Idun Reiten
Encyclopedia
Idun Reiten is a Norwegian professor
of mathematics
. She is considered to be one of Norway's greatest mathematicians today.
in 1971. She was appointed as a professor at the University of Trondheim in 1982, now named the Norwegian University of Science and Technology
.
Her research area is representation theory
for artinian
algebras
, commutative algebra
, and homological algebra
. Her work with Maurice Auslander
now forms the part of the study of artinian algebras known as Auslander–Reiten theory
.
In 2007, she was elected a foreign member of the Royal Swedish Academy of Sciences
. She is also a member of the Norwegian Academy of Science and Letters
and the Royal Norwegian Society of Sciences and Letters
.
Professor
A professor is a scholarly teacher; the precise meaning of the term varies by country. Literally, professor derives from Latin as a "person who professes" being usually an expert in arts or sciences; a teacher of high rank...
of mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
. She is considered to be one of Norway's greatest mathematicians today.
Career
She took her PhD degree at the University of IllinoisUniversity of Illinois at Urbana-Champaign
The University of Illinois at Urbana–Champaign is a large public research-intensive university in the state of Illinois, United States. It is the flagship campus of the University of Illinois system...
in 1971. She was appointed as a professor at the University of Trondheim in 1982, now named the Norwegian University of Science and Technology
Norwegian University of Science and Technology
The Norwegian University of Science and Technology , commonly known as NTNU, is located in Trondheim. NTNU is the second largest of the eight universities in Norway, and, as its name suggests, has the main national responsibility for higher education in engineering and technology...
.
Her research area is representation theory
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studiesmodules over these abstract algebraic structures...
for artinian
Artinian ring
In abstract algebra, an Artinian ring is a ring that satisfies the descending chain condition on ideals. They are also called Artin rings and are named after Emil Artin, who first discovered that the descending chain condition for ideals simultaneously generalizes finite rings and rings that are...
algebras
Algebra over a field
In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it isan algebraic structure consisting of a vector space together with an operation, usually called multiplication, that combines any two vectors to form a third vector; to qualify as...
, commutative algebra
Commutative algebra
Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra...
, and homological algebra
Homological algebra
Homological algebra is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology and abstract algebra at the end of the 19th century, chiefly by Henri Poincaré and...
. Her work with Maurice Auslander
Maurice Auslander
Maurice Auslander was an American mathematician who worked on commutative algebra and homological algebra. He proved the Auslander–Buchsbaum theorem that regular local rings are factorial, the Auslander–Buchsbaum formula, and introduced Auslander–Reiten theory and Auslander algebras.Born in...
now forms the part of the study of artinian algebras known as Auslander–Reiten theory
Auslander–Reiten theory
In algebra, Auslander–Reiten theory studies the representation theory of Artinian rings using techniques such as Auslander–Reiten sequences and Auslander–Reiten quivers. Auslander–Reiten theory was introduced by and developed by them in several subsequent papers.For survey articles on...
.
Awards
In 2007 Reiten was awarded the Möbius prize. In 2009 she was awarded Fridtjof Nansen's award for successful researchers, (in the field of mathematics and the natural sciences), and the "Nansen medal for outstanding research.In 2007, she was elected a foreign member of the Royal Swedish Academy of Sciences
Royal Swedish Academy of Sciences
The Royal Swedish Academy of Sciences or Kungliga Vetenskapsakademien is one of the Royal Academies of Sweden. The Academy is an independent, non-governmental scientific organization which acts to promote the sciences, primarily the natural sciences and mathematics.The Academy was founded on 2...
. She is also a member of the Norwegian Academy of Science and Letters
Norwegian Academy of Science and Letters
The Norwegian Academy of Science and Letters is a learned society based in Oslo, Norway.-History:The University of Oslo was established in 1811. The idea of a learned society in Christiania surfaced for the first time in 1841. The city of Throndhjem had no university, but had a learned...
and the Royal Norwegian Society of Sciences and Letters
Royal Norwegian Society of Sciences and Letters
The Royal Norwegian Society of Sciences and Letters is a learned society based in Trondheim, Norway.-History:DKNVS was founded in 1760 by bishop of Nidaros Johan Ernst Gunnerus, headmaster at the Trondheim Cathedral School Gerhard Schøning and Councillor of State Peter Frederik Suhm under the name...
.