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 2022-05-01 to 2026-05-01.)

Article	Citations
The algebraic part of motivic cohomology	39
Moufang patterns and geometry of information	31
On modular categories $\mathcal{O}$ for quantized symplectic resolutions	14
On $p$-integrality of instanton numbers	11
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	9
Singular metrics and a conjecture by Campana and Peternell	8
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	6
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers	5
Twisting pure spinor superfields, with applications to supergravity	4
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	4
A note on the topology of Minkowski sums and complete intersections	4
On characteristic elements modulo $p$ in non-commutative Iwasawa theory	4
Non-density of stable mappings on non-compact manifolds	4
Quantization of Hitchin integrable system via positive characteristic	4
Hilbert reciprocity using $K$-theory localization	4
A bi-variant algebraic cobordism via correspondences	4
An explicit bound for complements on toric varieties	3
Toricity in families of Fano varieties	3
Kawamata-Viehweg vanishing for toric varieties	3
Any oriented non-closed connected $4$-manifold can be spread holomorphically over the complex projective plane minus a point	3
Morphisms from a very general hypersurface	3
Uniform boundedness of semistable pure sheaves on smooth projective varieties	3
Which Hessenberg varieties are GKM?	3
Classification of multiplicity free quasi-Hamiltonian manifolds	3
Covering complexity, scalar curvature, and quantitative $K$-theory	3

Planar diagrammatics of self-adjoint functors and recognizable tree series	2
Working with Don	2
Congruences via fibered motives	2
Supertranslation invariance of angular momentum at null infinity in double null gauge	2
Degenerate complex Hessian equations on compact Hermitian 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
Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces	2
Nash blowups of 2-generic determinantal varieties in positive characteristic	2
Lower bounds for Steklov eigenfunctions	2
On the Feynman graph integrals on elliptic curves	2
Relative pluripotential theory on compact Kähler manifolds	2
Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory	2
Revisiting the Bel–Robinson tensor	2
Localization and standard modules for real semisimple Lie groups II: irreducibility and classification	2
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	2
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	2
Asymptotic properties of tensor powers in symmetric tensor categories	2
Maximal Mumford curves from planar graphs	2
Total Cartier index of a bounded family	2
$q$-bic hypersurfaces and their Fano schemes	2
Fibonacci polynomials	2
The Birch-Swinnerton-Dyer exact formula for quadratic twists of elliptic curves	2
Characterizing Jacobians of algebraic curves with involution	1
Toward the classification of threefold extremal contractions with one-dimensional fibers	1
A general framework and examples of the analytic Langlands correspondence	1
Deformations of Fano manifolds with weighted solitons	1
On Sun-Zhang's theory of Fano fibrations: weighted volumes, moduli and bubbling Fano fibrations	1
L-function genera and applications	1
On normal Seshadri stratifications	1
Equivariant spaces of matrices of constant rank	1
Monotone quantities of $p$-harmonic functions and their applications	1
On the projective structures on Riemann surfaces	1
On a level set version of partial uniform ellipticity and applications to a Krylov type equation	1
Global behavior at infinity of period mappings defined on algebraic surface	1
Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space	1
Kähler structures for holomorphic submersions	1
Special issue in memory of Jean-Pierre Demailly	1
The logarithmic Minkowski problem in $R^2$	1
The Strominger system in the square of a Kähler class	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
On tidal energy in Newtonian two-body motion with infinite initial separation	1
The weight two compactly supported Euler characteristic of moduli spaces of curves	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1
Dimension of the deformation space of ordinary representations in the cyclotomic limit	1
On the computation of character values for finite Chevalley groups of exceptional type	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
Coassociative submanifolds in Joyce's generalised Kummer constructions	1
Composite media, almost touching disks and the maximum principle	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
Catalan numbers and noncommutative Hilbert schemes	1
Effective Kohn algorithm for special domain defined by functions depending on all variables	1
Kerr stability for small angular momentum	1
Symplectic geometric flows	1
Mukai duality on adiabatic coassociative fibrations	1
Mirror symmetry for open $r$-spin invariants	1
Genericity on submanifolds and application to universal hitting time statistics	1
Mld versus lct near zero	1
Stability of Minkowski spacetime in exterior regions	1
Moment polytopes on Sasaki manifolds and volume minimization	1
On the non-existence of trapped surfaces under low-regularity bounds	1
Moduli of generalized syzygy bundles	1
Quantum complexity of permutations	1