Simon Becker

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20242026

most citedDirac cones and magic angles in the Bistritzer--MacDonald TBG Hamiltonian

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math.SP2026

Lenses make many points: Pure point spectrum disproves Simon's $L^{2}$ conjecture

Simon Becker, Mengxuan Yang

For every $d \geq 2$ and $0 \leq σ < 1/3$ , we construct with LLM-assistance a smooth bounded nonnegative lens-type potential $V$ with arbitrarily small $\|V\|_\infty+\int_{\mathbb{R}^d}|x|…

Lenses make many points: Pure point spectrum disproves Simon's L2 conjecture

Lenses make many points: Pure point spectrum disproves Simon's $L^{2}$ conjecture