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Adam-Christiaan van Roosmalen
Researcher at University of Hasselt
Publications - 30
Citations - 178
Adam-Christiaan van Roosmalen is an academic researcher from University of Hasselt. The author has contributed to research in topics: Serre duality & Derived category. The author has an hindex of 8, co-authored 30 publications receiving 151 citations. Previous affiliations of Adam-Christiaan van Roosmalen include Bielefeld University & University of Bonn.
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The quiver of projectives in hereditary categories with Serre duality
TL;DR: In this paper, the authors introduced light cone distances and round trip distances on quivers, which were used to investigate sections in stable translation quivers of the form Z Q for a strongly locally finite quiver Q.
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A non-commutative analogue of Clausen's view on the id\`{e}le class group
TL;DR: In this article, it was shown that Chevalley's idele class group of a number field $F$ appears as the first $K$-group of the category of locally compact vector spaces.
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The Quiver of Projectives in Hereditary Categories with Serre Duality
TL;DR: In this paper, the authors introduced light cone distances and round trip distances on quivers which were used to investigate sections in stable translation quivers of the form \mathbb{Z} Q.
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Abelian hereditary fractionally Calabi-Yau categories
TL;DR: In this article, a generalization of Calabi-Yau categories is proposed, where a k-linear hom-finite triangulated category is fractionally CalabiYau if it admits a Serre functor S and there is an n > 0 with S^n = [m].
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Classification of abelian hereditary directed categories satisfying Serre duality
TL;DR: In this article, a classification of Ext-finite directed hereditary abelian categories satisfying Serre duality up to derived equivalence is presented. But the classification is restricted to the Auslander-Reiten components.