Who am I

I am a fourth-year PhD-student at the math department at NTNU in Trondheim under supervision of Drew Heard. I am broadly interested in stable homotopy theory, tensor triangulated geometry and their relationship with spectral algebraic geometry and synthetic spectra.

Starting September 2026, I will join the algebraic topology group at FU Berlin as a postdoc.

Please feel free to contact me on marius.v.b.nielsen (at) ntnu (dot) no

Projects

• On the Geometrization of synthetic spectra. Draft available upon request.

Papers

• The formal spectrum of a tensor-triangulated category. Joint with Drew Heard, submitted.
• The presentable stable envelope of an exact category. Joint with Christoph Winges, accepted for publication in Algebraic and Geometric Topology.

Expository writing

• Chromatic homotopy theory, from the perspective of formal groups . Written notes I did as part of a PhD level seminar course I did at NTNU spring 2023. These notes acted as talking points for the seminar I gave as my exam.
• The Q-shaped Derived Category. My masters thesis supervised by Henrik Holm at the University of Copenhagen in block 3 and 4 2021/2022.
• Idempotent algebras and stable recollement. Notes from a talk I gave in “Topics In Algebraic Topology” at the University of Copenhagen in block 2 2021/2022.
• Monadicity of the Bousfield-Kuhn functor. Notes from a talk I gave in “Topics In Algebraic Topology” at the University of Copenhagen in block 2 2020/2021.
• Stable infinity-categories. Notes from a talk I gave in “Topics In Algebraic Topology” at the University of Copenhagen in block 2 2020/2021.
• On Homotopy Colimits. My Bachelors thesis supervised by Piotr Pstrągowski at the University of Copenhagen in block 3 and 4 2019/2020.
• Tannaka Duality. Project out of course scope supervised by Thomas Wassermann at the University of Copenhagen in block 3 and 4 2018/2019.

CV

• CV.