OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Research Letters 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
Finite extensions partially splitting PGO-torsors	9
Freeness of Hecke modules at non-minimal levels	8
On characteristic polynomials of certain Iwasawa modules	6
An example of non-Kähler Calabi–Yau fourfold	6
Nonlocal degenerate Isaacs operators: Hölder regularity	5
Rigidity of complete ancient solutions to the mean curvature flow	5
Improved discrete restriction for the parabola	5
Small eigenvalues of Schrödinger operators over geometrically finite manifolds	5
Associating deformed $\phi$-coordinated modules for the quantum affine vertex algebra with orthogonal twisted $h$-Yangians	4
Counting quintic fields with genus number one	4
Nearly parallel $\mathrm{G}_2$-manifolds: formality and associative submanifolds	4
Concentrating Dirac operators and generalized Seiberg-Witten equations	4
Every projective Oka manifold is elliptic	4
Stein-fillable open books of genus one that do not admit positive factorisations	4
On a numerical criterion for Fano fourfolds	4
Zero–one laws for eventually always hitting points in rapidly mixing systems	4
Parametrized Kähler class and Zariski dense orbital 1-cohomology	4
Locally nilpotent groups and hyperfinite equivalence relations	3
Existence of an exotic plane in an acylindrical 3-manifold	3
On Fano manifolds of Picard number one with big automorphism groups	3
Geometric retract rationality of norm varieties	2
Anti-symplectic involutions on moduli spaces of sheaves on K3 surfaces via auto-equivalences	2
Extendability of automorphisms of K3 surfaces	2
On decay and regularity properties of solutions to the Benjamin-Ono equation	2
Counting twisted tame Fourier-Mukai partners of an ordinary K3 surface	2

Anomaly cancellation formulas and $E_8$ bundles	2
Special solutions to the Type IIA flow	2
Rigidity on non-negative intermediate curvature	2
A new proof of an inequality of Bourgain	2
Cheeger constant of convex co-compact hyperbolic 3-manifolds	2
Non-vanishing of critical $L$-values in Hida families	2
Lagrangian intersections and cuplength in generalised cohomology theories	2
Classification of lattices bounded by large surgeries of knots	2
Lower bound for the first eigenvalue of $p-$Laplacian and applications in asymptotically hyperbolic Einstein manifolds	2
The nonabelian Hodge correspondence for balanced Hermitian metrics of Hodge-Riemann type	2
A remark on the B-model comparison of Hodge structures	2
Level lowering on Siegel modular threefolds of paramodular level	2
Counting points on Igusa varieties of Hodge type	2
On radical filtrations of parabolic Verma modules	2
Choices of HKR isomorphisms	2
Computing structure constants for rings of finite rank from minimal free resolutions	2
Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces	2
Singularity formation in co-dimension one of the dHYM cotangent flow on blow up of $\mathbb{C}\mathbb{P}^{3}$ at a point	2
On the set of non radiative solutions for the energy critical wave equation	2
Explicit semiclassical resonances from many delta functions	2
Flat trace estimates for Anosov flows	2
Derived equivalences over base schemes and support of complexes	1
Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation	1
Multiplier ideals and klt singularities via (derived) splittings	1
Unknotting number 21 knots are slice in $K3$	1
Hodge symmetry for rigid varieties via $\log$ hard Lefschetz	1
An enlargeability obstruction for spacetimes with both big bang and big crunch	1
Modular forms, deformation of punctured spheres, and extensions of symmetric tensor representations	1
Derived categories of Quot schemes of locally free quotients via categorified Hall products	1
3-manifolds that bound no definite 4-manifolds	1
A Riemannian metric on hyperbolic components	1
Examples of Hölder-stable phase retrieval	1
An ordinary rank-two case of local-global compatibility for automorphic representations of arbitrary weight over CM fields	1
The Calderón problem for the fractional Dirac operator	1
Gromov-Hausdorff limits and Holomorphic isometries	1
Left orderability and taut foliations with orderable cataclysm	1
Contractibility of space of stability conditions on the projective plane via global dimension function	1
$d$-elliptic loci and the Torelli map	1
A finiteness property of postcritically finite unicritical polynomials	1
On sharp Beckner's inequality for axially symmetric functions on $\mathbb{S}^4$	1
Deformed Hermitian–Yang–Mills equation on compact Hermitian manifolds	1
Convexity of the weighted Mabuchi functional and the uniqueness of weighted extremal metrics	1
Uniqueness of equivariant harmonic maps to symmetric spaces and buildings	1
An Upsilon torsion function for knot Floer homology	1
Endomorphisms of Fano 3-folds and log Bott vanishing	1
Linear subspaces of minimal codimension in hypersurfaces	1
Curvature estimates for hypersurfaces of constant curvature in hyperbolic space	1
Homological mirror symmetry for nodal stacky curves	1
The Surface Group Conjectures for groups with two generators	1
Existence of real algebraic hypersurfaces with many prescribed components	1

Low-lying geodesics on the modular surface and necklaces	1
Topology of $\mathbb{G}_m$-actions and applications to the moduli of Higgs bundles	1
On certain extensions of vector bundles in $p$-adic geometry	1
Equivariant sheaves on loop spaces	1
Positive currents on non-kählerian surfaces	1
Finiteness of non-constant maps over a number field	1
Algebraic Gromov ellipticity of cones over projective manifolds	1
Moduli spaces of semistable pairs on projective Deligne–Mumford stacks	1
Exceptional Fano varieties with small minimal log discrepancy	1
Positively curved Kähler metrics on tube domains and their applications to optimal transport	1
Spineless 5-manifolds and the deformation conjecture	1
Multivariable de Rham representations, Sen theory and $p$-adic differential equations	1