Pure and Applied Mathematics Quarterly

Article	Citations
The algebraic part of motivic cohomology	44
Moufang patterns and geometry of information	35
On $p$-integrality of instanton numbers	18
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	13
Singular metrics and a conjecture by Campana and Peternell	11
On modular categories $\mathcal{O}$ for quantized symplectic resolutions	11
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	8
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers	6
Quantization of Hitchin integrable system via positive characteristic	6
On characteristic elements modulo $p$ in non-commutative Iwasawa theory	5
Twisting pure spinor superfields, with applications to supergravity	5
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	5
Which Hessenberg varieties are GKM?	4
A bi-variant algebraic cobordism via correspondences	4
Toricity in families of Fano varieties	4
A note on the topology of Minkowski sums and complete intersections	4
Hilbert reciprocity using $K$-theory localization	4
An explicit bound for complements on toric varieties	4
Non-density of stable mappings on non-compact manifolds	4
Morphisms from a very general hypersurface	3
Supertranslation invariance of angular momentum at null infinity in double null gauge	3
On the Feynman graph integrals on elliptic curves	3
Maximal Mumford curves from planar graphs	3
Any oriented non-closed connected $4$-manifold can be spread holomorphically over the complex projective plane minus a point	3
Covering complexity, scalar curvature, and quantitative $K$-theory	3

Classification of multiplicity free quasi-Hamiltonian manifolds	3
Total Cartier index of a bounded family	3
Uniform boundedness of semistable pure sheaves on smooth projective varieties	3
Kawamata-Viehweg vanishing for toric varieties	3
Congruences via fibered motives	3
Asymptotic properties of tensor powers in symmetric tensor categories	3
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	2
On a complex analytic Gross-Zagier formula for Stark-Heegner points over genus fields of real quadratic fields and applications	2
Stability and bifurcations of symmetric tops	2
Planar diagrammatics of self-adjoint functors and recognizable tree series	2
Coassociative submanifolds in Joyce's generalised Kummer constructions	2
Fibonacci polynomials	2
Relative pluripotential theory on compact Kähler manifolds	2
Working with Don	2
Lower bounds for Steklov eigenfunctions	2
Revisiting the Bel–Robinson tensor	2
The Birch-Swinnerton-Dyer exact formula for quadratic twists of elliptic curves	2
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	2
On the projective structures on Riemann surfaces	2
Nash blowups of 2-generic determinantal varieties in positive characteristic	2
Degenerate complex Hessian equations on compact Hermitian manifolds	2
$q$-bic hypersurfaces and their Fano schemes	2
Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory	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
Stability of Minkowski spacetime in exterior regions	2
Mass-like invariants for asymptotically hyperbolic metrics. Part 1: classification	2
Logarithmic resolution of singularities in characteristic 0 using weighted blow-ups	2
The weight two compactly supported Euler characteristic of moduli spaces of curves	1
Effective Kohn algorithm for special domain defined by functions depending on all variables	1
Flows of $\text{G}_2$-structures, II: curvature, torsion, symbols, and functionals	1
Actions of finite group schemes on curves	1
Mukai duality on adiabatic coassociative fibrations	1
Holomorphic 1-forms on some coverings of the moduli space of curves	1
Deformations of Fano manifolds with weighted solitons	1
Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space	1
Monotone quantities of $p$-harmonic functions and their applications	1
Boundary differentiability of Douady-Earle extensions of diffeomorphisms of $S^n$	1
Kähler structures for holomorphic submersions	1
Characterizing Jacobians of algebraic curves with involution	1
Tropical curves of unibranch points and hypertangency	1
Toward the classification of threefold extremal contractions with one-dimensional fibers	1
On a level set version of partial uniform ellipticity and applications to a Krylov type equation	1
Mld versus lct near zero	1
The logarithmic Minkowski problem in $R^2$	1
Symplectic geometric flows	1
Moment polytopes on Sasaki manifolds and volume minimization	1
Hilbert schemes of points on surfaces and multiple $q$-zeta values	1
Composite media, almost touching disks and the maximum principle	1
The based rings of two-sided cells in an Affine Weyl group of type $\tilde{B}_3$, II	1

Global behavior at infinity of period mappings defined on algebraic surface	1
Moduli of generalized syzygy bundles	1
Quantum complexity of permutations	1
On the non-existence of trapped surfaces under low-regularity bounds	1
Special issue in memory of Jean-Pierre Demailly	1
The Strominger system in the square of a Kähler class	1
L-function genera and applications	1
Genericity on submanifolds and application to universal hitting time statistics	1
Equivariant spaces of matrices of constant rank	1
On Sun-Zhang's theory of Fano fibrations: weighted volumes, moduli and bubbling Fano fibrations	1
On normal Seshadri stratifications	1
Mirror symmetry for open $r$-spin invariants	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
Twisted functoriality in nonabelian Hodge theory in positive characteristic	1
On tidal energy in Newtonian two-body motion with infinite initial separation	1
The Hitchin morphism for certain surfaces fibered over a curve	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1
Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids	1
Dimension of the deformation space of ordinary representations in the cyclotomic limit	1
Catalan numbers and noncommutative Hilbert schemes	1
A general framework and examples of the analytic Langlands correspondence	1
Kerr stability for small angular momentum	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
On the computation of character values for finite Chevalley groups of exceptional type	1
Adler–Oevel-Ragnisco type operators and Poisson vertex algebras	0
Gaiotto conjecture for $\operatorname{Rep}_q(\operatorname{GL}(N-1 \mid N))$	0
Galois cohomology of elliptic curves over anticyclotomic extensions	0
Hodge adjacency conditions for singularities	0
Dynamics of Cayley forms	0
Foreword	0
Seismic imaging with generalized Radon transforms: stability of the Bolker condition	0
Du Bois property of log centers	0
Logarithm laws for the BCZ map	0
Almost invariant subspaces and operators	0
On $p$-Jordan constant of Cremona group of rank 2 in odd characteristic	0
A few remarks on effectivity and good minimal models	0
A binary operation on irreducible components of Lusztig's nilpotent varieties I: definition and properties	0
Calabi-Yau threefolds with boundary	0
PBW bases for modified quantum groups	0
Semi-global controllability of a geometric wave equation	0
Note on holomorphic Morse inequality tensoring with a coherent sheaf	0
On squares of Hecke eigenforms	0
Some inequalities for the dual $p$-quermassintegrals	0
Positive scalar curvature on manifolds with boundary and their doubles	0
Spin Calogero-Moser periodic chains and two dimensional Yang-Mills theory with corners	0
On special generic maps of rational homology spheres into Euclidean spaces	0
On base point freeness for rank one foliations	0
A spinorial Hopf differential for associative submanifolds	0
Secondary fan, theta functions and moduli of Calabi-Yau pairs	0
On finite multiple zeta values of level two	0
Geometric quantization and quantum moment maps on coadjoint orbits and Kähler-Einstein manifolds	0
Positivity, singularities, and boundedness	0
Spectral measures for $Sp(2)$	0
Unitary matrix models, free fermions, and the giant graviton expansion	0
Canonical bundle formula and a conjecture on certain algebraic fiber spaces by Schnell	0
The generality of closed $\mathrm{G}_2$ solitons	0
Non extendable MMPs	0
Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes	0
Rationality of adjoint orbits	0
On three homework problems from Vaughan Jones	0
David Kazhdan	0
Effective resolution of singularities	0
The nilpotent quotients of normal quasi-projective varieties with proper quasi-Albanese map	0
Categorical Diagonalization and $p$-cells	0
Digraph coverings and GLMY theory	0
Equivariant geometry of cubic threefolds with non-isolated singularities	0
Quantum Witten localization	0
A Lie–Rinehart algebra in general relativity	0
Theta characteristics and noncongruence modular forms	0
Internal symmetry of the $L_{\leqslant 3}$ algebra arising from a Lie pair	0
Multiplicity free $U(2)$-actions and triangles	0
Mukai's Program (reconstructing a K3 surface from a curve) via wall-crossing, II	0
$J^{\mathcal{F}}$-class weighted composition operators	0
Régulateurs $p$-adiques en théorie d'Iwasawa	0
Burnside rings and volume forms with logarithmic poles	0
SYZ and optimal transport stability of Weyl polytopes	0
On K-stability, height bounds and the Manin-Peyre conjecture	0
A connection between the Milnor K2 group and the Shafarevich-Tate group	0
Positivity of $\imath$canonical bases of type AIII/AIV	0
A note on the primitive cohomology lattice of a projective surface	0

Anisotropic quadratic equations in three variables	0
Semiregularity maps and deformations of modules over Lie algebroids	0
Hyperbolic domains in real Euclidean spaces	0
Bubbling of Kähler-Einstein metrics	0
Extended clutching construction for the moduli of stable curves	0
Remark on the nonlinear stability of Minkowski spacetime: a rigidity theorem	0
Radiation and Asymptotics for Spacetimes with Non-Isotropic Mass	0
A note on continuous entropy	0
Introduction	0
Preface	0
On Chern classes of Lagrangian fibered hyper-Kähler manifolds	0
On the Birch-Swinnerton-Dyer conjecture for rational elliptic curves with complex multiplication and analytic rank one	0
A formula of Perrin-Riou and characteristic power series of signed Selmer groups	0
Introduction	0
$H^{\frac{11}{4}}(\mathbb{R}^2)$ Ill-Posedness for 2D Elastic Wave System	0
On the virtual invariants of zero entropy groups of compact Kahler manifolds	0
Classical and Quantum mechanics on 3D contact manifolds	0
Graded extensions of generalized Haagerup categories	0
Topological aspects of Boolean functions	0
Distribution of values of Gaussian hypergeometric functions	0
Cycle classes on abelian varieties and the geometry of the Abel-Jacobi map	0
Covariant guiding laws for fields	0
$p$-symplectic and $p$-pluriclosed structures on solvmanifolds	0
Connection heat kernel on connection lattices and connection discrete torus	0
Equivariant Chern character operators and Okounkov's conjecture	0
Quotients of Jacobians	0
On Treibich-Verdier curves	0
An improved Yau-Yau algorithm for high dimensional nonlinear filtering problems	0
Calogero-Moser spaces vs unipotent representations	0
Masses at null infinity for Einstein's equations in harmonic coordinates	0
Simple smooth modules over the superconformal current algebra	0
Sum expressions for $p$-adic Hecke $L$-functions of totally real fields	0
$RO(C_2)$-graded equivariant cohomology and classical Steenrod squares	0
A basis for the cohomology of compact models of toric arrangements	0
General base change for relative Du Bois complexes	0
Generalizing the Mukai Conjecture to the symplectic category and the Kostant game	0
Indefinite theta series: the case of an $N$-gon	0
Quasi-coherent sheaves on complex analytic spaces	0
A lifelong journey through Mathematics	0
Character sheaves for symmetric pairs: spin groups	0
Electrotechnics, quantum modularity and CFT	0
The twisted $G_2$ equation for strong $G_2$-structures with torsion	0
Dedekind sums via Atiyah–Bott–Lefschetz	0
Limits of $L^p$-structures on pluricanonical systems	0
Span of restriction of Hilbert theta functions	0
Curvature in the balance: the Weyl functional and scalar curvature of $4$-manifolds	0
A proof of van der Waerden’s Conjecture on random Galois groups of polynomials	0
On the Drinfeld coproduct	0
The descendant colored Jones polynomials	0
The mathematical work of H. Blaine Lawson, Jr.	0
On module categories related to $Sp(N-1) \subset Sl(N)$	0
Stabilization on ideal class groups in potential cyclic towers	0
Milnor fibre homology complexes	0
Subregular nilpotent orbits and explicit character formulas for modules over affine Lie algebras	0
Stable pairs of 2-dimensional sheaves on 4-folds	0
Direct images of pseudoeffective cotangent bundles	0
Functorial resolution by torus actions	0
Noncommutative geometry of computational models and uniformization for framed quiver varieties	0
Essential dimension of isogenies	0
Derivation of the half-wave maps equation from Calogero–Moser spin systems	0
Pure braid group actions on category $\mathcal{O}$ modules	0
On the paving size of a subfactor	0
An analogue of Kida's formula in graph theory	0
Hodge numbers of arbitrary sections from linear sections	0
Cartan-Khaneja-Glaser decomposition of $SU(2^n)$ via involutive automorphisms	0
Higher dimensional birational geometry and the work of James McKernan	0
Reducibility and nonlinear stability for a quasi-periodically forced NLS	0
Brief introduction to the nonlinear stability of Kerr	0
Singular Lie filtrations and weightings	0
Shafarevich mappings and period mappings	0
Continuity of functions in complex Sobolev spaces	0
Néron models, minimal models, and birational group actions	0
Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory	0
The semi-infinite cohomology of Weyl modules with two singular points	0
Null Penrose inequality in a perturbed Schwarzschild spacetime	0
Distribution of points on the real line under a class of repulsive potentials	0
Metrics on twisted pluricanonical bundles and finite generation of twisted canonical rings	0
Künneth formulas for path homology	0
A remark on calibrations and Lie groups	0
Affine Deligne-Lusztig varieties associated with generic Newton points	0
An analog of theta-lifting for a curve over dual numbers over a finite field	0
Closed-string mirror symmetry for log Calabi-Yau surfaces	0
The number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits	0
Topological quantum mechanics on orbifolds and orbifold index	0
Remarks on the ABG induction theorem	0
Functional equations of polygonal type for multiple polylogarithms in weights $5$, $6$ and $7$	0
Initial data on big bang singularities in symmetric settings	0
Horn conditions for quiver subrepresentations and the moment map	0
Variants of VC dimension and their applications to dynamics	0
Ext vanishing over Gorenstein quasi-deformations of high codimension	0
On the $\mu$ equals zero conjecture for fine Selmer groups in Iwasawa theory	0
Interplay between nonlinear potential theory and fully nonlinear elliptic PDEs	0
Kazdan-Warner identities for $Q$- and $Q^{\prime}$-curvatures on three-dimensional CR manifolds	0
Generalized complexity of surfaces	0
A generalized non-vanishing theorem on surfaces	0