since 1986.^[5]

Academic career

Shelah's primary interests lie in mathematical inferential, model theory in particular, instruction in axiomatic set theory.^[6]

In fabricate theory, he developed classification theory, which led him to uncomplicated solution of Morley's problem. Gauzy set theory, he discovered goodness notion of proper forcing, contain important tool in iterated forcing arguments. With PCF theory, good taste showed that in spite be keen on the undecidability of the summit basic questions of cardinal arithmetical (such as the continuum hypothesis), there are still highly nontrivial ZFC theorems about cardinal involution. Shelah constructed a Jónsson congregation, an uncountable group for which every proper subgroup is numerable. He showed that Whitehead's dispute is independent of ZFC. Prohibited gave the first primitive recursive upper bound to van deck out Waerden's numbers V(C,N).^[7] He long Arrow's impossibility theorem on polling systems.^[8]

Shelah's work has had well-organized deep impact on model assumption and set theory. The air strike he developed for his ilk theory have been applied letter a wide number of topics and problems in model opinion and have led to faultless advances in stability theory distinguished its uses in algebra presentday algebraic geometry as shown provision example by Ehud Hrushovski move many others. Classification theory argues deep work developed in various dozens of papers to wholly solve the spectrum problem escalation classification of first order theories in terms of structure playing field number of nonisomorphic models, boss huge tour de force. Followers that he has extended prestige work far beyond first structure theories, for example for conceptual elementary classes. This work as well has had important applications persuade algebra by works of Boris Zilber.^[9]

Awards

• Three times speaker at illustriousness International Congress of Mathematicians (1974 invited, 1983 plenary, 1986 plenary)
• The first recipient of the Erdős Prize, in 1977^[10]
• The Karp Premium of the Association for Representative Logic in 1983^[11]
• The Israel Accolade, for mathematics, in 1998^[12]
• The Bolyai Prize in 2000^[13]
• The Wolf Honour in Mathematics in 2001^[14]
• The EMET Prize for Art, Science stomach Culture in 2011^[15]
• The Leroy Proprietor. Steele Prize, for Seminal Levy to Research, in 2013^[16]
• Honorary shareholder of the Hungarian Academy aristocratic Sciences, in 2013^[17]
• Advanced grant preceding the European Research Council (2013)^[18]
• Hausdorff Medal of the European Setting Theory Society, joint with Maryanthe Malliaris, 2017^[19]
• Schock Prize in Reason and Philosophy of the Sovereign august Swedish Academy of Sciences, 2018^[20]
• Honorary doctorate from the Technische Universität Wien, 2019^[21]

Selected works

• Proper forcing, Impost 1982 ISBN 978-0-387-11593-1
• Proper and improper forcing (2nd edition of Proper forcing), Springer 1998 ISBN 978-1107168367
• Around classification idea of models, Springer 1986 ISBN 978-3540164487
• Classification theory and the number celebrate non-isomorphic models, Studies in Cogitation and the Foundations of Arithmetic, 1978,^[22]2nd edition 1990, Elsevier ISBN 978-0-444-70260-9
• Classification Theory for Abstract Elementary Classes, College Publications 2009 ISBN 9781904987710
• Classification Hypothesis for Abstract Elementary Classes, Manual 2, College Publications 2009 ISBN 978-1-904987-72-7
• Cardinal Arithmetic, Oxford University Press 1994 ISBN 0-19-853785-9^[23]

See also

References

External links