OOIR: Observatory of International Research

Papers

(The TQCC of Pure and Applied Mathematics Quarterly is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)

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 modular categories $\mathcal{O}$ for quantized symplectic resolutions	5
On $p$-integrality of instanton numbers	5
Analytic and rational sections of relative semi-abelian varieties	5
Ricci-flat $5$-regular graphs	5
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
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
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
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
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
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
Error estimate for the approximate solution to multivariate feedback particle filter	1
Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space	1
Equivariant spaces of matrices of constant rank	1
A general framework and examples of the analytic Langlands correspondence	1
Coassociative submanifolds in Joyce's generalised Kummer constructions	1
Residual finiteness for central extensions of lattices in $\operatorname{PU}(n,1)$ and negatively curved projective varieties	1
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	1
The Strominger system in the square of a Kähler class	1
Stability and bifurcations of symmetric tops	1
Kähler structures for holomorphic submersions	1
The $\partial$-operator and real holomorphic vector fields	1
On a level set version of partial uniform ellipticity and applications to a Krylov type equation	1
Twisted functoriality in nonabelian Hodge theory in positive characteristic	1
On the computation of character values for finite Chevalley groups of exceptional type	1
Generalizing the Mukai Conjecture to the symplectic category and the Kostant game	1
Deformations of Fano manifolds with weighted solitons	1
Actions of finite group schemes on curves	1
Mukai duality on adiabatic coassociative fibrations	1
The based rings of two-sided cells in an Affine Weyl group of type $\tilde{B}_3$, II	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1
Effective Kohn algorithm for special domain defined by functions depending on all variables	1

Genericity on submanifolds and application to universal hitting time statistics	1
Catalan numbers and noncommutative Hilbert schemes	1
On the projective structures on Riemann surfaces	1
Mirror symmetry for open $r$-spin invariants	1
Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces	1
Symplectic geometric flows	1
Planar diagrammatics of self-adjoint functors and recognizable tree series	1
Dimension of the deformation space of ordinary representations in the cyclotomic limit	1
Characterizing Jacobians of algebraic curves with involution	1
Basic estimates for the generalized $\partial$-complex	1
Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids	1
Monotone quantities of $p$-harmonic functions and their applications	1
Holomorphic 1-forms on some coverings of the moduli space of curves	1
Kerr stability for small angular momentum	1
Differential of a period mapping at a singularity	1
Moment polytopes on Sasaki manifolds and volume minimization	1
The Hitchin morphism for certain surfaces fibered over a curve	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups	1
L-function genera and applications	1
Quantum complexity of permutations	1
Stability of Minkowski spacetime in exterior regions	1
On the non-existence of trapped surfaces under low-regularity bounds	1
On Calabi–Yau fractional complete intersections	1
The weight two compactly supported Euler characteristic of moduli spaces of curves	1
The Birch-Swinnerton-Dyer exact formula for quadratic twists of elliptic curves	1
Singular Turán numbers of stars	1
Localization and standard modules for real semisimple Lie groups II: irreducibility and classification	1
Special issue in memory of Jean-Pierre Demailly	1
Dimensional reduction of B-fields in F-theory	1
The logarithmic Minkowski problem in $R^2$	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
On normal Seshadri stratifications	1
Toward the classification of threefold extremal contractions with one-dimensional fibers	1
The number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits	1
Symmetry algebras of polynomial models in complex dimension three	1
Abstract noncommutative Fourier series on $\Gamma \setminus SE(2)$	1
On tidal energy in Newtonian two-body motion with infinite initial separation	1
Global behavior at infinity of period mappings defined on algebraic surface	1
Flows of $\text{G}_2$-structures, II: curvature, torsion, symbols, and functionals	1
Moduli of generalized syzygy bundles	1