Hopf algebras

Galois theory

Galois orbits

Periods

mixed motives

Tate motives

motivic geometry

algebraic geometry

multiple zeta values

Drinfeld associators

Lie bialgebras

connections

Knizhnik–Zamolodchikov connection

elliptic multiple zeta values

Eisenstein series

11R34 - Galois cohomology [See also 12Gxx, 19A31]

11R32 - Galois theory

11Rxx - Algebraic number theory: global fields {For complex multiplication, see 11G15}

11-xx - Number theory

14-XX - Algebraic geometry

14Cxx - Cycles and subschemes

53B15 - Other connections

32G34 - Moduli and deformations for ordinary differential equations (e.g. Knizhnik-Zamolodchikov equation) [See also 34Mxx]

32G20 - Period matrices, variation of Hodge structure; degenerations [See also 14D05, 14D07, 14K30]

17B62 - Lie bialgebras; Lie coalgebras

11J93 - Transcendence theory of Drinfelʹd and $t$-modules

11Jxx - Diophantine approximation, transcendental number theory [See also 11K60]