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 2021-04-01 to 2025-04-01.)
ArticleCitations
The stabilizer bitorsors of the module and algebra harmonic coproducts are equal52
Nielsen realization in dimension four and projective twists36
Strong maximum principle for generalized solutions to equations of the Monge-Ampère type35
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property35
Maximality of correspondence representations32
On the existence of weighted-cscK metrics26
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points24
The length spectrum of random hyperbolic 3-manifolds23
Constructible sheaves on schemes20
Motivic, logarithmic, and topological Milnor fibrations19
Projective rigidity of circle packings19
On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class18
On separably integrable symmetric convex bodies17
Prescribed curvature problem for discrete conformality on convex spherical cone-metrics17
New monotonicity for p-capacitary functions in 3-manifolds with nonnegative scalar curvature17
A Feigin-Frenkel theorem with n singularities16
A categorification of the Malvenuto–Reutenauer algebra via a tower of groups16
Frobenius representation type for invariant rings of finite groups15
Boundedness of (ϵ,n)-complements for surfaces15
Expecting the unexpected: Quantifying the persistence of unexpected hypersurfaces15
Subgraph densities in Markov spaces15
Categorical Saito theory, II: Landau-Ginzburg orbifolds15
Entropy along expanding foliations14
Asymptotic behavior of complete conformal metric near singular boundary14
Infinitely many commensurability classes of compact Coxeter polyhedra in 14
Construction of Kuranishi structures on the moduli spaces of pseudo-holomorphic disks: II14
Divergent trajectories on products of homogeneous spaces14
Flow by powers of the Gauss curvature in space forms14
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction14
Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves14
Pressure metrics for cusped Hitchin components14
Total masses of solutions to general Toda systems with singular sources14
Nuclearity and Grothendieck-Lidskii formula for quaternionic operators14
Reflectionless canonical systems, II. Almost periodicity and character-automorphic Fourier transforms13
Poisson geometry and Azumaya loci of cluster algebras13
A Klein TQFT: The local Real Gromov-Witten theory of curves13
On point spectrum of critical almost Mathieu operators13
Sharp boundary ε-regularity of optimal transport maps13
Periods of Hilbert modular forms, Kronecker series and cohomology13
Uniform projection of the Weil character13
On spin structures and orientations for gauge-theoretic moduli spaces13
Multiplicative Higgs bundles and involutions13
Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes12
The nuclear dimension of C⁎-algebras associated to topological flows and orientable line foliations12
On BBW parabolics for simple classical Lie superalgebras12
Irreducible cone spherical metrics and stable extensions of two line bundles12
t-structures and twisted complexes on derived injectives12
Sharp inequalities for the mean distance of random points in convex bodies12
Regularizable collinear periodic solutions in the n-body problem with arbitrary masses12
Empirical approximation of the gaussian distribution in R11
Spaces of commuting elements in the classical groups11
Entire solutions to 4 dimensional Ginzburg–Landau equations and codimension 2 minimal submanifolds11
An inductive approach to representations of general linear groups over compact discrete valuation rings11
The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients11
Geometric structures for the G2<11
Tropical and non-Archimedean Monge–Ampère equations for a class of Calabi–Yau hypersurfaces11
The quantum Hikita conjecture11
Surjective Nash maps between semialgebraic sets11
Varopoulos extensions in domains with Ahlfors-regular boundaries and applications to Boundary Value Problems for elliptic systems with L∞ coefficients11
Integral p-adic non-abelian Hodge theory for small representations11
Perverse sheaves on infinite-dimensional stacks, and affine Springer theory11
The multiplicity of a singularity in a vexillary Schubert variety11
On isometries of compact L–Wasserstein spaces10
On Euler number of symplectic hyperbolic manifold10
Partial Hasse invariants for Shimura varieties of Hodge-type10
On the maximal overgroups of Sylow subgroups of finite groups10
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms10
Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces10
On classification of non-radiative solutions for various energy-critical wave equations10
Hecke algebras for p-adic reductive groups and Local Langlands Correspondences for Bernstein blocks10
A categorification of the quantum Lefschetz principle10
Non-local distance functions and geometric regularity10
Maximal polynomial modulations of singular integrals10
Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations10
Ulrich bundles on some threefold scrolls over F10
Genuinely multilinear weighted estimates for singular integrals in product spaces10
Uniqueness of solutions to a class of isotropic curvature problems10
Undistorted fillings in subsets of metric spaces10
Rotation sets and actions on curves10
Seiberg–Witten monopoles and flat PSL(10
Shadowing, finite order shifts and ultrametric spaces9
Tensor category equivariant KK-theory9
The non-resonant bilinear Hilbert-Carleson operator9
Geometry of the eigencurve at CM points and trivial zeros of Katz p-adic L-functions9
Cohomological varieties associated to vertex operator algebras9
Existence of Kähler-Ricci solitons on smoothable Q-Fano varieties9
Stable blowup for the supercritical hyperbolic Yang-Mills equations9
Intermediate dimensions of Bedford–McMullen carpets with applications to Lipschitz equivalence9
Nakayama functors for coalgebras and their applications to Frobenius tensor categories9
Rigidity of the Delaunay triangulations of the plane9
Shifted symplectic higher Lie groupoids and classifying spaces9
Rigidity theorems for minimal Lagrangian surfaces with Legendrian capillary boundary9
Hall algebras and quantum symmetric pairs III: Quiver varieties9
Tensor diagrams and cluster combinatorics at punctures9
A canonical connection on bundles on Riemann surfaces and Quillen connection on the theta bundle9
Scheiderer motives and equivariant higher topos theory9
A scaling limit for the cover time of the binary tree9
Spherical maximal functions on two step nilpotent Lie groups9
Coherence of augmented Iwasawa algebras9
Disjoint frequent hypercyclicity of composition operators9
Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions9
A derived isometry theorem for sheaves9
Theorems of Chernoff and Ingham for certain eigenfunction expansions9
On Chen's biharmonic conjecture for hypersurfaces in R9
A Gröbner basis for Kazhdan-Lusztig ideals of the flag variety of affine type A9
On scalar curvature lower bounds and scalar curvature measure9
Sobolev embeddings in Musielak-Orlicz spaces9
Characterizing traces on crossed products of noncommutative C*-algebras9
A Glazman–Povzner–Wienholtz theorem on graphs9
Orlov's theorem for dg-algebras9
Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains9
On a two dimensional nonlocal shallow-water model8
Factorial relative commutants and the generalized Jung property for II1 factors8
Second moment of the light-cone Siegel transform and applications8
Isolations of cubic lattices from their proper sublattices8
Categorical models for path spaces8
Taylor coefficients of false Jacobi forms and ranks of unimodal sequences8
Some constructions of formally self-adjoint conformally covariant polydifferential operators8
Multiple phase transitions on compact symbolic systems8
Dynamical invariants of mapping torus categories8
Four-dimensional steady gradient Ricci solitons with 3-cylindrical tangent flows at infinity8
Differential Harnack inequalities on path space8
Nerves of 2-categories and 2-categorification of (∞,2)-categories8
Hausdorff dimension of singular vectors in function fields8
The Hurwitz space Picard rank conjecture for d > g − 18
Integral motivic sheaves and geometric representation theory8
Triangular resolutions and effectiveness for holomorphic subelliptic multipliers8
Relaxed highest-weight modules III: Character formulae8
Higher Chow groups with finite coefficients and refined unramified cohomology8
Characters of the group ELd8
The Newton polytope of the Morse discriminant of a univariate polynomial8
Type A DAHA and doubly periodic tableaux8
Abstract Goerss-Hopkins theory8
Structural instability of semi-Siegel Hénon maps8
Answers to questions of Grünbaum and Loewner8
Gromov–Witten invariants of root stacks with mid-ages and the loop axiom8
The extremals of the Kahn-Saks inequality8
The Soul Conjecture in Alexandrov geometry in dimension 47
Editorial Board7
Can we recover an integral quadratic form by representing all its subforms?7
The Ginsburg–Sands theorem and computability theory7
The homology of SL2 of discrete valuation rings7
Umbel convexity and the geometry of trees7
Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori7
Quantitative recurrence and the shrinking target problem for overlapping iterated function systems7
Characterization of the three-dimensional multiple translative tiles7
On Iwasawa main conjectures for elliptic curves at supersingular primes: Beyond the case a = 07
A foliated Hitchin-Kobayashi correspondence7
Koshliakov zeta functions I: Modular relations7
Difference Galois theory and dynamics7
Well-posedness for the free boundary hard phase model in general relativity7
Classifying right-angled Hecke C*-algebras via K-theoretic invariants7
Editorial Board7
Steinberg slices and group-valued moment maps7
Completeness of the hyperarithmetic isomorphism equivalence relation7
Geometric Hodge filtered complex cobordism7
TD implies CC7
On the dimension drop conjecture for diagonal flows on the space of lattices7
Non-uniqueness times for the maximizer of the KPZ fixed point7
Ultrahomogeneous tensor spaces7
Relative perturbation bounds with applications to empirical covariance operators7
Mirror symmetry for Berglund-Hübsch Milnor fibers7
Non-orientable branched coverings, b-Hurwitz numbers, and positivity for multiparametric Jack expansions7
Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces7
Conformal uniformization of planar packings by disk packings7
Functorial resolution except for toroidal locus. Toroidal compactification7
Completeness of certain exponential systems and zeros of lacunary polynomials7
Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps7
Curvature measures and soap bubbles beyond convexity7
Random entire functions from random polynomials with real zeros7
On the minimal extension and structure of braided weakly group-theoretical fusion categories7
A σ2 Penrose inequality for conformal asymptotically hyperbolic 4-discs7
Quasinormalizers in crossed products of von Neumann algebras7
The mixed mock modularity of certain duals of generalized quantum modular forms of Hikami and Lovejoy7
Times two, three, five orbits on T7
Homological mirror symmetry for the symmetric squares of punctured spheres7
Actions on positively curved manifolds and boundary in the orbit space7
The Frobenius morphism in invariant theory II7
Minor identities for Sklyanin determinants7
Rational Cherednik algebras of G(ℓ,p,n) from the Coulomb perspective7
Statistics for unimodal sequences7
Linear orders in NIP structures7
Hall algebras and quantum symmetric pairs of Kac-Moody type7
Min-max theory for free boundary G-invariant minimal hypersurfaces7
Endpoint Schatten class properties of commutators7
Integrability of orthogonal projections, and applications to Furstenberg sets7
Fine properties of symmetric and positive matrix fields with bounded divergence6
Measurings of Hopf algebroids and morphisms in cyclic (co)homology theories6
Editorial Board6
The Daugavet equation for polynomials on C⁎-algebras and JB⁎-triples6
Editorial Board6
Editorial Board6
Editorial Board6
A class of self-affine tiles in R6
Uniform Titchmarsh divisor problems6
Deletion-restriction for sheaf homology of graded atomic lattices6
Asymptotic behavior of the Zhang–Kawazumi's φ-invariants6
Editorial Board6
Matrices of linear forms of constant rank from vector bundles on projective spaces6
Editorial Board6
The Heisenberg calculus, index theory and cyclic cohomology6
Editorial Board6
Free fermionic Schur functions6
Editorial Board6
Editorial Board6
Chebyshev's bias for products of irreducible polynomials6
Composition series of arbitrary cardinality in modular lattices and abelian categories6
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates6
Modular Koszul duality for Soergel bimodules6
Von Neumann algebra conditional expectations with applications to generalized representing measures for noncommutative function algebras6
Composite values of shifted exponentials6
A monopole invariant for families of contact structures6
Editorial Board6
Editorial Board6
Editorial Board6
Auto-equivalences of the modular tensor categories of type A, B, C and G6
Editorial Board6
Editorial Board6
Fubini-Study metrics and Levi-Civita connections on quantum projective spaces6
Editorial Board6
Interpolation, Prekopa and Brunn-Minkowski for F-subharmonicity6
On the finiteness of attractors for one-dimensional maps with discontinuities6
Commensurability of lattices in right-angled buildings6
Editorial Board6
Editorial Board6
Conformally formal manifolds and the uniformly quasiregular non-ellipticity of (6
Editorial Board6
Editorial Board6
First ℓ2-Betti numbers and proper proximality6
Quantum K-theory of toric varieties, level structures, and 3d mirror symmetry6
The failure of Ruelle's property for entire functions6
Isovariant homotopy theory and fixed point invariants6
Editorial Board6
Quiver gauge theories and symplectic singularities6
Shifted symplectic structures on derived Quot-stacks I – Differential graded manifolds –6
Milnor-Witt homotopy sheaves and Morel generalized transfers6
The Deligne–Simpson problem for connections on G5
Anisotropic Caffarelli-Kohn-Nirenberg type inequalities5
Computads for weak ω-categories as an inductive type5
On the L Aleksandrov problem for negative p5
A dynamical Thouless formula5
Editorial Board5
On the semisimplicity of the category KL for affine Lie superalgebras5
The ABCD of topological recursion5
On the Steiner inequality for the L surface area5
On the p-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains5
On the Rajchman property for self-similar measures on R5
The discrete horospherical p-Minkowski problem in hyperbolic space5
Fusion of implementers for spinors on the circle5
Likelihood degenerations5
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