Advances in Mathematics

Papers
(The median citation count of Advances in Mathematics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)
ArticleCitations
Nonmodular infinite products and a conjecture of Seo and Yee57
Gamma integral structure for an invertible polynomial of chain type42
Brauer-Manin obstructions on hyperelliptic curves40
The Atiyah-Bott formula and connectivity in chiral Koszul duality36
Editorial Board35
First ℓ2-Betti numbers and proper proximality28
Milnor-Witt homotopy sheaves and Morel generalized transfers25
Editorial Board24
Composition series of arbitrary cardinality in modular lattices and abelian categories23
Editorial Board22
Editorial Board21
Editorial Board21
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates20
The Heisenberg calculus, index theory and cyclic cohomology20
Editorial Board20
A monopole invariant for families of contact structures19
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation17
A Feigin-Frenkel theorem with n singularities17
Spectral self-similar measures with alternate contraction ratios and consecutive digits17
Undistorted fillings in subsets of metric spaces17
Editorial Board17
The extremals of the Kahn-Saks inequality16
Dynamical invariants of mapping torus categories16
Sharp inequalities for the mean distance of random points in convex bodies16
Cohomological varieties associated to vertex operator algebras16
Rigidity of the Delaunay triangulations of the plane16
A Klein TQFT: The local Real Gromov-Witten theory of curves16
Existence of Kähler-Ricci solitons on smoothable Q-Fano varieties16
Tensor category equivariant KK-theory16
Some constructions of formally self-adjoint conformally covariant polydifferential operators15
A foliated Hitchin-Kobayashi correspondence15
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms15
Abstract Goerss-Hopkins theory15
Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps15
Maximal polynomial modulations of singular integrals15
Disjoint frequent hypercyclicity of composition operators15
A counter-example for polynomial version of Sarnak's conjecture14
Lie algebras arising from two-periodic projective complex and derived categories14
Sliced skein algebras and geometric Kauffman bracket14
Constructing smoothings of stable maps14
Residue families, singular Yamabe problems and extrinsic conformal Laplacians14
On the dimension drop conjecture for diagonal flows on the space of lattices14
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points14
The Σ2-Potentialist Principle14
Characters of the group ELd13
The geometric concentration theorem13
On Chen's biharmonic conjecture for hypersurfaces in R13
Conformally formal manifolds and the uniformly quasiregular non-ellipticity of (13
Hall algebras and quantum symmetric pairs of Kac-Moody type13
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property13
The dynamics and geometry of free group endomorphisms12
On the L Aleksandrov problem for negative p12
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature12
Radical and weight of skew braces and their applications to structure groups of solutions of the Yang–Baxter equation12
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction12
Isolations of cubic lattices from their proper sublattices12
Choosing points on cubic plane curves: Rigidity and flexibility12
t-structures and twisted complexes on derived injectives12
Regularity of quasi-linear equations with Hörmander vector fields of step two12
Editorial Board12
Editorial Board11
Local terms for the categorical trace11
Parabolic induction and perverse sheaves on Wh11
Chiral differential operators on the upper half plane and modular forms11
Tate blueshift and vanishing for Real oriented cohomology theories11
Editorial Board11
The number of n-queens configurations11
Structure of minimal 2-spheres of constant curvature in the complex hyperquadric11
The norm of linear extension operators for Cm11
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions11
State sum models with defects based on spherical fusion categories11
Kneser graphs are Hamiltonian11
Editorial Board11
Virtual cycles on projective completions and quantum Lefschetz formula11
Affine category O, Koszul duality and Zuckerman functors11
On the stabilization of relative trace formulae: Descent and the fundamental lemma11
Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]11
Counting rational curves with an m-fold point11
Inflations for representations of shifted quantum affine algebras11
An atomic Coxeter presentation11
Virtual linearity for KPP reaction-diffusion equations11
Editorial Board11
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates10
Non-integrability and chaos for natural Hamiltonian systems with a random potential10
Higher order local Dirichlet integrals and de Branges-Rovnyak spaces10
Settled elements in profinite groups10
Perturbations of periodic Sturm–Liouville operators10
Hyperbolic cone metrics and billiards10
Rigidity theorems for best Sobolev inequalities10
Characterizing slopes for satellite knots10
Schubert calculus from polyhedral parametrizations of Demazure crystals10
Beyond the Weyl barrier for GL(2) exponential sums10
Non-existence theorems on infinite order corks10
Quasiperiodic Poincaré persistence at high degeneracy10
Reflecting measures10
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space10
Infinite quantum permutations10
Character sheaves for graded Lie algebras: Stable gradings10
The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory10
Analyticity of resolvents of elliptic operators on quantum graphs with small edges9
Exact values of generic subrank9
Variants of Lehmer's speculation for newforms9
Monobrick, a uniform approach to torsion-free classes and wide subcategories9
Parametrization of Kloosterman sets and SL3-Kloosterman sums9
A flow approach to the Musielak-Orlicz-Gauss image problem9
Analytic lifts of operator concave functions9
A characterization of constant p-mean curvature surfaces in the Heisenberg group H19
Polish topologies on endomorphism monoids of relational structures9
Impossibility of almost extension9
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology9
All quasihereditary algebras with a regular exact Borel subalgebra9
Trilinear smoothing inequalities and a variant of the triangular Hilbert transform9
Linear optimization on varieties and Chern-Mather classes9
Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 29
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case9
Editorial Board9
Subelliptic estimates from Gromov hyperbolicity9
Cartesian double theories: A double-categorical framework for categorical doctrines9
Volume and symplectic structure for ℓ-adic local systems9
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle9
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs9
Birman-Hilden theory for 3-manifolds9
The proper Landau-Ginzburg potential is the open mirror map9
Tits Alternative for groups acting properly on 2-dimensional recurrent complexes9
The Maxwell-Klein-Gordon equation with scattering data9
Topological boundaries of representations and coideals9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties9
Milnor-Witt motivic cohomology and linear algebraic groups9
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)9
Spectral invariants over the integers9
On the Duflo-Serganova functor for the queer Lie superalgebra9
Unit cyclotomic multiple zeta values for μ2,μ3 and μ49
Bosonization of Feigin-Odesskii Poisson varieties8
Sigma-Prikry forcing III: Down to ℵ8
Differential operators on quantized flag manifolds at roots of unity III8
Cohomology jump loci and absolute sets for singular varieties8
Generalizations of the Q-prime curvature via renormalized characteristic forms8
Editorial Board8
Blaschke–Santaló inequality for many functions and geodesic barycenters of measures8
On meridian-traceless SU(2)–representations of link groups8
Universality for cokernels of random matrix products8
On four-dimensional steady gradient Ricci solitons that dimension reduce8
Skew localizer andZ28
Editorial Board8
Editorial Board8
Cone types, automata, and regular partitions in Coxeter groups8
Realization of rigid C⁎-bicategories as bimodules over type II1 von Neumann algebras8
Homomorphisms from the torus8
Corrigendum to: “Weil-Petersson Teichmüller space II: Smoothness of flow curves of H8
A construction of swap or switch polynomials8
C1–regularity for degenerate diffusion equations8
Generalising the étale groupoid–complete pseudogroup correspondence8
Higher genus Gromov-Witten theory of [8
Singularity formation of complete Ricci flow solutions8
Multi-grounded partitions and character formulas8
Maps, simple groups, and arc-transitive graphs8
Additive operations between connective K-theory and Chow theory8
Editorial Board8
Arithmetic of weakly holomorphic Hecke eigenforms8
Brouwer degree for Kazdan-Warner equations on a connected finite graph8
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background8
The nuclear dimension of O8
Single radius spherical cap discrepancy via gegenbadly approximable numbers7
A remark on Kohn's theorem on sums of squares of complex vector fields7
On minimal non-σ-scattered linear orders7
The restricted content and the d-dimensional Analyst's Travelling Salesman Theorem for general sets7
Fisher-KPP equation with small data and the extremal process of branching Brownian motion7
Corrigendum to “Some results about geometric Whittaker model” [Adv. Math. 186 (1) (2004) 143–152]7
Operations on the Hochschild bicomplex of a diagram of algebras7
Long-time behavior for the porous medium equation with small initial energy7
On big Ramsey degrees for binary free amalgamation classes7
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras7
Completed K-theory and equivariant elliptic cohomology7
The box dimensions of exceptional self-affine sets in R7
Editorial Board7
Admissible speeds in spatially periodic bistable reaction-diffusion equations7
A categorification of the Cartan-Eilenberg formula7
Quantum Sugawara operators in type A7
Koszul operads governing props and wheeled props7
The rational torsion subgroup of J0(N)7
The Hilbert-Kunz density functions of quadric hypersurfaces7
Filtrations on combinatorial intersection cohomology and invariants of subdivisions7
Subspace configurations and low degree points on curves7
A discrete framework for the interpolation of Banach spaces7
Knot theory and cluster algebras7
Secant non-defectivity via collisions of fat points7
Derivative principles for invariant ensembles7
Logarithmic quasimaps7
Editorial Board7
Editorial Board7
Adams inequalities with exact growth condition for Riesz-like potentials on 7
Linear equations on Drinfeld modules7
Quantitative rigidity of almost maximal volume entropy for both RCD7
Derived categories of Thaddeus pair moduli spaces via d-critical flips7
Positively hyperbolic varieties, tropicalization, and positroids7
Chiral principal series categories I: Finite dimensional calculations7
Frobenius non-stability of nilpotent groups7
Combinatorics of the double-dimer model7
The centre of the modular affine vertex algebra7
On extremizing sequences for adjoint Fourier restriction to the sphere7
On the equality between the infima obtained by solving various Plateau's problems7
Incompressible tensor categories7
A web basis of invariant polynomials from noncrossing partitions7
Non existence and strong ill-posedness in C and Sobolev spaces for SQG7
Mean values of long Dirichlet polynomials with higher divisor coefficients7
Length spectrum compactification of the SO0(2,3)-Hitchin component7
Editorial Board7
Editorial Board7
Escape of entropy for countable Markov shifts7
The entropy of Ricci flows with Type-I scalar curvature bounds7
Koszul complexes over Cohen-Macaulay rings7
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces7
Excision of skein categories and factorisation homology7
On the equality of test ideals6
Editorial Board6
A generalization of permanent inequalities and applications in counting and optimization6
Affine dual Minkowski problems6
Embedding universality for II1 factors with property (T)6
Generalized double affine Hecke algebras, their representations, and higher Teichmüller theory6
Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials6
Monochromatic products and sums in 2-colorings of N6
Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities6
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics6
Burkholder meets Gundy: Bellman function method for general operators on martingales6
Isotropic stable motivic homotopy groups of spheres6
Equivariant algebraic K-theory, G-theory and derived completions6
Simplex slicing: An asymptotically-sharp lower bound6
Editorial Board6
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula6
Orbital stability of smooth solitons for the modified Camassa-Holm equation6
Faà di Bruno's formula and inversion of power series6
Isometric embeddings of Teichmüller spaces are covering constructions6
Totally integrable symplectic billiards are ellipses6
SRT26
Self-similar solutions for the Muskat equation6
Quasianalyticity, uncertainty, and integral transforms on higher grassmannians6
Simple lattices and free algebras of modular forms6
Corrigendum to “Successive minima of line bundles” [Adv. Math. 365 (2020) 107045]6
Ergodic theory on coded shift spaces6
Tropical flag varieties6
Balanced derivatives, identities, and bounds for trigonometric and Bessel series6
The cluster category of a surface with punctures via group actions6
Covering with Chang models over derived models6
Prescribed L curvature problem6
The quantitative nature of reduced Floer theory6
Spectrum of the Lamé operator and application, I: Deformation along Re6
Nijenhuis geometry6
BMO embeddings, chord-arc curves, and Riemann mapping parametrization6
Analytic structures and harmonic measure at bifurcation locus6
The fields of values of the height zero characters6
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