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 2021-10-01 to 2025-10-01.)

Article	Citations
On the generalized shuffle-exchange problem	33
Quasi-random graphs of given density and Ramsey numbers	25
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	23
On modular categories $\mathcal{O}$ for quantized symplectic resolutions	10
The algebraic part of motivic cohomology	8
The genericity theorem for the essential dimension of tame stacks	7
Moufang patterns and geometry of information	5
On $p$-integrality of instanton numbers	5
Optimization results for sphere maps	5
Ricci-flat $5$-regular graphs	5
Compactness of Kähler–Ricci solitons on Fano manifolds	4
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	4
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	4
Twisting pure spinor superfields, with applications to supergravity	4
Analytic and rational sections of relative semi-abelian varieties	4
Quantization of Hitchin integrable system via positive characteristic	4
Factorization algebras and abelian CS/WZW-type correspondences	4
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers	4
Singular metrics and a conjecture by Campana and Peternell	4
An explicit bound for complements on toric varieties	4
On characteristic elements modulo $p$ in non-commutative Iwasawa theory	4
Which Hessenberg varieties are GKM?	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
Hilbert reciprocity using $K$-theory localization	3

A bi-variant algebraic cobordism via correspondences	3
Non-density of stable mappings on non-compact manifolds	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
Relative pluripotential theory on compact Kähler manifolds	2
Revisiting the Bel–Robinson tensor	2
Supertranslation invariance of angular momentum at null infinity in double null gauge	2
Congruences via fibered motives	2
Uniform boundedness of semistable pure sheaves on smooth projective varieties	2
Kawamata-Viehweg vanishing for toric varieties	2
Lower bounds for Steklov eigenfunctions	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
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
On the Feynman graph integrals on elliptic curves	2
Working with Don	2
$q$-bic hypersurfaces and their Fano schemes	2
Nash blowups of 2-generic determinantal varieties in positive characteristic	2
Degenerate complex Hessian equations on compact Hermitian manifolds	2
Asymptotic properties of tensor powers in symmetric tensor categories	2
Covering complexity, scalar curvature, and quantitative $K$-theory	2
Disjointness of Möbius from asymptotically periodic functions	2
Maximal Mumford curves from planar graphs	2
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	2
L-function genera and applications	1
Special issue in memory of Jean-Pierre Demailly	1
Toward the classification of threefold extremal contractions with one-dimensional fibers	1
The Strominger system in the square of a Kähler class	1
The logarithmic Minkowski problem in $R^2$	1
The $\partial$-operator and real holomorphic vector fields	1
Genericity on submanifolds and application to universal hitting time statistics	1
Global behavior at infinity of period mappings defined on algebraic surface	1
Planar diagrammatics of self-adjoint functors and recognizable tree series	1
On the projective structures on Riemann surfaces	1
Residual finiteness for central extensions of lattices in $\operatorname{PU}(n,1)$ and negatively curved projective varieties	1
Fibonacci polynomials	1
Error estimate for the approximate solution to multivariate feedback particle filter	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
Actions of finite group schemes on curves	1
More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups	1
Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
Characterizing Jacobians of algebraic curves with involution	1
Kerr stability for small angular momentum	1
Dimension of the deformation space of ordinary representations in the cyclotomic limit	1
Symmetry algebras of polynomial models in complex dimension three	1
Dimensional reduction of B-fields in F-theory	1

On tidal energy in Newtonian two-body motion with infinite initial separation	1
On normal Seshadri stratifications	1
The Birch-Swinnerton-Dyer exact formula for quadratic twists of elliptic curves	1
Mirror symmetry for open $r$-spin invariants	1
Localization and standard modules for real semisimple Lie groups II: irreducibility and classification	1
On Calabi–Yau fractional complete intersections	1
Symplectic geometric flows	1
Mukai duality on adiabatic coassociative fibrations	1
Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces	1
Quantum complexity of permutations	1
Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space	1
Moduli of generalized syzygy bundles	1
Moment polytopes on Sasaki manifolds and volume minimization	1
On a level set version of partial uniform ellipticity and applications to a Krylov type equation	1
Kähler structures for holomorphic submersions	1
Deformations of Fano manifolds with weighted solitons	1
On the non-existence of trapped surfaces under low-regularity bounds	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1
Basic estimates for the generalized $\partial$-complex	1
Monotone quantities of $p$-harmonic functions and their applications	1
Singular Turán numbers of stars	1
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	1
Equivariant spaces of matrices of constant rank	1
The weight two compactly supported Euler characteristic of moduli spaces of curves	1
Stability and bifurcations of symmetric tops	1
Coassociative submanifolds in Joyce's generalised Kummer constructions	1
A general framework and examples of the analytic Langlands correspondence	1
Stability of Minkowski spacetime in exterior regions	1
Flows of $\text{G}_2$-structures, II: curvature, torsion, symbols, and functionals	1
The based rings of two-sided cells in an Affine Weyl group of type $\tilde{B}_3$, II	1
Effective Kohn algorithm for special domain defined by functions depending on all variables	1
On the computation of character values for finite Chevalley groups of exceptional type	1
Catalan numbers and noncommutative Hilbert schemes	1