William Hornslien

 

I’m a fourth year PhD student in mathematics at NTNU in Trondheim, Norway. I’ll be moving to Institut Fourier in Grenoble with Jean Fasel this fall.

 

Research interests

Motivic homotopy theory

Toric topology

Enumerative geometry

 

Writing

There is no Cazanave’s theorem for punctured affine space (In preparation, with T. Brazelton)

Polyhedral products in abstract and motivic homotopy theory (Preprint, 2024)

Polyhedral coproducts (Preprint, 2024, with S. Amelotte and L. Stanton)

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

Homotopy classes of endomorphisms of the projective line – August 28, 2024 (Enumerative geometry beyond spaces at BIRS)

Polyhedral products in motivic homotopy theory – July 31, 2024 (Workshop on polyhedral products at Fields)

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