Transactions of the American Mathematical Society

Papers
(The TQCC of Transactions of the American Mathematical Society is 2. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Homotopy relative Rota-Baxter lie algebras, triangular ????_{∞}-bialgebras and higher derived brackets49
Global behavior of small data solutions for the 2D Dirac–Klein-Gordon system22
A bound for the torsion on subvarieties of abelian varieties22
Modular linear differential operators and generalized Rankin-Cohen brackets19
Non-isogenous abelian varieties sharing the same division fields19
Bounded differentials on the unit disk and the associated geometry17
Effective decorrelation of Hecke eigenforms15
Global regularity and decay behavior for Leray equations with critical-dissipation and its application to self-similar solutions14
The qualitative behavior for ????-harmonic maps from a surface with boundary into a sphere13
The projective Fraïssé limit of the family of all connected finite graphs with confluent epimorphisms13
Instability of the Smith index under joins and applications to embeddability12
Hilbert’s tenth problem in anticyclotomic towers of number fields12
Model ∞-categories I: Some pleasant properties of the ∞-category of simplicial spaces12
Optimal rigidity estimates for varifolds almost minimizing the Willmore energy11
Long strings of consecutive composite values of polynomials11
Vectorial Kato inequality for ????-harmonic maps with optimal constant11
Fusion systems with 2-small components10
Compact semisimple 2-categories10
On decorated representation spaces associated to spherical surfaces9
The mapping class group of connect sums of ????²×????¹9
Holomorphic null curves in the special linear group9
Categorifying Hecke algebras at prime roots of unity, part I9
Nontransverse heterodimensional cycles: Stabilisation and robust tangencies9
Complete geodesic metrics in big classes9
Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions9
Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations9
Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs9
On the tangent space to the Hilbert scheme of points in ????³9
Equivalence of classical and quantum completeness for real principal type operators on the circle9
Bivariate Bernstein-gamma functions, potential measures, and asymptotics of exponential functionals of Lévy processes8
Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients8
Weighted monotonicity theorems and applications to minimal surfaces of ℍⁿ and ????ⁿ8
Homogeneous form inequalities (I): Volume estimates and the generalised metric Oppenheim conjecture8
Cohomology of complete unordered flag manifolds8
Small ????_{∞} results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries8
Modular symbols with values in Beilinson-Kato distributions7
7
On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction7
Dominance phenomena: mutation, scattering and cluster algebras7
Strong convergence of parabolic rate 1 of discretisations of stochastic Allen-Cahn-type equations7
Reciprocity maps with restricted ramification7
Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space7
Quantum variance for dihedral Maass forms7
Green 2-functors7
Existence and uniqueness of ????-graphs of prescribed mean curvature in Heisenberg groups7
Iterated-logarithm laws for convex hulls of random walks with drift6
Weierstrass bridges6
1-Point functions for symmetrized Heisenberg and symmetrized lattice vertex operator algebras6
Proofs of Mizuno’s conjectures on generalized rank two Nahm sums6
Homology of sheaves via Brown representability6
Simple closed curves in stable covers of surfaces6
New identities for theta operators6
Finite algebras with Hom-sets of polynomial size6
The logarithmic Bramson correction for Fisher-KPP equations on the lattice ℤ6
Almost isotropy-maximal manifolds of non-negative curvature6
Multivariate normal distribution for integral points on varieties6
Convex-compact subgroups of the Goeritz group6
6
Poisson approximation and Weibull asymptotics in the geometry of numbers6
Long time dynamics of nonequilibrium electroconvection6
Solving the Kerzman’s problem on the sup-norm estimate for \overline{∂} on product domains5
Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian5
A general formula for the index of depth stability of edge ideals5
Robust minimality of strong foliations for DA diffeomorphisms: ????????-volume expansion and new examples5
5
Extended flexibility of Lyapunov exponents for Anosov diffeomorphisms5
Characters of diagonal products and Hilbert–Schmidt stability5
Twisted quantum affinizations and quantization of extended affine lie algebras5
Probabilistic method to fundamental gap problems on the sphere5
On Weil-Stark elements, II: Refined Stark conjectures5
The projective cover of tableau-cyclic indecomposable ????_{????}(0)-modules5
Centralizers of Hamiltonian finite cyclic group actions on rational ruled surfaces5
Shifted Witten classes and topological recursion5
Holomorphic functions on complex Banach lattices5
Multisections of 4-manifolds5
On concentrated traveling vortex pairs with prescribed impulse5
On topological models of zero entropy loosely Bernoulli systems5
Degenerate complex Monge-Ampère type equations on compact Hermitian manifolds and applications5
The ????-Vaught’s conjecture5
Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones5
Diederich–Fornæss index and global regularity in the \overline{∂}–Neumann problem: domains with comparable Levi eigenvalues5
Spherical conical metrics and harmonic maps to spheres5
A class of inverse curvature flows and ????^{????} dual Christoffel-Minkowski problem5
The geometry of diagonal groups5
Multiplier ideals of normal surface singularities4
Soap bubbles and convex cones: optimal quantitative rigidity4
Perron similarities and the nonnegative inverse eigenvalue problem4
The geometry of double nested Hilbert schemes of points on curves4
On ????-adic families of special elements for rank-one motives4
Global solutions for the generalized SQG equation and rearrangements4
Huber’s theorem for manifolds with ????^{\frac}????2 integrable Ricci curvatures4
Integrability by compensation for Dirac equation4
Equivariant 3-manifolds with positive scalar curvature4
Degrees of points on varieties over Henselian fields4
Positivity preservers forbidden to operate on diagonal blocks4
Christoffel-Minkowski flows4
An inner product on Adelic measures with applications to the Arakelov–Zhang pairing4
Monodromie unipotente maximale, congruences “à la Lucas” et indépendance algébrique4
Framed instanton homology and concordance, II4
From the Littlewood-Paley-Stein inequality to the Burkholder-Gundy inequality4
The sharp Hardy–Moser–Trudinger inequality in dimension ????4
Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra4
Quasipositive surfaces and decomposable Lagrangians4
Existence of generalized Busemann functions and Gibbs measures for random walks in random potentials4
Total curvature of planar graphs with nonnegative combinatorial curvature4
Stability of transition semigroups and applications to parabolic equations4
Random walk on group extensions4
Noncommutative Christoffel-Darboux kernels4
The Amalgamation Property for automorphisms of ordered abelian groups4
Rational equivalence on adjoint groups of type ????_{????} over fields of virtual cohomological dimension 24
The trigonometric polynomial on sums of two squares, an additive problem and generalization4
On the number of generators of an algebra over a commutative ring4
The Dunkl-Laplace transform and Macdonald’s hypergeometric series4
Bismut Ricci flat generalized metrics on compact homogeneous spaces4
The geometric data on the boundary of convex subsets of hyperbolic manifolds4
Limit cycle enumeration in random vector fields4
Corrigendum to “Bismut Ricci flat generalized metrics on compact homogeneous spaces”4
Subconvexity of Shintani’s zeta function4
????????-duality for self-similar groupoid actions on graphs4
A nonlinear variant of Ball’s Inequality4
Frobenius-Perron theory for projective schemes4
Decay of Fourier coefficients for Furstenberg measures4
Coprime automorphisms of finite groups4
Integral representation of superoscillations via complex Borel measures and their convergence3
Multi-indices coproducts from ODEs to singular SPDEs3
Dimension reduction of axially symmetric Euler equations near maximal points off the axis3
Distality in valued fields and related structures3
Aron–Berner–type extension in complex Banach manifolds3
Characterization and enumeration on Lamé equations with finite monodromy3
Bounded Palais-Smale sequences with Morse type information for some constrained functionals3
Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients3
The Kervaire conjecture and the minimal complexity of surfaces3
Hennings TQFTs for cobordisms decorated with cohomology classes3
On the exceptional zeros of ????-non-ordinary ????-adic ????-functions and a conjecture of Perrin-Riou3
Gromov–Witten/Pandharipande–Thomas correspondence via conifold transitions3
Constructing discrete harmonic functions in wedges3
Weighted homological regularities3
Positivity of the CM line bundle for K-stable log Fanos3
Azumaya algebras and obstructions to quadratic pairs over a scheme3
Slicing knots in definite 4-manifolds3
Periodic points of polynomials over finite fields3
Discreteness of postcritically finite maps in ????-adic moduli space3
Hausdorff dimension of the Cartesian product of limsup sets in Diophantine approximation3
Weak uniqueness by noise for singular stochastic PDEs3
Pseudo-monodromy and the Mandelbrot set3
Random quantum graphs3
Bounded cohomology and volume rigidity of hyperbolic 3-manifolds3
Semistable reduction for complex analytic spaces3
Topological mean dimension of induced systems3
Self-improving properties of very weak solutions to double phase systems3
Another look at the Balázs-Quastel-Seppäläinen theorem3
Minimal direct products3
On rank 3 quadratic equations of projective varieties3
Hardy–Littlewood maximal operators on trees with bounded geometry3
The special values of the standard ????-functions for ????????????_{2????}×????????₁3
Ramsey monoids3
Symmetric function generalizations of the ????-Baker–Forrester ex-conjecture and Selberg-type integrals3
Remarks on orbital stability of steady vortex rings3
A geometric framework for asymptoticity and expansivity in topological dynamics3
Bessel periods and anticyclotomic ????-adic spinor ????-functions3
A solution operator for the \overline∂ equation in Sobolev spaces of negative index3
Parabolic Anderson model in bounded domains of recurrent metric measure spaces3
Realizing the m-permutahedron via flow polytopes3
Isometric rigidity of ????²-spaces with manifold targets3
Some applications of Menke’s JSJ decomposition for symplectic fillings3
The Witt rings of many flag varieties are exterior algebras3
Bounded, compact and Schatten class Hankel operators on Fock-type spaces3
Optimal convex domains for the first curl eigenvalue in dimension three3
Anosov representations over closed subflows3
Bounded Littlewood identities for cylindric Schur functions3
Rigidity and continuous extension for conformal maps of circle domains3
Polynomial decay of correlations for nonpositively curved surfaces3
Hitting probabilities of Gaussian random fields and collision of eigenvalues of random matrices3
Strichartz estimates and blowup stability for energy critical nonlinear wave equations3
The lowest discriminant ideal of a Cayley–Hamilton Hopf algebra3
P. Jones’ interpolation theorem for noncommutative martingale Hardy spaces3
Fusion products of twisted modules in permutation orbifolds3
On ????*(????????????_{????};ℤ) and Weyl group invariants3
Twisted Kuperberg invariants of knots and Reidemeister torsion via twisted Drinfeld doubles3
On a conjecture of Cusick on a sum of Cantor sets3
The simplicial coalgebra of chains determines homotopy types rationally and one prime at a time3
Orthonormal bases arising from nilpotent actions2
Equivariant ℚ-sliceness of strongly invertible knots2
Approximately multiplicative maps between algebras of bounded operators on Banach spaces2
Laguerre inequalities and complete monotonicity for the Riemann Xi-function and the partition function2
2
Post-critically finite maps on ℙⁿ for ????≥2 are sparse2
Some topological results of Ricci limit spaces2
Cohomology of configuration spaces of surfaces as mapping class group representations2
Static and dynamical, fractional uncertainty principles2
Pressure gaps, geometric potentials, and nonpositively curved manifolds2
Helly groups, coarsely Helly groups, and relative hyperbolicity2
The role of antisymmetric functions in nonlocal equations2
Hitchin systems for invariant and anti-invariant vector bundles2
2
Regularity of capillarity droplets with obstacle2
Conjugating trivial automorphisms of ????(ℕ)/`ch2
The solid-fluid transmission problem2
Frobenius splitting, strong F-regularity, and small Cohen-Macaulay modules2
Algebraic de Rham theory for the relative completion of ????????₂(ℤ)2
2
????=???? theorems for weight one modular forms2
Master Bellman equation in the Wasserstein space: Uniqueness of viscosity solutions2
The minimal free resolution of a general principal symmetric ideal2
A Lehmer-type height lower bound for abelian surfaces over function fields2
Margulis multiverse: Infinitesimal rigidity, pressure form and convexity2
Hybrid bounds for the sup-norm of automorphic forms in higher rank2
On the regularity theory for mixed local and nonlocal quasilinear elliptic equations2
Toroidalization of locally toroidal morphisms2
Sharp weighted log-Sobolev inequalities: Characterization of equality cases and applications2
Metastable complex vector bundles over complex projective spaces2
????_{????}(????????(2))-quantum invariants from an intersection of two Lagrangians in a symmetric power of a surface2
Higher stabilization and higher Freudenthal suspension2
Cuntz algebra automorphisms: Graphs and stability of permutations2
On the Gelfand property for complex symmetric pairs2
Omission of intervals: Deducing covering properties of subsets of the real line from their combinatorial structure2
Optimal interpolation in Hardy and Bergman spaces: A reproducing kernel Banach space approach2
Berry-Esseen bounds for the multivariate ℬ-free CLT and operator-valued matrices2
Sharp local ????^{????} estimates for the Hermite eigenfunctions2
Random groups at density ????<3/14 act non-trivially on a CAT(0) cube complex2
Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance2
Homotopically unbounded disks for generic surface diffeomorphisms2
Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domains2
Simple dimension groups that are isomorphic to stationary inductive limits2
Free actions of groups on separated graph ????*-algebras2
On forms in prime variables2
On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties2
Strongly Lech-independent ideals and Lech’s conjecture2
2
A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional2
2
Infinitely many arithmetic hyperbolic rational homology 3–spheres that bound geometrically2
Minimal free resolutions of differential modules2
Finitude homologique des foncteurs sur une catégorie additive et applications2
Topological moduli space for germs of holomorphic foliations III: Complete families2
On a Torelli Principle for automorphisms of Klein hypersurfaces2
Equivariant ????-modules on 2×2×???? hypermatrices2
Regularity and nondegeneracy for nonlocal Bernoulli problems with variable kernels2
Density-constrained Chemotaxis and Hele-Shaw flow2
Rees algebras of sparse determinantal ideals2
Corrigendum to “Approximating rational points on toric varieties”2
Uniformly branching trees2
Reduced models for electron magnetohydrodynamics: Well-posedness and singularity formation2
Complex analogues of the Tverberg–Vrećica conjecture and central transversal theorems2
A single-point Reshetnyak’s theorem2
Combinatorial patchworking: Back from tropical geometry2
Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations2
Topological restrictions on relatively Anosov representations2
Contractibility of the Rips complexes of Integer lattices via local domination2
On matrix Kloosterman sums and Hall–Littlewood polynomials2
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