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 2022-08-01 to 2026-08-01.)
ArticleCitations
The extremals of the Kahn-Saks inequality83
The Σ2-Potentialist Principle34
Editorial Board31
Editorial Board30
Editorial Board29
A Feigin-Frenkel theorem with n singularities28
Residue families, singular Yamabe problems and extrinsic conformal Laplacians28
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points27
Stable cohomology of Aut(Fn) with bivariant twisted coefficients27
Polygonal surfaces in pseudo-hyperbolic spaces26
Extendability of foliations25
Brauer-Manin obstructions on hyperelliptic curves25
Gamma integral structure for an invertible polynomial of chain type24
The geometric concentration theorem22
Nonmodular infinite products and a conjecture of Seo and Yee22
A monopole invariant for families of contact structures22
Rigidity of the Delaunay triangulations of the plane21
Editorial Board21
Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups19
On the dimension drop conjecture for diagonal flows on the space of lattices19
A degenerate version of Brion's formula18
Towards 2-derivators for formal ∞-category theory18
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction18
Spectral self-similar measures with alternate contraction ratios and consecutive digits18
Tensor category equivariant KK-theory17
Isolations of cubic lattices from their proper sublattices17
Characters of the group ELd16
Constructing smoothings of stable maps16
Undistorted fillings in subsets of metric spaces16
Sliced skein algebras and geometric Kauffman bracket16
Hall algebras and quantum symmetric pairs of Kac-Moody type16
A foliated Hitchin-Kobayashi correspondence16
Editorial Board16
On the L Aleksandrov problem for negative p16
Integrality of mirror maps and arithmetic homological mirror symmetry for Greene–Plesser mirrors15
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property15
Regularity of quasi-linear equations with Hörmander vector fields of step two15
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates15
Low energy spectrum of the XXZ model coupled to a magnetic field15
Moduli spaces of filtered G-local systems on curves15
Lie algebras arising from two-periodic projective complex and derived categories15
New geometric structures on 3-manifolds: surgery and generalized geometry15
Disjoint frequent hypercyclicity of composition operators15
First ℓ2-Betti numbers and proper proximality15
Cohomological varieties associated to vertex operator algebras15
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation15
Composition series of arbitrary cardinality in modular lattices and abelian categories14
Choosing points on cubic plane curves: Rigidity and flexibility14
Editorial Board14
Hyperbolic cone metrics and billiards14
The norm of linear extension operators for Cm14
Virtual cycles on projective completions and quantum Lefschetz formula14
Rigidity theorems for best Sobolev inequalities14
Editorial Board14
Editorial Board14
Inflations for representations of shifted quantum affine algebras13
On decompositions for Fano schemes of intersections of two quadrics13
Disk patterns, quasi-duality and the uniform bounded diameter conjecture13
Editorial Board13
The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory13
Reflecting measures13
An atomic Coxeter presentation13
Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori13
Editorial Board13
On the packing dimension of weighted singular matrices on fractals13
Character sheaves for graded Lie algebras: Stable gradings12
Editorial Board12
Tate blueshift and vanishing for Real oriented cohomology theories12
Non-integrability and chaos for natural Hamiltonian systems with a random potential12
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates12
The Nadler-Quinn problem on accessible points of arc-like continua12
A perturbative construction of primitive forms from log Landau-Ginzburg mirrors of toric manifolds12
Infinite quantum permutations12
Editorial Board12
The Maxwell-Klein-Gordon equation with scattering data12
Non-existence theorems on infinite order corks11
Stationary completeness: The N-body short-range case11
Minkowski problems of centro-section measures11
Topological boundaries of representations and coideals11
Modular 11
Virtual linearity for KPP reaction-diffusion equations11
Kneser graphs are Hamiltonian11
State sum models with defects based on spherical fusion categories11
Motivic configurations on the line11
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space11
Logarithmic tautological rings of the moduli spaces of curves11
Invariant sets and hyperbolic closed Reeb orbits11
Quasiperiodic Poincaré persistence at high degeneracy11
Beyond the Weyl barrier for GL(2) exponential sums11
Gaudin models and moduli space of flower curves11
Characterizing slopes for satellite knots10
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case10
The number of n-queens configurations10
Local terms for the categorical trace10
Realization of rigid C⁎-bicategories as bimodules over type II1 von Neumann algebras10
Homomorphisms from the torus10
Settled elements in profinite groups10
Iterated function systems of holomorphic maps10
On the refined analyticity radius of 3-D generalized Navier-Stokes equations10
Milnor-Witt motivic cohomology and linear algebraic groups10
Editorial Board10
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)10
Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]10
Counting rational curves with an m-fold point10
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature10
A dimensional mass transference principle for Borel probability measures and applications10
Editorial Board10
Editorial Board10
Perturbations of periodic Sturm–Liouville operators10
Polish topologies on endomorphism monoids of relational structures9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties9
Gap Theorem on Riemannian manifolds using Ricci flow9
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs9
Cartesian double theories: A double-categorical framework for categorical doctrines9
Unit cyclotomic multiple zeta values for μ2,μ3 and μ49
Birman-Hilden theory for 3-manifolds9
Almost sure dimensional properties for the spectrum and the density of states of Sturmian Hamiltonians9
The proper Landau-Ginzburg potential is the open mirror map9
Generalizations of the Q-prime curvature via renormalized characteristic forms9
Formally integrable structures II. Division problem9
Length of triangulated categories9
Sigma-Prikry forcing III: Down to ℵ9
C1–regularity for degenerate diffusion equations9
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background9
Period function of Maass forms from Ramanujan's lost notebook9
Exact values of generic subrank9
Parabolic noncommutative geometry9
On the Duflo-Serganova functor for the queer Lie superalgebra9
A characterization of constant p-mean curvature surfaces in the Heisenberg group H19
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology9
Maps, simple groups, and arc-transitive graphs9
Deformation theory and Hopf actions on Koszul algebras9
Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows9
Spectral invariants over the integers9
Uniform convergence of metrics on Alexandrov surfaces with bounded integral curvature9
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras8
Non existence and strong ill-posedness in C and Sobolev spaces for SQG8
Editorial Board8
Frobenius non-stability of nilpotent groups8
Finitely generated infinite torsion groups that are residually finite simple8
Editorial Board8
Completed K-theory and equivariant elliptic cohomology8
On the equality between the infima obtained by solving various Plateau's problems8
Universality for cokernels of random matrix products8
Bosonization of Feigin-Odesskii Poisson varieties8
Higher genus Gromov-Witten theory of [ 8
Editorial Board8
Koszul operads governing props and wheeled props8
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces8
Derivative principles for invariant ensembles8
Editorial Board8
The Hilbert-Kunz density functions of quadric hypersurfaces8
On minimal non-σ-scattered linear orders8
The centre of the modular affine vertex algebra8
The rational torsion subgroup of J0(N)8
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle8
Orbital stability of smooth solitons for the modified Camassa-Holm equation8
Linear optimization on varieties and Chern-Mather classes8
Analytic lifts of operator concave functions8
Editorial Board8
A remark on Kohn's theorem on sums of squares of complex vector fields8
A web basis of invariant polynomials from noncrossing partitions8
Equidistribution of partial coverings from closed geodesics8
Bounds for Kloosterman sums for GLn8
Single radius spherical cap discrepancy via gegenbadly approximable numbers8
The entropy of Ricci flows with Type-I scalar curvature bounds8
On formal non-commutative deformations of smooth varieties8
Linear equations on Drinfeld modules8
Discrete fractals: Dimensions, quasi-isometric invariance and self-similarity8
Quantitative rigidity of almost maximal volume entropy for both RCD8
Operations on the Hochschild bicomplex of a diagram of algebras8
Iterated function systems of affine expanding and contracting maps on the unit interval8
Variants of Lehmer's speculation for newforms8
On linear response for discontinuous perturbations of smooth endomorphisms8
Brouwer degree for Kazdan-Warner equations on a connected finite graph8
On meridian-traceless SU(2)–representations of link groups8
Filtrations on combinatorial intersection cohomology and invariants of subdivisions8
Secant non-defectivity via collisions of fat points7
Editorial Board7
On extremizing sequences for adjoint Fourier restriction to the sphere7
Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem7
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors7
Existence and non-uniqueness of weak solutions with continuous energy to the 3D deterministic and stochastic Navier-Stokes equations7
The number of string C-groups of high rank7
Editorial Board7
Simultaneously nonvanishing higher derived limits7
Editorial Board7
Groupoids and skeletal categories form a pretorsion theory in 7
The fields of values of the height zero characters7
Excision of skein categories and factorisation homology7
Escape of entropy for countable Markov shifts7
Measure theoretic laws for limsup sets defined by rectangles7
On the Tambara affine line7
Curvature homogeneous hypersurfaces in space forms7
Incompressible tensor categories7
Monochromatic products and sums in 2-colorings of N7
(Co)Minuscule Hecke categories7
On big Ramsey degrees for binary free amalgamation classes7
A higher-dimensional Chevalley restriction theorem for orthogonal groups7
Simplex slicing: An asymptotically-sharp lower bound7
Affine dual Minkowski problems7
Logarithmic quasimaps7
Editorial Board7
Strong cohomological rigidity of Bott manifolds7
Analytic structures and harmonic measure at bifurcation locus7
Quasianalyticity, uncertainty, and integral transforms on higher grassmannians7
Prescribed L curvature problem7
The asymptotic behavior of Bergman kernels7
Isolated points on modular curves7
Embedding universality for II1 factors with property (T)7
A general quantified Ingham-Karamata Tauberian theorem7
Effective results in the metric theory of quantitative Diophantine approximation7
Quantum Sugawara operators in type A7
Length spectrum compactification of the SO0(2,3)-Hitchin component7
Burkholder meets Gundy: Bellman function method for general operators on martingales7
Ergodic theory on coded shift spaces7
New Brunn–Minkowski and functional inequalities via convexity of entropy7
Quasimodularity and limiting behavior for variations of MacMahon series7
A discrete framework for the interpolation of Banach spaces7
Equivariant algebraic K-theory, G-theory and derived completions7
Subspace configurations and low degree points on curves7
Explicit forms and proofs of Zagier's rank three examples for Nahm's problem7
Corrigendum to “Successive minima of line bundles” [Adv. Math. 365 (2020) 107045]7
Mean values of long Dirichlet polynomials with higher divisor coefficients7
Quantitative orbit equivalence for Z 7
Knot theory and cluster algebras7
On the arithmetic of special values of L-functions for certain abelian varieties with a rational isogeny7
On the spectral theorem of Langlands6
Curvature bound for L Minkowski problem6
Border subrank via a generalised Hilbert-Mumford criterion6
The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary6
Corrigendum to “Energy gap for Yang–Mills connections, II: Arbitrary closed Riemannian manifolds” [Adv. Math. 312 (2017) 547–587]6
Semisimple field theories detect stable diffeomorphism6
On critical renormalization of complex polynomials6
The coarse Baum-Connes conjecture with filtered coefficients and product metric spaces6
Plectic Stark–Heegner points6
Linear Reedy categories, quasi-hereditary algebras and model structures6
On unification of colored annular 6
Isotropic constants and regular polytopes6
Noether inequality for irregular threefolds of general type6
Quantization of restricted Lagrangian subvarieties in positive characteristic6
Q-polynomial expansion for Brézin-Gross-Witten tau-function6
Higher rank confining subsets and hyperbolic actions of solvable groups6
Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators6
Ga6
A family of exotic group C*-algebras6
A Quillen adjunction between globular and complicial approaches to (∞,n)-categories6
Regularity of solutions to the Dirichlet problem for fast diffusion equations6
Uniform estimates for 2D quasilinear wave6
Leclerc's conjecture on a cluster structure for type A Richardson varieties6
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