Advances in Mathematics

Article	Citations
A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics	60
Thresholds, valuations, and K-stability	58
Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium	54
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	33
The L-Brunn-Minkowski inequality for p < 1	26
Large deviations of subgraph counts for sparse Erdős–Rényi graphs	25
Bergman projection induced by radial weight	25
The metric property of the quantum Jensen-Shannon divergence	24
Edge states and the valley Hall effect	23
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions	23
Asymptotic method of moving planes for fractional parabolic equations	23
Integration and geometrization of Rota-Baxter Lie algebras	23
Morse index of multiplicity one min-max minimal hypersurfaces	22
Duality of subregular W-algebras and principal 22
The Calderón inverse problem for isotropic quasilinear conductivities	21
The Minkowski problem in Gaussian probability space	21
Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi–Yau 4-folds	21
On the hydrostatic approximation of the Navier-Stokes equations in a thin strip	20
Beta polytopes and Poisson polyhedra: f-vectors and angles	20
From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture	20
Late-time asymptotics for the wave equation on extremal Reissner–Nordström backgrounds	19
Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities	19
Extrapolation for multilinear Muckenhoupt classes and applications	18
Higher order energy functionals	18
Curve counting and DT/PT correspondence for Calabi-Yau 4-folds	18

Commutators and images of noncommutative polynomials	17
Coxeter submodular functions and deformations of Coxeter permutahedra	17
Existence and nonexistence of extremals for critical Adams inequalities in 17
Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry	17
Representations of mock theta functions	16
Gluing vertex algebras	16
C1 density of stable ergodicity	16
Parametric Furstenberg Theorem on random products of SL(	16
Truncated Hecke-Rogers type series	16
Quantum toroidal and shuffle algebras	15
Quasi-periodic incompressible Euler flows in 3D	15
Uniqueness and non–uniqueness of prescribed mass NLS ground states on metric graphs	15
Asymptotic behaviors of global solutions to the two-dimensional non-resistive MHD equations with large initial perturbations	14
Nijenhuis geometry	14
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering	14
Tensor categories arising from the Virasoro algebra	14
The B-model connection and mirror symmetry for Grassmannians	14
Categorical polynomial entropy	14
Lifting problem for universal quadratic forms	14
Hessian estimates for equations involving p-Laplacian via a fundamental inequality	14
Reconstruction of groupoids and C⁎-rigidity of dynamical systems	13
Non-symmetric stable operators: Regularity theory and integration by parts	13
Fourier transform of self-affine measures	13
On Chen's biharmonic conjecture for hypersurfaces in R	13
Virtual classes and virtual motives of Quot schemes on threefolds	13
Genuine equivariant operads	13
Harmonic mean curvature flow and geometric inequalities	12
Alexandrov-Fenchel type inequalities in the sphere	12
Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel	12
Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group	12
Classification of solutions of an equation related to a conformal log Sobolev inequality	12
The structure theory of nilspaces III: Inverse limit representations and topological dynamics	12
Schellekens' list and the very strange formula	12
Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles	12
Semi-derived Ringel-Hall algebras and Drinfeld double	12
Pure pairs. I. Trees and linear anticomplete pairs	12
Angles of random simplices and face numbers of random polytopes	12
Jump inequalities for translation-invariant operators of Radon type on	11
Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points	11
Periodic Jacobi matrices on trees	11
On point spectrum of critical almost Mathieu operators	11
Poincaré–Birkhoff–Witt isomorphisms and Kapranov dg-manifolds	11
Radical and weight of skew braces and their applications to structure groups of solutions of the Yang–Baxter equation	11
The Abel map for surface singularities II. Generic analytic structure	11
Stability conditions and the A2 quiver	11
Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology	11
Super-exponential stability for generic real-analytic elliptic equilibrium points	11
C⁎-stability of discrete groups	11
Boundedness of (ϵ,n)-complements for surfaces	11
Estimates for Liouville equation with quantized singularities	10

Metric connections with parallel skew-symmetric torsion	10
The singular Weinstein conjecture	10
Nested Hilbert schemes on surfaces: Virtual fundamental class	10
Dolbeault cohomology for almost complex manifolds	10
The structure of doubly non-commuting isometries	10
Yoneda lemma for enriched ∞-categories	10
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics	10
Non-negative solutions to fractional Laplace equations with isolated singularity	10
Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces	10
Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type	10
Hypergraph Lagrangians I: The Frankl-Füredi conjecture is false	10
Purity of reciprocity sheaves	10
Exact Ramsey numbers of odd cycles via nonlinear optimisation	10
The efficient certification of knottedness and Thurston norm	10
Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds	10
Brunn-Minkowski type inequalities for the lattice point enumerator	10
Birational boundedness of rationally connected Calabi–Yau 3-folds	10
On the deformed Pearcey determinant	10
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms	10
Dynamics of generalized hyperbolic linear operators	10
A semi-small decomposition of the Chow ring of a matroid	10
The moduli space of matroids	9
Nonexistence of solutions for indefinite fractional parabolic equations	9
A Drinfeld type presentation of affine ıquantum groups I: Split ADE type	9
Entropy along expanding foliations	9
Lower bounds for multicolor Ramsey numbers	9
The wall-chamber structures of the real Grothendieck groups	9
The higher order fractional Calderón problem for linear local operators: Uniqueness	9
Brouwer degree for Kazdan-Warner equations on a connected finite graph	9
On the existence of conic Kähler-Einstein metrics	9
Koszul algebras and quadratic duals in Galois cohomology	9
Matroids are not Ehrhart positive	9
Infinite measure mixing for some mechanical systems	9
Finite-dimensional differential graded algebras and their geometric realizations	9
Quantum groups and Nichols algebras acting on conformal field theories	9
Constructing finite simple solutions of the Yang-Baxter equation	9
3d mirror symmetry and quantum K-theory of hypertoric varieties	9
Skew localizer andZ2	9
An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives	9
A mean counting function for Dirichlet series and compact composition operators	9
The Gromov-Hausdorff propinquity for metric spectral triples	9
The C0 estimate for the quaternionic Calabi conjecture	9
Cohen-Macaulay differential graded modules and negative Calabi-Yau configurations	9
Regular subsonic-sonic flows in general nozzles	9
Boundary layer separation and local behavior for the Steady Prandtl equation	9
Trialities of orthosymplectic W-algebras	8
When are multidegrees positive?	8
Optimal delocalization for generalized Wigner matrices	8
Bilinear forms in Weyl sums for modular square roots and applications	8
Tian's partial C0-estimate implies Hamilton-Tian's conjecture	8
Abstract Goerss-Hopkins theory	8
Virtual cycles of stable (quasi-)maps with fields	8
Turán inequalities for the plane partition function	8
Homotopy-coherent algebra via Segal conditions	8
On the K-theory of truncated polynomial algebras, revisited	8
On well-posedness of the Muskat problem with surface tension	8
On large values of Weyl sums	8
On special L-values of t-modules	8
Uniformity of spectral self-affine measures	8
Theta operators, refined Delta conjectures, and coinvariants	8
Nets of standard subspaces on Lie groups	8
Beurling integers with RH and large oscillation	8
A class of invariant valuations on Lip(S−1)	8
Tropical flag varieties	8
Symmetric group characters as symmetric functions	8
Variational principles for fluid dynamics on rough paths	8
Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds	8
Lagrangian fibers of Gelfand-Cetlin systems	8
On pseudo-Anosov autoequivalences	8
Topology of tensor ranks	8
A variant of Schur's product theorem and its applications	8
Koshliakov zeta functions I: Modular relations	8
The landscape law for the integrated density of states	8
A proof of the compositional Delta conjecture	8
Product theorem for K-stability	8
Morse index versus radial symmetry for fractional Dirichlet problems	8
A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation	7
Stability conditions, cluster varieties, and Riemann-Hilbert problems from surfaces	7
Dirichlet is not just bad and singular	7
Fusion bialgebras and Fourier analysis	7

Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum	7
A flow approach to the Musielak-Orlicz-Gauss image problem	7
Pentagram maps and refactorization in Poisson-Lie groups	7
Higher central charges and Witt groups	7
A Gutzwiller trace formula for stationary space-times	7
Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature	7
Shadowing, finite order shifts and ultrametric spaces	7
Complete logarithmic Sobolev inequalities via Ricci curvature bounded below	7
Sublinearly Morse boundary I: CAT(0) spaces	7
Amalgamation and Ramsey properties of L spaces	7
Conformal geometry of embedded manifolds with boundary from universal holographic formulæ	7
Geometrical logarithmic capacitance	7
The junta method for hypergraphs and the Erdős-Chvátal simplex conjecture	7
Derangements, Ehrhart theory, and local h-polynomials	7
Entropy via preimage structure	7
On some free algebras of orthogonal modular forms	7
Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps	7
On character formulas for simple and tilting modules	7
The tilting theory of contraction algebras	7
On Fujita's freeness conjecture in dimension 5	7
Optimal lower bounds for Donaldson's J-functional	7
Virtual classes of parabolic SL2	7
Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces	7
Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras	7
Covering dimension of Cuntz semigroups	7
Mixing for smooth time-changes of general nilflows	7
The Kato square root problem on locally uniform domains	7
Hodge theory of SKT manifolds	7
L-orthogonality, octahedrality and Daugavet property in Banach spaces	7
Hyperbolic band theory through Higgs bundles	7
Geometric structure of mass concentration sets for pressureless Euler alignment systems	7
Markovian properties of continuous group actions: Algebraic actions, entropy and the homoclinic group	7
Harmonic forms on the Kodaira-Thurston manifold	7
Curvature growth of some 4-dimensional gradient Ricci soliton singularity models	7
Polyhedral parametrizations of canonical bases & cluster duality	7
Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions	7
A graphical category for higher modular operads	7
Emergence via non-existence of averages	7
Maximally-graded matrix factorizations for an invertible polynomial of chain type	7
Cancellation theorem for framed motives of algebraic varieties	7
A stable ∞-category of Lagrangian cobordisms	7
Moduli of curves on Enriques surfaces	6
Extension of Killing vector fields beyond compact Cauchy horizons	6
Foam evaluation and Kronheimer–Mrowka theories	6
Transitivity of Kim-independence	6
Tangle-tree duality in abstract separation systems	6
Universal degeneracy classes for vector bundles on P	6
Admissible speeds in spatially periodic bistable reaction-diffusion equations	6
Algebraic Calderón-Zygmund theory	6
Continuity of delta invariants and twisted Kähler–Einstein metrics	6
Uniform Roe coronas	6
On emergence and complexity of ergodic decompositions	6
Adelic models of tensor-triangulated categories	6
Higher dimensional generalizations of the Thompson groups	6
Characterisation of homotopy ribbon discs	6
Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori	6
Single and multiple recurrence along non-polynomial sequences	6
Jensen polynomials for the Riemann xi-function	6
Ribbon homology cobordisms	6
Four deviations suffice for rank 1 matrices	6
The Eisenstein ideal with squarefree level	6
Higher order local Dirichlet integrals and de Branges-Rovnyak spaces	6
Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes	6
A motivic global Torelli theorem for isogenous K3 surfaces	6
Spectral dimensions of Kreĭn–Feller operators and L-spectra	6
Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds	6
Extended r-spin theory in all genera and the discrete KdV hierarchy	6
Tautological stable pair invariants of Calabi-Yau 4-folds	6
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness	6
Flat vs. filtered colimits in the enriched context	6
Likelihood degenerations	6
Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras	6
The closures of test configurations and algebraic singularity types	6
Stability conditions on threefolds with nef tangent bundles	6
Weak convergence and spectrality of infinite convolutions	6
The nuclear dimension ofO∞	6
Logarithmic concavity for morphisms of matroids	6
K-theory formulas for orthogonal and symplectic orbit closures	6
Cameron-Liebler line classes with parameter x=<	6
Enumerative Galois theory for cubics and quartics	6
The Minkowski equality of filtrations	6
Orientations for DT invariants on quasi-projective Calabi–Yau 4-folds	6
Gevrey regularity for a class of sums of squares of monomial vector fields	6
Moment maps, strict linear precision, and maximum likelihood degree one	6
Finite W-superalgebras via super Yangians	6
Geometric differentiability of Riemann's non-differentiable function	6
New Kakeya estimates using Gromov's algebraic lemma	6
On the Gardner-Zvavitch conjecture: Symmetry in inequalities of Brunn-Minkowski type	6
Obstructions to matricial stability of discrete groups and almost flat K-theory	6
The pluricomplex Poisson kernel for strongly pseudoconvex domains	6
The gradient flow of infinity-harmonic potentials	6
Zero-entropy dynamical systems with the gluing orbit property	6
Tight-binding reduction and topological equivalence in strong magnetic fields	6
The resolution of the universal Abel map via tropical geometry and applications	6
Weyl's law for the eigenvalues of the Neumann–Poincaré operators in three dimensions: Willmore energy and surface geometry	6