William Hornslien

 

I’m a fourth year PhD student in mathematics at NTNU in Trondheim, Norway. I’ll be on the job market fall 2024.

 

Research interests

Motivic homotopy theory

Toric topology

Enumerative geometry

 

Writing

Polyhedral coproducts (In preparation, with S. Amelotte and L. Stanton)

Polyhedral products in abstract and motivic homotopy theory (In preparation)

Making the motivic group structure on the endomorphisms of the projective line explicit (Preprint, 2023, with V. Barth, G. Quick and G. Wilson)

Localized nanoscale induction by single domain magnetic particles (Journal of Applied Physics, 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)

 

Speaking

Computing motivic homotopy types of families of hypersurfaces with polyhedral products – February 20, 2024 (EPFL topology seminar)

Polyhedral products in abstract and motivic homotopy theory – September 7-8, 2023 (British Topology Meeting 2023)

Polyhedral products in abstract and motivic homotopy theory – July 28, 2023 (Young Topologist Meeting 2023)

Homotopies of toric varieties and a linear algebra problem I don’t know how to solve – March 8, 2023 (PITA Seminar Trondheim)

A1-homotopy classes of endomorphisms of the projective line – February 8, 2023 (Osnabrück topology seminar)

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)

 

Coding

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

 

Contact

Email: william.hornslien(at)ntnu.no

Physically: 1256 Sentralbygg 2, NTNU Gløshaugen