Advances in Mathematics

Papers
(The TQCC of Advances in Mathematics is 4. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
Nonmodular infinite products and a conjecture of Seo and Yee60
Gamma integral structure for an invertible polynomial of chain type46
Brauer-Manin obstructions on hyperelliptic curves41
The Atiyah-Bott formula and connectivity in chiral Koszul duality30
First ℓ2-Betti numbers and proper proximality26
Editorial Board26
Editorial Board25
Composition series of arbitrary cardinality in modular lattices and abelian categories24
Editorial Board21
Editorial Board19
Editorial Board19
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates19
The Heisenberg calculus, index theory and cyclic cohomology18
Editorial Board18
Cohomological varieties associated to vertex operator algebras17
Spectral self-similar measures with alternate contraction ratios and consecutive digits17
Existence of Kähler-Ricci solitons on smoothable Q-Fano varieties17
A Klein TQFT: The local Real Gromov-Witten theory of curves17
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation17
Dynamical invariants of mapping torus categories17
Some constructions of formally self-adjoint conformally covariant polydifferential operators17
Editorial Board17
A Feigin-Frenkel theorem with n singularities17
The extremals of the Kahn-Saks inequality17
Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps16
Constructing smoothings of stable maps16
Residue families, singular Yamabe problems and extrinsic conformal Laplacians16
A foliated Hitchin-Kobayashi correspondence16
The Σ2-Potentialist Principle16
Tensor category equivariant KK-theory16
On the dimension drop conjecture for diagonal flows on the space of lattices16
Sliced skein algebras and geometric Kauffman bracket16
The geometric concentration theorem15
A monopole invariant for families of contact structures15
Lie algebras arising from two-periodic projective complex and derived categories15
Conformally formal manifolds and the uniformly quasiregular non-ellipticity of (14
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property14
Characters of the group ELd14
Regularity of quasi-linear equations with Hörmander vector fields of step two14
Hall algebras and quantum symmetric pairs of Kac-Moody type14
Rigidity of the Delaunay triangulations of the plane14
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points13
Isolations of cubic lattices from their proper sublattices13
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms13
Disjoint frequent hypercyclicity of composition operators13
On the L Aleksandrov problem for negative p13
Undistorted fillings in subsets of metric spaces13
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction13
Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups13
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature12
Editorial Board12
Editorial Board12
Structure of minimal 2-spheres of constant curvature in the complex hyperquadric12
Abstract Goerss-Hopkins theory12
Choosing points on cubic plane curves: Rigidity and flexibility12
Affine category O, Koszul duality and Zuckerman functors12
Virtual cycles on projective completions and quantum Lefschetz formula12
Local terms for the categorical trace12
Milnor-Witt homotopy sheaves and Morel generalized transfers12
Editorial Board12
Editorial Board12
Editorial Board12
On the stabilization of relative trace formulae: Descent and the fundamental lemma12
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case11
Schubert calculus from polyhedral parametrizations of Demazure crystals11
Quasiperiodic Poincaré persistence at high degeneracy11
Inflations for representations of shifted quantum affine algebras11
Rigidity theorems for best Sobolev inequalities11
Chiral differential operators on the upper half plane and modular forms11
Beyond the Weyl barrier for GL(2) exponential sums11
Parabolic induction and perverse sheaves on Wh11
Counting rational curves with an m-fold point11
Tate blueshift and vanishing for Real oriented cohomology theories11
Reflecting measures11
An atomic Coxeter presentation11
A flow approach to the Musielak-Orlicz-Gauss image problem11
The norm of linear extension operators for Cm11
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
Character sheaves for graded Lie algebras: Stable gradings10
Characterizing slopes for satellite knots10
Virtual linearity for KPP reaction-diffusion equations10
Logarithmic tautological rings of the moduli spaces of curves10
The Maxwell-Klein-Gordon equation with scattering data10
Trilinear smoothing inequalities and a variant of the triangular Hilbert transform10
Non-existence theorems on infinite order corks10
Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]10
Infinite quantum permutations10
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates10
Settled elements in profinite groups10
A dimensional mass transference principle for Borel probability measures and applications10
Editorial Board10
Topological boundaries of representations and coideals10
Perturbations of periodic Sturm–Liouville operators10
Hyperbolic cone metrics and billiards10
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space10
Monobrick, a uniform approach to torsion-free classes and wide subcategories10
The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory10
Parametrization of Kloosterman sets and SL3-Kloosterman sums10
The number of n-queens configurations10
Homomorphisms from the torus9
Cone types, automata, and regular partitions in Coxeter groups9
On the Duflo-Serganova functor for the queer Lie superalgebra9
Birman-Hilden theory for 3-manifolds9
Tits Alternative for groups acting properly on 2-dimensional recurrent complexes9
Differential operators on quantized flag manifolds at roots of unity III9
Linear optimization on varieties and Chern-Mather classes9
Additive operations between connective K-theory and Chow theory9
A characterization of constant p-mean curvature surfaces in the Heisenberg group H19
Editorial Board9
Sigma-Prikry forcing III: Down to ℵ9
Generalizations of the Q-prime curvature via renormalized characteristic forms9
Analyticity of resolvents of elliptic operators on quantum graphs with small edges9
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs9
Analytic lifts of operator concave functions9
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)9
Polish topologies on endomorphism monoids of relational structures9
Spectral invariants over the integers9
Maps, simple groups, and arc-transitive graphs9
Editorial Board9
Multi-grounded partitions and character formulas9
Cohomology jump loci and absolute sets for singular varieties9
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
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology9
Milnor-Witt motivic cohomology and linear algebraic groups9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties9
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions9
Cartesian double theories: A double-categorical framework for categorical doctrines9
The nuclear dimension of O9
Singularity formation of complete Ricci flow solutions9
Editorial Board9
On meridian-traceless SU(2)–representations of link groups8
A categorification of the Cartan-Eilenberg formula8
On four-dimensional steady gradient Ricci solitons that dimension reduce8
Subelliptic estimates from Gromov hyperbolicity8
The proper Landau-Ginzburg potential is the open mirror map8
Higher genus Gromov-Witten theory of [8
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background8
Brouwer degree for Kazdan-Warner equations on a connected finite graph8
Editorial Board8
Editorial Board8
A construction of swap or switch polynomials8
Unit cyclotomic multiple zeta values for μ2,μ3 and μ48
Corrigendum to: “Weil-Petersson Teichmüller space II: Smoothness of flow curves of H8
Universality for cokernels of random matrix products8
Skew localizer andZ28
The entropy of Ricci flows with Type-I scalar curvature bounds8
Logarithmic quasimaps8
Editorial Board8
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces8
C1–regularity for degenerate diffusion equations8
Blaschke–Santaló inequality for many functions and geodesic barycenters of measures8
Variants of Lehmer's speculation for newforms8
Bosonization of Feigin-Odesskii Poisson varieties8
Generalising the étale groupoid–complete pseudogroup correspondence8
Period function of Maass forms from Ramanujan's lost notebook8
Exact values of generic subrank8
Completed K-theory and equivariant elliptic cohomology8
Editorial Board8
Adams inequalities with exact growth condition for Riesz-like potentials on 7
Knot theory and cluster algebras7
A remark on Kohn's theorem on sums of squares of complex vector fields7
Filtrations on combinatorial intersection cohomology and invariants of subdivisions7
Combinatorics of the double-dimer model7
On big Ramsey degrees for binary free amalgamation classes7
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors7
Strong cohomological rigidity of Bott manifolds7
The restricted content and the d-dimensional Analyst's Travelling Salesman Theorem for general sets7
The centre of the modular affine vertex algebra7
A discrete framework for the interpolation of Banach spaces7
Escape of entropy for countable Markov shifts7
Length spectrum compactification of the SO0(2,3)-Hitchin component7
Frobenius non-stability of nilpotent groups7
On the equality between the infima obtained by solving various Plateau's problems7
Quantitative rigidity of almost maximal volume entropy for both RCD7
Corrigendum to “Some results about geometric Whittaker model” [Adv. Math. 186 (1) (2004) 143–152]7
Admissible speeds in spatially periodic bistable reaction-diffusion equations7
On extremizing sequences for adjoint Fourier restriction to the sphere7
Linear equations on Drinfeld modules7
Affine dual Minkowski problems7
Incompressible tensor categories7
Single radius spherical cap discrepancy via gegenbadly approximable numbers7
Orbital stability of smooth solitons for the modified Camassa-Holm equation7
Quantum Sugawara operators in type A7
Non existence and strong ill-posedness in C and Sobolev spaces for SQG7
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras7
Excision of skein categories and factorisation homology7
Derivative principles for invariant ensembles7
Long-time behavior for the porous medium equation with small initial energy7
A web basis of invariant polynomials from noncrossing partitions7
Subspace configurations and low degree points on curves7
Fisher-KPP equation with small data and the extremal process of branching Brownian motion7
Mean values of long Dirichlet polynomials with higher divisor coefficients7
Chiral principal series categories I: Finite dimensional calculations7
Newton–Okounkov bodies and minimal models for cluster varieties7
On minimal non-σ-scattered linear orders7
Derived categories of Thaddeus pair moduli spaces via d-critical flips7
Koszul operads governing props and wheeled props7
Secant non-defectivity via collisions of fat points7
The rational torsion subgroup of J0(N)7
The Hilbert-Kunz density functions of quadric hypersurfaces7
Operations on the Hochschild bicomplex of a diagram of algebras7
Translating annuli for mean curvature flow6
Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space6
Explicit forms and proofs of Zagier's rank three examples for Nahm's problem6
SRT26
On the Gan-Gross-Prasad problem for finite classical groups6
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics6
Editorial Board6
Curvature homogeneous hypersurfaces in space forms6
Editorial Board6
The spectral picture and joint spectral radius of the generalized spherical Aluthge transform6
Totally integrable symplectic billiards are ellipses6
On the spectral theorem of Langlands6
Corrigendum to “Query complexity and the polynomial Freiman-Ruzsa conjecture” [Advances in Mathematics 392 (2021) 108043]6
Measure theoretic laws for limsup sets defined by rectangles6
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula6
Editorial Board6
Weighted Ehrhart theory: Extending Stanley's nonnegativity theorem6
Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces6
Coherency for monoids and purity for their acts6
BMO embeddings, chord-arc curves, and Riemann mapping parametrization6
Isometric embeddings of Teichmüller spaces are covering constructions6
The cluster category of a surface with punctures via group actions6
Editorial Board6
The number of string C-groups of high rank6
Balanced derivatives, identities, and bounds for trigonometric and Bessel series6
Quasianalyticity, uncertainty, and integral transforms on higher grassmannians6
Groupoids and skeletal categories form a pretorsion theory in Cat6
When a system of real quadratic equations has a solution6
Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem6
Nijenhuis geometry6
Self-similar solutions for the Muskat equation6
Harmonic forms on the Kodaira-Thurston manifold6
Euler characteristics of tautological bundles over Quot schemes of curves6
Prescribed L curvature problem6
Witten deformation using Lie groupoids6
Conformal product structures on compact Kähler manifolds6
Quantum loop groups and shuffle algebras via Lyndon words6
Integer superharmonic matrices on the F-lattice6
Editorial Board6
Monochromatic products and sums in 2-colorings of N6
Burkholder meets Gundy: Bellman function method for general operators on martingales6
Simplex slicing: An asymptotically-sharp lower bound6
Proofs of McIntosh's conjecture on Franel integrals and two generalizations6
The inequalities of Chern classes and Riemann-Roch type inequalities6
Simple lattices and free algebras of modular forms6
On the equality of test ideals6
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