Ernst Sejersted Selmer
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Ernst Sejersted Selmer (11 February 1920 – 8 November 2006) was a Norwegian
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, who worked in
number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
, as well as a
cryptologist This is a list of cryptographers. Cryptography is the practice and study of techniques for secure communication in the presence of third parties called adversaries. Pre twentieth century * Al-Khalil ibn Ahmad al-Farahidi: wrote a (now lost) book ...
. The
Selmer group In arithmetic geometry, the Selmer group, named in honor of the work of by , is a group constructed from an isogeny of abelian varieties. Selmer group of an isogeny The Selmer group of an abelian variety ''A'' with respect to an isogeny ''f'' ...
of an
Abelian variety In mathematics, particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a smooth Algebraic variety#Projective variety, projective algebraic variety that is also an algebraic group, i.e., has a group ...
is named after him. His primary contributions to mathematics reside within the field of
diophantine equation ''Diophantine'' means pertaining to the ancient Greek mathematician Diophantus. A number of concepts bear this name: *Diophantine approximation In number theory, the study of Diophantine approximation deals with the approximation of real n ...
s. He started working as a
cryptologist This is a list of cryptographers. Cryptography is the practice and study of techniques for secure communication in the presence of third parties called adversaries. Pre twentieth century * Al-Khalil ibn Ahmad al-Farahidi: wrote a (now lost) book ...
during the
Second World War World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
; due to his work, Norway became a
NATO The North Atlantic Treaty Organization (NATO ; , OTAN), also called the North Atlantic Alliance, is an intergovernmental organization, intergovernmental Transnationalism, transnational military alliance of 32 Member states of NATO, member s ...
superpower in the field of encryption.


Biography


Early life

Ernest S. Selmer was born in
Oslo Oslo ( or ; ) is the capital and most populous city of Norway. It constitutes both a county and a municipality. The municipality of Oslo had a population of in 2022, while the city's greater urban area had a population of 1,064,235 in 2022 ...
in the family of Professor Ernst W. Selmer and Ella Selmer (born Sejersted). He was the brother of Knut S. Selmer, who married Elisabeth Schweigaard, as well as first cousin of Francis Sejersted. Already early in school, Selmer demonstrated mathematical talent. When attending
Stabekk Stabekk is a suburban centre in the municipality of Bærum, Norway, west of Oslo. It is predominantly a residential area, with many residents commuting to Oslo. As of 2005 the population was 6,261. Bærum has the highest income per capita and the hi ...
high school he was an editor of the school's magazine ''Tall og tanker'' (numbers and thoughts). In 1938, he won Crown Prince Olav's Mathematics Prize for high school graduates. From 1942–1943, he studied at the
University of Oslo The University of Oslo (; ) is a public university, public research university located in Oslo, Norway. It is the List of oldest universities in continuous operation#Europe, oldest university in Norway. Originally named the Royal Frederick Univ ...
. As a student at the university during
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, Selmer was involved in encrypting secret messages for the
Norwegian resistance movement The Norwegian resistance (Norwegian language, Norwegian: ''Motstandsbevegelsen'') to the German occupation of Norway, occupation of Norway by Nazi Germany began after Operation Weserübung in 1940 and ended in 1945. It took several forms: *As ...
. During the autumn of 1943 when the Germans forced the University to close he escaped to
Sweden Sweden, formally the Kingdom of Sweden, is a Nordic countries, Nordic country located on the Scandinavian Peninsula in Northern Europe. It borders Norway to the west and north, and Finland to the east. At , Sweden is the largest Nordic count ...
, just in time before the Nazi Germany secret police
Gestapo The (, ), Syllabic abbreviation, abbreviated Gestapo (), was the official secret police of Nazi Germany and in German-occupied Europe. The force was created by Hermann Göring in 1933 by combining the various political police agencies of F ...
closed the university and arrested the male students. In 1944 Selmer was sent to
London London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Wester ...
, where he took technical responsibility for all Norwegian military and civilian cipher machines. The communication was mainly carried out using the Hagelin cipher machine. When the war ended, Selmer returned to Norway, and in 1946, was hired as a lecturer in the
University of Oslo The University of Oslo (; ) is a public university, public research university located in Oslo, Norway. It is the List of oldest universities in continuous operation#Europe, oldest university in Norway. Originally named the Royal Frederick Univ ...
. In the same year, he started working for the Cipher Department of the Armed Forces Security Service as a consultant. With colleagues, he built a communication system for Norway's equivalent of the
MI5 MI5 ( Military Intelligence, Section 5), officially the Security Service, is the United Kingdom's domestic counter-intelligence and security agency and is part of its intelligence machinery alongside the Secret Intelligence Service (MI6), Gov ...
, which was used from 1949 till 1960. Selmer spent the spring of 1949 at the
Cambridge University 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 ...
working with the famous mathematician JWS Cassels. More than a decade after their initial collaboration, a group related to an
Abelian variety In mathematics, particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a smooth Algebraic variety#Projective variety, projective algebraic variety that is also an algebraic group, i.e., has a group ...
—namely, the
Selmer group In arithmetic geometry, the Selmer group, named in honor of the work of by , is a group constructed from an isogeny of abelian varieties. Selmer group of an isogeny The Selmer group of an abelian variety ''A'' with respect to an isogeny ''f'' ...
—was discovered by Cassels and named after Selmer. In 1993,
Andrew Wiles Sir Andrew John Wiles (born 11 April 1953) is an English mathematician and a Royal Society Research Professor at the University of Oxford, specialising in number theory. He is best known for Wiles's proof of Fermat's Last Theorem, proving Ferma ...
used the Selmer group in his proof of
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 ...
.


Middle years

Selmer received his dr.philos in 1952 from the University of Oslo and was at the same time hired as a lecturer for the university. Among Selmer's lectures, his lectures on
data processing Data processing is the collection and manipulation of digital data to produce meaningful information. Data processing is a form of ''information processing'', which is the modification (processing) of information in any manner detectable by an o ...
is of particular note, as it helped lay the foundation for the Department of Informatics at the university. In the same year, he received a
Rockefeller Foundation The Rockefeller Foundation is an American private foundation and philanthropic medical research and arts funding organization based at 420 Fifth Avenue, New York City. The foundation was created by Standard Oil magnate John D. Rockefeller (" ...
Fellowship to study in the
United States The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
during the years 1951–1952. Selmer arrived in January 1951 as a visiting scholar at the
Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
in Princeton, N.J. where the
IAS machine The IAS machine was the first electronic computer built at the Institute for Advanced Study (IAS) in Princeton, New Jersey. It is sometimes called the von Neumann machine, since the paper describing its design was edited by John von Neumann, a ...
was being constructed for
John von Neumann John von Neumann ( ; ; December 28, 1903 – February 8, 1957) was a Hungarian and American mathematician, physicist, computer scientist and engineer. Von Neumann had perhaps the widest coverage of any mathematician of his time, in ...
. During his stay in Princeton he also met with people such as
Albert Einstein Albert Einstein (14 March 187918 April 1955) was a German-born theoretical physicist who is best known for developing the theory of relativity. Einstein also made important contributions to quantum mechanics. His mass–energy equivalence f ...
,
J. Robert Oppenheimer J. Robert Oppenheimer (born Julius Robert Oppenheimer ; April 22, 1904 – February 18, 1967) was an American theoretical physics, theoretical physicist who served as the director of the Manhattan Project's Los Alamos Laboratory during World ...
and his countryman
Atle Selberg Atle Selberg (14 June 1917 – 6 August 2007) was a Norwegian mathematician known for his work in analytic number theory and the theory of automorphic forms, and in particular for bringing them into relation with spectral theory. He was awarded ...
. Einstein is said to have been the first person Selmer met on arrival in Princeton on a Saturday afternoon, and apparently took on the task as campus guide with open arms. From Princeton, Selmer traveled to Berkeley where he contributed to Paul Morton's construction of the CALDIC computer. He was hired by Consolidated Engineering Corporation (CEC) on von Neumann's recommendation in late 1951 and designed much of the logic for their Datatron computer, working closely with other CEC employees such as Sibyl M. Rock. Later the computer was named Burroughs 205 and it was the most serious competitor of
IBM 650 The IBM 650 Magnetic Drum Data-Processing Machine is an early digital computer produced by IBM in the mid-1950s. It was the first mass-produced computer in the world. Almost 2,000 systems were produced, the last in 1962, and it was the firs ...
. He returned to the
Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
again as a visiting scholar in 1952. In late 1952, Selmer returned to Oslo, and started working on a military computer. A product of this work was implemented in a computer, which was installed in the
Norwegian Defence Research Establishment The Norwegian Defence Research Establishment (''Forsvarets forskningsinstitutt'' – ''FFI'') is a research institute that conducts research and development on behalf of the Norwegian Armed Forces and provides expert advice to political and m ...
in 1957. On September 25, 1953 Selmer applied for a U.S. Patent for an Electronic Adder. This patent, No. 2,947,479, was awarded on August 2, 1960.


Later life

At the age of mere 37 Selmer took a position of a full professor in mathematics at the
University of Bergen The University of Bergen () is a public university, public research university in Bergen, Norway. As of 2021, the university had over 4,000 employees and 19,000 students. It was established by an act of parliament in 1946 consolidating several sci ...
, which was a huge feat in 1957. At the university he was involved in designing two ciphers for NATO. In 1962, a hotline between the Kremlin and Washington was established via the Norwegian-developed encryption equipment ETCRRM II (Electronic Teleprinter Cryptographic Regenerative Repeater Mixer) from STK. At the University of Bergen Selmer started studying Linear Shift Registers and lectured on the subject. He commissioned a theoretical basis for linear shift register sequences in the 1960s on behalf of the Cipher Department. His lecture notes were published several times, under the title "Linear Recurrence Relations over Finite Fields". In his lecture on EUROCRYPT'93, Ernst Sejersted Selmer gave an overview of what he had contributed to the field of cryptography. From 1960–1966, Selmer served as vice dean at the Faculty of Mathematics and Natural Sciences at the University of Bergen, and dean from 1966–1968. Selmer was a member of the Council for Electronic Data Processing in the Norwegian state from its establishment in 1961 to 1973.


Personal relations

Selmer was married to Signe Randi Johanne Faanes and had one daughter, the microbiologist Johanne-Sophie Selmer who was educated at
Karlstad University Karlstad University ( Swedish ''Karlstads universitet'') is a state university in Karlstad, Sweden. It was originally established as the Karlstad campus of the University of Gothenburg in 1967, and this campus became an independent university c ...
. His wife became his support throughout his life, and his great efforts in many fields would probably not have been possible without her. While work was his life, he was also a man that gave his home and family high priority. One time Selmer would not want to break a deal with his daughter in favor of a meeting with
Fields Medal The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
winner Alan Baker. Selmer was also fond of
gardening Gardening is the process of growing plants for their vegetables, fruits, flowers, herbs, and appearances within a designated space. Gardens fulfill a wide assortment of purposes, notably the production of Aesthetics, aesthetically pleasing area ...
as a hobby and the famous botanist Knut Fægri used to make excursions to Selmer's garden. In 1990 he retired with his wife in Ski and was in good physical and mental shape until he was hit by a stroke in the fall of 2004; after the stroke he was never the same. On the 8th of November 2006 Selmer fell asleep quietly. Selmer was elected member of the
Norwegian Academy of Science and Letters The Norwegian Academy of Science and Letters (, DNVA) is a learned society based in Oslo, Norway. Its purpose is to support the advancement of science and scholarship in Norway. History The Royal Frederick University in Christiania was establis ...
in 1961, and became a knight of the 1st class of the
Order of St. Olav The Royal Norwegian Order of Saint Olav (; or ''Sanct Olafs Orden'', the old Norwegian name) is a Norwegian order of chivalry instituted by King Oscar I on 21 August 1847. It is named after King Olav II, known to posterity as St. Olav. Just be ...
in 1983. In 2020, the University of Bergen published the book "Professor in Secret Service", which is a biography on Selmer.


Legacy

In honor of Prof. Ernst Sejersted Selmer the University of Bergen established th
Selmer Center
in 2003. The Selmer Center held a leading position in the field of cryptography nationally and internationally, with roots going back 70 years. Selmer is behind the algorithm used to calculate the check digits in Norwegian birth numbers. Norwegian-developed mathematical theory became an important contribution to the modernization of crypto-algorithms in NATO and the
NSA The National Security Agency (NSA) is an intelligence agency of the United States Department of Defense, under the authority of the director of national intelligence (DNI). The NSA is responsible for global monitoring, collection, and proces ...
. Selmer's advanced research formed the basis for National Security Agency to develop modern crypto machines.


Publications

*


References


External links


interview with SelmerSelmer center
{{DEFAULTSORT:Selmer, Ernst Sejersted 1920 births 2006 deaths Norwegian mathematicians Number theorists Academic staff of the University of Oslo Academic staff of the University of Bergen Institute for Advanced Study visiting scholars Members of the Norwegian Academy of Science and Letters Royal Norwegian Society of Sciences and Letters