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 2021-12-01 to 2025-12-01.)
ArticleCitations
Sliced skein algebras and geometric Kauffman bracket70
Constructing smoothings of stable maps55
The extremals of the Kahn-Saks inequality29
Cohomological varieties associated to vertex operator algebras29
Tensor category equivariant KK-theory27
The Σ2-Potentialist Principle27
Lie algebras arising from two-periodic projective complex and derived categories26
Polygonal surfaces in pseudo-hyperbolic spaces24
Stable cohomology of Aut(Fn) with bivariant twisted coefficients24
Extendability of foliations23
Brauer-Manin obstructions on hyperelliptic curves22
Composition series of arbitrary cardinality in modular lattices and abelian categories22
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation22
Regularity of quasi-linear equations with Hörmander vector fields of step two21
Milnor-Witt homotopy sheaves and Morel generalized transfers20
Gamma integral structure for an invertible polynomial of chain type20
Integrality of mirror maps and arithmetic homological mirror symmetry for Greene–Plesser mirrors19
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property19
Isolations of cubic lattices from their proper sublattices19
Moduli spaces of filtered G-local systems on curves19
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction18
Editorial Board18
Editorial Board18
Some constructions of formally self-adjoint conformally covariant polydifferential operators17
Disjoint frequent hypercyclicity of composition operators17
Editorial Board17
On the dimension drop conjecture for diagonal flows on the space of lattices16
Editorial Board16
Undistorted fillings in subsets of metric spaces16
First ℓ2-Betti numbers and proper proximality16
Editorial Board16
Editorial Board16
The Heisenberg calculus, index theory and cyclic cohomology16
The Atiyah-Bott formula and connectivity in chiral Koszul duality15
A foliated Hitchin-Kobayashi correspondence15
Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps15
A monopole invariant for families of contact structures15
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates15
Residue families, singular Yamabe problems and extrinsic conformal Laplacians15
A Feigin-Frenkel theorem with n singularities15
The geometric concentration theorem14
Abstract Goerss-Hopkins theory14
Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups14
Rigidity of the Delaunay triangulations of the plane14
Nonmodular infinite products and a conjecture of Seo and Yee14
On the L Aleksandrov problem for negative p14
Characters of the group ELd14
Spectral self-similar measures with alternate contraction ratios and consecutive digits14
Editorial Board13
Hall algebras and quantum symmetric pairs of Kac-Moody type13
Hyperbolic cone metrics and billiards13
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature13
Perturbations of periodic Sturm–Liouville operators13
Parabolic induction and perverse sheaves on Wh13
Conformally formal manifolds and the uniformly quasiregular non-ellipticity of 13
Rigidity theorems for best Sobolev inequalities13
Counting rational curves with an m-fold point13
Editorial Board13
State sum models with defects based on spherical fusion categories13
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points13
Kneser graphs are Hamiltonian13
The norm of linear extension operators for Cm13
Choosing points on cubic plane curves: Rigidity and flexibility13
Inflations for representations of shifted quantum affine algebras12
Editorial Board12
Quasiperiodic Poincaré persistence at high degeneracy12
Topological boundaries of representations and coideals12
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space12
Non-existence theorems on infinite order corks12
Local terms for the categorical trace12
Editorial Board12
Schubert calculus from polyhedral parametrizations of Demazure crystals12
Virtual cycles on projective completions and quantum Lefschetz formula12
Parametrization of Kloosterman sets and SL3-Kloosterman sums12
Characterizing slopes for satellite knots12
The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory12
The number of n-queens configurations12
Beyond the Weyl barrier for GL(2) exponential sums12
Character sheaves for graded Lie algebras: Stable gradings12
Editorial Board12
Editorial Board12
Settled elements in profinite groups12
An atomic Coxeter presentation12
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates11
Virtual linearity for KPP reaction-diffusion equations11
Stationary completeness: The N-body short-range case11
Non-integrability and chaos for natural Hamiltonian systems with a random potential11
Logarithmic tautological rings of the moduli spaces of curves11
Editorial Board11
Editorial Board11
The Nadler-Quinn problem on accessible points of arc-like continua11
The Maxwell-Klein-Gordon equation with scattering data11
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
On decompositions for Fano schemes of intersections of two quadrics11
Reflecting measures11
Tate blueshift and vanishing for Real oriented cohomology theories11
Editorial Board10
Editorial Board10
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case10
Gaudin models and moduli space of flower curves10
Disk patterns, quasi-duality and the uniform bounded diameter conjecture10
A flow approach to the Musielak-Orlicz-Gauss image problem10
A characterization of constant p-mean curvature surfaces in the Heisenberg group H110
Corrigendum to: “Weil-Petersson Teichmüller space II: Smoothness of flow curves of H10
Editorial Board10
Cohomology jump loci and absolute sets for singular varieties10
Infinite quantum permutations10
Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori10
Monobrick, a uniform approach to torsion-free classes and wide subcategories10
The proper Landau-Ginzburg potential is the open mirror map10
Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows10
Polish topologies on endomorphism monoids of relational structures10
Realization of rigid C⁎-bicategories as bimodules over type II1 von Neumann algebras10
Singularity formation of complete Ricci flow solutions10
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions10
A dimensional mass transference principle for Borel probability measures and applications10
Motivic configurations on the line10
Milnor-Witt motivic cohomology and linear algebraic groups10
Generalizations of the Q-prime curvature via renormalized characteristic forms10
Multi-grounded partitions and character formulas10
The nuclear dimension of 9
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs9
Differential operators on quantized flag manifolds at roots of unity III9
Cone types, automata, and regular partitions in Coxeter groups9
Uniform convergence of metrics on Alexandrov surfaces with bounded integral curvature9
Higher genus Gromov-Witten theory of [9
Birman-Hilden theory for 3-manifolds9
Universality for cokernels of random matrix products9
Bosonization of Feigin-Odesskii Poisson varieties9
Linear optimization on varieties and Chern-Mather classes9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties9
Analytic lifts of operator concave functions9
Subelliptic estimates from Gromov hyperbolicity9
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background9
Maps, simple groups, and arc-transitive graphs9
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology9
Homomorphisms from the torus9
Sigma-Prikry forcing III: Down to ℵ9
On the Duflo-Serganova functor for the queer Lie superalgebra9
Exact values of generic subrank9
Variants of Lehmer's speculation for newforms9
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)9
Spectral invariants over the integers9
Period function of Maass forms from Ramanujan's lost notebook9
Generalising the étale groupoid–complete pseudogroup correspondence9
Analyticity of resolvents of elliptic operators on quantum graphs with small edges8
On four-dimensional steady gradient Ricci solitons that dimension reduce8
A construction of swap or switch polynomials8
Filtrations on combinatorial intersection cohomology and invariants of subdivisions8
The restricted content and the d-dimensional Analyst's Travelling Salesman Theorem for general sets8
Quantum Sugawara operators in type A8
On minimal non-σ-scattered linear orders8
Brouwer degree for Kazdan-Warner equations on a connected finite graph8
Iterated function systems of affine expanding and contracting maps on the unit interval8
Unit cyclotomic multiple zeta values for μ2,μ3 and μ48
Almost sure dimensional properties for the spectrum and the density of states of Sturmian Hamiltonians8
Editorial Board8
Editorial Board8
Adams inequalities with exact growth condition for Riesz-like potentials on 8
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras8
Single radius spherical cap discrepancy via gegenbadly approximable numbers8
Blaschke–Santaló inequality for many functions and geodesic barycenters of measures8
Cartesian double theories: A double-categorical framework for categorical doctrines8
Gap Theorem on Riemannian manifolds using Ricci flow8
C1–regularity for degenerate diffusion equations8
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle8
The centre of the modular affine vertex algebra8
Editorial Board8
Corrigendum to “Some results about geometric Whittaker model” [Adv. Math. 186 (1) (2004) 143–152]8
Completed K-theory and equivariant elliptic cohomology8
Quantitative rigidity of almost maximal volume entropy for both RCD8
Length of triangulated categories8
Skew localizer and Z28
Logarithmic quasimaps7
On the equality between the infima obtained by solving various Plateau's problems7
The Hilbert-Kunz density functions of quadric hypersurfaces7
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces7
On formal non-commutative deformations of smooth varieties7
Affine dual Minkowski problems7
Orbital stability of smooth solitons for the modified Camassa-Holm equation7
Finitely generated infinite torsion groups that are residually finite simple7
On big Ramsey degrees for binary free amalgamation classes7
Strong cohomological rigidity of Bott manifolds7
Excision of skein categories and factorisation homology7
Frobenius non-stability of nilpotent groups7
Non existence and strong ill-posedness in C and Sobolev spaces for SQG7
A categorification of the Cartan-Eilenberg formula7
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors7
On meridian-traceless SU(2)–representations of link groups7
A discrete framework for the interpolation of Banach spaces7
Isometric embeddings of Teichmüller spaces are covering constructions7
Symmetric doubly periodic gravity-capillary waves with small vorticity7
Newton–Okounkov bodies and minimal models for cluster varieties7
Koszul operads governing props and wheeled props7
Generalized double affine Hecke algebras, their representations, and higher Teichmüller theory7
Subspace configurations and low degree points on curves7
The entropy of Ricci flows with Type-I scalar curvature bounds7
Secant non-defectivity via collisions of fat points7
Escape of entropy for countable Markov shifts7
The rational torsion subgroup of J0(N)7
A remark on Kohn's theorem on sums of squares of complex vector fields7
Operations on the Hochschild bicomplex of a diagram of algebras7
A web basis of invariant polynomials from noncrossing partitions7
Length spectrum compactification of the SO0(2,3)-Hitchin component7
Ergodic theory on coded shift spaces7
Stability of homomorphisms, coverings and cocycles II: Examples, applications and open problems7
Knot theory and cluster algebras7
Linear equations on Drinfeld modules7
Incompressible tensor categories7
Fisher-KPP equation with small data and the extremal process of branching Brownian motion7
Mean values of long Dirichlet polynomials with higher divisor coefficients7
On extremizing sequences for adjoint Fourier restriction to the sphere7
Derivative principles for invariant ensembles7
Long-time behavior for the porous medium equation with small initial energy7
Combinatorics of the double-dimer model7
BMO embeddings, chord-arc curves, and Riemann mapping parametrization6
Classification of global solutions to the obstacle problem in the plane6
Measure theoretic laws for limsup sets defined by rectangles6
The number of string C-groups of high rank6
Effective results in the metric theory of quantitative Diophantine approximation6
Prescribed L curvature problem6
Profinite almost rigidity in 3-manifolds6
The fundamental theorem of calculus in differential rings6
Geodesic planes in a geometrically finite end and the halo of a measured lamination6
Iterated satellite operators on the knot concordance group6
The coarse Baum-Connes conjecture with filtered coefficients and product metric spaces6
Zeros of optimal polynomial approximants in A6
On unification of colored annular sl2<6
The inequalities of Chern classes and Riemann-Roch type inequalities6
Faà di Bruno's formula and inversion of power series6
Nijenhuis geometry6
Quantum loop groups and shuffle algebras via Lyndon words6
Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials6
Global Ricci curvature behaviour for the Kähler-Ricci flow with finite time singularities6
Ga6
A comparison method for the fractional Laplacian and applications6
Spectral quantization for ancient asymptotically cylindrical flows6
Pre-canonical bases on affine Hecke algebras6
Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators6
Isotropic constants and regular polytopes6
Quasimodularity and limiting behavior for variations of MacMahon series6
Self-similar solutions for the Muskat equation6
Simple lattices and free algebras of modular forms6
The classification of endotrivial complexes6
On a method of Hurwitz and its applications6
Almost everywhere convergence of Bochner-Riesz means for the Hermite operators6
Maximally localized Gabor orthonormal bases on locally compact Abelian groups6
Dynamical classification of analytic one-frequency quasi-periodic SO6
Coefficientwise Hankel-total positivity of the row-generating polynomials for the output matrices of certain production matrices6
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