Pure and Applied Mathematics Quarterly

Article	Citations
On the generalized shuffle-exchange problem	33
Quasi-random graphs of given density and Ramsey numbers	27
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	24
The algebraic part of motivic cohomology	11
The genericity theorem for the essential dimension of tame stacks	8
Optimization results for sphere maps	7
Moufang patterns and geometry of information	6
On $p$-integrality of instanton numbers	5
Analytic and rational sections of relative semi-abelian varieties	5
Ricci-flat $5$-regular graphs	5
On modular categories $\mathcal{O}$ for quantized symplectic resolutions	5
Singular metrics and a conjecture by Campana and Peternell	4
Factorization algebras and abelian CS/WZW-type correspondences	4
On characteristic elements modulo $p$ in non-commutative Iwasawa theory	4
Compactness of Kähler–Ricci solitons on Fano manifolds	4
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	4
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers	4
Which Hessenberg varieties are GKM?	4
An explicit bound for complements on toric varieties	4
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	4
Quantization of Hitchin integrable system via positive characteristic	4
Twisting pure spinor superfields, with applications to supergravity	4
Toricity in families of Fano varieties	4
A note on the topology of Minkowski sums and complete intersections	3
Any oriented non-closed connected $4$-manifold can be spread holomorphically over the complex projective plane minus a point	3

A bi-variant algebraic cobordism via correspondences	3
Hilbert reciprocity using $K$-theory localization	3
Non-density of stable mappings on non-compact manifolds	3
Covering complexity, scalar curvature, and quantitative $K$-theory	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
The road to GGP	3
Disjointness of Möbius from asymptotically periodic functions	3
On a complex analytic Gross-Zagier formula for Stark-Heegner points over genus fields of real quadratic fields and applications	2
Revisiting the Bel–Robinson tensor	2
Working with Don	2
Maximal Mumford curves from planar graphs	2
Congruences via fibered motives	2
Uniform boundedness of semistable pure sheaves on smooth projective varieties	2
Lower bounds for Steklov eigenfunctions	2
$q$-bic hypersurfaces and their Fano schemes	2
Nash blowups of 2-generic determinantal varieties in positive characteristic	2
Iterated collapsing phenomenon on $G_2$-manifolds	2
Total Cartier index of a bounded family	2
Morphisms from a very general hypersurface	2
Classification of multiplicity free quasi-Hamiltonian manifolds	2
Degenerate complex Hessian equations on compact Hermitian manifolds	2
Relative pluripotential theory on compact Kähler manifolds	2
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	2
Fibonacci polynomials	2
On the Feynman graph integrals on elliptic curves	2
Asymptotic properties of tensor powers in symmetric tensor categories	2
Kawamata-Viehweg vanishing for toric varieties	2
Supertranslation invariance of angular momentum at null infinity in double null gauge	2
Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory	2
Effective Kohn algorithm for special domain defined by functions depending on all variables	1
Coassociative submanifolds in Joyce's generalised Kummer constructions	1
Catalan numbers and noncommutative Hilbert schemes	1
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	1
Mirror symmetry for open $r$-spin invariants	1
Stability and bifurcations of symmetric tops	1
Symplectic geometric flows	1
Dimension of the deformation space of ordinary representations in the cyclotomic limit	1
On a level set version of partial uniform ellipticity and applications to a Krylov type equation	1
Characterizing Jacobians of algebraic curves with involution	1
On the computation of character values for finite Chevalley groups of exceptional type	1
Basic estimates for the generalized $\partial$-complex	1
Deformations of Fano manifolds with weighted solitons	1
Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids	1
Mukai duality on adiabatic coassociative fibrations	1
Holomorphic 1-forms on some coverings of the moduli space of curves	1
Differential of a period mapping at a singularity	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1
The Hitchin morphism for certain surfaces fibered over a curve	1
Genericity on submanifolds and application to universal hitting time statistics	1
More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups	1

On the projective structures on Riemann surfaces	1
Quantum complexity of permutations	1
Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces	1
On the non-existence of trapped surfaces under low-regularity bounds	1
Planar diagrammatics of self-adjoint functors and recognizable tree series	1
The weight two compactly supported Euler characteristic of moduli spaces of curves	1
Singular Turán numbers of stars	1
Special issue in memory of Jean-Pierre Demailly	1
Monotone quantities of $p$-harmonic functions and their applications	1
Dimensional reduction of B-fields in F-theory	1
Kerr stability for small angular momentum	1
The logarithmic Minkowski problem in $R^2$	1
Moment polytopes on Sasaki manifolds and volume minimization	1
On normal Seshadri stratifications	1
The number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
Abstract noncommutative Fourier series on $\Gamma \setminus SE(2)$	1
L-function genera and applications	1
Global behavior at infinity of period mappings defined on algebraic surface	1
Stability of Minkowski spacetime in exterior regions	1
Moduli of generalized syzygy bundles	1
On Calabi–Yau fractional complete intersections	1
Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space	1
The Birch-Swinnerton-Dyer exact formula for quadratic twists of elliptic curves	1
A general framework and examples of the analytic Langlands correspondence	1
Localization and standard modules for real semisimple Lie groups II: irreducibility and classification	1
Residual finiteness for central extensions of lattices in $\operatorname{PU}(n,1)$ and negatively curved projective varieties	1
The Strominger system in the square of a Kähler class	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
Kähler structures for holomorphic submersions	1
Toward the classification of threefold extremal contractions with one-dimensional fibers	1
Symmetry algebras of polynomial models in complex dimension three	1
The $\partial$-operator and real holomorphic vector fields	1
On tidal energy in Newtonian two-body motion with infinite initial separation	1
Twisted functoriality in nonabelian Hodge theory in positive characteristic	1
Generalizing the Mukai Conjecture to the symplectic category and the Kostant game	1
Flows of $\text{G}_2$-structures, II: curvature, torsion, symbols, and functionals	1
Actions of finite group schemes on curves	1
Error estimate for the approximate solution to multivariate feedback particle filter	1
The based rings of two-sided cells in an Affine Weyl group of type $\tilde{B}_3$, II	1
Equivariant spaces of matrices of constant rank	1
Affine Deligne-Lusztig varieties associated with generic Newton points	0
On the vanishing of adjoint Bloch–Kato Selmer groups of irreducible automorphic Galois representations	0
Twisted composition algebras and Arthur packets for triality $\operatorname{Spin}_8$	0
Néron models, minimal models, and birational group actions	0
On module categories related to $Sp(N-1) \subset Sl(N)$	0
On Treibich-Verdier curves	0
SYZ and optimal transport stability of Weyl polytopes	0
Character sheaves for symmetric pairs: spin groups	0
Bubbling of Kähler-Einstein metrics	0
Rationality of adjoint orbits	0
Spectral measures for $Sp(2)$	0
Interplay between nonlinear potential theory and fully nonlinear elliptic PDEs	0
Solution of two-dimensional optimal control problem using Legendre Block-Pulse polynomial basis	0
Cycle classes on abelian varieties and the geometry of the Abel-Jacobi map	0
The twisted $G_2$ equation for strong $G_2$-structures with torsion	0
Semi-global controllability of a geometric wave equation	0
A Lie–Rinehart algebra in general relativity	0
Hodge numbers of arbitrary sections from linear sections	0
An analogue of Kida's formula in graph theory	0
Almost invariant subspaces and operators	0
Eigenvalue sum estimates for lattice subgraphs	0
Classical and Quantum mechanics on 3D contact manifolds	0
Theta characteristics and noncongruence modular forms	0
Gaiotto conjecture for $\operatorname{Rep}_q(\operatorname{GL}(N-1 \mid N))$	0
On three homework problems from Vaughan Jones	0
Bergman bundles and applications to the geometry of compact complex manifolds	0
Galois cohomology of elliptic curves over anticyclotomic extensions	0
Multiplicity free $U(2)$-actions and triangles	0
Direct proof of termination of the Kohn algorithm in the real-analytic case	0
Quotients of Jacobians	0
Essential dimension of isogenies	0
On Chern classes of Lagrangian fibered hyper-Kähler manifolds	0
$J^{\mathcal{F}}$-class weighted composition operators	0
Standard conjectures and height pairings	0
$3$-reconstructibility of rooted trees	0
Hyperbolic domains in real Euclidean spaces	0
General base change for relative Du Bois complexes	0
Some inequalities for the dual $p$-quermassintegrals	0
Real quadratic Borcherds products	0

Spectral extremal results on the $\alpha$-index of graphs without minors and star forests	0
The exponential map of the complexification of the group of analytic Hamiltonian diffeomorphisms	0
Distribution of values of Gaussian hypergeometric functions	0
Radiation and Asymptotics for Spacetimes with Non-Isotropic Mass	0
Shafarevich mappings and period mappings	0
The sharp Gevrey Kotake–Narasimhan theorem with an elementary proof	0
Positive scalar curvature on manifolds with boundary and their doubles	0
Analytic and Reidemeister torsions of digraphs and path complexes	0
Sup-norm estimates for $\overline{\partial}$	0
Hodge classes on the moduli space of $W(E_6)$-covers and the geometry of $\mathcal{A}_6$	0
Dynamics of Cayley forms	0
Entropy of Bergman measures of a toric Kaehler manifold	0
Positivity of $\imath$canonical bases of type AIII/AIV	0
$p$-symplectic and $p$-pluriclosed structures on solvmanifolds	0
On the Drinfeld coproduct	0
Span of restriction of Hilbert theta functions	0
Stable pairs of 2-dimensional sheaves on 4-folds	0
Hilbert schemes of points on surfaces and multiple $q$-zeta values	0
$\mathbb{P}^1$-fibrations in F-theory and string dualities	0
Twisted Milnor hypersurfaces	0
A few remarks on effectivity and good minimal models	0
The Fourier–Mukai transform made easy	0
Lines, conics, and all that	0
Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds	0
Semiregularity maps and deformations of modules over Lie algebroids	0
David Kazhdan	0
On the dimension of Dolbeault harmonic $(1,1)$-forms on almost Hermitian $4$-manifolds	0
On the paving size of a subfactor	0
A spinorial Hopf differential for associative submanifolds	0
Bergman–Calabi diastasis and Kähler metric of constant holomorphic sectional curvature	0
Conformally natural extensions of vector fields and applications	0
Preface	0
Initial data on big bang singularities in symmetric settings	0
Vanishing theorem of Kohn–Rossi cohomology class and rigidity of Sasakian space form	0
A connection between the Milnor K2 group and the Shafarevich-Tate group	0
Even sets of nodes and Gauss genus theory	0
A fully-nonlinear flow and quermassintegral inequalities in the sphere	0
Electrotechnics, quantum modularity and CFT	0
An alternative proof of general factor structure theorem	0
Seismic imaging with generalized Radon transforms: stability of the Bolker condition	0
Closed-string mirror symmetry for log Calabi-Yau surfaces	0
Null Penrose inequality in a perturbed Schwarzschild spacetime	0
Holomorphic mappings between hyperquadrics with positive signature	0
On the virtual invariants of zero entropy groups of compact Kahler manifolds	0
The nilpotent quotients of normal quasi-projective varieties with proper quasi-Albanese map	0
The generality of closed $\mathrm{G}_2$ solitons	0
Higher dimensional birational geometry and the work of James Mckernan	0
Remarks on the ABG induction theorem	0
Noncommutative geometry of computational models and uniformization for framed quiver varieties	0
Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of $C^2$	0
The descendant colored Jones polynomials	0
Kazdan-Warner identities for $Q$- and $Q^{\prime}$-curvatures on three-dimensional CR manifolds	0
Dedekind sums via Atiyah–Bott–Lefschetz	0
On squares of Hecke eigenforms	0
A proof of van der Waerden’s Conjecture on random Galois groups of polynomials	0
Horn conditions for quiver subrepresentations and the moment map	0
Special cycles for Shtukas are closed	0
Masses at null infinity for Einstein's equations in harmonic coordinates	0
Du Bois property of log centers	0
Künneth formulas for path homology	0
A note on the primitive cohomology lattice of a projective surface	0
Sums of CR and projective dual CR functions	0
Sobolev estimates and duality for $\overline{\partial}$ on domains in $\mathbb{CP}^n$	0
Categorical Diagonalization and $p$-cells	0
A generalized non-vanishing theorem on surfaces	0
On K-stability, height bounds and the Manin-Peyre conjecture	0
Foreword	0
Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory	0
Subregular nilpotent orbits and explicit character formulas for modules over affine Lie algebras	0
Milnor fibre homology complexes	0
On the Kähler–Ricci flow on Fano manifolds	0
Pure braid group actions on category $\mathcal{O}$ modules	0
Internal symmetry of the $L_{\leqslant 3}$ algebra arising from a Lie pair	0
A remark on calibrations and Lie groups	0
Bergman kernels for Paley–Wiener spaces and Nazarov’s proof of the Bourgain–Milman theorem	0
Curvature in the balance: the Weyl functional and scalar curvature of $4$-manifolds	0
$RO(C_2)$-graded equivariant cohomology and classical Steenrod squares	0
Sum expressions for $p$-adic Hecke $L$-functions of totally real fields	0
Kohn–Rossi cohomology and the complex Plateau problem	0
The mathematical work of H. Blaine Lawson, Jr.	0
$H^{\frac{11}{4}}(\mathbb{R}^2)$ Ill-Posedness for 2D Elastic Wave System	0
The algebra of derivations of quasi-modular forms from mirror symmetry	0
Spin Calogero-Moser periodic chains and two dimensional Yang-Mills theory with corners	0
Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes	0
Quasi-coherent sheaves on complex analytic spaces	0
Indefinite theta series: the case of an $N$-gon	0
PBW bases for modified quantum groups	0
Ext vanishing over Gorenstein quasi-deformations of high codimension	0
Remark on the nonlinear stability of Minkowski spacetime: a rigidity theorem	0
Brief introduction to the nonlinear stability of Kerr	0
Topological quantum mechanics on orbifolds and orbifold index	0
Topological aspects of Boolean functions	0
Weighted uniform Diophantine approximation of systems of linear forms	0
Equivariant geometry of odd-dimensional complete intersections of two quadrics	0
Moishezon morphisms	0