Research

I am interested in a variety of topics, usually centered around mathematics, philosophy and politics. Generally speaking I am interested in uncertainty, how information is structured, relationships between geometry and algebra, emergence and how information fuses and aggregates from a local to a global level. This below list contains only research publications – for others, see here.

Papers

• Positselski duality in \(\infty\)-categories
  Torgeir Aambø
  To appear in Mathematica Scandinavica (arXiv)

• Algebraicity in monochromatic homotopy theory
  Torgeir Aambø
  Algebraic & Geometric Topology 25:9 (2025), pp. 5665–5692 (arXiv)

Preprints

• Possibilistic operators in Formal Concept Analysis as Kan extensions
  Torgeir Aambø
  (arXiv:2607.26776)

• Collective deterrence as a classification problem: Voting rules, deterrence credibility, and escalation risk
  Torgeir Aambø
  (arXiv:2604.08482) (Submitted)

• A categorical formalization of epistemic uncertainty frameworks
  Torgeir Aambø
  (arXiv:2603.04188) (Submitted)

• 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)