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 2021-08-01 to 2025-08-01.)
ArticleCitations
Nonmodular infinite products and a conjecture of Seo and Yee61
Gamma integral structure for an invertible polynomial of chain type47
Brauer-Manin obstructions on hyperelliptic curves46
The Atiyah-Bott formula and connectivity in chiral Koszul duality39
Editorial Board30
First ℓ2-Betti numbers and proper proximality26
Milnor-Witt homotopy sheaves and Morel generalized transfers24
Editorial Board23
Composition series of arbitrary cardinality in modular lattices and abelian categories22
Editorial Board21
Editorial Board19
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates17
Spectral self-similar measures with alternate contraction ratios and consecutive digits17
Editorial Board17
The Heisenberg calculus, index theory and cyclic cohomology17
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation17
Editorial Board17
A Feigin-Frenkel theorem with n singularities17
Editorial Board17
Existence of Kähler-Ricci solitons on smoothable Q-Fano varieties16
A Klein TQFT: The local Real Gromov-Witten theory of curves16
A foliated Hitchin-Kobayashi correspondence16
Some constructions of formally self-adjoint conformally covariant polydifferential operators16
Sharp inequalities for the mean distance of random points in convex bodies16
Cohomological varieties associated to vertex operator algebras16
Abstract Goerss-Hopkins theory16
On the dimension drop conjecture for diagonal flows on the space of lattices16
Dynamical invariants of mapping torus categories16
The extremals of the Kahn-Saks inequality16
Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps16
Constructing smoothings of stable maps16
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms15
Tensor category equivariant KK-theory15
The Σ2-Potentialist Principle15
Residue families, singular Yamabe problems and extrinsic conformal Laplacians14
Sliced skein algebras and geometric Kauffman bracket14
t-structures and twisted complexes on derived injectives14
Lie algebras arising from two-periodic projective complex and derived categories14
The geometric concentration theorem14
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points14
A monopole invariant for families of contact structures14
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property14
Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups13
Maximal polynomial modulations of singular integrals13
Conformally formal manifolds and the uniformly quasiregular non-ellipticity of (13
Regularity of quasi-linear equations with Hörmander vector fields of step two13
Hall algebras and quantum symmetric pairs of Kac-Moody type13
Rigidity of the Delaunay triangulations of the plane13
Characters of the group ELd13
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction12
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature12
Editorial Board12
On the L Aleksandrov problem for negative p12
Undistorted fillings in subsets of metric spaces12
Choosing points on cubic plane curves: Rigidity and flexibility12
Editorial Board12
Isolations of cubic lattices from their proper sublattices12
Disjoint frequent hypercyclicity of composition operators12
Editorial Board12
Affine category O, Koszul duality and Zuckerman functors12
Local terms for the categorical trace11
Inflations for representations of shifted quantum affine algebras11
Rigidity theorems for best Sobolev inequalities11
Characterizing slopes for satellite knots11
Chiral differential operators on the upper half plane and modular forms11
Parabolic induction and perverse sheaves on Wh11
Editorial Board11
Editorial Board11
Counting rational curves with an m-fold point11
Tate blueshift and vanishing for Real oriented cohomology theories11
Reflecting measures11
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space11
On the stabilization of relative trace formulae: Descent and the fundamental lemma11
The norm of linear extension operators for Cm11
Structure of minimal 2-spheres of constant curvature in the complex hyperquadric11
A flow approach to the Musielak-Orlicz-Gauss image problem11
State sum models with defects based on spherical fusion categories11
Kneser graphs are Hamiltonian11
Non-integrability and chaos for natural Hamiltonian systems with a random potential11
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates11
Quasiperiodic Poincaré persistence at high degeneracy11
An atomic Coxeter presentation11
Virtual cycles on projective completions and quantum Lefschetz formula11
Hyperbolic cone metrics and billiards10
Infinite quantum permutations10
Perturbations of periodic Sturm–Liouville operators10
Logarithmic tautological rings of the moduli spaces of curves10
Parametrization of Kloosterman sets and SL3-Kloosterman sums10
A dimensional mass transference principle for Borel probability measures and applications10
Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]10
Beyond the Weyl barrier for GL(2) exponential sums10
Virtual linearity for KPP reaction-diffusion equations10
The Maxwell-Klein-Gordon equation with scattering data10
Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 210
Settled elements in profinite groups10
Character sheaves for graded Lie algebras: Stable gradings10
The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory10
Editorial Board10
Trilinear smoothing inequalities and a variant of the triangular Hilbert transform10
Cartesian double theories: A double-categorical framework for categorical doctrines9
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)9
Topological boundaries of representations and coideals9
Schubert calculus from polyhedral parametrizations of Demazure crystals9
Analytic lifts of operator concave functions9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties9
Sigma-Prikry forcing III: Down to ℵ9
Generalizations of the Q-prime curvature via renormalized characteristic forms9
Maps, simple groups, and arc-transitive graphs9
Polish topologies on endomorphism monoids of relational structures9
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs9
Linear optimization on varieties and Chern-Mather classes9
Exact values of generic subrank9
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case9
Monobrick, a uniform approach to torsion-free classes and wide subcategories9
Non-existence theorems on infinite order corks9
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology9
Cohomology jump loci and absolute sets for singular varieties9
Cone types, automata, and regular partitions in Coxeter groups9
Realization of rigid C⁎-bicategories as bimodules over type II1 von Neumann algebras9
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle9
Volume and symplectic structure for ℓ-adic local systems9
Differential operators on quantized flag manifolds at roots of unity III9
Tits Alternative for groups acting properly on 2-dimensional recurrent complexes9
Milnor-Witt motivic cohomology and linear algebraic groups9
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions9
The number of n-queens configurations9
Analyticity of resolvents of elliptic operators on quantum graphs with small edges9
Birman-Hilden theory for 3-manifolds9
Homomorphisms from the torus9
Additive operations between connective K-theory and Chow theory9
Spectral invariants over the integers9
On the Duflo-Serganova functor for the queer Lie superalgebra9
Generalising the étale groupoid–complete pseudogroup correspondence8
The nuclear dimension of O8
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background8
Editorial Board8
The proper Landau-Ginzburg potential is the open mirror map8
Brouwer degree for Kazdan-Warner equations on a connected finite graph8
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces8
A categorification of the Cartan-Eilenberg formula8
Unit cyclotomic multiple zeta values for μ2,μ3 and μ48
C1–regularity for degenerate diffusion equations8
Skew localizer andZ28
Higher genus Gromov-Witten theory of [8
Multi-grounded partitions and character formulas8
Editorial Board8
Universality for cokernels of random matrix products8
A construction of swap or switch polynomials8
Editorial Board8
Frobenius non-stability of nilpotent groups8
Blaschke–Santaló inequality for many functions and geodesic barycenters of measures8
Variants of Lehmer's speculation for newforms8
Bosonization of Feigin-Odesskii Poisson varieties8
Corrigendum to: “Weil-Petersson Teichmüller space II: Smoothness of flow curves of H8
Editorial Board8
Singularity formation of complete Ricci flow solutions8
A characterization of constant p-mean curvature surfaces in the Heisenberg group H18
Period function of Maass forms from Ramanujan's lost notebook8
The entropy of Ricci flows with Type-I scalar curvature bounds8
On meridian-traceless SU(2)–representations of link groups8
On four-dimensional steady gradient Ricci solitons that dimension reduce8
Subelliptic estimates from Gromov hyperbolicity8
On big Ramsey degrees for binary free amalgamation classes7
Operations on the Hochschild bicomplex of a diagram of algebras7
Fisher-KPP equation with small data and the extremal process of branching Brownian motion7
Editorial Board7
Editorial Board7
The restricted content and the d-dimensional Analyst's Travelling Salesman Theorem for general sets7
The Hilbert-Kunz density functions of quadric hypersurfaces7
A remark on Kohn's theorem on sums of squares of complex vector fields7
Excision of skein categories and factorisation homology7
Corrigendum to “Some results about geometric Whittaker model” [Adv. Math. 186 (1) (2004) 143–152]7
Quantum Sugawara operators in type A7
Secant non-defectivity via collisions of fat points7
A discrete framework for the interpolation of Banach spaces7
Orbital stability of smooth solitons for the modified Camassa-Holm equation7
Derivative principles for invariant ensembles7
Combinatorics of the double-dimer model7
On the equality between the infima obtained by solving various Plateau's problems7
Logarithmic quasimaps7
Editorial Board7
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras7
Long-time behavior for the porous medium equation with small initial energy7
Adams inequalities with exact growth condition for Riesz-like potentials on 7
Subspace configurations and low degree points on curves7
On extremizing sequences for adjoint Fourier restriction to the sphere7
Length spectrum compactification of the SO0(2,3)-Hitchin component7
Escape of entropy for countable Markov shifts7
Koszul operads governing props and wheeled props7
Linear equations on Drinfeld modules7
Filtrations on combinatorial intersection cohomology and invariants of subdivisions7
Derived categories of Thaddeus pair moduli spaces via d-critical flips7
Mean values of long Dirichlet polynomials with higher divisor coefficients7
Knot theory and cluster algebras7
A web basis of invariant polynomials from noncrossing partitions7
Completed K-theory and equivariant elliptic cohomology7
Chiral principal series categories I: Finite dimensional calculations7
Quantitative rigidity of almost maximal volume entropy for both RCD7
Newton–Okounkov bodies and minimal models for cluster varieties7
Admissible speeds in spatially periodic bistable reaction-diffusion equations7
Single radius spherical cap discrepancy via gegenbadly approximable numbers7
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors7
Incompressible tensor categories7
The centre of the modular affine vertex algebra7
Strong cohomological rigidity of Bott manifolds7
On minimal non-σ-scattered linear orders7
Non existence and strong ill-posedness in C and Sobolev spaces for SQG7
The rational torsion subgroup of J0(N)7
Koszul complexes over Cohen-Macaulay rings7
Curvature homogeneous hypersurfaces in space forms6
Monochromatic products and sums in 2-colorings of N6
SRT26
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics6
Isometric embeddings of Teichmüller spaces are covering constructions6
Corrigendum to “Successive minima of line bundles” [Adv. Math. 365 (2020) 107045]6
Editorial Board6
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula6
Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem6
Balanced derivatives, identities, and bounds for trigonometric and Bessel series6
Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space6
Simplex slicing: An asymptotically-sharp lower bound6
Explicit forms and proofs of Zagier's rank three examples for Nahm's problem6
Euler characteristics of tautological bundles over Quot schemes of curves6
Integer superharmonic matrices on the F-lattice6
Conformal product structures on compact Kähler manifolds6
Self-similar solutions for the Muskat equation6
Faà di Bruno's formula and inversion of power series6
Quantum loop groups and shuffle algebras via Lyndon words6
Equivariant algebraic K-theory, G-theory and derived completions6
Editorial Board6
Burkholder meets Gundy: Bellman function method for general operators on martingales6
Simple lattices and free algebras of modular forms6
Affine dual Minkowski problems6
The fields of values of the height zero characters6
Ergodic theory on coded shift spaces6
Translating annuli for mean curvature flow6
The number of string C-groups of high rank6
The cluster category of a surface with punctures via group actions6
BMO embeddings, chord-arc curves, and Riemann mapping parametrization6
Groupoids and skeletal categories form a pretorsion theory in Cat6
On the Gan-Gross-Prasad problem for finite classical groups6
Embedding universality for II1 factors with property (T)6
Editorial Board6
Analytic structures and harmonic measure at bifurcation locus6
Editorial Board6
Quasianalyticity, uncertainty, and integral transforms on higher grassmannians6
Totally integrable symplectic billiards are ellipses6
Measure theoretic laws for limsup sets defined by rectangles6
Corrigendum to “Query complexity and the polynomial Freiman-Ruzsa conjecture” [Advances in Mathematics 392 (2021) 108043]6
Coherency for monoids and purity for their acts6
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