Algebraic geometry, the study of solutions to polynomial equations and their geometric properties, finds rich interplay with class field theory—a branch of number theory that classifies abelian ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

This is a preview. Log in through your library . Abstract We calculate $\mathrm{K}(\mathrm{A}\ltimes \left({\mathrm{A}}^{\oplus \mathrm{k}}\right){)}_{\mathrm{p ...

For any subset 𝑍 ⊆ ℚ, consider the set 𝑆𝑍 of subfields 𝐿 ⊆ ℚ̄ which contain a co-infinite subset 𝐶 ⊆ 𝐿 that is universally definable in 𝐿 such that 𝐶 ∩ ℚ = 𝑍. Placing a natural topology on ...