The archive by subject
A map of connected mathematics.
146 records across 14 subject pages. A paper can belong to more than one subject. The topic structure comes from the Obsidian Second Brain. Follow the related subjects on each page to move between areas.
Open the research map →Algebra and algebraic geometry
Nilpotent derivations, Lie-theoretic constructions, resonance, and group extensions.
Explore subject →Banach spaces and Banach lattices
Banach geometry, Banach lattices, bases, free constructions, and norm control.
Explore subject →Combinatorics and Ramsey theory
Posets, finite configurations, Ramsey phenomena, vector balancing, and combinatorial obstructions.
Explore subject →Geometric group theory
Quasi-isometry, coarse geometry, fixed points, finiteness properties, and profinite constructions.
Explore subject →Groupoids and Cartan pairs
Weyl groupoids, cohomological lengths, exactness, assembly, and Cartan invariants.
Explore subject →Homological algebra and derived limits
Exact completions, derived limits, phantom filtrations, cohomology, and UCT questions.
Explore subject →Ideals and convergence
Analytic ideals, ideal convergence, critical ideals, Katětov comparisons, and bases.
Explore subject →Lattices and ordered algebra
Free lattices, Heyting spectra, residuation, amalgamation, and ordered algebraic structures.
Explore subject →Measure and ergodic theory
Measure-preserving transformations, joinings, averages, null sets, and measurable groups.
Explore subject →Model theory and definability
Arithmetic interpretation, types, homogeneity, definability, and first-order classification.
Explore subject →Operator algebras
C*-algebras, von Neumann algebras, invariants, representations, and classification.
Explore subject →Ordered groups
Left orders, bi-orders, positive identities, and lattice-ordered groups.
Explore subject →Polish groups and descriptive complexity
Polishability, Borel complexity, orbit relations, and topological group invariants.
Explore subject →Topological dynamics and amenability
Minimal flows, compactifications, concentration, amenability, and symmetry groups.
Explore subject →Topics follow the Second Brain’s classifications, checked 5 November 2026. This edition maps the 146 records in the public catalog. Topic membership does not assert a theorem dependency.