Graph quandles: Generalized Cayley graphs of racks and right quasigroups

Luc Ta

Distinguishing Power of 4-Legendrian Permutation Racks

Luc Ta, Peyton Phinehas Wood

From affine algebraic racks to Leibniz algebras and Yang-Baxter operators

Luc Ta

Constructions of and Bounds on the Toric Mosaic Number

Kendall Heiney, Margaret Kipe, Samantha Pezzimenti +2

Bounds on the mosaic number of Legendrian Knots

Margaret Kipe, Samantha Pezzimenti, Leif Schaumann +2

On medial Latin quandles and affine modules

Luc Ta

The paper shows that the categories of Latin and commutative medial quandles are equivalent to categories of affine modules over a Laurent polynomial ring and over the dyadic ratio…

Good involutions of twisted conjugation subquandles and Alexander quandles

Luc Ta

Classification and structure of generalized Legendrian racks

Luc Ta

Enumeration of virtual quandles up to isomorphism

Luc Ta

Idempotents, automorphism groups, and commutator widths of quandle algebras

Birama Sangare, Luc Ta

Groups versus quandle-like invariants of 3-manifolds

Luc Ta

Good involutions of conjugation subquandles

Luc Ta