Advances in Mathematics

Papers
(The TQCC of Advances in Mathematics is 3. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
Nonmodular infinite products and a conjecture of Seo and Yee55
Gamma integral structure for an invertible polynomial of chain type42
Brauer-Manin obstructions on hyperelliptic curves39
The Atiyah-Bott formula and connectivity in chiral Koszul duality36
Editorial Board33
First ℓ2-Betti numbers and proper proximality28
Milnor-Witt homotopy sheaves and Morel generalized transfers25
Conformally formal manifolds and the uniformly quasiregular non-ellipticity of (24
Editorial Board23
Composition series of arbitrary cardinality in modular lattices and abelian categories21
Editorial Board20
Editorial Board19
Editorial Board19
Editorial Board17
On the L Aleksandrov problem for negative p17
The Heisenberg calculus, index theory and cyclic cohomology17
A monopole invariant for families of contact structures17
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates17
Editorial Board17
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation16
Spectral self-similar measures with alternate contraction ratios and consecutive digits16
Undistorted fillings in subsets of metric spaces16
Hall algebras and quantum symmetric pairs of Kac-Moody type15
Sharp inequalities for the mean distance of random points in convex bodies15
Cohomological varieties associated to vertex operator algebras15
A Feigin-Frenkel theorem with n singularities15
Dynamical invariants of mapping torus categories15
Rigidity of the Delaunay triangulations of the plane15
Isolations of cubic lattices from their proper sublattices15
Tensor category equivariant KK-theory15
Existence of Kähler-Ricci solitons on smoothable Q-Fano varieties15
A Klein TQFT: The local Real Gromov-Witten theory of curves14
Disjoint frequent hypercyclicity of composition operators14
Characters of the group ELd14
Some constructions of formally self-adjoint conformally covariant polydifferential operators14
Maximal polynomial modulations of singular integrals14
Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps14
Abstract Goerss-Hopkins theory14
The extremals of the Kahn-Saks inequality14
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms14
A foliated Hitchin-Kobayashi correspondence14
On the dimension drop conjecture for diagonal flows on the space of lattices13
A counter-example for polynomial version of Sarnak's conjecture13
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction13
Lie algebras arising from two-periodic projective complex and derived categories12
Sliced skein algebras and geometric Kauffman bracket12
The dynamics and geometry of free group endomorphisms12
Constructing smoothings of stable maps12
Residue families, singular Yamabe problems and extrinsic conformal Laplacians12
The geometric concentration theorem12
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points12
The Σ2-Potentialist Principle12
Regularity of quasi-linear equations with Hörmander vector fields of step two11
Radical and weight of skew braces and their applications to structure groups of solutions of the Yang–Baxter equation11
Editorial Board11
Affine category O, Koszul duality and Zuckerman functors11
Virtual cycles on projective completions and quantum Lefschetz formula11
Editorial Board11
Editorial Board11
t-structures and twisted complexes on derived injectives11
A flow approach to the Musielak-Orlicz-Gauss image problem11
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature11
On the stabilization of relative trace formulae: Descent and the fundamental lemma11
Editorial Board11
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property11
On Chen's biharmonic conjecture for hypersurfaces in R11
Choosing points on cubic plane curves: Rigidity and flexibility11
The number of n-queens configurations11
Editorial Board11
Virtual linearity for KPP reaction-diffusion equations11
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space10
Non-integrability and chaos for natural Hamiltonian systems with a random potential10
Characterizing slopes for satellite knots10
Topological boundaries of representations and coideals10
Structure of minimal 2-spheres of constant curvature in the complex hyperquadric10
Parametrization of Kloosterman sets and SL3-Kloosterman sums10
Tate blueshift and vanishing for Real oriented cohomology theories10
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates10
Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 210
Reflecting measures10
A polynomial automorphism with a wandering Fatou component10
Monobrick, a uniform approach to torsion-free classes and wide subcategories10
Chiral differential operators on the upper half plane and modular forms10
Inflations for representations of shifted quantum affine algebras10
Rigidity theorems for best Sobolev inequalities10
Higher order local Dirichlet integrals and de Branges-Rovnyak spaces10
Trilinear smoothing inequalities and a variant of the triangular Hilbert transform10
Quasiperiodic Poincaré persistence at high degeneracy10
State sum models with defects based on spherical fusion categories10
Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]10
Counting rational curves with an m-fold point10
Parabolic induction and perverse sheaves on Wh10
Kneser graphs are Hamiltonian10
Beyond the Weyl barrier for GL(2) exponential sums9
Hyperbolic cone metrics and billiards9
Tits Alternative for groups acting properly on 2-dimensional recurrent complexes9
Linear optimization on varieties and Chern-Mather classes9
Analyticity of resolvents of elliptic operators on quantum graphs with small edges9
Unit cyclotomic multiple zeta values for μ2,μ3 and μ49
Skew localizer andZ29
Cartesian double theories: A double-categorical framework for categorical doctrines9
Variants of Lehmer's speculation for newforms9
The nuclear dimension of O9
Perturbations of periodic Sturm–Liouville operators9
Infinite quantum permutations9
Schubert calculus from polyhedral parametrizations of Demazure crystals9
Universality for cokernels of random matrix products9
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology9
Analytic lifts of operator concave functions9
Subelliptic estimates from Gromov hyperbolicity9
On four-dimensional steady gradient Ricci solitons that dimension reduce9
Non-existence theorems on infinite order corks9
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case9
Settled elements in profinite groups9
The norm of linear extension operators for Cm9
Character sheaves for graded Lie algebras: Stable gradings9
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background9
Birman-Hilden theory for 3-manifolds9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties9
The proper Landau-Ginzburg potential is the open mirror map9
Exact values of generic subrank9
Milnor-Witt motivic cohomology and linear algebraic groups9
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions9
All quasihereditary algebras with a regular exact Borel subalgebra8
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle8
Spectral invariants over the integers8
On the Duflo-Serganova functor for the queer Lie superalgebra8
Cohomology jump loci and absolute sets for singular varieties8
Cone types, automata, and regular partitions in Coxeter groups8
Maps, simple groups, and arc-transitive graphs8
Arithmetic of weakly holomorphic Hecke eigenforms8
Higher genus Gromov-Witten theory of [8
Polish topologies on endomorphism monoids of relational structures8
Impossibility of almost extension8
A characterization of constant p-mean curvature surfaces in the Heisenberg group H18
Homomorphisms from the torus8
Generalizations of the Q-prime curvature via renormalized characteristic forms8
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)8
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs8
Bosonization of Feigin-Odesskii Poisson varieties8
Generalising the étale groupoid–complete pseudogroup correspondence8
Corrigendum to: “Weil-Petersson Teichmüller space II: Smoothness of flow curves of H8
Volume and symplectic structure for ℓ-adic local systems8
Realization of rigid C⁎-bicategories as bimodules over type II1 von Neumann algebras8
Blaschke–Santaló inequality for many functions and geodesic barycenters of measures8
Additive operations between connective K-theory and Chow theory8
The restricted content and the d-dimensional Analyst's Travelling Salesman Theorem for general sets7
Editorial Board7
A remark on Kohn's theorem on sums of squares of complex vector fields7
Editorial Board7
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces7
Koszul operads governing props and wheeled props7
Editorial Board7
The box dimensions of exceptional self-affine sets in R7
Editorial Board7
Filtrations on combinatorial intersection cohomology and invariants of subdivisions7
A categorification of the Cartan-Eilenberg formula7
On minimal non-σ-scattered linear orders7
Multi-grounded partitions and character formulas7
C1–regularity for degenerate diffusion equations7
Knot theory and cluster algebras7
Editorial Board7
On the equality between the infima obtained by solving various Plateau's problems7
Differential operators on quantized flag manifolds at roots of unity III7
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras7
Completed K-theory and equivariant elliptic cohomology7
Sigma-Prikry forcing III: Down to ℵ7
On extremizing sequences for adjoint Fourier restriction to the sphere7
Editorial Board7
Koszul complexes over Cohen-Macaulay rings7
Long-time behavior for the porous medium equation with small initial energy7
A discrete framework for the interpolation of Banach spaces7
Linear equations on Drinfeld modules7
The rational torsion subgroup of J0(N)7
Derived categories of Thaddeus pair moduli spaces via d-critical flips7
On big Ramsey degrees for binary free amalgamation classes7
A construction of swap or switch polynomials7
Editorial Board7
Orbital stability of smooth solitons for the modified Camassa-Holm equation7
Singularity formation of complete Ricci flow solutions7
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 meridian-traceless SU(2)–representations of link groups7
Logarithmic quasimaps7
Quantum Sugawara operators in type A7
Editorial Board7
Incompressible tensor categories7
Adams inequalities with exact growth condition for Riesz-like potentials on 7
Quantitative rigidity of almost maximal volume entropy for both RCD7
The entropy of Ricci flows with Type-I scalar curvature bounds7
Length spectrum compactification of the SO0(2,3)-Hitchin component7
Frobenius non-stability of nilpotent groups7
Derivative principles for invariant ensembles7
Brouwer degree for Kazdan-Warner equations on a connected finite graph7
Editorial Board7
A web basis of invariant polynomials from noncrossing partitions7
Editorial Board7
Operations on the Hochschild bicomplex of a diagram of algebras7
The spectral picture and joint spectral radius of the generalized spherical Aluthge transform6
Admissible speeds in spatially periodic bistable reaction-diffusion equations6
Positively hyperbolic varieties, tropicalization, and positroids6
Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space6
Corrigendum to “Some results about geometric Whittaker model” [Adv. Math. 186 (1) (2004) 143–152]6
Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials6
Non existence and strong ill-posedness in C and Sobolev spaces for SQG6
The centre of the modular affine vertex algebra6
Editorial Board6
Quantum loop groups and shuffle algebras via Lyndon words6
Totally integrable symplectic billiards are ellipses6
Prescribed L curvature problem6
Conformal product structures on compact Kähler manifolds6
Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics6
Editorial Board6
Generalized double affine Hecke algebras, their representations, and higher Teichmüller theory6
Affine dual Minkowski problems6
Witten deformation using Lie groupoids6
Secant non-defectivity via collisions of fat points6
Chiral principal series categories I: Finite dimensional calculations6
Monochromatic products and sums in 2-colorings of N6
Covering with Chang models over derived models6
Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem6
Subspace configurations and low degree points on curves6
Editorial Board6
Measure theoretic laws for limsup sets defined by rectangles6
Ergodic theory on coded shift spaces6
The quantitative nature of reduced Floer theory6
Symmetric doubly periodic gravity-capillary waves with small vorticity6
Editorial Board6
Harmonic forms on the Kodaira-Thurston manifold6
Editorial Board6
A higher-dimensional Chevalley restriction theorem for orthogonal groups6
Newton–Okounkov bodies and minimal models for cluster varieties6
The Hilbert-Kunz density functions of quadric hypersurfaces6
Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces6
Combinatorics of the double-dimer model6
On the Gan-Gross-Prasad problem for finite classical groups6
Escape of entropy for countable Markov shifts6
Translating annuli for mean curvature flow6
Excision of skein categories and factorisation homology6
Single radius spherical cap discrepancy via gegenbadly approximable numbers6
Isometric embeddings of Teichmüller spaces are covering constructions6
The fields of values of the height zero characters6
Isotropic stable motivic homotopy groups of spheres6
The number of string C-groups of high rank6
The asymptotic behavior of Bergman kernels6
Editorial Board6
Stability of homomorphisms, coverings and cocycles II: Examples, applications and open problems6
Balanced derivatives, identities, and bounds for trigonometric and Bessel series6
The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary5
On the passage from finite braces to pre-Lie rings5
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