Research
Categorical and combinatorial aspects of algebra and geometryThe five-sequence of adjoints for combinatorial simplicial complexes
Teaching
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
Publications
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.
Projects
- 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