7 papers
Eigenforms of hyperelliptic curves with many automorphisms
Eduard Duryev, Leonid Monin
Given a pair of translation surfaces it is very difficult to determine whether they are supported on the same algebraic curve. In fact, there are very few examples of such pairs. I…
Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming
Laurent Manivel, Mateusz Michałek, Leonid Monin +2
We establish connections between: the maximum likelihood degree (ML-degree) for linear concentration models, the algebraic degree of semidefinite programming (SDP), and Schubert ca…
Cohomology rings of toric bundles and the ring of conditions
Johannes Hofscheier, Askold Khovanskii, Leonid Monin
The celebrated BKK Theorem expresses the number of roots of a system of generic Laurent polynomials in terms of the mixed volume of the corresponding system of Newton polytopes.Puk…
Maximum likelihood degree, complete quadrics and -action
Mateusz Michałek, Leonid Monin, Jarosław Wiśniewski
We study the maximum likelihood (ML) degree of linear concentration models in algebraic statistics. We relate it to an intersection problem on the variety of complete quadrics. Thi…
On normalizations of Thurston measure on the space of measured laminations
Leonid Monin, Vanya Telpukhovskiy
The space of measured laminations associated to a topological surface of genus with punctures is an integral piecewise linear manifold of real dimensi…
Overdetermined Systems of Equations on Toric, Spherical, and Other Algebraic Varieties
Leonid Monin
Let be a collection of linear series on an algebraic variety over . That is, is a finite dimensional subspace of…