103 citations · 264 across the 55 of their papers we have counts for
26 papers · 1 filter
Set theory, logic, and homeomorphism groups of manifolds
James E. Hanson, Thomas Koberda, J. de la Nuez González +1
We investigate the relationship between axiomatic set theory and the first-order theory of homeomorphism groups of manifolds in the language of group theory, concentrating on first…
The model theory of the curve graph
Valentina Disarlo, Thomas Koberda, J. de la Nuez González
In this paper we develop a bridge between model theory, geometric topology, and geometric group theory. In particular, we investigate the Ivanov Metaconjecture from the point of vi…
Shapes of hyperbolic triangles and once-punctured torus groups
Sang-hyun Kim, Thomas Koberda, Jaejeong Lee +3
Let be a hyperbolic triangle with a fixed area . We prove that for all but countably many , generic choices of have the property that the group generated by the --…
Small actions of semidirect products on compact manifolds
Christian Bonatti, Sang-hyun Kim, Thomas Koberda +1
Let be a compact fibered --manifold, presented as a mapping torus of a compact, orientable surface with monodromy , and let be a compact Riemannian manifold. Our…
A cryptographic application of the Thurston norm
Ramon Flores, Delaram Kahrobaei, Thomas Koberda
We discuss some applications of 3-manifold topology to cryptography. In particular, we propose a public-key and a symmetric-key cryptographic scheme based on the Thurston norm on t…
Commensurators of thin normal subgroups and abelian quotients
Thomas Koberda, Mahan Mj
We give an affirmative answer to many cases of a question due to Shalom, which asks if the commensurator of a thin subgroup of a Lie group is discrete. In this paper, let b…