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Idun Reiten
Idun Reiten (born 1 January 1942) is a Norwegian professor of mathematics. She is considered to be one of Norway's greatest mathematicians today. With national and international honors and recognition, she has supervised 11 students and has 28 academic descendants as of March 2024. She is an expert in representation theory, and is known for work in tilting theory and Artin algebras. Career She took her PhD degree at the University of Illinois in 1971, becoming the second Norwegian woman to earn a PhD in mathematics. 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. This theory utilizes such concepts as almost-split sequences and Auslander-Reiten quivers, which wer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oberwolfach Research Institute For Mathematics
The Oberwolfach Research Institute for Mathematics () is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and scientists from all over the world come to do collaborative research. The Institute is a member of the Leibniz Association, funded mainly by the German Federal Ministry of Education and Research and by the state of Baden-Württemberg. It also receives substantial funding from the ''Friends of Oberwolfach'' foundation, from the ''Oberwolfach Foundation'' and from numerous donors. History The Oberwolfach Research Institute for Mathematics (MFO) was founded as the ''Reich Institute of Mathematics'' (German: ''Reichsinstitut für Mathematik'') on 1 September 1944. It was one of several research institutes founded by the Nazis in order to further the German war effort, which at that time was clearly failing. The location was selected to be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Norwegian University Of Science And Technology
The Norwegian University of Science and Technology (NTNU; ) is a public university, public research university in Norway and the largest in terms of enrollment. The university's headquarters is located in Trondheim (city), Trondheim, with regional campuses in Gjøvik (town), Gjøvik and Ålesund (town), Ålesund. NTNU was inaugurated by the King-in-Council in 1996 as a result of the merger of the former University of Trondheim and other university-level institutions, with roots dating back to 1760. Later, some former university colleges were also incorporated. Depending on the ranking publication, the university typically ranks within a range of 101 and 400 globally. As of November 2022, the university boasts an approximate 9,000 employees and 42,000 students. NTNU has the main national responsibility for education and research in engineering and technology. This is likely attributable to the fact that it is the successor of Norway's pre-eminent engineering university, the Norwe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Emmy Noether
Amalie Emmy Noether (23 March 1882 – 14 April 1935) was a German mathematician who made many important contributions to abstract algebra. She also proved Noether's theorem, Noether's first and Noether's second theorem, second theorems, which are fundamental in mathematical physics. Noether was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important List of women in mathematics, woman in the history of mathematics. Transcribeonlineat the MacTutor History of Mathematics Archive. As one of the leading mathematicians of her time, she developed theories of ring (mathematics), rings, field (mathematics), fields, and algebras. In physics, Noether's theorem explains the connection between Symmetry (physics), symmetry and conservation laws. in . Noether was born to a Jewish family in the Franconian town of Erlangen; her father was the mathematician Max Noether. She originally planned to teach French and English after passin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Sciences Research Institute
The Simons Laufer Mathematical Sciences Institute (SLMath), formerly the Mathematical Sciences Research Institute (MSRI), is an independent nonprofit mathematical research institution on the University of California campus in Berkeley, California. It is a mathematical center for collaborative research, drawing thousands of researchers each year. The institute was founded in 1982, and its funding sources include the National Science Foundation, private foundations, corporations, and more than 90 universities and institutions. The institute is located at 17 Gauss Way on the Berkeley campus, close to Grizzly Peak in the Berkeley Hills. Given its contribution to the nation's scientific potential, the institute is supported by the National Science Foundation and the National Security Agency. Private individuals, foundations, and nearly 100 Academic Sponsor Institutions, including mathematics departments in the United States, also provide support and flexibility. Jim Simons, f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe became the first president while Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance over concerns about competing with the '' American Journal of Mathematics''. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influentia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academia Europaea
The Academia Europaea is a pan-European Academy of humanities, letters, law, and sciences. The Academia was founded in 1988 as a functioning Europe-wide Academy that encompasses all fields of scholarly inquiry. It acts as co-ordinator of European interests in national research agencies. History The concept of a 'European Academy of Sciences' was raised at a meeting in Paris of the European Ministers of Science in 1985. The initiative was taken by the Royal Society (United Kingdom) which resulted in a meeting in London in June 1986 of Arnold Burgen (United Kingdom), Hubert Curien (France), Umberto Colombo (Italy), David Magnusson (Sweden), Eugen Seibold (Germany) and Ruurd van Lieshout (the Netherlands) – who agreed to the need for a new body. The meeting also included Brian Flowers and John Kendrew. Another, larger meeting took place in October 1986 with participants representing some countries in the Council of Europe and was in support for the development of a Eur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Norwegian Society Of Sciences And Letters
The Royal Norwegian Society of Sciences and Letters (, DKNVS) is a Norway, Norwegian learned society based in Trondheim. It was founded in 1760 and is Norway's oldest scientific and scholarly institution. The society's Protector is King Harald V of Norway. Its membership consists of no more than 435 members elected for life among the country's most prominent scholars and scientists. The society’s Danish name predates both written standards for Norwegian and has remained unchanged after Norway’s independence from Denmark in 1814 and the spelling reforms of the 20th century. History DKNVS was founded in 1760 by the diocese of Nidaros, bishop of Nidaros Johan Ernst Gunnerus, headmaster at the Trondheim Cathedral School Gerhard Schøning and Councillor of State Peter Frederik Suhm under the name ''Det Trondhiemske Selskab'' (the Trondheim Society). From 1761 it published academic papers in a series titled ''Skrifter''. It was the northernmost learned society in the world, and was e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Swedish Academy Of Sciences
The Royal Swedish Academy of Sciences () is one of the Swedish Royal Academies, royal academies of Sweden. Founded on 2 June 1739, it is an independent, non-governmental scientific organization that takes special responsibility for promoting natural sciences and mathematics and strengthening their influence in society, whilst endeavouring to promote the exchange of ideas between various disciplines. The goals of the academy are: * To be a forum where researchers meet across subject boundaries, * To offer a unique environment for research, * To provide support to younger researchers, * To reward outstanding research efforts, * To communicate internationally among scientists, * To advance the case for science within society and to influence research policy priorities * To stimulate interest in mathematics and science in school, and * To disseminate and popularize scientific information in various forms. Every year, the academy awards the Nobel Prizes in Nobel Prize in Physics, phy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 established in 1811. The idea of a learned society in Christiania surfaced for the first time in 1841. The city of Trondhjem had no university, but had a learned society, the Royal Norwegian Society of Sciences and Letters, established in 1760. The purpose of a learned society in Christiania was to support scientific studies and aid publication of academic papers. The idea of the Humboldt-inspired university, where independent research stood strong, had overtaken the instrumental view of a university as primarily a means to produce civil servants. The city already had societies for specific professions, for instance the Norwegian Medical Society, which was founded in 1833. However, these societies were open to both academics within medicine as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Auslander–Reiten Theory
In algebra, Auslander–Reiten theory studies the representation theory of Artinian rings using techniques such as Auslander–Reiten sequences (also called almost split sequences) and Auslander–Reiten quivers. Auslander–Reiten theory was introduced by and developed by them in several subsequent papers. For survey articles on Auslander–Reiten theory see , , , and the book . Many of the original papers on Auslander–Reiten theory are reprinted in . Almost-split sequences Suppose that ''R'' is an Artin algebra. A sequence :0→ ''A'' → ''B'' → ''C'' → 0 of finitely generated left modules over ''R'' is called an almost-split sequence (or Auslander–Reiten sequence) if it has the following properties: *The sequence is not split *''C'' is indecomposable and any homomorphism from an indecomposable module to ''C'' that is not an isomorphism factors through ''B''. *''A'' is indecomposable and any homomorphism from ''A'' to an indecomposable module that is not a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maurice Auslander
Maurice Auslander (August 3, 1926 – November 18, 1994) was an American mathematician who worked on commutative algebra, homological algebra and the representation theory of Artin algebras (e.g. finite-dimensional associative algebras over a field). He proved the Auslander–Buchsbaum theorem that regular local rings are factorial, the Auslander–Buchsbaum formula, and, in collaboration with Idun Reiten, introduced Auslander–Reiten theory and Auslander algebras. Born in Brooklyn, New York, Auslander received his bachelor's degree and his Ph.D. (1954) from Columbia University. He was a visiting scholar at the Institute for Advanced Study in 1956-57. He was a professor at Brandeis University from 1957 until his death in Trondheim, Norway aged 68. He was elected a Fellow of the American Academy of Arts and Sciences in 1971. Upon his death he was survived by his mother, his widow, a daughter, and a son. His widow Bernice L. Auslander (November 21, 1931 - June 18, 2022) wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homological Algebra
Homological algebra is the branch of mathematics that studies homology (mathematics), homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract algebra (theory of module (mathematics), modules and Syzygy (mathematics), syzygies) at the end of the 19th century, chiefly by Henri Poincaré and David Hilbert. Homological algebra is the study of homological functors and the intricate algebraic structures that they entail; its development was closely intertwined with the emergence of category theory. A central concept is that of chain complexes, which can be studied through their homology and cohomology. Homological algebra affords the means to extract information contained in these complexes and present it in the form of homological invariant (mathematics), invariants of ring (mathematics), rings, modules, topological spaces, and other "tangible ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
