Research
My research is in algebra and algebraic geometry, and focuses on affine group schemes and related structures, such as various nonassociative algebras, homogeneous spaces and manifolds with exceptional holonomy.I am the principal advisor for Isak Sundelius, who is doing his PhD within the Centre for Interdisciplinary Mathematics; his co-advisor is Professor Magdalena Larfors at the Department of Physics and Astronomy.
Selected Publications
- Groups of type E6 and E7 over Rings via Brown Algebras and Related Torsors. Special Issue in Memory of Jacques Tits, J. Algebra 656 (2024), 24–46. [Link] [Preprint] [Addendum]
- Albert Algebras over Rings and Related Torsors. Canad. J. Math. 73 (2021), 875-898 . [Link] [Preprint] [Addendum]
- (With A. Pianzola) On the Classification of Lie Bialgebras by Cohomological Means. Doc. Math. 24 (2019), 2583-2612 . [Link] [Preprint]
- (With P. Gille) Isotopes of Octonion Algebras, G2-Torsors and Triality. Adv. Math. 343 (2019), 864-909 . [Link] [Preprint]
- (With A. Stolin) Lie Bialgebras, Fields of Cohomological Dimension at Most 2 and Hilbert's Seventeenth Problem. J. Algebra 476 (2017), 368–394. [Link] [Preprint]
- Composition Algebras and Outer Automorphisms of Algebraic Groups via Triality. Comm. Algebra 45 (2017), 2401–2416. [Link] [Preprint]
- Classification of the Finite-Dimensional Real Division Composition Algebras having a Non-Abelian Derivation Algebra. J. Algebra 445 (2016), 35–77. [Link] [Preprint]
- An Approach to Finite-Dimensional Real Division Composition Algebras through Reflections. Bull. Sci. Math. 139 (2015), 357–399. [Link]
- (With J. Serra) Connective Segmentation Generalized to Arbitrary Complete Lattices. In: P. Soille, M. Pesaresi, and G. K. Ouzounis (Eds.): ISMM 2011, LNCS 6671 (2011), 61–72. [Link]