Adam Bertelli

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math.NT2025

The structure of the double discriminant

Theresa C. Anderson, Ufuoma V. Asarhasa, Adam Bertelli +2

For a polynomial $f (x) = \sum_{i = 0}^{n} a_{i} x^{i}$ , we study the double discriminant $D D_{n, k} = disc_{a_{k}} disc_{x} f (x)$ . This object has been well studie…

math.NT2024

Galois groups of reciprocal polynomials and the van der Waerden-Bhargava theorem

Theresa C. Anderson, Adam Bertelli, Evan M. O'Dorney

We study the Galois groups $G_{f}$ of degree $2 n$ reciprocal (a.k.a. palindromic) polynomials $f$ of height at most $H$ , finding that $G_{f}$ falls short of the maximal possible group…