Publications and Preprints

Publications

1. (with Oliver Leigh)  Explicit Moduli of Superelliptic Curves with Level Structure, Portugaliae Mathematica, To appear, arXiv.

2. Frobenius actions on Del Pezzo surfaces of degree 2, Innovations in Incidence Geometry, To appear, arXiv.

3. Arithmetic and topology of classical structures associated with plane quartics, European Journal of Mathematics, 2023, Volume 9, Issue 4, Article 117, Journal, arXiv.

4. (with Frank Gounelas) Cohomology of moduli spaces of Del Pezzo surfaces, Mathematische Nachrichten, 2023, Vol. 296, p. 80–101, Journal, arXiv.

5. Relations in the tautological ring of the universal curve, Communications in Analysis and Geometry, 2022, Vol. 30, No. 3, p. 501-522 Journal, arXiv.

6. Cohomology of Complements of Toric Arrangements Associated with Root Systems, Research in the Mathematical Sciences, 2022, Vol. 9, Issue 1:9, Journal, arXiv.

7. (with Jonas Bergström) The equivariant Euler characteristic of A_3[2], Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 2020, Vol. XX, Issue 4, p. 1345-1357, Journal, arXiv.

8. On the cohomology of the space of seven points in general linear position , Research in Number Theory, 2020, Volume 6, Issue 4: 48, Journal, arXiv.

9. Equivariant Cohomology of the Moduli Space of Genus Three Curves with Symplectic Level Two Structure via Point Counts, European Journal of Mathematics, 2020, Volume 6, Issue 2, p. 262-320, Journal, arXiv.

10. Equivariant cohomology of moduli spaces of genus three curves with level two structure, Geometriae Dedicata, 2019, Volume 202, Issue 1, p. 165-191, Journal, arXiv.

11. Cohomology of the toric arrangement associated with A_n, Journal of Fixed Point Theory and Applications, 2019, 21:15, Journal, arXiv, Addendum.

Theses

1. Cohomology of arrangements and moduli spaces, PhD Thesis, Stockholm University, 2016, DiVA.

2. Cohomology of the moduli space of curves of genus three with level two structure, Licentiate Thesis, Stockholm University, 2014, DiVA.

Preprints

Reports

1. Utbildning för alla, Slutrapport, Högskolan i Gävle, 2022, Link.

Code

1. CohTorArr: A SageMath package for computations related to the cohomology of complements of toric arrangements. More precisely, given a toric arrangement the package yields the Poincaré polynomial of its complement. If there is a group G acting on the arrangement, the package can determine the cohomology groups of the complement as representations of G. There is also support for computations with arrangements embedded into tori of larger dimensions. GitHub repository