Author

Javier G'omez-Serrano

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Open access Sep 2026

Mathematical discovery and exploration can be done at scale.

AlphaEvolve, introduced in A. Novikov et al. ["AlphaEvolve: A coding agent for scientific and algorithmic discovery" (Tech. Rep., Google DeepMind, 2025).], is a generic evolutionary coding agent that combines large language models (LLMs) with automated evaluation in a loop that proposes, tests, and refines algorithmic...

Bogdan Georgiev, Javier G'omez-Serrano, T. Tao et al. · Proceedings of the National... · 0 citations

Preprint Aug 2026

On The Eaton-Moret\'o Conjecture for Principal Blocks of Finite Groups

Let $G$ be a finite group and let $p$ be a prime. If $P$ is a nonabelian Sylow $p$-subgroup of $G$ and $m(P)$ is the smallest non-linear irreducible character degree of $P$, we prove that there exists $\chi \in {\rm Irr}(G)$ in the principal $p$-block of $G$ such that $1<\chi(1)_p\le m(P)$, giving one inequality of the...

Asier Arranz, Javier G'omez-Serrano, Gabriel Navarro et al. · 1 citation