34 citations · 87 across the 15 of their papers we have counts for
18 papers
Shuffling the Deck: Invariant Theory and the Graph Reconstruction Conjecture
Emilie Dufresne, Gabriela Jeronimo, Jenny Kenkel +2
The graph reconstruction conjecture asserts that every simple graph on at least three vertices is uniquely determined by its deck of vertex-deleted subgraphs. In this expository ar…
Nondimensionalization is more science than art
Richard Tanburn, Danny Hendron, Philip Maini +3
When faced with a mathematical model, often the first step is to reduce the complexity of the model by turning variables and parameters into dimensionless quantities. This process…
Equivariant vector bundles on Drinfeld's halfspace over a finite field
Sascha Orlik
Let be Drinfeld's halfspace over a finite field and let be a homogeneous vector bundle on . The paper deals w…
Rees algebras of sparse determinantal ideals
Ela Celikbas, Emilie Dufresne, Louiza Fouli +4
We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a sparse matrix. We prove that their initial alg…
On Some Configurations of Oppositely Charged Trapped Vortices in the Plane
Emilie Dufresne, Heather A Harrington, Panayotis G Kevrekidis +1
Our aim in the present work is to identify all the possible standing wave configurations involving few vortices of different charges in an atomic Bose-Einstein condensate (BEC). In…
Sampling real algebraic varieties for topological data analysis
Emilie Dufresne, Parker B. Edwards, Heather A. Harrington +1
Topological data analysis (TDA) provides a growing body of tools for computing geometric and topological information about spaces from a finite sample of points. We present a new a…
Determinantal Generalizations of Instrumental Variables
Luca Weihs, Bill Robinson, Emilie Dufresne +6
Linear structural equation models relate the components of a random vector using linear interdependencies and Gaussian noise. Each such model can be naturally associated with a mix…
The geometry of sloppiness
Emilie Dufresne, Heather A. Harrington, Dhruva V. Raman
The use of mathematical models in the sciences often involves the estimation of unknown parameter values from data. Sloppiness provides information about the uncertainty of this ta…
Mapping toric varieties into low dimensional spaces
Emilie Dufresne, Jack Jeffries
A smooth -dimensional projective variety can always be embedded into -dimensional space. In contrast, a singular variety may require an arbitrary large ambient space.…
Invariants and Separating Morphisms for Algebraic Group Actions
Emilie Dufresne, Hanspeter Kraft
The first part of this paper is a refinement of Winkelmann's work on invariant rings and quotients of algebraic groups actions on affine varieties, where we take a more geometric p…
Separating Invariants and Local Cohomology
Emilie Dufresne, Jack Jeffries
The study of separating invariants is a recent trend in invariant theory. For a finite group acting linearly on a vector space, a separating set is a set of invariants whose elemen…
Separating invariants for arbitrary linear actions of the additive group
Emilie Dufresne, Jonathan Elmer, Müfit Sezer
We consider an arbitrary representation of the additive group over a field of characteristic zero and give an explicit description of a finite separating set in the corresponding r…
The separating variety for the basic representations of the additive group
Emilie Dufresne, Martin Kohls
For a group acting on an affine variety , the separating variety is the closed subvariety of encoding which points of are separated by invariants. We concent…
Finite separating sets and quasi-affine quotients
Emilie Dufresne
Nagata's famous counterexample to Hilbert's fourteenth problem shows that the ring of invariants of an algebraic group action on an affine algebraic variety is not always finitely…
On the finite generation of additive group invariants in positive characteristic
Emilie Dufresne, Andreas Maurischat
Roberts, Freudenburg, and Daigle and Freudenburg have given the smallest counterexamples to Hilbert's fourteenth problem as rings of invariants of algebraic groups. Each is of an a…
A finite separating set for Daigle and Freudenburg's counterexample to Hilbert's Fourteenth Problem
Emilie Dufresne, Martin Kohls
This paper gives the first explicit example of a finite separating set in an invariant ring which is not finitely generated, namely, for Daigle and Freudenburg's 5-dimensional coun…
The Cohen-Macaulay property of separating invariants of finite groups
Emilie Dufresne, Jonathan Elmer, Martin Kohls
In the case of finite groups, a separating algebra is a subalgebra of the ring of invariants which separates the orbits. Although separating algebras are often better behaved than…
Separating algebras and finite reflection groups
Emilie Dufresne
A separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose elements distinguish between any two orbits that can be distinguished using invariants. In t…