Advances in Mathematics

Article	Citations
Sliced skein algebras and geometric Kauffman bracket	70
Constructing smoothings of stable maps	57
Cohomological varieties associated to vertex operator algebras	30
The extremals of the Kahn-Saks inequality	29
The Σ2-Potentialist Principle	27
Tensor category equivariant KK-theory	27
Extendability of foliations	24
Lie algebras arising from two-periodic projective complex and derived categories	24
Polygonal surfaces in pseudo-hyperbolic spaces	24
Stable cohomology of Aut(Fn) with bivariant twisted coefficients	24
Brauer-Manin obstructions on hyperelliptic curves	22
Composition series of arbitrary cardinality in modular lattices and abelian categories	22
Regularity of quasi-linear equations with Hörmander vector fields of step two	21
Gamma integral structure for an invertible polynomial of chain type	21
Integrality of mirror maps and arithmetic homological mirror symmetry for Greene–Plesser mirrors	20
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property	19
Moduli spaces of filtered G-local systems on curves	19
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction	18
Editorial Board	17
Editorial Board	17
Some constructions of formally self-adjoint conformally covariant polydifferential operators	17
Editorial Board	17
The Heisenberg calculus, index theory and cyclic cohomology	16
Editorial Board	16
Editorial Board	16

First ℓ2-Betti numbers and proper proximality	16
Disjoint frequent hypercyclicity of composition operators	16
Undistorted fillings in subsets of metric spaces	16
Editorial Board	16
Residue families, singular Yamabe problems and extrinsic conformal Laplacians	15
A foliated Hitchin-Kobayashi correspondence	15
Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps	15
A Feigin-Frenkel theorem with n singularities	15
Abstract Goerss-Hopkins theory	14
On the L Aleksandrov problem for negative p	14
Rigidity of the Delaunay triangulations of the plane	14
Nonmodular infinite products and a conjecture of Seo and Yee	14
A monopole invariant for families of contact structures	14
Characters of the group ELd	14
Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups	14
The geometric concentration theorem	14
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points	13
Isolations of cubic lattices from their proper sublattices	13
Hyperbolic cone metrics and billiards	13
The norm of linear extension operators for Cm	13
Perturbations of periodic Sturm–Liouville operators	13
Counting rational curves with an m-fold point	13
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates	13
Hall algebras and quantum symmetric pairs of Kac-Moody type	13
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature	13
Spectral self-similar measures with alternate contraction ratios and consecutive digits	13
State sum models with defects based on spherical fusion categories	13
Editorial Board	13
On the dimension drop conjecture for diagonal flows on the space of lattices	13
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation	13
Kneser graphs are Hamiltonian	13
Rigidity theorems for best Sobolev inequalities	13
Choosing points on cubic plane curves: Rigidity and flexibility	13
Editorial Board	13
Editorial Board	12
Virtual cycles on projective completions and quantum Lefschetz formula	12
Topological boundaries of representations and coideals	12
Local terms for the categorical trace	12
Editorial Board	12
Character sheaves for graded Lie algebras: Stable gradings	12
Editorial Board	12
The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory	12
Parabolic induction and perverse sheaves on W﹨h	12
Beyond the Weyl barrier for GL(2) exponential sums	12
Quasiperiodic Poincaré persistence at high degeneracy	12
Inflations for representations of shifted quantum affine algebras	12
Editorial Board	12
Schubert calculus from polyhedral parametrizations of Demazure crystals	12
Characterizing slopes for satellite knots	11
Reflecting measures	11

Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space	11
An atomic Coxeter presentation	11
Editorial Board	11
Stationary completeness: The N-body short-range case	11
Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]	11
Settled elements in profinite groups	11
On the stabilization of relative trace formulae: Descent and the fundamental lemma	11
Logarithmic tautological rings of the moduli spaces of curves	11
Tate blueshift and vanishing for Real oriented cohomology theories	11
Virtual linearity for KPP reaction-diffusion equations	11
The Nadler-Quinn problem on accessible points of arc-like continua	11
Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori	11
Non-integrability and chaos for natural Hamiltonian systems with a random potential	11
The Maxwell-Klein-Gordon equation with scattering data	11
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates	11
Editorial Board	11
On decompositions for Fano schemes of intersections of two quadrics	11
Non-existence theorems on infinite order corks	11
Singularity formation of complete Ricci flow solutions	10
Realization of rigid C⁎-bicategories as bimodules over type II1 von Neumann algebras	10
Infinite quantum permutations	10
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case	10
Invariant sets and hyperbolic closed Reeb orbits	10
Milnor-Witt motivic cohomology and linear algebraic groups	10
A characterization of constant p-mean curvature surfaces in the Heisenberg group H1	10
Editorial Board	10
Disk patterns, quasi-duality and the uniform bounded diameter conjecture	10
A flow approach to the Musielak-Orlicz-Gauss image problem	10
Gaudin models and moduli space of flower curves	10
The proper Landau-Ginzburg potential is the open mirror map	10
Editorial Board	10
Parametrization of Kloosterman sets and SL3-Kloosterman sums	10
A dimensional mass transference principle for Borel probability measures and applications	10
The number of n-queens configurations	10
Motivic configurations on the line	10
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions	10
Polish topologies on endomorphism monoids of relational structures	9
Birman-Hilden theory for 3-manifolds	9
Spectral invariants over the integers	9
C1–regularity for degenerate diffusion equations	9
Exact values of generic subrank	9
Sigma-Prikry forcing III: Down to ℵ	9
Bosonization of Feigin-Odesskii Poisson varieties	9
Variants of Lehmer's speculation for newforms	9
Period function of Maass forms from Ramanujan's lost notebook	9
Corrigendum to: “Weil-Petersson Teichmüller space II: Smoothness of flow curves of H	9
Cohomology jump loci and absolute sets for singular varieties	9
Editorial Board	9
Maps, simple groups, and arc-transitive graphs	9
On the Duflo-Serganova functor for the queer Lie superalgebra	9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties	9
Linear optimization on varieties and Chern-Mather classes	9
Almost sure dimensional properties for the spectrum and the density of states of Sturmian Hamiltonians	9
Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows	9
Generalizations of the Q-prime curvature via renormalized characteristic forms	9
Multi-grounded partitions and character formulas	9
Higher genus Gromov-Witten theory of [9
Analytic lifts of operator concave functions	9
Iterated function systems of affine expanding and contracting maps on the unit interval	9
Cone types, automata, and regular partitions in Coxeter groups	9
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology	9
The nuclear dimension of	9
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background	8
Homomorphisms from the torus	8
Blaschke–Santaló inequality for many functions and geodesic barycenters of measures	8
Cartesian double theories: A double-categorical framework for categorical doctrines	8
On minimal non-σ-scattered linear orders	8
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle	8
The centre of the modular affine vertex algebra	8
Editorial Board	8
Uniform convergence of metrics on Alexandrov surfaces with bounded integral curvature	8
On four-dimensional steady gradient Ricci solitons that dimension reduce	8
Subelliptic estimates from Gromov hyperbolicity	8
Analyticity of resolvents of elliptic operators on quantum graphs with small edges	8
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)	8
A construction of swap or switch polynomials	8
Single radius spherical cap discrepancy via gegenbadly approximable numbers	8
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs	8
Universality for cokernels of random matrix products	8
Gap Theorem on Riemannian manifolds using Ricci flow	8

Length of triangulated categories	8
Brouwer degree for Kazdan-Warner equations on a connected finite graph	8
Unit cyclotomic multiple zeta values for μ2,μ3 and μ4	8
Quantum Sugawara operators in type A	8
Completed K-theory and equivariant elliptic cohomology	8
On formal non-commutative deformations of smooth varieties	7
Operations on the Hochschild bicomplex of a diagram of algebras	7
A web basis of invariant polynomials from noncrossing partitions	7
Non existence and strong ill-posedness in C and Sobolev spaces for SQG	7
Secant non-defectivity via collisions of fat points	7
Logarithmic quasimaps	7
Incompressible tensor categories	7
The rational torsion subgroup of J0(N)	7
Knot theory and cluster algebras	7
On meridian-traceless SU(2)–representations of link groups	7
Frobenius non-stability of nilpotent groups	7
Editorial Board	7
Fisher-KPP equation with small data and the extremal process of branching Brownian motion	7
Quantitative rigidity of almost maximal volume entropy for both RCD	7
A discrete framework for the interpolation of Banach spaces	7
Koszul operads governing props and wheeled props	7
Orbital stability of smooth solitons for the modified Camassa-Holm equation	7
Subspace configurations and low degree points on curves	7
A categorification of the Cartan-Eilenberg formula	7
Derivative principles for invariant ensembles	7
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors	7
Length spectrum compactification of the SO0(2,3)-Hitchin component	7
The restricted content and the d-dimensional Analyst's Travelling Salesman Theorem for general sets	7
On big Ramsey degrees for binary free amalgamation classes	7
Filtrations on combinatorial intersection cohomology and invariants of subdivisions	7
Escape of entropy for countable Markov shifts	7
Adams inequalities with exact growth condition for Riesz-like potentials on 7
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces	7
Linear equations on Drinfeld modules	7
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras	7
Strong cohomological rigidity of Bott manifolds	7
The Hilbert-Kunz density functions of quadric hypersurfaces	7
Mean values of long Dirichlet polynomials with higher divisor coefficients	7
A remark on Kohn's theorem on sums of squares of complex vector fields	7
On extremizing sequences for adjoint Fourier restriction to the sphere	7
Finitely generated infinite torsion groups that are residually finite simple	7
Excision of skein categories and factorisation homology	7
On the equality between the infima obtained by solving various Plateau's problems	7
The entropy of Ricci flows with Type-I scalar curvature bounds	7
Editorial Board	7
Long-time behavior for the porous medium equation with small initial energy	7
Corrigendum to “Some results about geometric Whittaker model” [Adv. Math. 186 (1) (2004) 143–152]	7
Ergodic theory on coded shift spaces	6
BMO embeddings, chord-arc curves, and Riemann mapping parametrization	6
Simplex slicing: An asymptotically-sharp lower bound	6
Faà di Bruno's formula and inversion of power series	6
Quasimodularity and limiting behavior for variations of MacMahon series	6
A higher-dimensional Chevalley restriction theorem for orthogonal groups	6
Quantum loop groups and shuffle algebras via Lyndon words	6
Coherency for monoids and purity for their acts	6
Effective results in the metric theory of quantitative Diophantine approximation	6
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula	6
The inequalities of Chern classes and Riemann-Roch type inequalities	6
A comparison method for the fractional Laplacian and applications	6
Iterated satellite operators on the knot concordance group	6
On unification of colored annular sl2<	6
Ga	6
Symmetric doubly periodic gravity-capillary waves with small vorticity	6
The number of string C-groups of high rank	6
Explicit forms and proofs of Zagier's rank three examples for Nahm's problem	6
The classification of endotrivial complexes	6
Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials	6
Translating annuli for mean curvature flow	6
Simple lattices and free algebras of modular forms	6
Groupoids and skeletal categories form a pretorsion theory in 6
Self-similar solutions for the Muskat equation	6
Editorial Board	6
On a method of Hurwitz and its applications	6
Isotropic constants and regular polytopes	6
Nijenhuis geometry	6
Dynamical classification of analytic one-frequency quasi-periodic SO	6
The coarse Baum-Connes conjecture with filtered coefficients and product metric spaces	6
On the equality of test ideals	6
Generalized double affine Hecke algebras, their representations, and higher Teichmüller theory	6
Affine dual Minkowski problems	6
Isometric embeddings of Teichmüller spaces are covering constructions	6
Euler characteristics of tautological bundles over Quot schemes of curves	6
Measure theoretic laws for limsup sets defined by rectangles	6
Curvature homogeneous hypersurfaces in space forms	6
Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem	6
Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces	6
Totally integrable symplectic billiards are ellipses	6
Analytic structures and harmonic measure at bifurcation locus	6
The fundamental theorem of calculus in differential rings	6
Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators	6
Profinite almost rigidity in 3-manifolds	6
Classification of global solutions to the obstacle problem in the plane	6
Integer superharmonic matrices on the F-lattice	6
Stability of homomorphisms, coverings and cocycles II: Examples, applications and open problems	6
Global Ricci curvature behaviour for the Kähler-Ricci flow with finite time singularities	6