Advances in Mathematics

Article	Citations
Sliced skein algebras and geometric Kauffman bracket	67
Constructing smoothings of stable maps	54
Cohomological varieties associated to vertex operator algebras	43
The extremals of the Kahn-Saks inequality	32
The Σ2-Potentialist Principle	28
Tensor category equivariant KK-theory	28
Isolations of cubic lattices from their proper sublattices	27
Lie algebras arising from two-periodic projective complex and derived categories	27
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property	24
Moduli spaces of filtered G-local systems on curves	23
Nonmodular infinite products and a conjecture of Seo and Yee	23
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction	22
Editorial Board	21
Editorial Board	21
Some constructions of formally self-adjoint conformally covariant polydifferential operators	21
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms	20
Editorial Board	19
Brauer-Manin obstructions on hyperelliptic curves	19
Existence of Kähler-Ricci solitons on smoothable Q-Fano varieties	18
Undistorted fillings in subsets of metric spaces	18
Disjoint frequent hypercyclicity of composition operators	18
Composition series of arbitrary cardinality in modular lattices and abelian categories	18
The Heisenberg calculus, index theory and cyclic cohomology	18
A Klein TQFT: The local Real Gromov-Witten theory of curves	17
Editorial Board	17

First ℓ2-Betti numbers and proper proximality	17
Editorial Board	17
Editorial Board	17
On the dimension drop conjecture for diagonal flows on the space of lattices	16
Characters of the group ELd	16
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates	16
Conformally formal manifolds and the uniformly quasiregular non-ellipticity of (	16
Milnor-Witt homotopy sheaves and Morel generalized transfers	16
The Atiyah-Bott formula and connectivity in chiral Koszul duality	16
Residue families, singular Yamabe problems and extrinsic conformal Laplacians	15
Abstract Goerss-Hopkins theory	15
Gamma integral structure for an invertible polynomial of chain type	15
A Feigin-Frenkel theorem with n singularities	15
Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps	15
The geometric concentration theorem	14
A monopole invariant for families of contact structures	14
Stable cohomology of Aut(Fn) with bivariant twisted coefficients	14
Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups	14
Polygonal surfaces in pseudo-hyperbolic spaces	14
A foliated Hitchin-Kobayashi correspondence	14
Rigidity of the Delaunay triangulations of the plane	14
On the L Aleksandrov problem for negative p	14
Counting rational curves with an m-fold point	13
Hall algebras and quantum symmetric pairs of Kac-Moody type	13
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation	13
Spectral self-similar measures with alternate contraction ratios and consecutive digits	13
Hyperbolic cone metrics and billiards	13
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points	13
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature	13
On the stabilization of relative trace formulae: Descent and the fundamental lemma	13
Kneser graphs are Hamiltonian	13
Regularity of quasi-linear equations with Hörmander vector fields of step two	13
Non-integrability and chaos for natural Hamiltonian systems with a random potential	13
Perturbations of periodic Sturm–Liouville operators	12
The norm of linear extension operators for Cm	12
Editorial Board	12
Parabolic induction and perverse sheaves on W﹨h	12
Beyond the Weyl barrier for GL(2) exponential sums	12
Reflecting measures	12
Tate blueshift and vanishing for Real oriented cohomology theories	12
Choosing points on cubic plane curves: Rigidity and flexibility	12
Schubert calculus from polyhedral parametrizations of Demazure crystals	12
Infinite quantum permutations	12
Rigidity theorems for best Sobolev inequalities	12
State sum models with defects based on spherical fusion categories	12
Editorial Board	12
Editorial Board	12
Monobrick, a uniform approach to torsion-free classes and wide subcategories	11
The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory	11
Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori	11

Editorial Board	11
Characterizing slopes for satellite knots	11
Virtual cycles on projective completions and quantum Lefschetz formula	11
Structure of minimal 2-spheres of constant curvature in the complex hyperquadric	11
Parametrization of Kloosterman sets and SL3-Kloosterman sums	11
Virtual linearity for KPP reaction-diffusion equations	11
Topological boundaries of representations and coideals	11
Non-existence theorems on infinite order corks	11
Quasiperiodic Poincaré persistence at high degeneracy	11
Settled elements in profinite groups	11
Character sheaves for graded Lie algebras: Stable gradings	11
Local terms for the categorical trace	11
An atomic Coxeter presentation	11
The Maxwell-Klein-Gordon equation with scattering data	11
Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]	11
Inflations for representations of shifted quantum affine algebras	11
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space	11
Editorial Board	11
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates	11
Editorial Board	11
Logarithmic tautological rings of the moduli spaces of curves	11
Editorial Board	10
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case	10
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions	10
Singularity formation of complete Ricci flow solutions	10
Linear optimization on varieties and Chern-Mather classes	10
Milnor-Witt motivic cohomology and linear algebraic groups	10
On decompositions for Fano schemes of intersections of two quadrics	10
Editorial Board	10
A flow approach to the Musielak-Orlicz-Gauss image problem	10
The proper Landau-Ginzburg potential is the open mirror map	10
On four-dimensional steady gradient Ricci solitons that dimension reduce	10
Analytic lifts of operator concave functions	10
The number of n-queens configurations	10
The Nadler-Quinn problem on accessible points of arc-like continua	10
A dimensional mass transference principle for Borel probability measures and applications	10
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle	10
Variants of Lehmer's speculation for newforms	10
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)	10
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background	9
Maps, simple groups, and arc-transitive graphs	9
Almost sure dimensional properties for the spectrum and the density of states of Sturmian Hamiltonians	9
Uniform convergence of metrics on Alexandrov surfaces with bounded integral curvature	9
Subelliptic estimates from Gromov hyperbolicity	9
Generalizations of the Q-prime curvature via renormalized characteristic forms	9
Editorial Board	9
Polish topologies on endomorphism monoids of relational structures	9
Realization of rigid C⁎-bicategories as bimodules over type II1 von Neumann algebras	9
Sigma-Prikry forcing III: Down to ℵ	9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties	9
Higher genus Gromov-Witten theory of [9
Spectral invariants over the integers	9
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology	9
Analyticity of resolvents of elliptic operators on quantum graphs with small edges	9
Multi-grounded partitions and character formulas	9
Corrigendum to: “Weil-Petersson Teichmüller space II: Smoothness of flow curves of H	9
A characterization of constant p-mean curvature surfaces in the Heisenberg group H1	9
Editorial Board	9
Cohomology jump loci and absolute sets for singular varieties	9
Exact values of generic subrank	9
Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows	9
Birman-Hilden theory for 3-manifolds	9
Skew localizer and Z2	9
Period function of Maass forms from Ramanujan's lost notebook	9
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs	9
Differential operators on quantized flag manifolds at roots of unity III	9
Editorial Board	9
Unit cyclotomic multiple zeta values for μ2,μ3 and μ4	9
Cartesian double theories: A double-categorical framework for categorical doctrines	9
Single radius spherical cap discrepancy via gegenbadly approximable numbers	8
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces	8
Corrigendum to “Some results about geometric Whittaker model” [Adv. Math. 186 (1) (2004) 143–152]	8
Adams inequalities with exact growth condition for Riesz-like potentials on 8
Editorial Board	8
Bosonization of Feigin-Odesskii Poisson varieties	8
Blaschke–Santaló inequality for many functions and geodesic barycenters of measures	8
Generalising the étale groupoid–complete pseudogroup correspondence	8
Brouwer degree for Kazdan-Warner equations on a connected finite graph	8
The centre of the modular affine vertex algebra	8
On minimal non-σ-scattered linear orders	8

A categorification of the Cartan-Eilenberg formula	8
Frobenius non-stability of nilpotent groups	8
Escape of entropy for countable Markov shifts	8
Combinatorics of the double-dimer model	8
Quantum Sugawara operators in type A	8
C1–regularity for degenerate diffusion equations	8
Tits Alternative for groups acting properly on 2-dimensional recurrent complexes	8
The nuclear dimension of O∞	8
On the Duflo-Serganova functor for the queer Lie superalgebra	8
Completed K-theory and equivariant elliptic cohomology	8
The restricted content and the d-dimensional Analyst's Travelling Salesman Theorem for general sets	8
Quantitative rigidity of almost maximal volume entropy for both RCD	8
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras	8
Secant non-defectivity via collisions of fat points	8
A construction of swap or switch polynomials	8
Universality for cokernels of random matrix products	8
Cone types, automata, and regular partitions in Coxeter groups	8
Homomorphisms from the torus	8
Filtrations on combinatorial intersection cohomology and invariants of subdivisions	7
Editorial Board	7
Orbital stability of smooth solitons for the modified Camassa-Holm equation	7
Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials	7
Isometric embeddings of Teichmüller spaces are covering constructions	7
Finitely generated infinite torsion groups that are residually finite simple	7
Linear equations on Drinfeld modules	7
Generalized double affine Hecke algebras, their representations, and higher Teichmüller theory	7
Subspace configurations and low degree points on curves	7
Measure theoretic laws for limsup sets defined by rectangles	7
A remark on Kohn's theorem on sums of squares of complex vector fields	7
A discrete framework for the interpolation of Banach spaces	7
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors	7
Non existence and strong ill-posedness in C and Sobolev spaces for SQG	7
The rational torsion subgroup of J0(N)	7
Derivative principles for invariant ensembles	7
Editorial Board	7
On extremizing sequences for adjoint Fourier restriction to the sphere	7
Koszul operads governing props and wheeled props	7
Incompressible tensor categories	7
Simplex slicing: An asymptotically-sharp lower bound	7
Logarithmic quasimaps	7
The Hilbert-Kunz density functions of quadric hypersurfaces	7
Symmetric doubly periodic gravity-capillary waves with small vorticity	7
Mean values of long Dirichlet polynomials with higher divisor coefficients	7
Newton–Okounkov bodies and minimal models for cluster varieties	7
Derived categories of Thaddeus pair moduli spaces via d-critical flips	7
Knot theory and cluster algebras	7
On the equality between the infima obtained by solving various Plateau's problems	7
Fisher-KPP equation with small data and the extremal process of branching Brownian motion	7
On meridian-traceless SU(2)–representations of link groups	7
Excision of skein categories and factorisation homology	7
On big Ramsey degrees for binary free amalgamation classes	7
Embedding universality for II1 factors with property (T)	7
Quantum loop groups and shuffle algebras via Lyndon words	7
Ergodic theory on coded shift spaces	7
Long-time behavior for the porous medium equation with small initial energy	7
Affine dual Minkowski problems	7
Stability of homomorphisms, coverings and cocycles II: Examples, applications and open problems	7
A web basis of invariant polynomials from noncrossing partitions	7
Length spectrum compactification of the SO0(2,3)-Hitchin component	7
On formal non-commutative deformations of smooth varieties	7
The entropy of Ricci flows with Type-I scalar curvature bounds	7
Strong cohomological rigidity of Bott manifolds	7
Operations on the Hochschild bicomplex of a diagram of algebras	7
The inequalities of Chern classes and Riemann-Roch type inequalities	6
The fundamental theorem of calculus in differential rings	6
Euler characteristics of tautological bundles over Quot schemes of curves	6
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula	6
Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem	6
Harmonic forms on the Kodaira-Thurston manifold	6
The fields of values of the height zero characters	6
Spectral quantization for ancient asymptotically cylindrical flows	6
Dynamical classification of analytic one-frequency quasi-periodic SO	6
Weighted Ehrhart theory: Extending Stanley's nonnegativity theorem	6
Regularity of solutions to the Dirichlet problem for fast diffusion equations	6
On unification of colored annular sl2<	6
Editorial Board	6
BMO embeddings, chord-arc curves, and Riemann mapping parametrization	6
Self-similar solutions for the Muskat equation	6
Simple lattices and free algebras of modular forms	6
Equivariant algebraic K-theory, G-theory and derived completions	6
Editorial Board	6
The coarse Baum-Connes conjecture with filtered coefficients and product metric spaces	6
Iterated satellite operators on the knot concordance group	6
A comparison method for the fractional Laplacian and applications	6
Isotropic constants and regular polytopes	6
On a method of Hurwitz and its applications	6
Integer superharmonic matrices on the F-lattice	6
The classification of endotrivial complexes	6
Explicit forms and proofs of Zagier's rank three examples for Nahm's problem	6
Leclerc's conjecture on a cluster structure for type A Richardson varieties	6
Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space	6
Dispersive estimates for 2D-wave equations with critical potentials	6
Classification of global solutions to the obstacle problem in the plane	6
Maximally localized Gabor orthonormal bases on locally compact Abelian groups	6
Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators	6