Karin Erdmann
Encyclopedia
Karin Erdmann is a German
mathematician
specializing in the areas of algebra
known as representation theory
(especially modular representation theory
) and homological algebra
(especially Hochschild cohomology). She is notable for her work in modular representation theory which has been cited over 500 times according to the Mathematical Reviews
.
She attended the Justus-Liebig-Universität Gießen and wrote her Ph.D. thesis on "2-Hauptblöcke von Gruppen mit Dieder-Gruppen als 2-Sylow-Gruppen" (Principal 2-blocks of groups
with dihedral
Sylow 2-subgroups) in 1976 under the direction of Gerhard O. Michler. She has contributed to the understanding of the representation theory of the symmetric group
.
She is a university lecturer at the Mathematical Institute at the University of Oxford
where she has had 19 doctoral students and 25 descendants. She has published over 75 papers and her work has been cited over 500 times. She has an Erdős number
of 3.
Germans
The Germans are a Germanic ethnic group native to Central Europe. The English term Germans has referred to the German-speaking population of the Holy Roman Empire since the Late Middle Ages....
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
specializing in the areas of algebra
Algebra
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures...
known as 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...
(especially modular representation theory
Modular representation theory
Modular representation theory is a branch of mathematics, and that part of representation theory that studies linear representations of finite group G over a field K of positive characteristic...
) 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...
(especially Hochschild cohomology). She is notable for her work in modular representation theory which has been cited over 500 times according to the Mathematical Reviews
Mathematical Reviews
Mathematical Reviews is a journal and online database published by the American Mathematical Society that contains brief synopses of many articles in mathematics, statistics and theoretical computer science.- Reviews :...
.
She attended the Justus-Liebig-Universität Gießen and wrote her Ph.D. thesis on "2-Hauptblöcke von Gruppen mit Dieder-Gruppen als 2-Sylow-Gruppen" (Principal 2-blocks of groups
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines any two of its elements to form a third element. To qualify as a group, the set and the operation must satisfy a few conditions called group axioms, namely closure, associativity, identity...
with dihedral
Dihedral group
In mathematics, a dihedral group is the group of symmetries of a regular polygon, including both rotations and reflections. Dihedral groups are among the simplest examples of finite groups, and they play an important role in group theory, geometry, and chemistry.See also: Dihedral symmetry in three...
Sylow 2-subgroups) in 1976 under the direction of Gerhard O. Michler. She has contributed to the understanding of the representation theory of the symmetric group
Representation theory of the symmetric group
In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete and detailed theory can be obtained. This has a large area of potential applications, from symmetric function theory to problems of quantum...
.
She is a university lecturer at the Mathematical Institute at the University of Oxford
The Mathematical Institute, University of Oxford
The Mathematical Institute is the mathematics department at the University of Oxford, England. It forms one of the ten departments of the Mathematical, Physical and Life Sciences Divisional Board in the University....
where she has had 19 doctoral students and 25 descendants. She has published over 75 papers and her work has been cited over 500 times. She has an Erdős number
Erdos number
The Erdős number describes the "collaborative distance" between a person and mathematician Paul Erdős, as measured by authorship of mathematical papers.The same principle has been proposed for other eminent persons in other fields.- Overview :...
of 3.
External links
- Mathematical ReviewsMathematical ReviewsMathematical Reviews is a journal and online database published by the American Mathematical Society that contains brief synopses of many articles in mathematics, statistics and theoretical computer science.- Reviews :...
author profile - Home page at Oxford