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Joakim Arnlind is a Professor in the Department of Mathematics at Linköping University. His research primarily focuses on algebraic aspects of geometry, particularly Riemannian aspects of non-commutative geometry and the role of Poisson algebras in differential algebraic geometry. Arnlind is adept at conceptualizing geometric objects as concrete subsets of three-dimensional space, including lines, discs, and spheres. He studies collections of points to introduce advanced tools that can reveal their properties and relations, such as measuring the distance between points and understanding how curves bend in space. Notably, he explores the interplay between geometric objects and functions, emphasizing that in several surprising instances, knowing the functions completely determines the related geometric object. Arnlind investigates non-commutative geometry, which includes concepts that extend traditional topology into this abstract framework. His work has contributed significantly to the field, exemplified in his numerous publications derived from advanced research in mathematics.
Linköping University • Linköping, Sweden
Leading the Department of Mathematics and overseeing academic activities, including research and student supervision.
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