• A Arithmetic Geometry and Representation Theory

  A01 Automorphic forms and the p-adic Langlands programme
  A02 Moduli spaces of p-adic Galois representations
  A03 Special cycles on moduli spaces of G-shtukas
  A04 New cohomology theories for arithmetic schemes

• B Differential Geometry and Analysis

  B01 Curvature and Symmetry
  B02 Geometric evolution equations
  B03 Moduli spaces of metrics of positive curvature
  B04 Harmonic maps and symmetry
  B05 Scalar curvature in Kähler geometry

   

• C Topology and Group Theory

  C01 Automorphisms and embeddings of manifolds
  C02 Homological algebra for stable ∞-categories
  C03 K-theory of group algebras
  C04 Hyperbolic groups acting sharply 2- or 3-transitively and the Burnside problem
  C05 Rigidity of group topologies and universal minimal flows

• D Operator Algebras and Noncommutative Geometry

  D01 Amenable dynamics via C*-algebras
  D02 Exotic crossed products and the Baum–Connes conjecture
  D03 Integrability
  D04 Entropy, orbit equivalence, and dynamical tilings