Advances in Mathematics

Article	Citations
Constructing smoothings of stable maps	78
Cohomological varieties associated to vertex operator algebras	62
The extremals of the Kahn-Saks inequality	33
The Σ2-Potentialist Principle	30
Lie algebras arising from two-periodic projective complex and derived categories	28
Polygonal surfaces in pseudo-hyperbolic spaces	26
Stable cohomology of Aut(Fn) with bivariant twisted coefficients	26
Composition series of arbitrary cardinality in modular lattices and abelian categories	25
Extendability of foliations	25
Brauer-Manin obstructions on hyperelliptic curves	24
Integrality of mirror maps and arithmetic homological mirror symmetry for Greene–Plesser mirrors	24
Gamma integral structure for an invertible polynomial of chain type	24
Moduli spaces of filtered G-local systems on curves	23
Some constructions of formally self-adjoint conformally covariant polydifferential operators	22
Isolations of cubic lattices from their proper sublattices	22
Editorial Board	20
Editorial Board	20
Editorial Board	19
Disjoint frequent hypercyclicity of composition operators	19
A Feigin-Frenkel theorem with n singularities	17
A monopole invariant for families of contact structures	17
Residue families, singular Yamabe problems and extrinsic conformal Laplacians	17
Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups	17
First ℓ2-Betti numbers and proper proximality	17
Sliced skein algebras and geometric Kauffman bracket	16

On the dimension drop conjecture for diagonal flows on the space of lattices	16
The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points	16
The geometric concentration theorem	16
A foliated Hitchin-Kobayashi correspondence	16
Editorial Board	16
Rigidity of the Delaunay triangulations of the plane	16
Nonmodular infinite products and a conjecture of Seo and Yee	16
Regularity of quasi-linear equations with Hörmander vector fields of step two	16
Editorial Board	15
Characters of the group ELd	15
Spectral self-similar measures with alternate contraction ratios and consecutive digits	15
Ergodic measures of intermediate entropies for dynamical systems with the approximate product property	15
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction	15
Towards 2-derivators for formal ∞-category theory	15
Hall algebras and quantum symmetric pairs of Kac-Moody type	15
Tensor category equivariant KK-theory	15
A degenerate version of Brion's formula	15
On the L Aleksandrov problem for negative p	14
Homological n-systole in (n + 1)-manifolds and bi-Ricci curvature	14
Counting rational curves with an m-fold point	14
Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation	14
Undistorted fillings in subsets of metric spaces	14
Rigidity theorems for best Sobolev inequalities	14
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates	14
Hyperbolic cone metrics and billiards	14
Kneser graphs are Hamiltonian	14
The norm of linear extension operators for Cm	13
Editorial Board	13
Editorial Board	13
Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori	13
Local terms for the categorical trace	13
Choosing points on cubic plane curves: Rigidity and flexibility	13
Editorial Board	13
Inflations for representations of shifted quantum affine algebras	13
On decompositions for Fano schemes of intersections of two quadrics	13
An atomic Coxeter presentation	13
Editorial Board	13
Virtual cycles on projective completions and quantum Lefschetz formula	13
Editorial Board	13
Event horizon gluing and black hole formation in vacuum: The very slowly rotating case	13
The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory	13
Parametrization of Kloosterman sets and SL3-Kloosterman sums	12
State sum models with defects based on spherical fusion categories	12
Virtual linearity for KPP reaction-diffusion equations	12
The Nadler-Quinn problem on accessible points of arc-like continua	12
Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]	12
Disk patterns, quasi-duality and the uniform bounded diameter conjecture	12
The Maxwell-Klein-Gordon equation with scattering data	12
Settled elements in profinite groups	12
The number of n-queens configurations	12

Editorial Board	12
Minkowski problems of centro-section measures	12
Non-integrability and chaos for natural Hamiltonian systems with a random potential	12
Editorial Board	12
Beyond the Weyl barrier for GL(2) exponential sums	11
On the packing dimension of weighted singular matrices on fractals	11
Character sheaves for graded Lie algebras: Stable gradings	11
Modular	11
A dimensional mass transference principle for Borel probability measures and applications	11
Reflecting measures	11
Infinite quantum permutations	11
A flow approach to the Musielak-Orlicz-Gauss image problem	11
Characterizing slopes for satellite knots	11
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions	11
Iterated function systems of holomorphic maps	11
Invariant sets and hyperbolic closed Reeb orbits	11
Motivic configurations on the line	10
On the refined analyticity radius of 3-D generalized Navier-Stokes equations	10
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space	10
A perturbative construction of primitive forms from log Landau-Ginzburg mirrors of toric manifolds	10
Quasiperiodic Poincaré persistence at high degeneracy	10
Topological boundaries of representations and coideals	10
Perturbations of periodic Sturm–Liouville operators	10
Logarithmic tautological rings of the moduli spaces of curves	10
Milnor-Witt motivic cohomology and linear algebraic groups	10
Stationary completeness: The N-body short-range case	10
Gaudin models and moduli space of flower curves	10
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates	10
Non-existence theorems on infinite order corks	10
Tate blueshift and vanishing for Real oriented cohomology theories	10
Editorial Board	9
Cartesian double theories: A double-categorical framework for categorical doctrines	9
Discrete fractals: Dimensions, quasi-isometric invariance and self-similarity	9
Subelliptic estimates from Gromov hyperbolicity	9
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle	9
The nuclear dimension of	9
Birman-Hilden theory for 3-manifolds	9
Singularity formation of complete Ricci flow solutions	9
Editorial Board	9
Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of SO(n,1)	9
Variants of Lehmer's speculation for newforms	9
Universality for cokernels of random matrix products	9
Multi-grounded partitions and character formulas	9
Unit cyclotomic multiple zeta values for μ2,μ3 and μ4	9
Linear optimization on varieties and Chern-Mather classes	9
Bosonization of Feigin-Odesskii Poisson varieties	9
Realization of rigid C⁎-bicategories as bimodules over type II1 von Neumann algebras	9
Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows	9
Exact values of generic subrank	9
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties	9
On the Duflo-Serganova functor for the queer Lie superalgebra	9
Analytic lifts of operator concave functions	9
Spectral invariants over the integers	9
Period function of Maass forms from Ramanujan's lost notebook	9
Editorial Board	9
Gap Theorem on Riemannian manifolds using Ricci flow	8
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background	8
The centre of the modular affine vertex algebra	8
The rational torsion subgroup of J0(N)	8
On meridian-traceless SU(2)–representations of link groups	8
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors	8
Maps, simple groups, and arc-transitive graphs	8
Completed K-theory and equivariant elliptic cohomology	8
Sigma-Prikry forcing III: Down to ℵ	8
Single radius spherical cap discrepancy via gegenbadly approximable numbers	8
The proper Landau-Ginzburg potential is the open mirror map	8
On four-dimensional steady gradient Ricci solitons that dimension reduce	8
Homomorphisms from the torus	8
Higher genus Gromov-Witten theory of [	8
Brouwer degree for Kazdan-Warner equations on a connected finite graph	8
A remark on Kohn's theorem on sums of squares of complex vector fields	8
Operations on the Hochschild bicomplex of a diagram of algebras	8
Filtrations on combinatorial intersection cohomology and invariants of subdivisions	8
Quantitative rigidity of almost maximal volume entropy for both RCD	8
Polish topologies on endomorphism monoids of relational structures	8
On minimal non-σ-scattered linear orders	8
Rigidity for piecewise smooth circle homeomorphisms and certain GIETs	8
Editorial Board	8
Generalizations of the Q-prime curvature via renormalized characteristic forms	8
Almost sure dimensional properties for the spectrum and the density of states of Sturmian Hamiltonians	8

Uniform convergence of metrics on Alexandrov surfaces with bounded integral curvature	8
C1–regularity for degenerate diffusion equations	8
Frobenius non-stability of nilpotent groups	8
Formally integrable structures II. Division problem	8
On the equality between the infima obtained by solving various Plateau's problems	8
Editorial Board	8
Editorial Board	8
An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology	8
On formal non-commutative deformations of smooth varieties	8
Iterated function systems of affine expanding and contracting maps on the unit interval	8
Length of triangulated categories	8
A characterization of constant p-mean curvature surfaces in the Heisenberg group H1	8
(Co)Minuscule Hecke categories	7
Excision of skein categories and factorisation homology	7
Prescribed L curvature problem	7
Quasianalyticity, uncertainty, and integral transforms on higher grassmannians	7
Stability of homomorphisms, coverings and cocycles II: Examples, applications and open problems	7
Editorial Board	7
Groupoids and skeletal categories form a pretorsion theory in 7
On big Ramsey degrees for binary free amalgamation classes	7
Quantum Sugawara operators in type A	7
A construction of swap or switch polynomials	7
Logarithmic quasimaps	7
A general quantified Ingham-Karamata Tauberian theorem	7
Editorial Board	7
Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras	7
Derivative principles for invariant ensembles	7
A discrete framework for the interpolation of Banach spaces	7
Monochromatic products and sums in 2-colorings of N	7
Corrigendum to “Successive minima of line bundles” [Adv. Math. 365 (2020) 107045]	7
The spectral picture and joint spectral radius of the generalized spherical Aluthge transform	7
Translating annuli for mean curvature flow	7
A web basis of invariant polynomials from noncrossing partitions	7
A higher-dimensional Chevalley restriction theorem for orthogonal groups	7
Subspace configurations and low degree points on curves	7
Newton–Okounkov bodies and minimal models for cluster varieties	7
Koszul operads governing props and wheeled props	7
Escape of entropy for countable Markov shifts	7
Orbital stability of smooth solitons for the modified Camassa-Holm equation	7
The Hilbert-Kunz density functions of quadric hypersurfaces	7
Finitely generated infinite torsion groups that are residually finite simple	7
Strong cohomological rigidity of Bott manifolds	7
On extremizing sequences for adjoint Fourier restriction to the sphere	7
Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem	7
Simple lattices and free algebras of modular forms	7
Length spectrum compactification of the SO0(2,3)-Hitchin component	7
Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces	7
Knot theory and cluster algebras	7
Isometric embeddings of Teichmüller spaces are covering constructions	7
Non existence and strong ill-posedness in C and Sobolev spaces for SQG	7
Secant non-defectivity via collisions of fat points	7
Incompressible tensor categories	7
On the Tambara affine line	7
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces	7
The entropy of Ricci flows with Type-I scalar curvature bounds	7
Linear equations on Drinfeld modules	7
Mean values of long Dirichlet polynomials with higher divisor coefficients	7
A comparison method for the fractional Laplacian and applications	6
The inequalities of Chern classes and Riemann-Roch type inequalities	6
Rank-one sheaves and stable pairs on surfaces	6
The asymptotic behavior of Bergman kernels	6
Iterated satellite operators on the knot concordance group	6
Conformal product structures on compact Kähler manifolds	6
On the passage from finite braces to pre-Lie rings	6
Q-polynomial expansion for Brézin-Gross-Witten tau-function	6
A matryoshka structure of higher secant varieties and the generalized Bronowski's conjecture	6
A unified approach to three themes in harmonic analysis (I & II)	6
On critical renormalization of complex polynomials	6
The local categorical DT/PT correspondence	6
On a method of Hurwitz and its applications	6
Profinite almost rigidity in 3-manifolds	6
Dynamical classification of analytic one-frequency quasi-periodic SO	6
Maximally localized Gabor orthonormal bases on locally compact Abelian groups	6
Quantum loop groups and shuffle algebras via Lyndon words	6
Geodesic planes in a geometrically finite end and the halo of a measured lamination	6
Noether inequality for irregular threefolds of general type	6
Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators	6
Corrigendum to “Energy gap for Yang–Mills connections, II: Arbitrary closed Riemannian manifolds” [Adv. Math. 312 (2017) 547–587]	6
Quantization of restricted Lagrangian subvarieties in positive characteristic	6
Affine density, von Neumann dimension and a problem of Perelomov	6
Corrigendum to “Query complexity and the polynomial Freiman-Ruzsa conjecture” [Advances in Mathematics 392 (2021) 108043]	6
A Quillen adjunction between globular and complicial approaches to (∞,n)-categories	6
The fundamental theorem of calculus in differential rings	6
Global Ricci curvature behaviour for the Kähler-Ricci flow with finite time singularities	6
Classification of global solutions to the obstacle problem in the plane	6
Editorial Board	6
Zeros of optimal polynomial approximants in ℓA	6
Scaling limits of loop-erased Markov chains on resistance spaces via a partial loop-erasing procedure	6
Semisimple field theories detect stable diffeomorphism	6
Lifting of locally initial objects and universal (co)acting Hopf algebras	6
Proofs of McIntosh's conjecture on Franel integrals and two generalizations	6
Non-simplicial quantum toric varieties	6
Integer superharmonic matrices on the F-lattice	6
Uniform estimates for 2D quasilinear wave	6
Existence and non-uniqueness of weak solutions with continuous energy to the 3D deterministic and stochastic Navier-Stokes equations	6