4 papers
Common Real Secants to Pairs of Real Twisted Cubic Curves
Saima Aslam, Matthew Faust, Jonathan D. Hauenstein +5
It is well established that a general pair of twisted cubic curves in complex projective space has ten common secant lines. As an initial investigation, we show that the monodromy…
Inverse Eigenvalue Problems, Floquet Isospectrality and the Hilbert--Chow Morphism
John Cobb, Matthew Faust, Andreas Kretschmer
When can one change the diagonal of a matrix without changing its spectrum? We completely answer this question over an algebraically closed field of characteristic zero or larger t…
LikelihoodGeometry: Macaulay2 Package
David Barnhill, John Cobb, Matthew Faust
This note introduces the package for the computer algebra system . This package gives tools to construct the likelihood correspond…
Likelihood Correspondence of Toric Statistical Models
David Barnhill, John Cobb, Matthew Faust
Maximum likelihood estimation (MLE) is a fundamental problem in statistics. Characteristics of the MLE problem for discrete algebraic statistical models are reflected in the geomet…