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math.GR2025
Geometry over finite local rings: Rigidity and Isospectrality
Yishai Lavi, Ori Parzanchevski
We study the simplicial order complexes obtained from free modules over finite local rings. These complexes arise naturally as geodesic spheres in Bruhat-Tits buildings over non-ar…
math.NT2025
Multi-Qubit Golden Gates
Rahul Dalal, Shai Evra, Ori Parzanchevski
Our goal in this paper is to construct optimal topological generators for compact unitary Lie groups, extending the work of a letter of Sarnak and arXiv:1704.02106 on golden and su…