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 2021-06-01 to 2025-06-01.)

Article	Citations
On modular categories $\mathcal{O}$ for quantized symplectic resolutions	30
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	25
The algebraic part of motivic cohomology	18
On the generalized shuffle-exchange problem	9
On $p$-integrality of instanton numbers	8
Ricci-flat $5$-regular graphs	5
Quasi-random graphs of given density and Ramsey numbers	5
Moufang patterns and geometry of information	4
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	4
Twisting pure spinor superfields, with applications to supergravity	4
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers	4
The genericity theorem for the essential dimension of tame stacks	4
Optimization results for sphere maps	4
Singular metrics and a conjecture by Campana and Peternell	4
Compactness of Kähler–Ricci solitons on Fano manifolds	3
Hilbert reciprocity using $K$-theory localization	3
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	3
Quantization of Hitchin integrable system via positive characteristic	3
Analytic and rational sections of relative semi-abelian varieties	3
Factorization algebras and abelian CS/WZW-type correspondences	3
On characteristic elements modulo $p$ in non-commutative Iwasawa theory	3
Congruences via fibered motives	2
Classification of multiplicity free quasi-Hamiltonian manifolds	2
The Lagrangian density of the disjoint union of a $3$-uniform tight path and a matching and the Turán number of its extension	2
The road to GGP	2

Any oriented non-closed connected $4$-manifold can be spread holomorphically over the complex projective plane minus a point	2
Kawamata-Viehweg vanishing for toric varieties	2
Asymptotic properties of tensor powers in symmetric tensor categories	2
A note on the topology of Minkowski sums and complete intersections	2
A bi-variant algebraic cobordism via correspondences	2
Disjointness of Möbius from asymptotically periodic functions	2
Supertranslation invariance of angular momentum at null infinity in double null gauge	2
Maximal Mumford curves from planar graphs	2
Covering complexity, scalar curvature, and quantitative $K$-theory	2
Non-density of stable mappings on non-compact manifolds	2
Which Hessenberg varieties are GKM?	2
Uniform boundedness of semistable pure sheaves on smooth projective varieties	2
Mirror symmetry for open $r$-spin invariants	1
On normal Seshadri stratifications	1
Revisiting the Bel–Robinson tensor	1
Mukai duality on adiabatic coassociative fibrations	1
Localization and standard modules for real semisimple Lie groups II: irreducibility and classification	1
The $\partial$-operator and real holomorphic vector fields	1
Coassociative submanifolds in Joyce's generalised Kummer constructions	1
Monotone quantities of $p$-harmonic functions and their applications	1
The logarithmic Minkowski problem in $R^2$	1
Planar diagrammatics of self-adjoint functors and recognizable tree series	1
Kerr stability for small angular momentum	1
$q$-bic hypersurfaces and their Fano schemes	1
Lower bounds for Steklov eigenfunctions	1
Relative pluripotential theory on compact Kähler manifolds	1
Fibonacci polynomials	1
Genericity on submanifolds and application to universal hitting time statistics	1
A general framework and examples of the analytic Langlands correspondence	1
Global behavior at infinity of period mappings defined on algebraic surface	1
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
On Calabi–Yau fractional complete intersections	1
On tidal energy in Newtonian two-body motion with infinite initial separation	1
Stability and bifurcations of symmetric tops	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
Symmetry algebras of polynomial models in complex dimension three	1
Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory	1
Stability of Minkowski spacetime in exterior regions	1
Nash blowups of 2-generic determinantal varieties in positive characteristic	1
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	1
Total Cartier index of a bounded family	1
On the projective structures on Riemann surfaces	1
The Strominger system in the square of a Kähler class	1
Singular Turán numbers of stars	1
Basic estimates for the generalized $\partial$-complex	1
Iterated collapsing phenomenon on $G_2$-manifolds	1
Moment polytopes on Sasaki manifolds and volume minimization	1
Error estimate for the approximate solution to multivariate feedback particle filter	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1

Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces	1
On the computation of character values for finite Chevalley groups of exceptional type	1
Deformations of Fano manifolds with weighted solitons	1
Degenerate complex Hessian equations on compact Hermitian manifolds	1
On a complex analytic Gross-Zagier formula for Stark-Heegner points over genus ﬁelds of real quadratic ﬁelds and applications	1
Working with Don	1
Equivariant spaces of matrices of constant rank	1
L-function genera and applications	1