7 papers
Rational Functions on the Projective Line from a Computational Viewpoint
Eslam Badr, Elira Shaska, Tony Shaska
An explicit invariant-theoretic description of the moduli space of degree-three rational maps on is developed. A cubic map is represented, up…
Weighted Heights and GIT Heights
Elira Shaska, Tony Shaska
We investigate the relationship between Geometric Invariant Theory (GIT) heights and weighted heights, with a focus on their interaction in weighted projective spaces and their app…
Rational Points and Zeta Functions of Humbert Surfaces with Square Discriminant
Elira Shaska, Jorge Mello, Sajad Salami +1
This paper examines the arithmetic of the loci \(\cL_n\), parameterizing genus 2 curves with \((n, n)\)-split Jacobians over finite fields \(\F_q\). We compute rational points \(|\…
Neuro-Symbolic Learning for Galois Groups: Unveiling Probabilistic Trends in Polynomials
Elira Shaska, Tony Shaska
This paper presents a neurosymbolic approach to classifying Galois groups of polynomials, integrating classical Galois theory with machine learning to address challenges in algebra…
Galois groups of polynomials and neurosymbolic networks
Elira Shaska, Tony Shaska
This paper introduces a novel approach to understanding Galois theory, one of the foundational areas of algebra, through the lens of machine learning. By analyzing polynomial equat…
Zgjidhja e ekuacionit të gradës së 5-të
Elira Shaska
An irreducible quintic equation is solvable by radicals if and only if its Galois group is solvable. In this work, we provide necessary and sufficient conditions for solvability, e…