Alfred Jacobus (Alf) van der Poorten (16 May 1942 – 9 October 2010) was a Dutch-Australian
number theorist, for many years on the mathematics faculties of the
University of New South Wales
The University of New South Wales (UNSW), also known as UNSW Sydney, is a public research university based in Sydney, New South Wales, Australia. It is one of the founding members of Group of Eight, a coalition of Australian research-intensive ...
and
Macquarie University
Macquarie University ( ) is a public research university based in Sydney, Australia, in the suburb of Macquarie Park. Founded in 1964 by the New South Wales Government, it was the third university to be established in the metropolitan area of S ...
.
[.][.][.]
Biography
Van der Poorten was born into a Jewish family in Amsterdam in 1942, after the German occupation began. His parents, David and Marianne van der Poorten, gave him into foster care with the Teerink family in
Amersfoort
Amersfoort () is a city and municipality in the province of Utrecht, Netherlands, about 20 km from the city of Utrecht and 40 km south east of Amsterdam. As of 1 December 2021, the municipality had a population of 158,531, making it the second- ...
, under the name "Fritsje"; the senior van der Poortens went into hiding, were caught by the Nazis, survived the
concentration camps
Internment is the imprisonment of people, commonly in large groups, without charges or intent to file charges. The term is especially used for the confinement "of enemy citizens in wartime or of terrorism suspects". Thus, while it can simply ...
, and were reunited with van der Poorten and his two sisters after the war. The family moved to Sydney in 1951, travelling there aboard the
SS Himalaya.
Van der Poorten studied at
Sydney Boys High School
Sydney Boys High School (”SBHS”), otherwise known as The Sydney High School (“SHS”) or High, is a Education in Australia#Government schools, government-funded Single-sex school, single-sex Selective school (New South Wales), academically s ...
from 1955–59, and earned a high score in the Leaving Certificate Examination there. He spent a year in
Israel
Israel (; he, יִשְׂרָאֵל, ; ar, إِسْرَائِيل, ), officially the State of Israel ( he, מְדִינַת יִשְׂרָאֵל, label=none, translit=Medīnat Yīsrāʾēl; ), is a country in Western Asia. It is situated ...
and then studied mathematics at the University of New South Wales, where he earned a bachelor's degree in 1965, a doctorate in 1968 under the joint supervision of
George Szekeres
George Szekeres AM FAA (; 29 May 1911 – 28 August 2005) was a Hungarian–Australian mathematician.
Early years
Szekeres was born in Budapest, Hungary, as Szekeres György and received his degree in chemistry at the Technical University o ...
and
Kurt Mahler
Kurt Mahler FRS (26 July 1903, Krefeld, Germany – 25 February 1988, Canberra, Australia) was a German mathematician who worked in the fields of transcendental number theory, diophantine approximation, ''p''-adic analysis, and the geometry of ...
, and a
Master of Business Administration
A Master of Business Administration (MBA; also Master's in Business Administration) is a postgraduate degree focused on business administration. The core courses in an MBA program cover various areas of business administration such as accounti ...
. While a student at UNSW, he led the student union council and was president of the University Union, as well as helping to lead several Jewish and
Zionist
Zionism ( he, צִיּוֹנוּת ''Tsiyyonut'' after ''Zion'') is a nationalist movement that espouses the establishment of, and support for a homeland for the Jewish people centered in the area roughly corresponding to what is known in Je ...
student organisations. He also helped to manage the university's cooperative bookstore, where he met and in 1972 married another bookstore manager, Joy FitzRoy.
On finishing his studies in 1969, van der Poorten joined the UNSW faculty as a lecturer in pure mathematics. He became senior lecturer in 1972 and associate professor in 1976. In 1979 he moved to Macquarie University to become full professor and head of the School of Mathematics, Physics, Computing and Electronics, an administrative role that he served until 1987 and then resumed from 1991 to 1996. From 1991 onwards he also directed the Centre for Number Theory Research at Macquarie. He retired in 2002.
In 1973, van der Poorten founded the ''Australian Mathematical Society Gazette'', and he continued to edit it until 1977.
He
was elected president of the
Australian Mathematical Society
The Australian Mathematical Society (AustMS) was founded in 1956 and is the national society of the mathematics profession in Australia. One of the Society's listed purposes is to promote the cause of mathematics in the community by representing ...
in 1996.
Van der Poorten was also active in
science fiction fandom
Science fiction fandom or SF fandom is a community or fandom of people interested in science fiction in contact with one another based upon that interest. SF fandom has a life of its own, but not much in the way of formal organization (although ...
, beginning in the mid-1960s. He was an early member of the Sydney Science Fiction Foundation, attended the first SynCon in 1970, became friends with ''
Locus
Locus (plural loci) is Latin for "place". It may refer to:
Entertainment
* Locus (comics), a Marvel Comics mutant villainess, a member of the Mutant Liberation Front
* ''Locus'' (magazine), science fiction and fantasy magazine
** ''Locus Award' ...
'' publisher
Charles N. Brown and (with psychologist Tom Newlyn) was known as one of "Sydney's terrible twins". His
fannish activities significantly lessened by the late 1970s, but as late as 1999 he was a member of the
57th World Science Fiction Convention in Sydney where he helped operate the ''Locus'' table.
Research
Van der Poorten was the author of approximately 180 publications in number theory, on subjects that included
Baker's theorem
In transcendental number theory, a mathematical discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms of algebraic numbers. The result, proved by , subsumed many earlier results in transcendent ...
,
continued fraction
In mathematics, a continued fraction is an expression (mathematics), expression obtained through an iterative process of representing a number as the sum of its integer part and the multiplicative inverse, reciprocal of another number, then writ ...
s,
elliptic curve
In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If ...
s,
regular language
In theoretical computer science and formal language theory, a regular language (also called a rational language) is a formal language that can be defined by a regular expression, in the strict sense in theoretical computer science (as opposed to ...
s, the
integer sequence
In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers.
An integer sequence may be specified ''explicitly'' by giving a formula for its ''n''th term, or ''implicitly'' by giving a relationship between its terms. For ...
s derived from
recurrence relation
In mathematics, a recurrence relation is an equation according to which the nth term of a sequence of numbers is equal to some combination of the previous terms. Often, only k previous terms of the sequence appear in the equation, for a parameter ...
s, and
transcendental number
In mathematics, a transcendental number is a number that is not algebraic—that is, not the root of a non-zero polynomial of finite degree with rational coefficients. The best known transcendental numbers are and .
Though only a few classes ...
s. Some of his significant results include the 1988 solution of Pisot's conjecture on the rationality of Hadamard quotients of
rational functions
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rati ...
, his 1992 work with
Bernard Dwork
Bernard Morris Dwork (May 27, 1923 – May 9, 1998) was an American mathematician, known for his application of ''p''-adic analysis to local zeta functions, and in particular for a proof of the first part of the Weil conjectures: the rationality ...
on the Eisenstein constant, his work with
Enrico Bombieri
Enrico Bombieri (born 26 November 1940, Milan) is an Italian mathematician, known for his work in analytic number theory, Diophantine geometry, complex analysis, and group theory. Bombieri is currently Professor Emeritus in the School of Mathema ...
on
Diophantine approximation
In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus of Alexandria.
The first problem was to know how well a real number can be approximated by r ...
of
algebraic number
An algebraic number is a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients. For example, the golden ratio, (1 + \sqrt)/2, is an algebraic number, because it is a root of the po ...
s, and his 1999 paper with Kenneth Stuart Williams on the
Chowla–Selberg formula
In mathematics, the Chowla–Selberg formula is the evaluation of a certain product of values of the gamma function at rational values in terms of values of the Dedekind eta function at imaginary quadratic irrational numbers. The result was essent ...
. He had many co-authors, the most frequent being his colleague John H. Loxton, who joined the UNSW faculty in 1972 and who later like van der Poorten moved to Macquarie.
As well as publishing his own research, van der Poorten was noted for his expository writings, among them a paper on
Apéry's theorem
In mathematics, Apéry's theorem is a result in number theory that states the Apéry's constant ζ(3) is irrational. That is, the number
:\zeta(3) = \sum_^\infty \frac = \frac + \frac + \frac + \cdots = 1.2020569\ldots
cannot be written as a fract ...
on the irrationality of ζ(3) and his book on
Fermat's Last Theorem
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers , , and satisfy the equation for any integer value of greater than 2. The cases and have been k ...
.
Awards and honours
Van der Poorten received the Australian Youth Citizenship
Award in 1966 for his student leadership activities.
He became a member of the
Order of Australia
The Order of Australia is an honour that recognises Australian citizens and other persons for outstanding achievement and service. It was established on 14 February 1975 by Elizabeth II, Queen of Australia, on the advice of the Australian Gove ...
in 2004.
With
Ian Sloan, van der Poorten was awarded one of two of the inaugural George Szekeres Medals of the
Australian Mathematical Society
The Australian Mathematical Society (AustMS) was founded in 1956 and is the national society of the mathematics profession in Australia. One of the Society's listed purposes is to promote the cause of mathematics in the community by representing ...
in 2002, and he became an honorary member of the society in 2009.
Selected publications
* .
* .
* . Corrected in ''Duke Math. J.'' 76 (2): 669–672, 1994, .
* .
* . Corrected in ''Can. J. Math.'' 53 (2): 434–438, 2001, .
*Co-authore
Recurrence Sequenceswith
Graham Everest
Graham Robert Everest (14 December 1957 in Southwick, West Sussex – 30 July 2010) was a British mathematician working on arithmetic dynamics and Recurrence relation, recursive equations in number theory.
Life
Everest studied at Bedford College ...
,
Thomas Ward, and Igor Shparlinski: American Math. Society (2003)
References
{{DEFAULTSORT:Van der Poorten, Alfred Jacobus
1942 births
2010 deaths
Number theorists
Fermat's Last Theorem
Members of the Order of Australia
Poorten, Alfred van der
University of New South Wales alumni
University of New South Wales faculty
Macquarie University faculty
Poorten, Alfred van der
Australian people of Dutch-Jewish descent
Australian Zionists
People educated at Sydney Boys High School
20th-century Australian mathematicians
21st-century Australian mathematicians