3 papers
math.RA2026
A necessary condition for solvability by radicals
Askold Khovanskii
This note was prepared as a handout for the MAT401 course ``Polynomial equations and fields", taught at the University of Toronto in Spring 2026. It presents a proof of a necessary…
math.NT2026
Galois theory for finite fields
Askold Khovanskii
This note presents Galois theory for finite fields. It was written as a handout for the MAT401 course ``Polynomial equations and fields'' taught at the University of Toronto in Spr…
math.CO2026
Valuations on polyhedra and topological arrangements
Askold Khovanskii, Valentina Kiritchenko, Vladlen Timorin
We revisit a classical theme of (general or translation invariant) valuations on convex polyhedra. Our setting generalizes the classical one, in a ``dual'' direction to previously…