Categorical and combinatorial aspects of algebra and geometryThe five-sequence of adjoints for combinatorial simplicial complexes

Spring 2023: MAT121 Linear algebra

Autumn 2023: MAT224 Commutative algebra, MAT642 History of mathematics in ancient times

Spring 2024: MAT643 History of mathematics in recent times

Autumn 2024: Sabbatical

Spring 2025: MAT112 Calculus II, MAT227 Combinatorics

Autumn 2025: MAT221 Discrete mathematics

Spring 2026: MAT228 Algebraic structures 

Autumn 2026: MAT224 Commutative algebra

    Recent publications:

• The five-sequence of adjoints for combinatorial simplicial complexes, arXiv preprint 2026, 23p.
• Polarizations of Artin monomial ideals, arXiv preprint 2025, 46p, to appear in Algebraic Combinatorics.
• Submodular functions, generalized permutahedra, conforming preorders, and cointeracting bialgebras, arXiv preprint 2024, 48p.
• Surprising occurrences of order structures in mathematics, Journal of Computational Dynamics (2024), p.1-23.
• Combinatorial Hopf algebras and restriction species from preorder cuts, Advances in Applied Mathematics, 176, (2026), 50p.
• Eight times four bialgebras of hypergraphs, cointeractions, and chromatic polynomials, International Mathematics Research Notices (2024).
• 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.

• Key member, TMF-project, Lie-størmer-center
• Leader TMS-funded project "Pure mathematics in Norway" 2022-2025
• Workshop: Category theory at work in computational mathematics and theoretical informatics, Bergen 26-30. June, 2023
• Day seminar: Kategoriteori i Norge, Bergen 25. april 2025