287 citations · 1.4k across the 60 of their papers we have counts for
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Quantum invariants via Hopf algebras and solutions to the Yang-Baxter equation
Leandro Vendramin
The fundamental problem of knot theory is to know whether two knots are equivalent or not. As a tool to prove that two knots are different, mathematicians have developed various in…
Combinatorial solutions to the reflection equation
Agata Smoktunowicz, Leandro Vendramin, Robert Weston
We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to const…
Problems on skew left braces
Leandro Vendramin
Braces were introduced by Rump as a generalization of Jacobson radical rings. It turns out that braces allow us to use ring-theoretic and group-theoretic methods for studying invol…
Skew left braces of nilpotent type
Ferran Cedo, Agata Smoktunowicz, Leandro Vendramin
We study series of left ideals of skew left braces that are analogs of upper central series of groups. These concepts allow us to define left and right nilpotent skew left braces.…
On skew braces and their ideals (with an Appendix by Agata Smoktunowicz)
A. Konovalov, A. Smoktunowicz, L. Vendramin
We define combinatorial representations of finite skew braces and use this idea to produce a database of skew braces of small size. This database is then used to explore different…