Pure and Applied Mathematics Quarterly

Article	Citations
Unitary matrix models, free fermions, and the giant graviton expansion	25
A class of curvature type equation	23
A fully-nonlinear flow and quermassintegral inequalities in the sphere	20
Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles	10
Kerr stability for small angular momentum	10
Localizations for quiver Hecke algebras	7
Products of random matrices: a dynamical point of view	7
On Shimura varieties for unitary groups	6
The Tanaka–Thomas’s Vafa–Witten invariants via surface Deligne–Mumford stacks	5
Twisted Kähler–Einstein metrics	5
On the dimension of Dolbeault harmonic $(1,1)$-forms on almost Hermitian $4$-manifolds	5
Weak geodesics for the deformed Hermitian–Yang–Mills equation	4
On the Levi problem on Kähler manifolds under the negativity of canonical bundles on the boundary	4
Relations in the tautological ring of the moduli space of curves	4
Associated varieties for real reductive groups	3
Sobolev estimates and duality for $\overline{\partial}$ on domains in $\mathbb{CP}^n$	3
Concave elliptic equations and generalized Khovanskii–Teissier inequalities	3
Distribution of values of Gaussian hypergeometric functions	3
Standard conjectures and height pairings	3
A Lie–Rinehart algebra in general relativity	3
Compactness of Kähler–Ricci solitons on Fano manifolds	3
The exponential map of the complexification of the group of analytic Hamiltonian diffeomorphisms	3
Irregular Eguchi–Hanson type metrics and their soliton analogues	3
Rational representation of real functions	3
The complex Monge–Ampère equation with a gradient term	3

Cartan–Iwahori–Matsumoto decompositions for reductive groups	2
Bergman kernels for Paley–Wiener spaces and Nazarov’s proof of the Bourgain–Milman theorem	2
Discrete Morse theory on digraphs	2
Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids	2
Twisted composition algebras and Arthur packets for triality $\operatorname{Spin}_8$	2
On the sum of Ricci-curvatures for weighted graphs	2
Pluripotential solutions versus viscosity solutions to complex Monge–Ampère flows	2
Congruences via fibered motives	2
Some inequalities for the dual $p$-quermassintegrals	2
A note on continuous entropy	2
A diffeomorphism-invariant metric on the space of vector-valued one-forms	2
Graded tilting for gauged Landau–Ginzburg models and geometric applications	2
Weighted uniform Diophantine approximation of systems of linear forms	2
Moishezon morphisms	2
Harmonic analysis on $\mathsf{GL}_n$ over finite fields	2
Residual finiteness for central extensions of lattices in $\operatorname{PU}(n,1)$ and negatively curved projective varieties	2
Generating Picard modular forms by means of invariant theory	2
Disjointness of Möbius from asymptotically periodic functions	2
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability	2
Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds	2
Stability and applications	2
Entropy rigidity for foliations by strictly convex projective manifolds	2
Noncommutative geometry of computational models and uniformization for framed quiver varieties	2
Lines, conics, and all that	2
The real Fourier–Mukai transform of Cayley cycles	2
Real quadratic Borcherds products	2
Sup-norm estimates for $\overline{\partial}$	2
A note on the Simpson correspondence for semistable Higgs bundles	1
$\mathbb{P}^1$-fibrations in F-theory and string dualities	1
Analytic and rational sections of relative semi-abelian varieties	1
Branching laws for discrete series of some affine symmetric spaces	1
The genericity theorem for the essential dimension of tame stacks	1
Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of $C^2$	1
Schubert structure operators and $K^\ast_T (G/B)$	1
On multiple cover formula for local K3 gerbes	1
Concentration inequalities in spaces of random configurations with positive Ricci curvatures	1
Basic estimates for the generalized $\partial$-complex	1
On the vanishing of adjoint Bloch–Kato Selmer groups of irreducible automorphic Galois representations	1
Holomorphic feedforward networks	1
On the Kähler–Ricci flow on Fano manifolds	1
Monotone quantities of $p$-harmonic functions and their applications	1
Singular plane sections and the conics in the Fermat quintic threefold	1
Abstract noncommutative Fourier series on $\Gamma \setminus SE(2)$	1
Stability of Minkowski spacetime in exterior regions	1
Hyperbolic domains in real Euclidean spaces	1
Areas of totally geodesic surfaces of hyperbolic $3$-orbifolds	1
Equivariant geometry of odd-dimensional complete intersections of two quadrics	1
Conformally natural extensions of vector fields and applications	1
Morse-type integrals on non-Kähler manifolds	1
Entropy of Bergman measures of a toric Kaehler manifold	1

Enumerative geometry of the mirror quintic	1
From conjugacy classes in the Weyl group to semisimple conjugacy classes	1
Dimensional reduction of B-fields in F-theory	1
Solution of two-dimensional optimal control problem using Legendre Block-Pulse polynomial basis	1
Mumford’s influence on the moduli theory of algebraic varieties	1
Span of restriction of Hilbert theta functions	1
Factorization algebras and abelian CS/WZW-type correspondences	1
Geometric vs algebraic nullity for hyperpaths	1
On Calabi–Yau fractional complete intersections	1
On finite multiple zeta values of level two	1
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	1
Planar diagrammatics of self-adjoint functors and recognizable tree series	1
Geometry of Prym varieties for certain bielliptic curves of genus three and five	1
Singularities of normal quartic surfaces II (char=2)	1
CMC foliations of open spacetimes asymptotic to open Robertson–Walker spacetimes	1
On the $\mu$ equals zero conjecture for fine Selmer groups in Iwasawa theory	1
On $p$-integrality of instanton numbers	1
The $\partial$-operator and real holomorphic vector fields	1
Pure braid group actions on category $\mathcal{O}$ modules	1
A general framework and examples of the analytic Langlands correspondence	1
Symmetry algebras of polynomial models in complex dimension three	1
The road to GGP	1
Non-density of stable mappings on non-compact manifolds	1
Bergman bundles and applications to the geometry of compact complex manifolds	1
The Fourier–Mukai transform made easy	1
Anomaly flow and T-duality	0
Dedekind sums via Atiyah–Bott–Lefschetz	0
Sum expressions for $p$-adic Hecke $L$-functions of totally real fields	0
Rationality of adjoint orbits	0
Twisted functoriality in nonabelian Hodge theory in positive characteristic	0
Milnor fibre homology complexes	0
Shafarevich mappings and period mappings	0
The logarithmic Minkowski problem in $R^2$	0
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	0
On the Euler characteristics of certain moduli spaces of $1$-dimensional closed subschemes	0
Adler–Oevel-Ragnisco type operators and Poisson vertex algebras	0
A proof of van der Waerden’s Conjecture on random Galois groups of polynomials	0
The Lagrangian density of the disjoint union of a $3$-uniform tight path and a matching and the Turán number of its extension	0
Foreword	0
The algebraic part of motivic cohomology	0
Lower bounds for Steklov eigenfunctions	0
Hodge classes on the moduli space of $W(E_6)$-covers and the geometry of $\mathcal{A}_6$	0
The descendant colored Jones polynomials	0
Stability and bifurcations of symmetric tops	0
Supertranslation invariance of angular momentum at null infinity in double null gauge	0
About commuting Sasaki structures	0
On special generic maps of rational homology spheres into Euclidean spaces	0
The sharp Gevrey Kotake–Narasimhan theorem with an elementary proof	0
Angle deformation of Kähler–Einstein edge metrics on Hirzebruch surfaces	0
Direct proof of termination of the Kohn algorithm in the real-analytic case	0
Brauer groups of involution surface bundles	0
Seismic imaging with generalized Radon transforms: stability of the Bolker condition	0
From algebraic geometry to machine learning	0
Kohn–Rossi cohomology and the complex Plateau problem	0
Iterated collapsing phenomenon on $G_2$-manifolds	0
Global behavior at infinity of period mappings defined on algebraic surface	0
Indefinite theta series: the case of an $N$-gon	0
Bergman–Calabi diastasis and Kähler metric of constant holomorphic sectional curvature	0
$RO(C_2)$-graded equivariant cohomology and classical Steenrod squares	0
An alternative proof of general factor structure theorem	0
$H^{\frac{11}{4}}(\mathbb{R}^2)$ Ill-Posedness for 2D Elastic Wave System	0
Singular Lie filtrations and weightings	0
More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups	0
Subregular nilpotent orbits and explicit character formulas for modules over affine Lie algebras	0
Hodge numbers of arbitrary sections from linear sections	0
Horn conditions for quiver subrepresentations and the moment map	0
The number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits	0
On subregular slices of the elliptic Grothendieck–Springer resolution	0
Singular Turán numbers of stars	0
Which Hessenberg varieties are GKM?	0
Positive projectively flat manifolds are locally conformally flat-Kähler Hopf manifolds	0
Even sets of nodes and Gauss genus theory	0
Revisiting the Bel–Robinson tensor	0
Asymptotic properties of tensor powers in symmetric tensor categories	0
Spin Calogero-Moser periodic chains and two dimensional Yang-Mills theory with corners	0
Gulbrandsen-Halle-Hulek degeneration and Hilbert-Chow morphism	0
Remark on the nonlinear stability of Minkowski spacetime: a rigidity theorem	0
Gauss lattices and complex continued fractions	0
Mukai duality on adiabatic coassociative fibrations	0
Twisted Milnor hypersurfaces	0

The twisted $G_2$ equation for strong $G_2$-structures with torsion	0
Brief introduction to the nonlinear stability of Kerr	0
On module categories related to $Sp(N-1) \subset Sl(N)$	0
Interplay between nonlinear potential theory and fully nonlinear elliptic PDEs	0
On the projective structures on Riemann surfaces	0
Evolution and monotonicity of a geometric constant under the Ricci flow	0
$q$-effectiveness for holomorphic subelliptic multipliers	0
Covering complexity, scalar curvature, and quantitative $K$-theory	0
Which graphs can be counted in $C_4$-free graphs?	0
Semiregularity maps and deformations of modules over Lie algebroids	0
Moduli of generalized syzygy bundles	0
The weight two compactly supported Euler characteristic of moduli spaces of curves	0
Unitary representations, $L^2$ Dolbeault cohomology, and weakly symmetric pseudo-riemannian nilmanifolds	0
Differential of a period mapping at a singularity	0
Quantum complexity of permutations	0
Metrics on twisted pluricanonical bundles and finite generation of twisted canonical rings	0
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	0
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	0
Curvature in the balance: the Weyl functional and scalar curvature of $4$-manifolds	0
A remark on calibrations and Lie groups	0
Graded extensions of generalized Haagerup categories	0
Ricci-flat $5$-regular graphs	0
Symplectic geometric flows	0
The generality of closed $\mathrm{G}_2$ solitons	0
Vanishing theorem of Kohn–Rossi cohomology class and rigidity of Sasakian space form	0
On the generalized shuffle-exchange problem	0
On three homework problems from Vaughan Jones	0
Quantitative differentiation for PI spaces and spaces with Ricci curvature bounded below	0
Positivity of Weil–Petersson currents on canonical models	0
Spectral extremal results on the $\alpha$-index of graphs without minors and star forests	0
The algebra of derivations of quasi-modular forms from mirror symmetry	0
On tidal energy in Newtonian two-body motion with infinite initial separation	0
Masses at null infinity for Einstein's equations in harmonic coordinates	0
Quasi-random graphs of given density and Ramsey numbers	0
Positive scalar curvature on manifolds with boundary and their doubles	0
On Treibich-Verdier curves	0
Künneth formulas for path homology	0
Generalizing the Mukai Conjecture to the symplectic category and the Kostant game	0
Radiation and Asymptotics for Spacetimes with Non-Isotropic Mass	0
Holomorphic mappings between hyperquadrics with positive signature	0
Classical and Quantum mechanics on 3D contact manifolds	0
Derivation of the half-wave maps equation from Calogero–Moser spin systems	0
Central limit theorem for toric Kähler manifolds	0
The mathematical work of H. Blaine Lawson, Jr.	0
Mirror symmetry for open $r$-spin invariants	0
Semi-global controllability of a geometric wave equation	0
Round handle problem	0
Covariant guiding laws for fields	0
On the non-existence of trapped surfaces under low-regularity bounds	0
Optimization results for sphere maps	0
Stable pairs of 2-dimensional sheaves on 4-folds	0
Initial data on big bang singularities in symmetric settings	0
Hilbert schemes of points on surfaces and multiple $q$-zeta values	0
The semi-infinite cohomology of Weyl modules with two singular points	0
Any oriented non-closed connected $4$-manifold can be spread holomorphically over the complex projective plane minus a point	0
Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory	0
Quotients of Jacobians	0
Ext vanishing over Gorenstein quasi-deformations of high codimension	0
Quantum Witten localization	0
Topological aspects of Boolean functions	0
A bi-variant algebraic cobordism via correspondences	0
Holomorphic 1-forms on some coverings of the moduli space of curves	0
Fibonacci polynomials	0
Cycle classes on abelian varieties and the geometry of the Abel-Jacobi map	0
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	0
Internal symmetry of the $L_{\leqslant 3}$ algebra arising from a Lie pair	0
A greedy algorithm for the connected positive influence dominating set in $k$-regular graphs	0
The geometry of generalized Lamé equation, III: One-to-one of the Riemann–Hilbert correspondence	0
Moment polytopes on Sasaki manifolds and volume minimization	0
Error estimate for the approximate solution to multivariate feedback particle filter	0
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	0
On normal Seshadri stratifications	0
Almost invariant subspaces and operators	0
Reducibility and nonlinear stability for a quasi-periodically forced NLS	0
Null Penrose inequality in a perturbed Schwarzschild spacetime	0
Classification of multiplicity free quasi-Hamiltonian manifolds	0
Twisting pure spinor superfields, with applications to supergravity	0
Special cycles for Shtukas are closed	0
$3$-reconstructibility of rooted trees	0
Deformations of Fano manifolds with weighted solitons	0
On the paving size of a subfactor	0
Moufang patterns and geometry of information	0
Electrotechnics, quantum modularity and CFT	0
Hopf–Hecke algebras, infinitesimal Cherednik algebras, and Dirac cohomology	0
A note on the topology of Minkowski sums and complete intersections	0
Coassociative submanifolds in Joyce's generalised Kummer constructions	0
Classification of the nilradical of $k$-th Yau algebras arising from singularities	0
Homological duality for covering groups of reductive $p$-adic groups	0
L-function genera and applications	0
Genericity on submanifolds and application to universal hitting time statistics	0
Actions of finite group schemes on curves	0
On squares of Hecke eigenforms	0
A method in deformation theory	0
Hilbert reciprocity using $K$-theory localization	0
Sums of CR and projective dual CR functions	0