Vol. 309, No. 1, 2020

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Lie 2-algebras of vector fields
1–34

Daniel Berwick-Evans and Eugene Lerman

Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane
35–70

Roberto de A. Capistrano-Filho, Márcio Cavalcante and Fernando A. Gallego

The arithmetic Hodge index theorem and rigidity of dynamical systems over function fields
71–102

Alexander Carney

On the vanishing of the theta invariant and a conjecture of Huneke and Wiegand
103–144

Olgur Celikbas

Algebraic and geometric properties of flag Bott–Samelson varieties and applications to representations
145–194

Naoki Fujita, Eunjeong Lee and Dong Youp Suh

On a modular form of Zaremba's conjecture
195–211

Nikolay G. Moshchevitin and Ilya D. Shkredov

The first nonzero eigenvalue of the $p$-Laplacian on differential forms
213–222

Shoo Seto

Global regularity of the Navier–Stokes equations on 3D periodic thin domain with large data
223–256

Na Zhao