Jonathan Nilsson

Jonathan Nilsson is an Associate Professor in the Department of Mathematics at Linköping University, affiliated with the Algebra, Geometry and Discrete Mathematics (ALGD) division within the Faculty of Science and Engineering. His work centers on algebraic structures, particularly Lie algebras and their representations.

His research focuses on the construction and classification of simple modules for classical Lie algebras and Lie algebras of vector fields on affine varieties. This work lies at the intersection of abstract algebra and representation theory, contributing to foundational mathematical knowledge in non-associative algebra systems.

The available publication from 2023 indicates ongoing research in module theory over Lie algebras, specifically exploring modules that are free over abelian subalgebras—a direction that contributes to structural understanding in representation theory.

Scientific Awards:

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Advising and Grants:

• No information available on students or advisees.
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Labs and Research Teams: Jonathan Nilsson is a member of the Algebra, Geometry and Discrete Mathematics (ALGD) research division, which conducts work in algebra, geometry, topology, combinatorics, and graph theory. This group includes around twenty teachers, researchers, and doctoral students, fostering collaborative research in pure mathematics.