Evan M. O'Dorney

activity

20162026

most citedLarge orbits on Markoff-type K3 surfaces over finite fields

1 citations · 1 across the 13 of their papers we have counts for

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math.NT2026

Galois groups of twisted reciprocal polynomials: a uniform asymptotic

Evan M. O'Dorney

We study the Galois group $G_{f}$ of a random polynomial $f$ in the family of polynomials of degree $2 n$ satisfying the twisted reciprocal relation $f (x) = x^{2 n} / b^{n} \cdot f (b / x)$ .…

math.NT2026

Galois groups of integer polynomials with prescribed coefficients

Evan M. O'Dorney

Fix a degree $n$ , a nonzero integer constant term, and some further coefficients of a monic integer polynomial, leaving $s$ coefficients to vary in $[- H, H]$ . We first prove that, w…

math.HO2026

Updating Tom Lehrer's "The Elements"

Evan M. O'Dorney

We analyze the poetico-comedic criteria by which Tom Lehrer arranged the chemical elements in his 1959 hit "The Elements," a parody to the tune of Gilbert and Sullivan's "The Moder…