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 2022-06-01 to 2026-06-01.)

Article	Citations
The algebraic part of motivic cohomology	40
Moufang patterns and geometry of information	32
On $p$-integrality of instanton numbers	15
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	11
Singular metrics and a conjecture by Campana and Peternell	10
On modular categories $\mathcal{O}$ for quantized symplectic resolutions	10
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers	6
Quantization of Hitchin integrable system via positive characteristic	6
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	6
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	5
A note on the topology of Minkowski sums and complete intersections	4
An explicit bound for complements on toric varieties	4
On characteristic elements modulo $p$ in non-commutative Iwasawa theory	4
Twisting pure spinor superfields, with applications to supergravity	4
Non-density of stable mappings on non-compact manifolds	4
Hilbert reciprocity using $K$-theory localization	4
A bi-variant algebraic cobordism via correspondences	4
Any oriented non-closed connected $4$-manifold can be spread holomorphically over the complex projective plane minus a point	3
Covering complexity, scalar curvature, and quantitative $K$-theory	3
Supertranslation invariance of angular momentum at null infinity in double null gauge	3
Classification of multiplicity free quasi-Hamiltonian manifolds	3
Toricity in families of Fano varieties	3
Maximal Mumford curves from planar graphs	3
Which Hessenberg varieties are GKM?	3
Uniform boundedness of semistable pure sheaves on smooth projective varieties	3

Morphisms from a very general hypersurface	3
Kawamata-Viehweg vanishing for toric varieties	3
Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory	2
On the Feynman graph integrals on elliptic curves	2
Degenerate complex Hessian equations on compact Hermitian manifolds	2
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	2
Revisiting the Bel–Robinson tensor	2
The Birch-Swinnerton-Dyer exact formula for quadratic twists of elliptic curves	2
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	2
Working with Don	2
Total Cartier index of a bounded family	2
Asymptotic properties of tensor powers in symmetric tensor categories	2
$q$-bic hypersurfaces and their Fano schemes	2
Fibonacci polynomials	2
Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces	2
On a complex analytic Gross-Zagier formula for Stark-Heegner points over genus ﬁelds of real quadratic ﬁelds and applications	2
Relative pluripotential theory on compact Kähler manifolds	2
Lower bounds for Steklov eigenfunctions	2
Congruences via fibered motives	2
Nash blowups of 2-generic determinantal varieties in positive characteristic	2
Logarithmic resolution of singularities in characteristic 0 using weighted blow-ups	2
Stability and bifurcations of symmetric tops	2
Planar diagrammatics of self-adjoint functors and recognizable tree series	2
Genericity on submanifolds and application to universal hitting time statistics	1
On the projective structures on Riemann surfaces	1
Moment polytopes on Sasaki manifolds and volume minimization	1
Dimension of the deformation space of ordinary representations in the cyclotomic limit	1
Boundary differentiability of Douady-Earle extensions of diffeomorphisms of $S^n$	1
Moduli of generalized syzygy bundles	1
Kerr stability for small angular momentum	1
Quantum complexity of permutations	1
Deformations of Fano manifolds with weighted solitons	1
Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids	1
Mirror symmetry for open $r$-spin invariants	1
Composite media, almost touching disks and the maximum principle	1
Symplectic geometric flows	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
Catalan numbers and noncommutative Hilbert schemes	1
Toward the classification of threefold extremal contractions with one-dimensional fibers	1
Monotone quantities of $p$-harmonic functions and their applications	1
Coassociative submanifolds in Joyce's generalised Kummer constructions	1
The logarithmic Minkowski problem in $R^2$	1
On normal Seshadri stratifications	1
The based rings of two-sided cells in an Affine Weyl group of type $\tilde{B}_3$, II	1
Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space	1
Mld versus lct near zero	1
Kähler structures for holomorphic submersions	1
Characterizing Jacobians of algebraic curves with involution	1
A general framework and examples of the analytic Langlands correspondence	1
On the computation of character values for finite Chevalley groups of exceptional type	1

On Sun-Zhang's theory of Fano fibrations: weighted volumes, moduli and bubbling Fano fibrations	1
On a level set version of partial uniform ellipticity and applications to a Krylov type equation	1
L-function genera and applications	1
Stability of Minkowski spacetime in exterior regions	1
Localization and standard modules for real semisimple Lie groups II: irreducibility and classification	1
Flows of $\text{G}_2$-structures, II: curvature, torsion, symbols, and functionals	1
Global behavior at infinity of period mappings defined on algebraic surface	1
The Hitchin morphism for certain surfaces fibered over a curve	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
Effective Kohn algorithm for special domain defined by functions depending on all variables	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1
On the non-existence of trapped surfaces under low-regularity bounds	1
On tidal energy in Newtonian two-body motion with infinite initial separation	1
Special issue in memory of Jean-Pierre Demailly	1
The Strominger system in the square of a Kähler class	1
Mukai duality on adiabatic coassociative fibrations	1
The weight two compactly supported Euler characteristic of moduli spaces of curves	1
Equivariant spaces of matrices of constant rank	1