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 2021-11-01 to 2025-11-01.)

Article	Citations
Finite extensions partially splitting PGO-torsors	11
Freeness of Hecke modules at non-minimal levels	7
An example of non-Kähler Calabi–Yau fourfold	7
On characteristic polynomials of certain Iwasawa modules	7
Improved discrete restriction for the parabola	6
Persistence of the Brauer–Manin obstruction on cubic surfaces	6
Counting ancient solutions on a strip with exponential growth	5
Small eigenvalues of Schrödinger operators over geometrically finite manifolds	5
On a numerical criterion for Fano fourfolds	4
Zero–one laws for eventually always hitting points in rapidly mixing systems	4
Locally nilpotent groups and hyperfinite equivalence relations	4
Counting quintic fields with genus number one	4
Parametrized Kähler class and Zariski dense orbital 1-cohomology	4
Rigidity of complete ancient solutions to the mean curvature flow	4
Nearly parallel $\mathrm{G}_2$-manifolds: formality and associative submanifolds	4
Stein-fillable open books of genus one that do not admit positive factorisations	4
Existence of an exotic plane in an acylindrical 3-manifold	3
The nonabelian Hodge correspondence for balanced Hermitian metrics of Hodge-Riemann type	3
Decay rates for the damped wave equation with finite regularity damping	3
Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces	3
Existence and uniqueness of stationary solutions in $5$-dimensional minimal supergravity	3
Weight elimination in two dimensions when $p=2$	3
Special solutions to the Type IIA flow	3
On the stability of the anomaly flow	3
On Fano manifolds of Picard number one with big automorphism groups	3

Fiber sum formulae for the Casson–Seiberg–Witten invariant of integral homology $S^1 \times S^3$	3
Anomaly cancellation formulas and $E_8$ bundles	3
Counting twisted tame Fourier-Mukai partners of an ordinary K3 surface	3
Endomorphisms of Fano 3-folds and log Bott vanishing	2
Inverse mean curvature flow over non-star-shaped surfaces	2
Examples of Hölder-stable phase retrieval	2
Extendability of automorphisms of K3 surfaces	2
Level lowering on Siegel modular threefolds of paramodular level	2
On radical filtrations of parabolic Verma modules	2
Classification of homogeneous strictly pseudoconvex hypersurfaces in $\mathbb{C}^3$	2
Computing structure constants for rings of finite rank from minimal free resolutions	2
Rigidity on non-negative intermediate curvature	2
Perfectoid covers of abelian varieties	2
Algebraic Gromov ellipticity of cones over projective manifolds	2
Modular forms, deformation of punctured spheres, and extensions of symmetric tensor representations	2
Moduli spaces of semistable pairs on projective Deligne–Mumford stacks	2
Geometric retract rationality of norm varieties	2
3-manifolds that bound no definite 4-manifolds	2
Flat conical Laplacian in the square of the canonical bundle and its regularized determinants	2
Refinements of strong multiplicity one for $\mathrm{GL}(2)$	2
Boundary branch divisor of toroidal compactification	2
Duals of non-zero square	2
Counting twisted Higgs bundles	2
Uniqueness of equivariant harmonic maps to symmetric spaces and buildings	2
An Upsilon torsion function for knot Floer homology	2
A Riemannian metric on hyperbolic components	2
Flat trace estimates for Anosov flows	2
A new proof of an inequality of Bourgain	2
Instability of the solitary waves for the 1d NLS with an attractive delta potential in the degenerate case	2
Lagrangian intersections and cuplength in generalised cohomology theories	2
Complexity and support varieties for type $P$ Lie superalgebras	2
On contact invariants of non-simply connected Gorenstein toric contact manifolds	2
On the finiteness of ample models	2
Positively curved Kähler metrics on tube domains and their applications to optimal transport	2
Deformation of Hermitian metrics	1
Linear subspaces of minimal codimension in hypersurfaces	1
Gromov-Hausdorff limits and Holomorphic isometries	1
On the semi-simplicity conjecture for $\mathbb{Q}^\mathrm{ab}$	1
Equivariant sheaves on loop spaces	1
A finiteness property of postcritically finite unicritical polynomials	1
Hodge symmetry for rigid varieties via $\log$ hard Lefschetz	1
Positive currents on non-kählerian surfaces	1
An ordinary rank-two case of local-global compatibility for automorphic representations of arbitrary weight over CM fields	1
Embedding non-arithmetic hyperbolic manifolds	1
Finiteness of non-constant maps over a number field	1
Derived equivalences over base schemes and support of complexes	1
The principle of least action in the space of Kähler potentials	1
Derived categories of Quot schemes of locally free quotients via categorified Hall products	1
Curvature estimates for hypersurfaces of constant curvature in hyperbolic space	1
On the projective derivative cocycle for circle diffeomorphisms	1

Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation	1
Automorphisms of products of toric varieties	1
Quasimode and Strichartz estimates for time-dependent Schrödinger equations with singular potentials	1
On certain extensions of vector bundles in $p$-adic geometry	1
Deformed Hermitian–Yang–Mills equation on compact Hermitian manifolds	1
Contractibility of space of stability conditions on the projective plane via global dimension function	1
Construction of the moduli space of Higgs bundles using analytic methods	1
Polya enumeration theorems in algebraic geometry	1
Spineless 5-manifolds and the deformation conjecture	1
Left orderability and taut foliations with orderable cataclysm	1
Convexity of the weighted Mabuchi functional and the uniqueness of weighted extremal metrics	1
Unknotting number 21 knots are slice in $K3$	1
Kodaira dimension and zeros of holomorphic one-forms, revisited	1
On quaternionic rigid meromorphic cocyles	1
The local information of difference equations	1
A note on blowup limits in 3d Ricci flow	1
Existence of real algebraic hypersurfaces with many prescribed components	1
Non-algebraic deformations of flat Kähler manifolds	1
Semiclassical resolvent bounds for weakly decaying potentials	1
On sharp Beckner's inequality for axially symmetric functions on $\mathbb{S}^4$	1
Positivity of the cotangent sheaf of singular Calabi–Yau varieties	1
An enlargeability obstruction for spacetimes with both big bang and big crunch	1
Multivariable de Rham representations, Sen theory and $p$-adic differential equations	1
The Surface Group Conjectures for groups with two generators	1