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 2021-08-01 to 2025-08-01.)

Article	Citations
On modular categories $\mathcal{O}$ for quantized symplectic resolutions	32
The algebraic part of motivic cohomology	25
On the generalized shuffle-exchange problem	21
On $p$-integrality of instanton numbers	10
Quasi-random graphs of given density and Ramsey numbers	8
The genericity theorem for the essential dimension of tame stacks	6
Moufang patterns and geometry of information	5
Optimization results for sphere maps	5
Ricci-flat $5$-regular graphs	4
Twisting pure spinor superfields, with applications to supergravity	4
Quantization of Hitchin integrable system via positive characteristic	4
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential	4
Singular metrics and a conjecture by Campana and Peternell	4
Compactness of Kähler–Ricci solitons on Fano manifolds	4
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	4
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers	4
Analytic and rational sections of relative semi-abelian varieties	4
The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	3
A note on the topology of Minkowski sums and complete intersections	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
On characteristic elements modulo $p$ in non-commutative Iwasawa theory	3
Non-density of stable mappings on non-compact manifolds	3
Factorization algebras and abelian CS/WZW-type correspondences	3
Hilbert reciprocity using $K$-theory localization	3
The road to GGP	3

Lower bounds for Steklov eigenfunctions	2
Which Hessenberg varieties are GKM?	2
Disjointness of Möbius from asymptotically periodic functions	2
Kawamata-Viehweg vanishing for toric varieties	2
Maximal Mumford curves from planar graphs	2
Working with Don	2
Asymptotic properties of tensor powers in symmetric tensor categories	2
Supertranslation invariance of angular momentum at null infinity in double null gauge	2
Any oriented non-closed connected $4$-manifold can be spread holomorphically over the complex projective plane minus a point	2
Classification of multiplicity free quasi-Hamiltonian manifolds	2
Congruences via fibered motives	2
Total Cartier index of a bounded family	2
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	2
A bi-variant algebraic cobordism via correspondences	2
Covering complexity, scalar curvature, and quantitative $K$-theory	2
Uniform boundedness of semistable pure sheaves on smooth projective varieties	2
On the Feynman graph integrals on elliptic curves	2
Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory	2
The Strominger system in the square of a Kähler class	1
On the computation of character values for finite Chevalley groups of exceptional type	1
Symplectic geometric flows	1
Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces	1
Equivariant spaces of matrices of constant rank	1
Congruences for Hasse-Witt matrices and solutions of $p$-adic KZ equations	1
Iterated collapsing phenomenon on $G_2$-manifolds	1
Genericity on submanifolds and application to universal hitting time statistics	1
Mukai duality on adiabatic coassociative fibrations	1
Stability and bifurcations of symmetric tops	1
Toward the classification of threefold extremal contractions with one-dimensional fibers	1
The $\partial$-operator and real holomorphic vector fields	1
$q$-bic hypersurfaces and their Fano schemes	1
Symmetry algebras of polynomial models in complex dimension three	1
Kerr stability for small angular momentum	1
Dimension of the deformation space of ordinary representations in the cyclotomic limit	1
Characterizing Jacobians of algebraic curves with involution	1
On the non-existence of trapped surfaces under low-regularity bounds	1
The weight two compactly supported Euler characteristic of moduli spaces of curves	1
Mirror symmetry for open $r$-spin invariants	1
Error estimate for the approximate solution to multivariate feedback particle filter	1
Coassociative submanifolds in Joyce's generalised Kummer constructions	1
On normal Seshadri stratifications	1
Relative pluripotential theory on compact Kähler manifolds	1
On the projective structures on Riemann surfaces	1
Moment polytopes on Sasaki manifolds and volume minimization	1
A $1$-dimensional formal group over the prismatization of $\operatorname{Spf}\:\mathbb{Z}_p$	1
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law	1
On tidal energy in Newtonian two-body motion with infinite initial separation	1
Fibonacci polynomials	1
Global behavior at infinity of period mappings defined on algebraic surface	1
Nash blowups of 2-generic determinantal varieties in positive characteristic	1

Planar diagrammatics of self-adjoint functors and recognizable tree series	1
Deformations of Fano manifolds with weighted solitons	1
Kähler structures for holomorphic submersions	1
Catalan numbers and noncommutative Hilbert schemes	1
Dimensional reduction of B-fields in F-theory	1
A general framework and examples of the analytic Langlands correspondence	1
The logarithmic Minkowski problem in $R^2$	1
On Calabi–Yau fractional complete intersections	1
Singular Turán numbers of stars	1
Localization and standard modules for real semisimple Lie groups II: irreducibility and classification	1
Stability of Minkowski spacetime in exterior regions	1
Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type	1
Revisiting the Bel–Robinson tensor	1
L-function genera and applications	1
Basic estimates for the generalized $\partial$-complex	1
On a complex analytic Gross-Zagier formula for Stark-Heegner points over genus ﬁelds of real quadratic ﬁelds and applications	1
Flows of $\text{G}_2$-structures, II: curvature, torsion, symbols, and functionals	1
Degenerate complex Hessian equations on compact Hermitian manifolds	1
Monotone quantities of $p$-harmonic functions and their applications	1
Quantum complexity of permutations	1
Special issue in memory of Jean-Pierre Demailly	1
Residual finiteness for central extensions of lattices in $\operatorname{PU}(n,1)$ and negatively curved projective varieties	1