Alf Van Der Poorten
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Alfred Jacobus (Alf) van der Poorten (16 May 1942 – 9 October 2010) was a Dutch-Australian
number theorist A number is a mathematical object used to count, measure, and label. The most basic examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can ...
, for many years on the mathematics faculties of the
University of New South Wales The University of New South Wales (UNSW) is a public research university based in Sydney, New South Wales, Australia. It was established in 1949. The university comprises seven faculties, through which it offers bachelor's, master's and docto ...
and
Macquarie University Macquarie University ( ) is a Public university, public research university in Sydney, New South Wales, Australia. Founded in 1964 by the New South Wales Government, it was the third university to be established in the Sydney metropolitan area. ...
....


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 Cities of the Netherlands, city and List of municipalities of the Netherlands, municipality in the Provinces of the Netherlands, province of Utrecht (province), Utrecht, Netherlands. As of 31 January 2023, the municipality had ...
, under the name "Fritsje"; the senior van der Poortens went into hiding, were caught by the Nazis, survived the
concentration camps A concentration camp is a prison or other facility used for the internment of political prisoners or politically targeted demographics, such as members of national or ethnic minority groups, on the grounds of national security, or for exploit ...
, 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 . Van der Poorten studied at
Sydney Boys High School Sydney Boys High School ('SBHS'), otherwise known as Sydney High School ('SHS') or simply High, is an Australian government-funded single-sex academically selective secondary day school for boys, located at Moore Park, New South Wales, a s ...
from 1955 to 1959, and earned a high score in the Leaving Certificate Examination there. He spent a year in
Israel Israel, officially the State of Israel, is a country in West Asia. It Borders of Israel, shares borders with Lebanon to the north, Syria to the north-east, Jordan to the east, Egypt to the south-west, and the Mediterranean Sea to the west. Isr ...
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 of ...
and
Kurt Mahler Kurt Mahler FRS (26 July 1903 – 25 February 1988) was a German mathematician who worked in the fields of transcendental number theory, diophantine approximation, ''p''-adic analysis, and the geometry of numbers.
, and a
Master of Business Administration A Master of Business Administration (MBA) is a professional degree focused on business administration. The core courses in an MBA program cover various areas of business administration; elective courses may allow further study in a particular ...
. 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 is an Ethnic nationalism, ethnocultural nationalist movement that emerged in History of Europe#From revolution to imperialism (1789–1914), Europe in the late 19th century that aimed to establish and maintain a national home for the ...
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: Mathematics and science * Locus (mathematics), the set of points satisfying a particular condition, often forming a curve * Root locus analysis, a diagram visualizing the position of r ...
'' publisher
Charles N. Brown Charles Nikki Brown (June 24, 1937 – July 12, 2009) was an American publishing editor, the co-founder and editor of '' Locus'', the long-running news and reviews magazine covering the genres of science fiction and fantasy literature. Brown was ...
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 The 57th World Science Fiction Convention (Worldcon), also known as Aussiecon Three, was held on 2–6 September 1999 at the Melbourne Convention and Exhibition Centre in Melbourne, Australia. The convention was chaired by Perry Middlemiss. ...
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. Nearly fifteen years earlier, Alexander Gelfond had considered the pr ...
,
continued fraction A continued fraction is a mathematical expression that can be written as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple fraction or not, ...
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 the ...
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 real or complex number that is not algebraic: that is, not the root of a non-zero polynomial with integer (or, equivalently, rational) coefficients. The best-known transcendental numbers are and . ...
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 ra ...
, 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) 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 Mathematics ...
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 ...
of
algebraic number In mathematics, an algebraic number is a number that is a root of a function, root of a non-zero polynomial in one variable with integer (or, equivalently, Rational number, rational) coefficients. For example, the golden ratio (1 + \sqrt)/2 is ...
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 essenti ...
. 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 fracti ...
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 number, positive integers , , and satisfy the equation for any integer value of greater than . The cases ...
.


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 Australian honours and awards system, Australian honour that recognises Australian citizens and other persons for outstanding achievement and service. It was established on 14 February 1975 by Elizabeth II, Monarch ...
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 Sequences
with Graham Everest, 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 Academic staff of the University of New South Wales Academic staff of Macquarie University 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