Idun riding
Idun riding (born January 1, 1942 in Klæbu , Norway ) is a Norwegian mathematician who works with algebra.
life and work
Riding studied at the University of Oslo with a diploma in 1968 and received his doctorate in 1971 from the University of Illinois with Robert Fossum ( Trivial extensions and Gorenstein rings ). In 1973 she was a lecturer at the Massachusetts Institute of Technology . In 1980 she became a lecturer and in 1982 professor at Trondheim University , where she has been since 1974.
She was u. a. Visiting researcher at the Universities of Bielefeld, Paderborn, Northeastern University in Boston, Sao Paulo, Bahia Blanca in Argentina, Oxford, Chemnitz, Oslo, Liverpool, Mexico City, Stuttgart, Warwick and the Mittag-Leffler Institute .
It deals with representation theory of finite dimensional algebra (Auslandser-Riding-Theory, see Auslandser-Riding-Quiver , 1975, additionally based on Maurice Auslandser ), commutative algebra and homological algebra.
In the 1970s, together with Maurice Auslander, she introduced techniques of homological algebra to the study of representation theory of finite-dimensional algebras ( almost disintegrating sequence , also known as the Auslands riding sequence).
She applied these techniques to commutative rings in the 1980s.
In the 1990s she introduced quasi-tilted algebras (with Dieter Happel , Sverre Smalø). In the 2000s, she dealt in particular with the cluster algebras of Sergey Fomin and Andrei Zelevinsky , leading to cluster categories (with Aslak Buan, Robert Marsh, Markus Reineke, Gordona Todorov) and cluster tilt algebras (with Buan, Marsh ) led.
She is a member of the Norwegian Academy of Sciences and the Kongelige Norske Videnskabers Selskab and an external member of the Royal Swedish Academy of Sciences (2007). In 2012 she was elected a member of the Academia Europaea . She is a Fellow of the American Mathematical Society .
In 2009 she received the Nansen Research Prize of the Norwegian Academy of Sciences and in 2007 the Norwegian Möbius Prize. In 2005 she received the Humboldt Research Award . In 2010 she gave a plenary lecture ( ICM Emmy Noether Lecture ) at the International Congress of Mathematicians in Hyderabad (cluster categories) and in 1998 she was invited speaker at the ICM in Berlin (Tilting theory and quasitilted algebras). In 2015 she received an honorary doctorate from Bielefeld University .
In 1999 she was co-editor of the collected works of Ausländer.
Fonts
- Maurice Auslander, Idun Fahrt, Sverre O. Smalø: Representation theory of Artin algebras , Cambridge Studies in Advanced Mathematics, 36, Cambridge University Press, 1997
- The use of almost split sequences in the representation theory of Artin algebras , in: Representations of algebras (Puebla, 1980) , Lecture Notes in Math. 944, Springer-Verlag, 1982, pp. 29-104
- with Maurice Auslander: Representation theory of Artin algebras. III. Almost split sequences , Communications in Algebra, Volume 3, 1975, pp. 239-294
- with Aslak Buan, Robert Marsh, Markus Reineke, Gordona Todorov: Tilting theory and cluster combinatorics , Adv. Math. 204 (2006), 572–618
- with Bernhard Keller: Cluster-tilted algebras are Gorenstein and stably Calabi-Yau , Adv. Math. 211 (2007), 123–151
See also
Web links
Individual evidence
- ^ Mathematics Genealogy Project
- ^ Membership directory: Idun riding. Academia Europaea, accessed October 8, 2017 .
| personal data | |
|---|---|
| SURNAME | Riding, Idun |
| BRIEF DESCRIPTION | Norwegian mathematician |
| DATE OF BIRTH | January 1, 1942 |
| PLACE OF BIRTH | Klæbu , Norway |