ADVANCES IN MATHEMATICS

Extended affine Weyl groups of BCD-type: Their Frobenius manifolds and Landau–Ginzburg superpotentials

Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities

Kuga-Satake construction and cohomology of hyperkähler manifolds

Simplicial structures in higher Auslander–Reiten theory

Combinatorial construction of Gelfand–Tsetlin modules for gln

Weak quasi-symmetric functions, Rota–Baxter algebras and Hopf algebras

Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations

Π11-comprehension as a well-ordering principle

Minimal Lagrangian connections on compact surfaces

Uniqueness of Coxeter structures on Kac–Moody algebras

Some Hecke-Rogers type identities

Bounded orbits of Diagonalizable Flows on finite volume quotients of products of SL2(R)

Whittaker coinvariants for GL(m|n)

Stability and regularity of solutions of the Monge–Ampère equation on Hermitian manifolds

From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere

An alternating moment condition for bi-freeness

THE SO(3) MONOPOLE COBORDISM AND SUPERCONFORMAL SIMPLE TYPE

Fully nonlinear elliptic equations for conformal deformations of Chern–Ricci forms

Algebraic hyperbolicity of the very general quintic surface in P3

Local systems and finite unitary and symplectic groups

Second order estimate on transition layers

The L2 decay for the 2D co-rotation FENE dumbbell model of polymeric flows

Holonomic and perverse logarithmic D-modules

The Heisenberg group is pan-rational

Analytic geometry over F1 and the Fargues-Fontaine curve

Forward self-similar solutions of the fractional Navier-Stokes equations

Extensions of unipotent groups, Massey products and Galois theory

A Hardy space analysis of the Báez-Duarte criterion for the RH

Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure

Meromorphic vector fields with single-valued solutions on complex surfaces

Derived ℓ-adic zeta functions

L(R) with determinacy satisfies the Suslin hypothesis

Construction of solutions of the critical SQG equation in bounded domains

Hilbert generated Banach spaces need not have a norming Markushevich basis

Witt groups of smooth projective quadrics

Transverse fully nonlinear equations on Sasakian manifolds and applications

Fields of values of odd-degree irreducible characters

Energy minimisers of prescribed winding number in an S1-valued nonlocal Allen-Cahn type model

Deformations and rigidity of ℓ-adic sheaves

Genericity of mode-locking for quasiperiodically forced circle maps

Generalised F-algebras as predual algebras of JBW⁎-triples and characterisations of the Fourier algebras on locally compact groups

The pointwise convergence of Fourier Series (II). Strong L1 case for the lacunary Carleson operator

p-adic estimates of the number of permutation representations

Motivic periods and Grothendieck arithmetic invariants

Dispersive estimate for quasi-periodic Schrödinger operators on 1-d lattices

Mixing properties in expanding Lorenz maps

The computability, definability, and proof theory of Artinian rings