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math.NT2026
Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroups
Theo Chinn, Junshu Feng, Stephan Ramon Garcia +1
We investigate matrices with entries in a number field such that some positive power has all its entries in the corresponding ring of integers. Our work generalizes previous result…
math.OA2026
Rapidly growing AF algebras
Konrad Aguilar, Stephan Ramon Garcia, Evelyne Knight +2
We introduce certain families of AF algebras associated to Bratteli diagrams arising from numerical semigroup theory, a branch of combinatorics. Curry-Schoenberg B-splines, staples…
math.FA2026
On -partial isometries: spectra, weighted shifts, and similarity
Mohamed Amine Aouichaoui, Michał Buchała, Stephan Ramon Garcia
The aim of this paper is to study -partial isometries on Hilbert spaces, a natural extension of partial isometries and -isometries. We establish structural and spectral resul…