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 2022-08-01 to 2026-08-01.)

Article	Citations
The algebraic part of motivic cohomology	44
Moufang patterns and geometry of information	35
On $p$-integrality of instanton numbers	18
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	13
Singular metrics and a conjecture by Campana and Peternell	11
On modular categories $\mathcal{O}$ for quantized symplectic resolutions	11
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	8
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers	6
Quantization of Hitchin integrable system via positive characteristic	6
On characteristic elements modulo $p$ in non-commutative Iwasawa theory	5
Twisting pure spinor superfields, with applications to supergravity	5
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	5
Non-density of stable mappings on non-compact manifolds	4
Which Hessenberg varieties are GKM?	4
A bi-variant algebraic cobordism via correspondences	4
Toricity in families of Fano varieties	4
A note on the topology of Minkowski sums and complete intersections	4
Hilbert reciprocity using $K$-theory localization	4
An explicit bound for complements on toric varieties	4
Uniform boundedness of semistable pure sheaves on smooth projective varieties	3
Kawamata-Viehweg vanishing for toric varieties	3
Congruences via fibered motives	3
Asymptotic properties of tensor powers in symmetric tensor categories	3
Morphisms from a very general hypersurface	3
Supertranslation invariance of angular momentum at null infinity in double null gauge	3

On the Feynman graph integrals on elliptic curves	3
Maximal Mumford curves from planar graphs	3
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
Classification of multiplicity free quasi-Hamiltonian manifolds	3
Total Cartier index of a bounded family	3
Stability of Minkowski spacetime in exterior regions	2
Mass-like invariants for asymptotically hyperbolic metrics. Part 1: classification	2
Logarithmic resolution of singularities in characteristic 0 using weighted blow-ups	2
Bohr–Sommerfeld quantization of $b$-symplectic toric 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
Planar diagrammatics of self-adjoint functors and recognizable tree series	2
Coassociative submanifolds in Joyce's generalised Kummer constructions	2
Fibonacci polynomials	2
Relative pluripotential theory on compact Kähler manifolds	2
Working with Don	2
Lower bounds for Steklov eigenfunctions	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
On the projective structures on Riemann surfaces	2
Nash blowups of 2-generic determinantal varieties in positive characteristic	2
Degenerate complex Hessian equations on compact Hermitian manifolds	2
$q$-bic hypersurfaces and their Fano schemes	2
Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory	2
Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces	2
Localization and standard modules for real semisimple Lie groups II: irreducibility and classification	2
Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids	1
Dimension of the deformation space of ordinary representations in the cyclotomic limit	1
Catalan numbers and noncommutative Hilbert schemes	1
Moment polytopes on Sasaki manifolds and volume minimization	1
A general framework and examples of the analytic Langlands correspondence	1
Composite media, almost touching disks and the maximum principle	1
Kerr stability for small angular momentum	1
Global behavior at infinity of period mappings defined on algebraic surface	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
On the computation of character values for finite Chevalley groups of exceptional type	1
The weight two compactly supported Euler characteristic of moduli spaces of curves	1
Effective Kohn algorithm for special domain defined by functions depending on all variables	1
Actions of finite group schemes on curves	1
Holomorphic 1-forms on some coverings of the moduli space of curves	1
Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space	1
Boundary differentiability of Douady-Earle extensions of diffeomorphisms of $S^n$	1
Kähler structures for holomorphic submersions	1
On normal Seshadri stratifications	1
Characterizing Jacobians of algebraic curves with involution	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
Tropical curves of unibranch points and hypertangency	1
On tidal energy in Newtonian two-body motion with infinite initial separation	1

Toward the classification of threefold extremal contractions with one-dimensional fibers	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1
On a level set version of partial uniform ellipticity and applications to a Krylov type equation	1
Mld versus lct near zero	1
The logarithmic Minkowski problem in $R^2$	1
Symplectic geometric flows	1
Hilbert schemes of points on surfaces and multiple $q$-zeta values	1
The based rings of two-sided cells in an Affine Weyl group of type $\tilde{B}_3$, II	1
Moduli of generalized syzygy bundles	1
Quantum complexity of permutations	1
On the non-existence of trapped surfaces under low-regularity bounds	1
Flows of $\text{G}_2$-structures, II: curvature, torsion, symbols, and functionals	1
Special issue in memory of Jean-Pierre Demailly	1
Mukai duality on adiabatic coassociative fibrations	1
The Strominger system in the square of a Kähler class	1
Deformations of Fano manifolds with weighted solitons	1
L-function genera and applications	1
Monotone quantities of $p$-harmonic functions and their applications	1
Genericity on submanifolds and application to universal hitting time statistics	1
Equivariant spaces of matrices of constant rank	1
On Sun-Zhang's theory of Fano fibrations: weighted volumes, moduli and bubbling Fano fibrations	1
Mirror symmetry for open $r$-spin invariants	1
Twisted functoriality in nonabelian Hodge theory in positive characteristic	1
The Hitchin morphism for certain surfaces fibered over a curve	1