David Geoffrey Cantor (April 12, 1935 – November 19, 2012) was an American mathematician, specializing in
number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Math ...
and
combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many a ...
. The
Cantor–Zassenhaus algorithm In computational algebra, the Cantor–Zassenhaus algorithm is a method for factoring polynomials over finite fields (also called Galois fields).
The algorithm consists mainly of exponentiation and polynomial GCD computations. It was invented by ...
for factoring polynomials is named after him; he and
Hans Zassenhaus
Hans Julius Zassenhaus (28 May 1912 – 21 November 1991) was a German mathematician, known for work in many parts of abstract algebra, and as a pioneer of computer algebra.
Biography
He was born in Koblenz in 1912.
His father was a historian and ...
published it in 1981.
Biography
Cantor was born on April 12, 1935.
He completed his undergraduate studies at the
California Institute of Technology
The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...
, graduating in 1956, and earned his doctorate from 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. UCLA's academic roots were established in 1881 as a Normal school, teachers colle ...
(UCLA) in 1960, where he was supervised by
Basil Gordon
Basil Gordon (December 23, 1931 – January 12, 2012) was a mathematician at UCLA, specializing in number theory and combinatorics. He obtained his Ph.D. at California Institute of Technology under the supervision of Tom Apostol. Ken Ono was one ...
and
Ernst G. Straus
Ernst Gabor Straus (February 25, 1922 – July 12, 1983) was a German- American mathematician of Jewish origin who helped found the theories of Euclidean Ramsey theory and of the arithmetic properties of analytic functions. His extensive list of c ...
.
[In Memoriam: David G. Cantor Professor of Mathematics, 1935 - 2012](_blank)
UCLA Department of Mathematics, retrieved 2014-12-18. He became an assistant professor at the
University of Washington
The University of Washington (UW, simply Washington, or informally U-Dub) is a public research university in Seattle, Washington.
Founded in 1861, Washington is one of the oldest universities on the West Coast; it was established in Seat ...
in 1962, moved back to UCLA in 1964, and retired in 1991. After his retirement, he worked at the Center for Communications Research in
La Jolla, California
La Jolla ( , ) is a hilly, seaside neighborhood within the city of San Diego, California, United States, occupying of curving coastline along the Pacific Ocean. The population reported in the 2010 census was 46,781.
La Jolla is surrounded on ...
.
Cantor specialized in
number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Math ...
and
combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many a ...
.
The
Cantor–Zassenhaus algorithm In computational algebra, the Cantor–Zassenhaus algorithm is a method for factoring polynomials over finite fields (also called Galois fields).
The algorithm consists mainly of exponentiation and polynomial GCD computations. It was invented by ...
for factoring polynomials is named after him; he and
Hans Zassenhaus
Hans Julius Zassenhaus (28 May 1912 – 21 November 1991) was a German mathematician, known for work in many parts of abstract algebra, and as a pioneer of computer algebra.
Biography
He was born in Koblenz in 1912.
His father was a historian and ...
published it in 1981. He received the
National Science Foundation
The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National ...
Postdoctoral Fellowship in 1960 and a
Sloan Foundation Fellowship
Sloan may refer to:
*Sloan (surname)
*MIT Sloan School of Management at the Massachusetts Institute of Technology, United States
*Sloan (band), a Canadian rock band
* Sloan Digital Sky Survey, a major astronomical survey
**Sloan Great Wall, a gala ...
in 1968.
In 2012, he became one of the inaugural
fellow
A fellow is a concept whose exact meaning depends on context.
In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements.
Within the context of higher education ...
s of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings ...
.
List of Fellows of the American Mathematical Society
retrieved 2014-12-18. At the time of his death, he had been a member of the American Mathematical Society for 54 years.
Cantor lived in San Diego, California
San Diego ( , ; ) is a city on the Pacific Ocean coast of Southern California located immediately adjacent to the Mexico–United States border. With a 2020 population of 1,386,932, it is the List of United States cities by population, eigh ...
. He died on November 19, 2012, at the age of 77.
See also
* Cantor's algorithm
References
1935 births
2012 deaths
20th-century American mathematicians
Combinatorialists
American number theorists
California Institute of Technology alumni
University of California, Los Angeles alumni
University of Washington faculty
University of California, Los Angeles faculty
Fellows of the American Mathematical Society
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