Robert Steinberg (May 25, 1922,
Soroca
Soroca is a city and municipality in northern Moldova, situated on the Dniester River about north of Chișinău. It is the administrative center of the Soroca District.
History
It is known for its well-preserved stronghold, established by t ...
,
Bessarabia
Bessarabia () is a historical region in Eastern Europe, bounded by the Dniester river on the east and the Prut river on the west. About two thirds of Bessarabia lies within modern-day Moldova, with the Budjak region covering the southern coa ...
,
Romania
Romania is a country located at the crossroads of Central Europe, Central, Eastern Europe, Eastern and Southeast Europe. It borders Ukraine to the north and east, Hungary to the west, Serbia to the southwest, Bulgaria to the south, Moldova to ...
(present-day
Moldova
Moldova, officially the Republic of Moldova, is a Landlocked country, landlocked country in Eastern Europe, with an area of and population of 2.42 million. Moldova is bordered by Romania to the west and Ukraine to the north, east, and south. ...
) – May 25, 2014) was a mathematician at the
University of California, Los Angeles
The University of California, Los Angeles (UCLA) is a public university, public Land-grant university, land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school the ...
.
He introduced the
Steinberg representation, the
Lang–Steinberg theorem, the
Steinberg group in
algebraic K-theory
Algebraic ''K''-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called ''K''-groups. These are groups in the sens ...
,
Steinberg's formula in representation theory, and the
Steinberg groups in
Lie theory
In mathematics, the mathematician Sophus Lie ( ) initiated lines of study involving integration of differential equations, transformation groups, and contact (mathematics), contact of spheres that have come to be called Lie theory. For instance, ...
that yield
finite simple group
In mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type, or one of 26 sporadic groups.
The list below gives all finite simple g ...
s over
finite field
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field (mathematics), field that contains a finite number of Element (mathematics), elements. As with any field, a finite field is a Set (mathematics), s ...
s.
Biography
Born in
Soroca
Soroca is a city and municipality in northern Moldova, situated on the Dniester River about north of Chișinău. It is the administrative center of the Soroca District.
History
It is known for its well-preserved stronghold, established by t ...
(then in the
Kingdom of Romania
The Kingdom of Romania () was a constitutional monarchy that existed from with the crowning of prince Karl of Hohenzollern-Sigmaringen as King of Romania, King Carol I of Romania, Carol I (thus beginning the Romanian royal family), until 1947 wit ...
, today in
Moldova
Moldova, officially the Republic of Moldova, is a Landlocked country, landlocked country in Eastern Europe, with an area of and population of 2.42 million. Moldova is bordered by Romania to the west and Ukraine to the north, east, and south. ...
), Steinberg's parents settled in
Canada
Canada is a country in North America. Its Provinces and territories of Canada, ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, making it the world's List of coun ...
very soon after his birth.
Steinberg studied under
Richard Brauer
Richard Dagobert Brauer (February 10, 1901 – April 17, 1977) was a German and American mathematician. He worked mainly in abstract algebra, but made important contributions to number theory. He was the founder of modular representation t ...
and he received his
Ph.D. in
mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
from the
University of Toronto
The University of Toronto (UToronto or U of T) is a public university, public research university whose main campus is located on the grounds that surround Queen's Park (Toronto), Queen's Park in Toronto, Ontario, Canada. It was founded by ...
in 1948. Steinberg joined the Mathematics Department at
UCLA
The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school then known as the southern branch of the C ...
the same year. He retired from UCLA in 1992.
Awards
Steinberg was an
invited speaker at the
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the IMU Abacus Medal (known before ...
in 1966, won the
Steele Prize
The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. Since 1993, there has been a formal division into three categories.
The prizes have b ...
in 1985, was elected to the
United States National Academy of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nati ...
in 1985, and won the
Jeffery–Williams Prize in 1990. In 2003, the ''
Journal of Algebra
''Journal of Algebra'' (ISSN 0021-8693) is an international mathematical research journal in algebra. An imprint of Academic Press, it is published by Elsevier
Elsevier ( ) is a Dutch academic publishing company specializing in scientific, te ...
'' published a special issue to celebrate Robert Steinberg's 80th birthday.
Selected publications
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*
*R. Steinberg
''Collected Papers'' Amer. Math. Soc. (1997), .
References
External links
*
{{DEFAULTSORT:Steinberg, Robert
1922 births
2014 deaths
People from Soroca
Moldovan Jews
Bessarabian Jews
Romanian emigrants to Canada
Canadian people of Moldovan-Jewish descent
American people of Moldovan-Jewish descent
Group theorists
Jewish American scientists
Canadian mathematicians
20th-century American mathematicians
21st-century American mathematicians
University of Toronto alumni
University of California, Los Angeles faculty
Members of the United States National Academy of Sciences
Canadian emigrants to the United States
21st-century American Jews
Canadian people of Moldovan descent