What is he best known for?
The fields of study he is best known for:
- Pure mathematics
- Algebra
- Discrete mathematics
His primary scientific interests are in Artin algebra, Pure mathematics, Tilting theory, Ring and Subcategory.
In his work, Change of rings is strongly intertwined with Algebra, which is a subfield of Artin algebra.
His Pure mathematics study combines topics in areas such as Artin L-function, Artin approximation theorem and Dimension.
His Tilting theory research includes elements of Functor and Coxeter group.
His Ring research includes themes of Section, Morphism, Epimorphism and Indecomposable module.
His research investigates the connection between Subcategory and topics such as Combinatorics that intersect with issues in Commutative property and Noetherian.
His most cited work include:
- Representation theory of Artin algebras (2085 citations)
- Stable module theory (934 citations)
- The Brauer group of a commutative ring (605 citations)
What are the main themes of his work throughout his whole career to date?
Maurice Auslander mainly focuses on Pure mathematics, Algebra, Artin algebra, Representation theory and Discrete mathematics.
His Pure mathematics research integrates issues from Artinian ring, Local ring and Artin approximation theorem.
His study explores the link between Artin approximation theorem and topics such as Artin reciprocity law that cross with problems in Non-abelian class field theory.
The various areas that Maurice Auslander examines in his Algebra study include Dimension and Non-associative algebra, Algebra over a field, Algebra representation, Nest algebra.
Maurice Auslander combines subjects such as Morphism, Tilting theory and Epimorphism with his study of Artin algebra.
His work deals with themes such as Artin L-function and Trivial representation, which intersect with Representation theory.
He most often published in these fields:
- Pure mathematics (61.04%)
- Algebra (20.78%)
- Artin algebra (24.68%)
What were the highlights of his more recent work (between 1988-1999)?
- Pure mathematics (61.04%)
- Algebra (20.78%)
- Artin algebra (24.68%)
In recent papers he was focusing on the following fields of study:
Maurice Auslander focuses on Pure mathematics, Algebra, Artin algebra, Discrete mathematics and Representation theory.
His biological study spans a wide range of topics, including Noetherian and Artinian ring.
His work carried out in the field of Artinian ring brings together such families of science as Conductor and Artin's conjecture on primitive roots.
His study on Algebra also encompasses disciplines like
- Algebra over a field which is related to area like Selection,
- Trivial representation that intertwine with fields like Representation theory of finite groups, Faithful representation and Real representation.
His biological study spans a wide range of topics, including Dimension and Tilting theory.
His research in Representation theory intersects with topics in Artin L-function, Artin approximation theorem and Artin reciprocity law.
Between 1988 and 1999, his most popular works were:
- Representation theory of Artin algebras (2085 citations)
- Applications of contravariantly finite subcategories (587 citations)
- The Homological Theory of Maximal Cohen-Macaulay Approximations (314 citations)
In his most recent research, the most cited papers focused on:
- Pure mathematics
- Algebra
- Discrete mathematics
His main research concerns Pure mathematics, Artin algebra, Commutative property, Noetherian ring and Discrete mathematics.
His study in Pure mathematics is interdisciplinary in nature, drawing from both Dimension and Artin L-function, Artin reciprocity law.
His Artin algebra study combines topics from a wide range of disciplines, such as Tilting theory and Algebra.
His Commutative property research incorporates themes from Minor, Exact sequence, Gorenstein ring, Commutative ring and Subcategory.
Maurice Auslander has included themes like Maximal ideal, Abelian group, Surjective function and Injective function in his Noetherian ring study.
His Discrete mathematics research is multidisciplinary, incorporating perspectives in Noetherian, Artinian ring, Artin's conjecture on primitive roots, Artin approximation theorem and Conductor.
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