Pure and Applied Mathematics Quarterly

Article	Citations
On the generalized shuffle-exchange problem	36
Quasi-random graphs of given density and Ramsey numbers	27
The algebraic part of motivic cohomology	25
The genericity theorem for the essential dimension of tame stacks	12
Optimization results for sphere maps	9
Ricci-flat $5$-regular graphs	7
Moufang patterns and geometry of information	7
On modular categories $\mathcal{O}$ for quantized symplectic resolutions	6
On $p$-integrality of instanton numbers	6
Analytic and rational sections of relative semi-abelian varieties	5
A binary operation on irreducible components of Lusztig's nilpotent varieties II: applications and conjectures for representations of $\mathrm{GL}_n$ over a non-archimedean local field	5
Singular metrics and a conjecture by Campana and Peternell	5
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	4
Twisting pure spinor superfields, with applications to supergravity	4
On characteristic elements modulo $p$ in non-commutative Iwasawa theory	4
Toricity in families of Fano varieties	4
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers	4
Factorization algebras and abelian CS/WZW-type correspondences	4
An explicit bound for complements on toric varieties	4
Quantization of Hitchin integrable system via positive characteristic	4
Compactness of Kähler–Ricci solitons on Fano manifolds	4
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	4
Which Hessenberg varieties are GKM?	4
Hilbert reciprocity using $K$-theory localization	3
A bi-variant algebraic cobordism via correspondences	3

Disjointness of Möbius from asymptotically periodic functions	3
Kawamata-Viehweg vanishing for toric varieties	3
The Lagrangian density of the disjoint union of a $3$-uniform tight path and a matching and the Turán number of its extension	3
Any oriented non-closed connected $4$-manifold can be spread holomorphically over the complex projective plane minus a point	3
Classification of multiplicity free quasi-Hamiltonian manifolds	3
Morphisms from a very general hypersurface	3
The road to GGP	3
Non-density of stable mappings on non-compact manifolds	3
A note on the topology of Minkowski sums and complete intersections	3
Uniform boundedness of semistable pure sheaves on smooth projective varieties	3
Covering complexity, scalar curvature, and quantitative $K$-theory	3
On a complex analytic Gross-Zagier formula for Stark-Heegner points over genus fields of real quadratic fields and applications	2
Working with Don	2
On the Feynman graph integrals on elliptic curves	2
Supertranslation invariance of angular momentum at null infinity in double null gauge	2
Revisiting the Bel–Robinson tensor	2
Iterated collapsing phenomenon on $G_2$-manifolds	2
On the projective structures on Riemann surfaces	2
On Calabi–Yau fractional complete intersections	2
Planar diagrammatics of self-adjoint functors and recognizable tree series	2
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	2
Nash blowups of 2-generic determinantal varieties in positive characteristic	2
$q$-bic hypersurfaces and their Fano schemes	2
Total Cartier index of a bounded family	2
Congruences via fibered motives	2
Degenerate complex Hessian equations on compact Hermitian manifolds	2
Relative pluripotential theory on compact Kähler manifolds	2
Stability of Minkowski spacetime in exterior regions	2
Coassociative submanifolds in Joyce's generalised Kummer constructions	2
Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces	2
Localization and standard modules for real semisimple Lie groups II: irreducibility and classification	2
Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory	2
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	2
Asymptotic properties of tensor powers in symmetric tensor categories	2
Maximal Mumford curves from planar graphs	2
Lower bounds for Steklov eigenfunctions	2
Fibonacci polynomials	2
Equivariant spaces of matrices of constant rank	2
Error estimate for the approximate solution to multivariate feedback particle filter	2
The Birch-Swinnerton-Dyer exact formula for quadratic twists of elliptic curves	2
Stability and bifurcations of symmetric tops	2
Effective Kohn algorithm for special domain defined by functions depending on all variables	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
Mukai duality on adiabatic coassociative fibrations	1
Composite media, almost touching disks and the maximum principle	1
Dimension of the deformation space of ordinary representations in the cyclotomic limit	1
The $\partial$-operator and real holomorphic vector fields	1
Horn conditions for quiver subrepresentations and the moment map	1
Mirror symmetry for open $r$-spin invariants	1
Künneth formulas for path homology	1

Categorical Diagonalization and $p$-cells	1
The number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits	1
Dimensional reduction of B-fields in F-theory	1
Abstract noncommutative Fourier series on $\Gamma \setminus SE(2)$	1
On normal Seshadri stratifications	1
Special issue in memory of Jean-Pierre Demailly	1
On tidal energy in Newtonian two-body motion with infinite initial separation	1
Catalan numbers and noncommutative Hilbert schemes	1
Symmetry algebras of polynomial models in complex dimension three	1
On the non-existence of trapped surfaces under low-regularity bounds	1
Genericity on submanifolds and application to universal hitting time statistics	1
The Hitchin morphism for certain surfaces fibered over a curve	1
Monotone quantities of $p$-harmonic functions and their applications	1
The Strominger system in the square of a Kähler class	1
On Sun-Zhang's theory of Fano fibrations: weighted volumes, moduli and bubbling Fano fibrations	1
Flows of $\text{G}_2$-structures, II: curvature, torsion, symbols, and functionals	1
Symplectic geometric flows	1
Global behavior at infinity of period mappings defined on algebraic surface	1
On Treibich-Verdier curves	1
The weight two compactly supported Euler characteristic of moduli spaces of curves	1
Twisted functoriality in nonabelian Hodge theory in positive characteristic	1
Generalizing the Mukai Conjecture to the symplectic category and the Kostant game	1
Moment polytopes on Sasaki manifolds and volume minimization	1
Hilbert schemes of points on surfaces and multiple $q$-zeta values	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
Actions of finite group schemes on curves	1
Deformations of Fano manifolds with weighted solitons	1
Kähler structures for holomorphic submersions	1
Kerr stability for small angular momentum	1
More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups	1
Toward the classification of threefold extremal contractions with one-dimensional fibers	1
Moduli of generalized syzygy bundles	1
On a level set version of partial uniform ellipticity and applications to a Krylov type equation	1
L-function genera and applications	1
The based rings of two-sided cells in an Affine Weyl group of type $\tilde{B}_3$, II	1
Basic estimates for the generalized $\partial$-complex	1
Canonical bundle formula and a conjecture on certain algebraic fiber spaces by Schnell	1
Singular Turán numbers of stars	1
$p$-symplectic and $p$-pluriclosed structures on solvmanifolds	1
Rationality of adjoint orbits	1
Residual finiteness for central extensions of lattices in $\operatorname{PU}(n,1)$ and negatively curved projective varieties	1
Holomorphic 1-forms on some coverings of the moduli space of curves	1
Differential of a period mapping at a singularity	1
A general framework and examples of the analytic Langlands correspondence	1
Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids	1
On the computation of character values for finite Chevalley groups of exceptional type	1
Characterizing Jacobians of algebraic curves with involution	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1
Quantum complexity of permutations	1
The logarithmic Minkowski problem in $R^2$	1
Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space	1
Mld versus lct near zero	1
A proof of van der Waerden’s Conjecture on random Galois groups of polynomials	0
A connection between the Milnor K2 group and the Shafarevich-Tate group	0
On the Drinfeld coproduct	0
Bergman bundles and applications to the geometry of compact complex manifolds	0
Entropy of Bergman measures of a toric Kaehler manifold	0
A generalized non-vanishing theorem on surfaces	0
Continuity of functions in complex Sobolev spaces	0
Du Bois property of log centers	0
Vanishing theorem of Kohn–Rossi cohomology class and rigidity of Sasakian space form	0
A spinorial Hopf differential for associative submanifolds	0
Standard conjectures and height pairings	0
Stable pairs of 2-dimensional sheaves on 4-folds	0
A Lie–Rinehart algebra in general relativity	0
On three homework problems from Vaughan Jones	0
Higher dimensional birational geometry and the work of James Mckernan	0
On the Birch-Swinnerton-Dyer conjecture for rational elliptic curves with complex multiplication and analytic rank one	0
Span of restriction of Hilbert theta functions	0
$H^{\frac{11}{4}}(\mathbb{R}^2)$ Ill-Posedness for 2D Elastic Wave System	0
On the vanishing of adjoint Bloch–Kato Selmer groups of irreducible automorphic Galois representations	0
Spin Calogero-Moser periodic chains and two dimensional Yang-Mills theory with corners	0
Null Penrose inequality in a perturbed Schwarzschild spacetime	0
Bergman kernels for Paley–Wiener spaces and Nazarov’s proof of the Bourgain–Milman theorem	0
On K-stability, height bounds and the Manin-Peyre conjecture	0
Equivariant geometry of odd-dimensional complete intersections of two quadrics	0
Semi-global controllability of a geometric wave equation	0
General base change for relative Du Bois complexes	0
Closed-string mirror symmetry for log Calabi-Yau surfaces	0
The semi-infinite cohomology of Weyl modules with two singular points	0

Cycle classes on abelian varieties and the geometry of the Abel-Jacobi map	0
Milnor fibre homology complexes	0
Sum expressions for $p$-adic Hecke $L$-functions of totally real fields	0
Quotients of Jacobians	0
Remarks on the ABG induction theorem	0
Internal symmetry of the $L_{\leqslant 3}$ algebra arising from a Lie pair	0
Multiplicity free $U(2)$-actions and triangles	0
Hyperbolic domains in real Euclidean spaces	0
The sharp Gevrey Kotake–Narasimhan theorem with an elementary proof	0
Special cycles for Shtukas are closed	0
Lines, conics, and all that	0
Curvature in the balance: the Weyl functional and scalar curvature of $4$-manifolds	0
Affine Deligne-Lusztig varieties associated with generic Newton points	0
Initial data on big bang singularities in symmetric settings	0
On module categories related to $Sp(N-1) \subset Sl(N)$	0
Theta characteristics and noncongruence modular forms	0
A note on the primitive cohomology lattice of a projective surface	0
Moishezon morphisms	0
Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes	0
Twisted composition algebras and Arthur packets for triality $\operatorname{Spin}_8$	0
Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of $C^2$	0
Bubbling of Kähler-Einstein metrics	0
Seismic imaging with generalized Radon transforms: stability of the Bolker condition	0
A remark on calibrations and Lie groups	0
PBW bases for modified quantum groups	0
Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory	0
Interplay between nonlinear potential theory and fully nonlinear elliptic PDEs	0
Topological quantum mechanics on orbifolds and orbifold index	0
Topological aspects of Boolean functions	0
Essential dimension of isogenies	0
Sums of CR and projective dual CR functions	0
Direct proof of termination of the Kohn algorithm in the real-analytic case	0
Solution of two-dimensional optimal control problem using Legendre Block-Pulse polynomial basis	0
On the Kähler–Ricci flow on Fano manifolds	0
Graded extensions of generalized Haagerup categories	0
Sobolev estimates and duality for $\overline{\partial}$ on domains in $\mathbb{CP}^n$	0
The descendant colored Jones polynomials	0
On finite multiple zeta values of level two	0
$3$-reconstructibility of rooted trees	0
Foreword	0
Indefinite theta series: the case of an $N$-gon	0
Singular plane sections and the conics in the Fermat quintic threefold	0
Radiation and Asymptotics for Spacetimes with Non-Isotropic Mass	0
Almost invariant subspaces and operators	0
Spectral extremal results on the $\alpha$-index of graphs without minors and star forests	0
Régulateurs $p$-adiques en théorie d'Iwasawa	0
Ext vanishing over Gorenstein quasi-deformations of high codimension	0
Gaiotto conjecture for $\operatorname{Rep}_q(\operatorname{GL}(N-1 \mid N))$	0
Holomorphic mappings between hyperquadrics with positive signature	0
Pure braid group actions on category $\mathcal{O}$ modules	0
Dedekind sums via Atiyah–Bott–Lefschetz	0
Semiregularity maps and deformations of modules over Lie algebroids	0
Sup-norm estimates for $\overline{\partial}$	0
Galois cohomology of elliptic curves over anticyclotomic extensions	0
Dynamics of Cayley forms	0
The generality of closed $\mathrm{G}_2$ solitons	0
The mathematical work of H. Blaine Lawson, Jr.	0
Spectral measures for $Sp(2)$	0
Distribution of values of Gaussian hypergeometric functions	0
Positivity of $\imath$canonical bases of type AIII/AIV	0
On the dimension of Dolbeault harmonic $(1,1)$-forms on almost Hermitian $4$-manifolds	0
$\mathbb{P}^1$-fibrations in F-theory and string dualities	0
Analytic and Reidemeister torsions of digraphs and path complexes	0
Remark on the nonlinear stability of Minkowski spacetime: a rigidity theorem	0
A few remarks on effectivity and good minimal models	0
Bergman–Calabi diastasis and Kähler metric of constant holomorphic sectional curvature	0
The nilpotent quotients of normal quasi-projective varieties with proper quasi-Albanese map	0
Real quadratic Borcherds products	0
$RO(C_2)$-graded equivariant cohomology and classical Steenrod squares	0
Character sheaves for symmetric pairs: spin groups	0
A fully-nonlinear flow and quermassintegral inequalities in the sphere	0
Shafarevich mappings and period mappings	0
Hodge numbers of arbitrary sections from linear sections	0
Twisted Milnor hypersurfaces	0
$J^{\mathcal{F}}$-class weighted composition operators	0
Hodge classes on the moduli space of $W(E_6)$-covers and the geometry of $\mathcal{A}_6$	0
Classical and Quantum mechanics on 3D contact manifolds	0
On the virtual invariants of zero entropy groups of compact Kahler manifolds	0
Burnside rings and volume forms with logarithmic poles	0
The Fourier–Mukai transform made easy	0
Covariant guiding laws for fields	0
Quasi-coherent sheaves on complex analytic spaces	0
Even sets of nodes and Gauss genus theory	0
Some inequalities for the dual $p$-quermassintegrals	0
Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds	0
David Kazhdan	0
On the paving size of a subfactor	0
The twisted $G_2$ equation for strong $G_2$-structures with torsion	0
On squares of Hecke eigenforms	0
Weighted uniform Diophantine approximation of systems of linear forms	0
Preface	0
An alternative proof of general factor structure theorem	0
Conformally natural extensions of vector fields and applications	0
SYZ and optimal transport stability of Weyl polytopes	0
Generalized complexity of surfaces	0