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 2021-07-01 to 2025-07-01.)
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 curves41
The Atiyah-Bott formula and connectivity in chiral Koszul duality38
Editorial Board35
First ℓ2-Betti numbers and proper proximality29
Milnor-Witt homotopy sheaves and Morel generalized transfers26
Editorial Board22
Composition series of arbitrary cardinality in modular lattices and abelian categories22
Editorial Board21
Editorial Board20
Editorial Board19
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates18
Editorial Board17
Spectral self-similar measures with alternate contraction ratios and consecutive digits17
Editorial Board17
The Heisenberg calculus, index theory and cyclic cohomology17
Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps16
A Klein TQFT: The local Real Gromov-Witten theory of curves16
Dynamical invariants of mapping torus categories16
A Feigin-Frenkel theorem with n singularities16
Existence of Kähler-Ricci solitons on smoothable Q-Fano varieties16
Abstract Goerss-Hopkins theory16
The extremals of the Kahn-Saks inequality16
Rigidity of the Delaunay triangulations of the plane16
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation16
A foliated Hitchin-Kobayashi correspondence16
Some constructions of formally self-adjoint conformally covariant polydifferential operators16
Cohomological varieties associated to vertex operator algebras16
Sharp inequalities for the mean distance of random points in convex bodies16
Constructing smoothings of stable maps15
The Σ2-Potentialist Principle15
Disjoint frequent hypercyclicity of composition operators15
On the dimension drop conjecture for diagonal flows on the space of lattices15
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms15
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points14
Sliced skein algebras and geometric Kauffman bracket14
Tensor category equivariant KK-theory14
Maximal polynomial modulations of singular integrals14
Lie algebras arising from two-periodic projective complex and derived categories13
Undistorted fillings in subsets of metric spaces13
Regularity of quasi-linear equations with Hörmander vector fields of step two13
A monopole invariant for families of contact structures13
The geometric concentration theorem13
Residue families, singular Yamabe problems and extrinsic conformal Laplacians13
t-structures and twisted complexes on derived injectives13
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property13
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature12
Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups12
Isolations of cubic lattices from their proper sublattices12
On the L Aleksandrov problem for negative p12
Conformally formal manifolds and the uniformly quasiregular non-ellipticity of (12
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction12
Radical and weight of skew braces and their applications to structure groups of solutions of the Yang–Baxter equation12
Characters of the group ELd12
Hall algebras and quantum symmetric pairs of Kac-Moody type12
Editorial Board11
Editorial Board11
Editorial Board11
An atomic Coxeter presentation11
Quasiperiodic Poincaré persistence at high degeneracy11
State sum models with defects based on spherical fusion categories11
Kneser graphs are Hamiltonian11
The norm of linear extension operators for Cm11
Choosing points on cubic plane curves: Rigidity and flexibility11
Virtual cycles on projective completions and quantum Lefschetz formula11
Affine category O, Koszul duality and Zuckerman functors11
Local terms for the categorical trace11
Monobrick, a uniform approach to torsion-free classes and wide subcategories11
Counting rational curves with an m-fold point11
Inflations for representations of shifted quantum affine algebras11
Rigidity theorems for best Sobolev inequalities11
Structure of minimal 2-spheres of constant curvature in the complex hyperquadric11
Editorial Board11
Editorial Board11
On the stabilization of relative trace formulae: Descent and the fundamental lemma11
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
Reflecting measures11
Character sheaves for graded Lie algebras: Stable gradings10
Characterizing slopes for satellite knots10
Schubert calculus from polyhedral parametrizations of Demazure crystals10
Non-integrability and chaos for natural Hamiltonian systems with a random potential10
Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]10
Logarithmic tautological rings of the moduli spaces of curves10
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space10
Hyperbolic cone metrics and billiards10
Beyond the Weyl barrier for GL(2) exponential sums10
Perturbations of periodic Sturm–Liouville operators10
Virtual linearity for KPP reaction-diffusion equations10
The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory10
Infinite quantum permutations10
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates10
Settled elements in profinite groups10
Non-existence theorems on infinite order corks10
A dimensional mass transference principle for Borel probability measures and applications10
Linear optimization on varieties and Chern-Mather classes9
The nuclear dimension of O9
Milnor-Witt motivic cohomology and linear algebraic groups9
Editorial Board9
A flow approach to the Musielak-Orlicz-Gauss image problem9
The Maxwell-Klein-Gordon equation with scattering data9
Higher order local Dirichlet integrals and de Branges-Rovnyak spaces9
Polish topologies on endomorphism monoids of relational structures9
Unit cyclotomic multiple zeta values for μ2,μ3 and μ49
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs9
Cartesian double theories: A double-categorical framework for categorical doctrines9
Tits Alternative for groups acting properly on 2-dimensional recurrent complexes9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties9
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case9
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions9
Parametrization of Kloosterman sets and SL3-Kloosterman sums9
The number of n-queens configurations9
C1–regularity for degenerate diffusion equations9
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle9
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology9
Analyticity of resolvents of elliptic operators on quantum graphs with small edges9
Subelliptic estimates from Gromov hyperbolicity9
Topological boundaries of representations and coideals9
Differential operators on quantized flag manifolds at roots of unity III9
Trilinear smoothing inequalities and a variant of the triangular Hilbert transform9
Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 29
Exact values of generic subrank9
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)9
Blaschke–Santaló inequality for many functions and geodesic barycenters of measures9
On the Duflo-Serganova functor for the queer Lie superalgebra9
Birman-Hilden theory for 3-manifolds9
Analytic lifts of operator concave functions9
Editorial Board8
Sigma-Prikry forcing III: Down to ℵ8
Generalizations of the Q-prime curvature via renormalized characteristic forms8
Cone types, automata, and regular partitions in Coxeter groups8
Editorial Board8
Universality for cokernels of random matrix products8
Period function of Maass forms from Ramanujan's lost notebook8
The proper Landau-Ginzburg potential is the open mirror map8
Higher genus Gromov-Witten theory of [8
Bosonization of Feigin-Odesskii Poisson varieties8
Cohomology jump loci and absolute sets for singular varieties8
Spectral invariants over the integers8
Maps, simple groups, and arc-transitive graphs8
Realization of rigid C⁎-bicategories as bimodules over type II1 von Neumann algebras8
Editorial Board8
Skew localizer andZ28
Variants of Lehmer's speculation for newforms8
Corrigendum to: “Weil-Petersson Teichmüller space II: Smoothness of flow curves of H8
Multi-grounded partitions and character formulas8
Homomorphisms from the torus8
Additive operations between connective K-theory and Chow theory8
Volume and symplectic structure for ℓ-adic local systems8
Singularity formation of complete Ricci flow solutions8
Editorial Board8
Brouwer degree for Kazdan-Warner equations on a connected finite graph8
Generalising the étale groupoid–complete pseudogroup correspondence8
Koszul operads governing props and wheeled props7
The rational torsion subgroup of J0(N)7
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras7
Editorial Board7
Logarithmic quasimaps7
Fisher-KPP equation with small data and the extremal process of branching Brownian motion7
Frobenius non-stability of nilpotent groups7
Operations on the Hochschild bicomplex of a diagram of algebras7
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces7
On the equality between the infima obtained by solving various Plateau's problems7
On four-dimensional steady gradient Ricci solitons that dimension reduce7
Single radius spherical cap discrepancy via gegenbadly approximable numbers7
Knot theory and cluster algebras7
The centre of the modular affine vertex algebra7
On minimal non-σ-scattered linear orders7
Length spectrum compactification of the SO0(2,3)-Hitchin component7
Quantum Sugawara operators in type A7
Editorial Board7
A remark on Kohn's theorem on sums of squares of complex vector fields7
Completed K-theory and equivariant elliptic cohomology7
A web basis of invariant polynomials from noncrossing partitions7
A categorification of the Cartan-Eilenberg formula7
Long-time behavior for the porous medium equation with small initial energy7
On meridian-traceless SU(2)–representations of link groups7
Quantitative rigidity of almost maximal volume entropy for both RCD7
A characterization of constant p-mean curvature surfaces in the Heisenberg group H17
Chiral principal series categories I: Finite dimensional calculations7
The entropy of Ricci flows with Type-I scalar curvature bounds7
Adams inequalities with exact growth condition for Riesz-like potentials on 7
Filtrations on combinatorial intersection cohomology and invariants of subdivisions7
Derivative principles for invariant ensembles7
Editorial Board7
Editorial Board7
Linear equations on Drinfeld modules7
A discrete framework for the interpolation of Banach spaces7
Derived categories of Thaddeus pair moduli spaces via d-critical flips7
The box dimensions of exceptional self-affine sets in R7
A construction of swap or switch polynomials7
Admissible speeds in spatially periodic bistable reaction-diffusion equations7
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background7
Excision of skein categories and factorisation homology7
Generalized double affine Hecke algebras, their representations, and higher Teichmüller theory6
Mean values of long Dirichlet polynomials with higher divisor coefficients6
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors6
Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics6
Corrigendum to “Some results about geometric Whittaker model” [Adv. Math. 186 (1) (2004) 143–152]6
Measure theoretic laws for limsup sets defined by rectangles6
Witten deformation using Lie groupoids6
Editorial Board6
Nijenhuis geometry6
Simple lattices and free algebras of modular forms6
Editorial Board6
Corrigendum to “Successive minima of line bundles” [Adv. Math. 365 (2020) 107045]6
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula6
Isometric embeddings of Teichmüller spaces are covering constructions6
On the equality of test ideals6
Editorial Board6
Totally integrable symplectic billiards are ellipses6
Koszul complexes over Cohen-Macaulay rings6
Symmetric doubly periodic gravity-capillary waves with small vorticity6
Combinatorics of the double-dimer model6
On extremizing sequences for adjoint Fourier restriction to the sphere6
Stability of homomorphisms, coverings and cocycles II: Examples, applications and open problems6
Secant non-defectivity via collisions of fat points6
Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem6
Escape of entropy for countable Markov shifts6
Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials6
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics6
Editorial Board6
Analytic structures and harmonic measure at bifurcation locus6
Embedding universality for II1 factors with property (T)6
Conformal product structures on compact Kähler manifolds6
Faà di Bruno's formula and inversion of power series6
Orbital stability of smooth solitons for the modified Camassa-Holm equation6
Burkholder meets Gundy: Bellman function method for general operators on martingales6
Non existence and strong ill-posedness in C and Sobolev spaces for SQG6
Prescribed L curvature problem6
Subspace configurations and low degree points on curves6
The asymptotic behavior of Bergman kernels6
On big Ramsey degrees for binary free amalgamation classes6
The restricted content and the d-dimensional Analyst's Travelling Salesman Theorem for general sets6
A higher-dimensional Chevalley restriction theorem for orthogonal groups6
Strong cohomological rigidity of Bott manifolds6
Ergodic theory on coded shift spaces6
Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces6
Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space6
Quasianalyticity, uncertainty, and integral transforms on higher grassmannians6
Editorial Board6
Equivariant algebraic K-theory, G-theory and derived completions6
The cluster category of a surface with punctures via group actions6
Quantum loop groups and shuffle algebras via Lyndon words6
Simplex slicing: An asymptotically-sharp lower bound6
On the Gan-Gross-Prasad problem for finite classical groups6
The fields of values of the height zero characters6
Incompressible tensor categories6
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