3 papers
math.KT2022
Algebraic dependence and Milnor K-theory
Adam Topaz
This paper shows that algebraic (in)dependence is encoded in Milnor K-theory of fields. As an application, we show that the isomorphism type of a field is determined by its Milnor…
math.KT2019
Recovering function fields from their integral -adic cohomology with the Galois action
Adam Topaz
In this note, we consider function fields of higher-dimensional algebraic varieties defined over non-local fields, and show how the Galois action on the cohomology such function fi…
math.NT2015
Abelian-by-Central Galois Groups of Fields II: Definability of Inertia/Decomposition Groups
Adam Topaz
This paper explores some first-order properties of commuting-liftable pairs in pro- abelian-by-central Galois groups of fields. The main focus of the paper is to prove that m…