Showing math.AGShow all
3 papers · 1 filter
math.AG2026
Certifying Galois/monodromy Actions via Homotopy Graphs
Timothy Duff, Kisun Lee
We develop a certified numerical algorithm for computing Galois/monodromy groups of parametrized polynomial systems. Our approach employs certified homotopy path tracking to guaran…
math.AG2025
Brackets and Projective Geometry in Macaulay2
Dalton Bidleman, Timothy Duff, Jack Kendrick +1
We introduce the Brackets package for the computer algebra system Macaulay2, which provides convenient syntax for computations involving the classical invariants of the special lin…
math.AG2025
A Galois-Theoretic Complexity Measure for Solving Systems of Algebraic Equations
Timothy Duff
Motivated by applications of algebraic geometry, we introduce the Galois width, a quantity characterizing the complexity of solving algebraic equations in a restricted model of com…