Advances in Mathematics

Article	Citations
Thresholds, valuations, and K-stability	58
A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics	56
Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium	51
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	32
The L-Brunn-Minkowski inequality for p < 1	25
The metric property of the quantum Jensen-Shannon divergence	24
Bergman projection induced by radial weight	24
Integration and geometrization of Rota-Baxter Lie algebras	23
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions	23
Large deviations of subgraph counts for sparse Erdős–Rényi graphs	23
Edge states and the valley Hall effect	22
Asymptotic method of moving planes for fractional parabolic equations	22
Duality of subregular W-algebras and principal 22
Morse index of multiplicity one min-max minimal hypersurfaces	21
Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi–Yau 4-folds	21
Beta polytopes and Poisson polyhedra: f-vectors and angles	20
On the hydrostatic approximation of the Navier-Stokes equations in a thin strip	20
Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities	19
The Calderón inverse problem for isotropic quasilinear conductivities	19
The Minkowski problem in Gaussian probability space	19
Late-time asymptotics for the wave equation on extremal Reissner–Nordström backgrounds	19
From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture	18
Curve counting and DT/PT correspondence for Calabi-Yau 4-folds	18
Extrapolation for multilinear Muckenhoupt classes and applications	18
Existence and nonexistence of extremals for critical Adams inequalities in 17

Linear response for random dynamical systems	17
Commutators and images of noncommutative polynomials	17
Coxeter submodular functions and deformations of Coxeter permutahedra	17
Gluing vertex algebras	16
Representations of mock theta functions	16
Higher order energy functionals	16
Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry	16
Parametric Furstenberg Theorem on random products of SL(	16
Quantum toroidal and shuffle algebras	15
Quasi-periodic incompressible Euler flows in 3D	15
C1 density of stable ergodicity	15
Uniqueness and non–uniqueness of prescribed mass NLS ground states on metric graphs	15
Truncated Hecke-Rogers type series	15
Nijenhuis geometry	14
Tensor categories arising from the Virasoro algebra	14
3-dimensional defect TQFTs and their tricategories	13
On Chen's biharmonic conjecture for hypersurfaces in R	13
Lifting problem for universal quadratic forms	13
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering	13
Reconstruction of groupoids and C⁎-rigidity of dynamical systems	13
Genuine equivariant operads	13
Virtual classes and virtual motives of Quot schemes on threefolds	12
Pure pairs. I. Trees and linear anticomplete pairs	12
Schellekens' list and the very strange formula	12
Harmonic mean curvature flow and geometric inequalities	12
Categorical polynomial entropy	12
The structure theory of nilspaces III: Inverse limit representations and topological dynamics	12
The B-model connection and mirror symmetry for Grassmannians	12
Asymptotic behaviors of global solutions to the two-dimensional non-resistive MHD equations with large initial perturbations	12
Fourier transform of self-affine measures	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
Poincaré–Birkhoff–Witt isomorphisms and Kapranov dg-manifolds	11
Estimates for Liouville equation with quantized singularities	11
Angles of random simplices and face numbers of random polytopes	11
Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles	11
Boundedness of (ϵ,n)-complements for surfaces	11
Semi-derived Ringel-Hall algebras and Drinfeld double	11
Super-exponential stability for generic real-analytic elliptic equilibrium points	11
Periodic Jacobi matrices on trees	11
C⁎-stability of discrete groups	11
Stability conditions and the A2 quiver	11
Alexandrov-Fenchel type inequalities in the sphere	11
Jump inequalities for translation-invariant operators of Radon type on	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
Hessian estimates for equations involving p-Laplacian via a fundamental inequality	11
Hypergraph Lagrangians I: The Frankl-Füredi conjecture is false	10
Classification of solutions of an equation related to a conformal log Sobolev inequality	10
Purity of reciprocity sheaves	10

Dynamics of generalized hyperbolic linear operators	10
Brunn-Minkowski type inequalities for the lattice point enumerator	10
Birational boundedness of rationally connected Calabi–Yau 3-folds	10
On point spectrum of critical almost Mathieu operators	10
On the deformed Pearcey determinant	10
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms	10
Yoneda lemma for enriched ∞-categories	10
Dirichlet p-Laplacian eigenvalues and Cheeger constants on symmetric graphs	10
Nested Hilbert schemes on surfaces: Virtual fundamental class	10
Dolbeault cohomology for almost complex manifolds	10
Exact Ramsey numbers of odd cycles via nonlinear optimisation	10
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics	10
Functional Brunn-Minkowski inequalities induced by polarity	9
The Gromov-Hausdorff propinquity for metric spectral triples	9
Lower bounds for multicolor Ramsey numbers	9
Regular subsonic-sonic flows in general nozzles	9
Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology	9
The higher order fractional Calderón problem for linear local operators: Uniqueness	9
Infinite measure mixing for some mechanical systems	9
3d mirror symmetry and quantum K-theory of hypertoric varieties	9
Metric connections with parallel skew-symmetric torsion	9
Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces	9
Non-symmetric stable operators: Regularity theory and integration by parts	9
A Drinfeld type presentation of affine ıquantum groups I: Split ADE type	9
Entropy along expanding foliations	9
Finite-dimensional differential graded algebras and their geometric realizations	9
Constructing finite simple solutions of the Yang-Baxter equation	9
The structure of doubly non-commuting isometries	9
Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds	9
Boundary layer separation and local behavior for the Steady Prandtl equation	9
Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points	9
The singular Weinstein conjecture	9
A mean counting function for Dirichlet series and compact composition operators	9
Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type	9
Cohen-Macaulay differential graded modules and negative Calabi-Yau configurations	9
A semi-small decomposition of the Chow ring of a matroid	9
The efficient certification of knottedness and Thurston norm	9
Non-negative solutions to fractional Laplace equations with isolated singularity	9
Skew localizer andZ2	9
The moduli space of matroids	9
Koszul algebras and quadratic duals in Galois cohomology	9
Theta operators, refined Delta conjectures, and coinvariants	8
Topology of tensor ranks	8
Abstract Goerss-Hopkins theory	8
Homotopy-coherent algebra via Segal conditions	8
Product theorem for K-stability	8
On well-posedness of the Muskat problem with surface tension	8
On special L-values of t-modules	8
Lagrangian fibers of Gelfand-Cetlin systems	8
On the existence of conic Kähler-Einstein metrics	8
Tian's partial C0-estimate implies Hamilton-Tian's conjecture	8
An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives	8
A variant of Schur's product theorem and its applications	8
Virtual cycles of stable (quasi-)maps with fields	8
Quantum groups and Nichols algebras acting on conformal field theories	8
Tropical flag varieties	8
On the K-theory of truncated polynomial algebras, revisited	8
Morse index versus radial symmetry for fractional Dirichlet problems	8
Trialities of orthosymplectic W-algebras	8
Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds	8
Nonexistence of solutions for indefinite fractional parabolic equations	8
Uniformity of spectral self-affine measures	8
Matroids are not Ehrhart positive	8
Koshliakov zeta functions I: Modular relations	8
Beurling integers with RH and large oscillation	8
A proof of the compositional Delta conjecture	8
The wall-chamber structures of the real Grothendieck groups	8
Symmetric group characters as symmetric functions	8
Brouwer degree for Kazdan-Warner equations on a connected finite graph	8
When are multidegrees positive?	8
On large values of Weyl sums	8
Bilinear forms in Weyl sums for modular square roots and applications	8
Nets of standard subspaces on Lie groups	7
Higher central charges and Witt groups	7
Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces	7
Shadowing, finite order shifts and ultrametric spaces	7
Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras	7
The C0 estimate for the quaternionic Calabi conjecture	7
Covering dimension of Cuntz semigroups	7
Dirichlet is not just bad and singular	7

The Kato square root problem on locally uniform domains	7
Geometrical logarithmic capacitance	7
A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation	7
A stable ∞-category of Lagrangian cobordisms	7
Derangements, Ehrhart theory, and local h-polynomials	7
On Fujita's freeness conjecture in dimension 5	7
On character formulas for simple and tilting modules	7
Optimal delocalization for generalized Wigner matrices	7
A graphical category for higher modular operads	7
The junta method for hypergraphs and the Erdős-Chvátal simplex conjecture	7
Maximally-graded matrix factorizations for an invertible polynomial of chain type	7
Geometric structure of mass concentration sets for pressureless Euler alignment systems	7
Cancellation theorem for framed motives of algebraic varieties	7
Harmonic forms on the Kodaira-Thurston manifold	7
A class of invariant valuations on Lip(S−1)	7
Mixing for smooth time-changes of general nilflows	7
The tilting theory of contraction algebras	7
Hyperbolic band theory through Higgs bundles	7
A flow approach to the Musielak-Orlicz-Gauss image problem	7
Curvature growth of some 4-dimensional gradient Ricci soliton singularity models	7
A Gutzwiller trace formula for stationary space-times	7
Optimal lower bounds for Donaldson's J-functional	7
L-orthogonality, octahedrality and Daugavet property in Banach spaces	7
Sublinearly Morse boundary I: CAT(0) spaces	7
Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum	7
Turán inequalities for the plane partition function	7
Entropy via preimage structure	7
The landscape law for the integrated density of states	7
Amalgamation and Ramsey properties of L spaces	7
Variational principles for fluid dynamics on rough paths	7
Fusion bialgebras and Fourier analysis	7
Algebraic Calderón-Zygmund theory	6
Geometric differentiability of Riemann's non-differentiable function	6
Tautological stable pair invariants of Calabi-Yau 4-folds	6
Continuity of delta invariants and twisted Kähler–Einstein metrics	6
Uniform Roe coronas	6
On emergence and complexity of ergodic decompositions	6
Tight-binding reduction and topological equivalence in strong magnetic fields	6
Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions	6
Stability conditions, cluster varieties, and Riemann-Hilbert problems from surfaces	6
Weak convergence and spectrality of infinite convolutions	6
Characterisation of homotopy ribbon discs	6
Instantons and annular Khovanov homology	6
Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes	6
Hodge theory of SKT manifolds	6
The incompressible Euler equations under octahedral symmetry: Singularity formation in a fundamental domain	6
Logarithmic concavity for morphisms of matroids	6
The Eisenstein ideal with squarefree level	6
The resolution of the universal Abel map via tropical geometry and applications	6
Spectral dimensions of Kreĭn–Feller operators and L-spectra	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
Polyhedral parametrizations of canonical bases & cluster duality	6
Admissible speeds in spatially periodic bistable reaction-diffusion equations	6
On some free algebras of orthogonal modular forms	6
Obstructions to matricial stability of discrete groups and almost flat K-theory	6
Higher order local Dirichlet integrals and de Branges-Rovnyak spaces	6
Adelic models of tensor-triangulated categories	6
The pluricomplex Poisson kernel for strongly pseudoconvex domains	6
The nuclear dimension ofO∞	6
The closures of test configurations and algebraic singularity types	6
Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras	6
Zero-entropy dynamical systems with the gluing orbit property	6
K-theory formulas for orthogonal and symplectic orbit closures	6
Keisler's order is not simple (and simple theories may not be either)	6
Blaschke–singular–outer factorization of free non-commutative functions	6
Moduli of curves on Enriques surfaces	6
Derived categories of projectivizations and flops	6
Four deviations suffice for rank 1 matrices	6
Orientations for DT invariants on quasi-projective Calabi–Yau 4-folds	6
The Minkowski equality of filtrations	6
Hahn polynomials on polyhedra and quantum integrability	6
On the Gardner-Zvavitch conjecture: Symmetry in inequalities of Brunn-Minkowski type	6
New Kakeya estimates using Gromov's algebraic lemma	6
On pseudo-Anosov autoequivalences	6
Finite W-superalgebras via super Yangians	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
Extended r-spin theory in all genera and the discrete KdV hierarchy	6
Pentagram maps and refactorization in Poisson-Lie groups	6
Higher dimensional generalizations of the Thompson groups	6
Weyl's law for the eigenvalues of the Neumann–Poincaré operators in three dimensions: Willmore energy and surface geometry	6
Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori	6
Ribbon homology cobordisms	6
Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature	6
Local curvature estimates of long-time solutions to the Kähler-Ricci flow	6
Cameron-Liebler line classes with parameter x=<	6
The spectral picture and joint spectral radius of the generalized spherical Aluthge transform	6
Extension of Killing vector fields beyond compact Cauchy horizons	6
Foam evaluation and Kronheimer–Mrowka theories	6
Single and multiple recurrence along non-polynomial sequences	6
Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds	6
Markovian properties of continuous group actions: Algebraic actions, entropy and the homoclinic group	6
Tangle-tree duality in abstract separation systems	6
Universal degeneracy classes for vector bundles on P	6