AIM Problem Lists
Explore the AIMPL topic directory alongside the earlier AIM workshop collection. Each imported record preserves its original question, available context, source remarks and dated status notes.
165 directory lists · 3,470 prepared source records · 1,695 additions
Inspected 2026-09-10. Five demonstration lists are excluded. Empty lists remain source pointers. Historical records are marked status unassessed unless the source explicitly reports a resolution; this total is not a count of currently open problems. The 57 PDF workshop lists are available separately and have not been individually transcribed.
Attribution and reuse
AIM Problem Lists (AIMPL), original contributors; CC BY-SA 3.0. Adaptation: structural TeX converted to Markdown, documented source macros expanded, and source bibliography links added. Mathematical wording retained. These adapted source texts remain under CC BY-SA 3.0. Read the license ↗ This license applies to AIMPL text, not automatically to separately linked journal papers or PDF lists.
160 matching lists
Clear filtersinvariants for finitely generated groups
Geometric group theory · 13 linked records
Earlier AIM directory import; original records preserved.
Additive combinatorics and its applications
Combinatorics · 17 linked records
Earlier AIM directory import; original records preserved.
Albertson conjecture and related problems
Combinatorics · 18 linked records · 18 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Algebra, geometry, and combinatorics of link homology
Other · 43 linked records
Earlier AIM directory import; original records preserved.
Algebraic vision
Algebraic geometry · 35 linked records
Earlier AIM directory import; original records preserved.
All roads to the KPZ universality class
Probability · 22 linked records · 22 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Amenability of discrete groups
Geometric group theory · 51 linked records
Earlier AIM directory import; original records preserved.
Analysis and geometry on pseudohermitian manifolds
Analysis · 9 linked records · 9 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Analysis on the hypercube with applications to quantum computing
Analysis · 12 linked records · 12 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Analytic, arithmetic, and geometric aspects of automorphic forms
Number theory · 16 linked records
Earlier AIM directory import; original records preserved.
Arborealization of singularities of Lagrangian skeleta
Geometry · 39 linked records · 39 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Arithmetic golden gates
Number theory · 0 linked records
No nonempty research question records in the inspected list. Retained as a source pointer.
Arithmetic intersection theory on Shimura varieties
Number theory · 11 linked records
Earlier AIM directory import; original records preserved.
Arithmetic reflection groups and crystallographic packings
Number theory · 14 linked records · 14 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Automorphic forms on covering groups
Number theory · 22 linked records
Earlier AIM directory import; original records preserved.
Boltzmann Machines
Probability · 20 linked records
Earlier AIM directory import; original records preserved.
Boundaries of groups
Geometric group theory · 47 linked records · 47 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Brauer groups and obstruction problems
Algebraic geometry · 18 linked records
Earlier AIM directory import; original records preserved.
Categorified Hecke algebras, link homology, and Hilbert schemes
Algebraic geometry · 22 linked records
Earlier AIM directory import; original records preserved.
Cauchy-Riemann equations in several variables
Analysis · 19 linked records
Earlier AIM directory import; original records preserved.
Chromatic homotopy theory and p-adic geometry
Number theory · 13 linked records · 13 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Classification of group von Neumann algebras
Geometric group theory · 29 linked records · 29 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Classifying fusion categories
Uncategorized · 31 linked records
Earlier AIM directory import; original records preserved.
Cluster algebras and braid varieties
Geometry · 33 linked records
Earlier AIM directory import; original records preserved.
Cohomological methods in abelian varieties
Algebraic geometry · 10 linked records
Earlier AIM directory import; original records preserved.
Complexity of CR Mappings
Several complex variables · 5 linked records · 5 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Components of Hilbert schemes
Algebraic geometry · 33 linked records · 33 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Computational mathematics in computer assisted proofs
Uncategorized · 15 linked records · 15 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Computer assisted proofs for stability analysis of nonlinear waves
Partial differential equations · 13 linked records
Earlier AIM directory import; original records preserved.
Configuration spaces of graphs
Topology · 21 linked records · 21 added this round
Public question bodies, section context, remarks and source status notes retained; nested questions remain grouped.
Extraction gaps and repeated formulations
8 bibliography-only residues were excluded because they do not occur in the inspected question sections. 4 empty question bodies remain source pointers; two other questions explicitly formulated in a title or status note were retained with that location disclosed. 6 exact repeated formulations were merged, keeping each original link. Matching wording with different context remains separate.