Volume 203, Issue 2, March 2026

Bethe–Sommerfeld Conjecture and absolutely continuous spectrum of multi-dimensional quasi-periodic Schrödinger operators

Pages 349-470 by Yulia Karpeshina, Leonid Parnovski, Roman Shterenberg

An approach to universality using Weyl $m$-functions

Pages 471-510 by Benjamin Eichinger, Milivoje Lukić, Brian Simanek

Good Locally Testable Codes

Pages 511-553 by Irit Dinur, Shai Evra, Ron Livne, Alexander Lubotzky, Shahar Mozes

A new approach to strong convergence

Pages 555-602 by Chi-Fang Chen, Jorge Garza-Vargas, Joel A. Tropp, Ramon van Handel

A counterexample to Viterbo’s conjecture

Pages 603-622 by Pazit Haim-Kislev, Yaron Ostrover

New large value estimates for Dirichlet polynomials

Pages 623-675 by Larry Guth, James Maynard

Nash blowup fails to resolve singularities in dimensions four and higher

Pages 677-694 by Federico Castillo, Daniel Duarte, Maximiliano Leyton-Álvarez, Alvaro Liendo