Research

This list contains only research publications. For other publications, see here.

Papers

• Algebraicity in monochromatic homotopy theory
  Torgeir Aambø
  Algebraic & Geometric Topology 25:9 (2025) 5665–-5692
  [arXiv:2403.07725][doi:10.2140/agt.2025.25.5665]

• Positselski duality in $\infty$-categories
  Torgeir Aambø
  To appear in Mathematica Scandinavia
  [arXiv:2411.04060]

Preprints

• A categorical formalization of epistemic uncertainty frameworks
  Torgeir Aambø
  [arXiv:2603.04188]

• Classification of localizing subcategories along $t$-structures
  Torgeir Aambø
  [arXiv:2412.09391] (submitted)

• Formality of spaces with Lusternik–Schnirelmann category $1$
  Torgeir Aambø
  [arXiv:2111.06167]

You can find some short poems (limericks) about the main results from the papers here.

Theses

• PhD thesis: Algebraic structures in monochromatic homotopy theory
• Master thesis: On formal dg-algebras
• Bachelor thesis: Naive homotopy theory for schemes