2 citations · 2 across the 6 of their papers we have counts for
7 papers
Relative Geometric Invariant Theory: Reductive and Non-reductive
Eloise Hamilton, Victoria Hoskins, Joshua Jackson
We construct good quotients for equivariant actions of group homomorphisms on morphisms of schemes. Using Geometric Invariant Theory, we obtain explicit open semistable loci in the…
The science and practice of proportionality in AI risk evaluations
Carlos Mougan, Lauritz Morlock, Jair Aguirre +19
A global challenge in artificial intelligence (AI) regulation lies in achieving effective risk management without compromising innovation and technical progress. The European Union…
Affine Non-Reductive GIT and moduli of representations of quivers with multiplicities
Eloise Hamilton, Victoria Hoskins, Joshua Jackson
We give an explicit approach to quotienting affine varieties by linear actions of linear algebraic groups with graded unipotent radical, using results from projective Non-Reductive…
Complete collineations for maximum likelihood estimation
Gergely Bérczi, Eloise Hamilton, Philipp Reichenbach +1
We import the algebro-geometric notion of a complete collineation into the study of maximum likelihood estimation in directed Gaussian graphical models. A complete collineation pro…
Smoothness of non-reductive fixed point sets and cohomology of non-reductive GIT quotients
Eloise Hamilton
We establish a method for calculating the Poincaré series of moduli spaces constructed as quotients of smooth varieties by suitable non-reductive group actions; examples of such mo…
Three instability stratifications of the stack of Higgs bundles on a smooth projective curve
Eloise Hamilton
We study three instability stratifications of the stack of twisted Higgs bundle of a fixed rank and degree on a smooth complex projective curve. The first is the Harder-Narasimhan…
Classifying complete -subalgebras of
Eloise Hamilton
We address the problem of classifying complete -subalgebras of . A discrete invariant for this classification problem is the semigroup of orders of the…