Author

Xiaoyu Huang

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Preprint Aug 2026

The Mathieu group $M_{23}$ is a Galois group over $\mathbb{Q}$

Researchers studying the inverse Galois problem realized 25 of the 26 sporadic finite simple groups as Galois groups over $\mathbb{Q}$ during 1984--1989. We complete this program by proving that the last remaining sporadic group, the Mathieu group $M_{23}$, occurs as a Galois group over $\mathbb{Q}$. In fact, we produc...

Xiaoyu Huang, Blake Jackson, Kyu-Hwan Lee et al. · 0 citations

#machine learning Jul 2026

Decision trees, Frobenius traces, and Weierstrass coefficients of elliptic curves

We investigate the extent to which the coefficients $(w_1,w_2,w_3,w_4,w_6)$ of the reduced minimal Weierstrass model of an elliptic curve $E/\mathbb{Q}$ are determined by the Dirichlet coefficients $a_n(E)$ of its $L$-function, whose values at primes of good reduction are the Frobenius traces of $E$. We prove that $w_1...

Barinder S. Banwait, Xiao-Yu Huang, Kyu-Hwan Lee et al. · arXiv.org · 0 citations