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math.SP2026
Generic Irreducibility of Bloch Varieties for Periodic Graph Operators
Matthew Faust, Wencai Liu
We give a complete characterization of generic irreducibility for dispersion polynomials and Bloch varieties of periodic graph operators. More precisely, we prove that for a generi…
math.SP2026
A counterexample to Fermi isospectral rigidity for two dimensional discrete periodic Schrödinger operators
Taylor Brysiewicz, Matthew Faust, Wencai Liu
Using numerical certification, we prove the existence of a nontrivial real-valued two dimensional periodic potential whose associated discrete Schrödinger operator is Fermi isospec…