William Hornslien


I’m a second year PhD student in mathematics at NTNU in Trondheim, Norway.


Research interests

Motivic homotopy theory

Toric topology

Spectral sequences



The group structure on the automorphisms of the projective line (In preparation, with V. Barth, G. Quick and G. Wilson)

Localized nanoscale induction by single domain magnetic particles (Preprint, 2022, with M. Christiansen, N. Mirkhani, S. Schuerle)

Computing motivic homotopy classes on the projective line by algebro-geometric methods (Master thesis 2020)

Derivation relations and duality for multiple zeta values (Research memoir, 2018, with V. Barth and K. Ebrahimi-Fard)



A1-homotopy classes of endomorphisms of the projective line – July 21, 2022 (Young Topologist Meeting 2022)

A1-homotopy classes of endomorphisms of the projective line – June 23, 2022 (University of Sheffield Topology Seminar)

Understanding the motivic homotopy group of motivic spheres – March 30, 2022 (NTNU Topology Seminar)



Rooted Tree Maps (library for computing relations between multiple zeta values, using rooted trees)



Email: william.hornslien(at)ntnu.no

Physically: Sentralbygg 2, 856, NTNU Gløshaugen