1 citations · 1 across the 11 of their papers we have counts for
12 papers
A single radiation hard pixel detector for proton dosimetry, imaging, energy resolution and beam monitoring
Nico Frederic Brosda, Stephane Higueret, Nicolas Arbor +7
Proton therapy enables highly conformal tumour irradiation by exploiting the Bragg peak. Clinical precision relies on detector systems that provide linearity, spatial resolution, r…
Fourier Analysis and Idempotents in Quandle Algebras
Mohamed Elhamdadi, Luc Ta, Bryce Virgin
In 2023, the first author, Nunez, Singh, and Swain [10] formulated an analogue of Kaplansky's idempotent conjecture for integral quandle rings. In this paper, we develop a new Four…
Idempotents, automorphism groups, and commutator widths of quandle algebras
Birama Sangare, Luc Ta
The paper develops the theory of quandle algebras. We show that over integral domains of characteristic other than 2, quandle algebras of ordered commutative quandles have no nontr…
On medial Latin quandles and affine modules
Luc Ta
In this note, we show that the category of Latin (resp. commutative) medial quandles is equivalent to the category of affine modules over a certain Laurent polynomial ring (resp. t…
From affine algebraic racks to Leibniz algebras and Yang-Baxter operators
Luc Ta
We introduce analogues of algebraic groups called algebraic racks, which are pointed rack objects in the category of schemes over a ground field. Addressing a problem of Loday, we…
Distinguishing Power of 4-Legendrian Permutation Racks
Luc Ta, Peyton Phinehas Wood
We study 4-Legendrian racks and their effectiveness at distinguishing Legendrian knots. We prove that permutation racks with 4-Legendrian rack structures cannot distinguish Legendr…
Groups versus quandle-like invariants of 3-manifolds
Luc Ta
Risandles are nonassociative algebraic structures recently introduced to construct invariants of 3-manifolds. In this note, we show that the categories of groups and nonempty, fait…
Good involutions of twisted conjugation subquandles and Alexander quandles
Luc Ta
We completely describe good involutions of free quandles and subquandles of twisted conjugation quandles of groups, including all Alexander quandles. As an application, we enumerat…
Enumeration of virtual quandles up to isomorphism
Luc Ta
Virtual racks and virtual quandles are nonassociative algebraic structures based on the Reidemeister moves of virtual knots. In this note, we enumerate virtual dihedral quandles an…
Graph quandles: Generalized Cayley graphs of racks and right quasigroups
Luc Ta
This article lays the foundations for an analogue of geometric group theory that studies actions on graphs by right quasigroups, including racks and quandles. We study markings of…
Good involutions of conjugation subquandles
Luc Ta
Posed by Taniguchi, the classification of quandles with good involutions is a difficult question with applications to surface-knot theory. We address this question for subquandles…
Diversity-Fair Online Selection
Ming Hu, Yanzhi Li, Tongwen Wu
Online selection problems arise in applications such as crowdsourcing and recruitment, where decision makers may seek representation across multiple, potentially overlapping demogr…