A.O.L. Atkin
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Arthur Oliver Lonsdale Atkin (31 July 1925 – 28 December 2008), who published under the name A. O. L. Atkin, was a British mathematician. After matriculating from Cambridge University at the age of 16. Atkin worked at Bletchley Park
cracking Cracking may refer to: * Cracking, the formation of a fracture or partial fracture in a solid material studied as fracture mechanics ** Performing a sternotomy * Fluid catalytic cracking, a catalytic process widely used in oil refineries for crac ...
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codes during World War 2. He received his
Ph.D. A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
in 1952 from the
University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
, where he was one of John Littlewood's research students. In 1952 he moved to
Durham University Durham University (legally the University of Durham) is a collegiate university, collegiate public university, public research university in Durham, England, founded by an Act of Parliament (UK), Act of Parliament in 1832 and incorporated by r ...
as a lecturer in mathematics. During 1964–1970, he worked at the
Atlas Computer Laboratory The Atlas Computer Laboratory on the Harwell, Oxfordshire campus shared by the Harwell Laboratory was one of the major computer laboratories in the world, which operated between 1961 and 1975 to provide a service to British scientists at a tim ...
at Chilton, computing modular functions. Toward the end of his life, he was
Professor Emeritus ''Emeritus/Emerita'' () is an honorary title granted to someone who retirement, retires from a position of distinction, most commonly an academic faculty position, but is allowed to continue using the previous title, as in "professor emeritus". ...
of
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 ...
at the
University of Illinois at Chicago The University of Illinois Chicago (UIC) is a public research university in Chicago, Illinois, United States. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the Universi ...
. Atkin, along with
Noam Elkies Noam David Elkies (born August 25, 1966) is a professor of mathematics at Harvard University. At age 26, he became the youngest professor to receive tenure at Harvard. He is also a pianist, chess national master, and chess composer. Early life ...
, extended
Schoof's algorithm Schoof's algorithm is an efficient algorithm to count points on elliptic curves over finite fields. The algorithm has applications in elliptic curve cryptography where it is important to know the number of points to judge the difficulty of solving ...
to create the
Schoof–Elkies–Atkin algorithm The Schoof–Elkies–Atkin algorithm (SEA) is an algorithm used for finding the order of or calculating the number of points on an elliptic curve over a finite field. Its primary application is in elliptic curve cryptography. The algorithm is an ex ...
. Together with Daniel J. Bernstein, he developed the
sieve of Atkin In mathematics, the sieve of Atkin is a modern algorithm for finding all prime numbers up to a specified integer. Compared with the ancient sieve of Eratosthenes, which marks off multiples of primes, the sieve of Atkin does some preliminary work ...
. Atkin is also known for his work on properties of the integer partition function and the monster module. He was a vocal fan of using computers in mathematics, so long as the end goal was theoretical advance: "Each new generation of machines makes feasible a whole new range of computations; provided mathematicians pursue these rather than merely break old records for old sports, computation will have a significant part to play in the development of mathematics." Atkin died of
nosocomial pneumonia Hospital-acquired pneumonia (HAP) or nosocomial pneumonia refers to any pneumonia contracted by a patient in a hospital at least 48–72 hours after being admitted. It is thus distinguished from community-acquired pneumonia. It is usually caused ...
on 28 December 2008, in
Maywood, Illinois Maywood is a village in Cook County, Illinois, United States, in the Chicago metropolitan area. It was founded on April 6, 1869, and organized October 22, 1881. The population was 23,512 at the 2020 census. History There was limited European-Am ...
.


Selected publications

* *Atkin, A. O. L. and Morain, F. "Elliptic Curves and Primality Proving." Math. Comput. 61, 29–68, 1993. *Atkin, A. O. L. and Bernstein, D. J
''Prime sieves using binary quadratic forms''
Math. Comp. 73 (2004), 1023–103


See also

* Primality certificate#Atkin–Goldwasser–Kilian–Morain certificates, Atkin–Goldwasser–Kilian–Morain certificates * Atkin–Lehner theory *
Elliptic curve primality proving In mathematics, elliptic curve primality testing techniques, or elliptic curve primality proving (ECPP), are among the quickest and most widely used methods in primality proving. It is an idea put forward by Shafi Goldwasser and Joe Kilian in 1986 ...


References


External links


Atkin's university webpage

Atkin's info at The Prime Pages
{{DEFAULTSORT:Atkin, A. O. L. 1925 births 2008 deaths 20th-century American mathematicians 21st-century American mathematicians 20th-century British mathematicians 21st-century British mathematicians Number theorists University of Illinois Chicago faculty Alumni of the University of Cambridge Deaths from pneumonia in Illinois Bletchley Park people Academics of Durham University