Forskning
Kategoriske og kombinatoriske aspekter av algebra og geometri
Undervisning
Vår 2023: MAT121 Lineær algebra
Høst 2023: MAT224 Kommutativ algebra, MAT642 Matematikkens historie i oldtiden
Vår 2024: MAT643 Matematikkens historie i nyere tid
Publikasjoner
Nylige publikasjoner:
- Polarizations of Artin monomial ideals, arXiv preprint 2025, 46p.
- Submodular functions, generalized permutahedra, conforming preorders, and cointeracting bialgebras, arXiv preprint 2024, 48p.
- Suprising occurrences of order structures in mathematics, Journal of Computational Dynamics 2024, p.1-23
- Combinatorial Hopf species and algebras from preorder cuts, arXiv preprint 2023, 40p.
- Eight times four bialgebras of hypergraphs, cointeractions, and chromatic polynomials, International Mathematics Research Notices, (2024), 25p.
- Partitions of vertices and facets in trees and stacked simplicial complexes, Graphs and Combinatorics (2024), p.1-22.
- Triangulations of polygons and stacked simplicial complexes: separating their Stanley-Reisner ideals, Journal of Algebraic Combinatorics, (2022), p.1-28.
- Shift modules, strongly stable ideals, and their dualities, Transactions of the American Mathematical Society, (2023) 44p.
- Profunctors between posets and Alexander duality, Applied Categorical Structures, 31, (2023), p.1-30.
- The universal pre-Lie-Rinehart algebras of aromatic trees, Springer Proceedings of Mathematics and Statistics, 366, (2021), p.137-159.
- Polarizations of powers of graded maximal ideals, Journal of Pure and Applied Algebra, 226, no.5, (2022), 33p.
- Solving non-linear Boolean equation systems by variable eliminiation, Applicable algebra in Engineering, Communication and Computation, (2021) p.1-45.
- Poset ideals of P-partitions and generalized letterplace and determinantal ideals, Acta Mathematica Vietnamica, 44 (2019), no. 1, p.213-241, special issue on Commutative Algebra.
- Pre- and post-Lie algebras: The algebro-geometric view, Proceedings Abel Symposium 2016, 36p.
- Rigid ideals by deforming quadratic letterplace ideals, Journal of Algebra, 510 (2018), p.413-457.
- The Chow Form of the Essential Variety in Computer Vision , Journal of Symbolic Compuation 86 (2018), p.97-119.
Prosjekter
- Leder TMS-prosjekt "Ren matematikk i Norge"
- Workshop: Category theory at work in computational mathematics and theoretical informatics, Bergen 26-30. juni, 2023