Advances in Mathematics

Article	Citations
Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium	62
On the soliton resolution and the asymptotic stability of N-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions	41
Bergman projection induced by radial weight	32
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions	30
Integration and geometrization of Rota-Baxter Lie algebras	28
The metric property of the quantum Jensen-Shannon divergence	27
The Minkowski problem in Gaussian probability space	26
Asymptotic method of moving planes for fractional parabolic equations	25
The Calderón inverse problem for isotropic quasilinear conductivities	25
Morse index of multiplicity one min-max minimal hypersurfaces	25
Beta polytopes and Poisson polyhedra: f-vectors and angles	23
Duality of subregular W-algebras and principal 23
Commutators and images of noncommutative polynomials	20
Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities	20
Gluing vertex algebras	20
Late-time asymptotics for the wave equation on extremal Reissner–Nordström backgrounds	20
Quasi-periodic incompressible Euler flows in 3D	19
Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry	19
Curve counting and DT/PT correspondence for Calabi-Yau 4-folds	18
Non-symmetric stable operators: Regularity theory and integration by parts	17
Nijenhuis geometry	17
C1 density of stable ergodicity	17
Parametric Furstenberg Theorem on random products of SL(	17
Asymptotic behaviors of global solutions to the two-dimensional non-resistive MHD equations with large initial perturbations	17
Tensor categories arising from the Virasoro algebra	16

Lifting problem for universal quadratic forms	16
Uniqueness and non–uniqueness of prescribed mass NLS ground states on metric graphs	15
Radical and weight of skew braces and their applications to structure groups of solutions of the Yang–Baxter equation	15
Reconstruction of groupoids and C⁎-rigidity of dynamical systems	14
Alexandrov-Fenchel type inequalities in the sphere	14
A semi-small decomposition of the Chow ring of a matroid	14
Angles of random simplices and face numbers of random polytopes	14
Fourier transform of self-affine measures	14
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics	14
Schellekens' list and the very strange formula	14
Categorical polynomial entropy	14
Semi-derived Ringel-Hall algebras and Drinfeld double	14
Pure pairs. I. Trees and linear anticomplete pairs	14
Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles	14
Brouwer degree for Kazdan-Warner equations on a connected finite graph	13
Genuine equivariant operads	13
Classification of solutions of an equation related to a conformal log Sobolev inequality	13
Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points	13
Harmonic mean curvature flow and geometric inequalities	13
On point spectrum of critical almost Mathieu operators	13
Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel	13
The moduli space of matroids	13
On Chen's biharmonic conjecture for hypersurfaces in R	13
Symmetric group characters as symmetric functions	12
Entropy along expanding foliations	12
Dynamics of generalized hyperbolic linear operators	12
Uniformity of spectral self-affine measures	12
Weak convergence and spectrality of infinite convolutions	12
Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology	12
An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives	12
On the deformed Pearcey determinant	12
Quantum groups and Nichols algebras acting on conformal field theories	11
Constructing finite simple solutions of the Yang-Baxter equation	11
Regular subsonic-sonic flows in general nozzles	11
The efficient certification of knottedness and Thurston norm	11
When are multidegrees positive?	11
The singular Weinstein conjecture	11
Koszul algebras and quadratic duals in Galois cohomology	11
Lower bounds for multicolor Ramsey numbers	11
Poincaré–Birkhoff–Witt isomorphisms and Kapranov dg-manifolds	11
Exact Ramsey numbers of odd cycles via nonlinear optimisation	11
Trialities of orthosymplectic W-algebras	11
On the existence of conic Kähler-Einstein metrics	11
A Drinfeld type presentation of affine ıquantum groups I: Split ADE type	11
Boundedness of (ϵ,n)-complements for surfaces	11
Complete logarithmic Sobolev inequalities via Ricci curvature bounded below	11
Dolbeault cohomology for almost complex manifolds	11
Tropical flag varieties	11
Estimates for Liouville equation with quantized singularities	11
Metric connections with parallel skew-symmetric torsion	11

Skew localizer andZ2	11
Nonexistence of solutions for indefinite fractional parabolic equations	11
Boundary layer separation and local behavior for the Steady Prandtl equation	10
Matroids are not Ehrhart positive	10
Turán inequalities for the plane partition function	10
The closures of test configurations and algebraic singularity types	10
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms	10
The wall-chamber structures of the real Grothendieck groups	10
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background	10
The nuclear dimension of O∞	10
Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type	10
Homotopy-coherent algebra via Segal conditions	10
The Gromov-Hausdorff propinquity for metric spectral triples	10
The landscape law for the integrated density of states	10
The higher order fractional Calderón problem for linear local operators: Uniqueness	10
Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces	10
Birational boundedness of rationally connected Calabi–Yau 3-folds	10
Theta operators, refined Delta conjectures, and coinvariants	10
Sublinearly Morse boundary I: CAT(0) spaces	10
Cohen-Macaulay differential graded modules and negative Calabi-Yau configurations	10
Variational principles for fluid dynamics on rough paths	10
Virtual cycles of stable (quasi-)maps with fields	9
The Kato square root problem on locally uniform domains	9
Entropy via preimage structure	9
Hyperbolic band theory through Higgs bundles	9
A mean counting function for Dirichlet series and compact composition operators	9
Koshliakov zeta functions I: Modular relations	9
Covering dimension of Cuntz semigroups	9
Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds	9
3d mirror symmetry and quantum K-theory of hypertoric varieties	9
Tian's partial C0-estimate implies Hamilton-Tian's conjecture	9
Infinite measure mixing for some mechanical systems	9
A proof of the compositional Delta conjecture	9
Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes	9
Morse index versus radial symmetry for fractional Dirichlet problems	9
Bilinear forms in Weyl sums for modular square roots and applications	9
Gröbner geometry of Schubert polynomials through ice	8
The L-continuity of wave operators for higher order Schrödinger operators	8
The tilting theory of contraction algebras	8
Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras	8
On pseudo-Anosov autoequivalences	8
Nets of standard subspaces on Lie groups	8
Likelihood degenerations	8
L-orthogonality, octahedrality and Daugavet property in Banach spaces	8
Feeling the heat in a group of Heisenberg type	8
Derived categories of projectivizations and flops	8
Orientation data for moduli spaces of coherent sheaves over Calabi–Yau 3-folds	8
On well-posedness of the Muskat problem with surface tension	8
Trilinear smoothing inequalities and a variant of the triangular Hilbert transform	8
On the Gardner-Zvavitch conjecture: Symmetry in inequalities of Brunn-Minkowski type	8
Maximal polynomial modulations of singular integrals	8
Abstract Goerss-Hopkins theory	8
Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras	8
Geometric structure of mass concentration sets for pressureless Euler alignment systems	8
Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum	8
Harmonic forms on the Kodaira-Thurston manifold	8
Hodge theory of SKT manifolds	8
Optimal delocalization for generalized Wigner matrices	8
Higher central charges and Witt groups	8
Shadowing, finite order shifts and ultrametric spaces	8
Emergence via non-existence of averages	8
Four deviations suffice for rank 1 matrices	7
The logarithmic Sobolev capacity	7
Spin q–Whittaker polynomials	7
Characterisation of homotopy ribbon discs	7
Supercongruences for rigid hypergeometric Calabi–Yau threefolds	7
Tight-binding reduction and topological equivalence in strong magnetic fields	7
Instantons and annular Khovanov homology	7
A Gutzwiller trace formula for stationary space-times	7
Cancellation theorem for framed motives of algebraic varieties	7
On emergence and complexity of ergodic decompositions	7
On the critical p-Laplace equation	7
A motivic global Torelli theorem for isogenous K3 surfaces	7
Global solutions for the Muskat problem in the scaling invariant Besov space	7
Universality property of the S-functional calculus, noncommuting matrix variables and Clifford operators	7
Ribbon tensor structure on the full representation categories of the singlet vertex algebras	7
Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions	7
Non existence and strong ill-posedness in C and Sobolev spaces for SQG	7
Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces	7
Adelic models of tensor-triangulated categories	7

Sobolev improving for averages over curves in R	7
Planar point sets determine many pairwise crossing segments	7
Cameron-Liebler line classes with parameter x=<	7
Models of Lubin–Tate spectra via Real bordism theory	7
Fusion bialgebras and Fourier analysis	7
Poisson-Lie structures as shifted Poisson structures	7
Stability conditions, cluster varieties, and Riemann-Hilbert problems from surfaces	7
Regularized variational principles for the perturbed Kepler problem	7
A flow approach to the Musielak-Orlicz-Gauss image problem	7
Everything is possible for the domain intersection dom T ∩ dom T⁎	7
Markovian properties of continuous group actions: Algebraic actions, entropy and the homoclinic group	7
Extrapolation on function and modular spaces, and applications	7
Keisler's order is not simple (and simple theories may not be either)	7
The spectral picture and joint spectral radius of the generalized spherical Aluthge transform	7
Factorial relative commutants and the generalized Jung property for II1 factors	7
Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps	7
New Kakeya estimates using Gromov's algebraic lemma	7
Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces	7
Secant non-defectivity via collisions of fat points	7
Breaking the degeneracy barrier for coloring graphs with no K minor	7
Uniform Roe coronas	7
Admissible speeds in spatially periodic bistable reaction-diffusion equations	7
Ribbon homology cobordisms	7
The resolution of the universal Abel map via tropical geometry and applications	7
On the passage from finite braces to pre-Lie rings	7
Jensen polynomials for the Riemann xi-function	7
Conformal geometry of embedded manifolds with boundary from universal holographic formulæ	7
Transitivity of Kim-independence	7
The junta method for hypergraphs and the Erdős-Chvátal simplex conjecture	7
Continuity of delta invariants and twisted Kähler–Einstein metrics	7
Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems	7
Higher order local Dirichlet integrals and de Branges-Rovnyak spaces	7
C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems	7
Dirichlet is not just bad and singular	7
Spectral metric and Einstein functionals	7
Stable blowup for the supercritical hyperbolic Yang-Mills equations	7
Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou	7
Non-central sections of the simplex, the cross-polytope and the cube	7
Mixing for smooth time-changes of general nilflows	7
Optimal lower bounds for Donaldson's J-functional	7
Pentagram maps and refactorization in Poisson-Lie groups	7
Stability of elliptic function solutions for the focusing modified KdV equation	6
On a two dimensional nonlocal shallow-water model	6
On the p-Bergman theory	6
Extension of Killing vector fields beyond compact Cauchy horizons	6
Minimal bad sequences are necessary for a uniform Kruskal theorem	6
Existence of semistable sheaves on Hirzebruch surfaces	6
The Minkowski equality of filtrations	6
Foam evaluation and Kronheimer–Mrowka theories	6
Ancient solutions to nonlocal parabolic equations	6
Dirac series for complex classical Lie groups: A multiplicity-one theorem	6
Algebraic Calderón-Zygmund theory	6
A variational principle in the parametric geometry of numbers	6
Flat vs. filtered colimits in the enriched context	6
Regularity of quasi-linear equations with Hörmander vector fields of step two	6
Tangle-tree duality in abstract separation systems	6
Irreducible cone spherical metrics and stable extensions of two line bundles	6
Ambidexterity and height	6
A proof of the mod 4 unimodal sequence conjectures and related mock theta functions	6
New Brezis–Van Schaftingen–Yung–Sobolev type inequalities connected with maximal inequalities and one parameter families of operators	6
An unconditional GL large sieve	6
Complexity aspects of local minima and related notions	6
The gradient flow of infinity-harmonic potentials	6
Indeterminacy estimates and the size of nodal sets in singular spaces	6
Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group O(p,q)	6
The incompressible Euler equations under octahedral symmetry: Singularity formation in a fundamental domain	6
Special irreducible representations of Leavitt path algebras	6
Local curvature estimates of long-time solutions to the Kähler-Ricci flow	6
Higher order distance-like functions and Sobolev spaces	6
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness	6
Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds	6
Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations	6
Local Hölder and maximal regularity of solutions of elliptic equations with superquadratic gradient terms	6
Hall algebras and quantum symmetric pairs III: Quiver varieties	6
Spectral dimensions of Kreĭn–Feller operators and L-spectra	6
The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients	6
Derived categories of Thaddeus pair moduli spaces via d-critical flips	6
Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation	6
Weyl's law for the eigenvalues of the Neumann–Poincaré operators in three dimensions: Willmore energy and surface geometry	6
Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves	6
Analyticity of resolvents of elliptic operators on quantum graphs with small edges	6
Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality	6
Extended r-spin theory in all genera and the discrete KdV hierarchy	6
Pointwise normality and Fourier decay for self-conformal measures	6
The Eisenstein ideal with squarefree level	6
Nonnegative C2(R2) interpolation	6
Universal degeneracy classes for vector bundles on P	6
Tautological stable pair invariants of Calabi-Yau 4-folds	6
Combinatorial Ricci flows for ideal circle patterns	6
The anti-spherical category	6
The pluricomplex Poisson kernel for strongly pseudoconvex domains	6
Obstructions to matricial stability of discrete groups and almost flat K-theory	6
Uniqueness of solutions to a class of isotropic curvature problems	6
Finite W-superalgebras via super Yangians	6
Hall algebras and quantum symmetric pairs of Kac-Moody type	6