Combinatorial analysis.

Analyse combinatoire.

Combinatorics > Algebraic combinatorics > Symmetric functions and generalizations.

Commutative algebra > Arithmetic rings and other special rings > Cluster algebras.

Convex and discrete geometry > Polytopes and polyhedra > Combinatorial properties (number of faces, shortest paths, etc.).

Statistical mechanics, structure of matter > Equilibrium statistical mechanics > Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs.

Algebraic geometry > Projective and enumerative geometry > Classical problems, Schubert calculus.