5 citations · 6 across the 6 of their papers we have counts for
9 papers
Stable Coexistence in Ecologies and Games
Türkü Özlüm Çelik, Vincenzo Antonio Isoldi, Irem Portakal +1
We study feasible stable equilibria of Lotka-Volterra systems and their higher-order extensions. We complete the classification of impossible ecological interaction networks with a…
Strata of Ecological Coexistence via Grassmannians
Türkü Özlüm Çelik, Pierre A. Haas, Georgy Scholten +2
We study the Lotka--Volterra system from the perspective of computational algebraic geometry, focusing on equilibria that are both feasible and stable. These conditions stratifies…
Crossing the transcendental divide: from translation surfaces to algebraic curves
Türkü Özlüm Çelik, Samantha Fairchild, Yelena Mandelshtam
We study constructing an algebraic curve from a Riemann surface given via a translation surface, which is a collection of finitely many polygons in the plane with sides identified…
The Dubrovin threefold of an algebraic curve
Daniele Agostini, Türkü Özlüm Çelik, Bernd Sturmfels
The solutions to the Kadomtsev-Petviashvili equation that arise from a fixed complex algebraic curve are parametrized by a threefold in a weighted projective space, which we name a…
Theta surfaces
Daniele Agostini, Türkü Özlüm Çelik, Julia Struwe +1
A theta surface in affine 3-space is the zero set of a Riemann theta function in genus 3. This includes surfaces arising from special plane quartics that are singular or reducible.…
Optimal Transport to a Variety
T. Ö. Çelik, A. Jamneshan, G. Montúfar +2
We study the problem of minimizing the Wasserstein distance between a probability distribution and an algebraic variety. We consider the setting of finite state spaces and describe…
On the eigenpoints of cubic surfaces
Türkü Özlüm Celik, Francesco Galuppi, Avinash Kulkarni +1
We show that the eigenschemes of symmetric tensors are parametrized by a linear subvariety of the Grassmannian . We also…
Tritangents and Their Space Sextics
Turku Ozlum Celik, Avinash Kulkarni, Yue Ren +1
Two classical results in algebraic geometry are that the branch curve of a del Pezzo surface of degree 1 can be embedded as a space sextic curve and that every space sextic curve h…
Non-ordinary curves with a Prym variety of low -rank
Turku Ozlum Celik, Yara Elias, Burcin Gunes +4
If is an unramified double cover of a smooth curve of genus , then the Prym variety is a principally polarized abelian variety of dimension . When is…