3 papers
math-ph2026
Topological Classification of Insulators: III. Non-interacting Spectrally-Gapped Systems in All Dimensions
Jui-Hui Chung, Jacob Shapiro
We study non-interacting electrons in disordered materials which exhibit a spectral gap, in each of the ten Altland--Zirnbauer symmetry classes, in all space dimensions. We define…
cs.LG2025
Goedel-Prover-V2: Scaling Formal Theorem Proving with Scaffolded Data Synthesis and Self-Correction
Yong Lin, Shange Tang, Bohan Lyu +17
We introduce Goedel-Prover-V2, a series of open-source language models that set a new state-of-the-art in automated theorem proving. Built on the standard expert iteration and rein…
math.FA2025
Essentially Commuting with a Unitary
Jui-Hui Chung, Jacob Shapiro
Let be a unitary operator whose spectrum is the circle. We show that the set of unitaries which essentially commute with (i.e., is compact) is path-…