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 2020-11-01 to 2024-11-01.)

Article	Citations
Unitary matrix models, free fermions, and the giant graviton expansion	25
A class of curvature type equation	23
A fully-nonlinear flow and quermassintegral inequalities in the sphere	20
Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles	10
Kerr stability for small angular momentum	10
Products of random matrices: a dynamical point of view	7
Localizations for quiver Hecke algebras	7
On Shimura varieties for unitary groups	6
On the dimension of Dolbeault harmonic $(1,1)$-forms on almost Hermitian $4$-manifolds	5
The Tanaka–Thomas’s Vafa–Witten invariants via surface Deligne–Mumford stacks	5
Twisted Kähler–Einstein metrics	5
Relations in the tautological ring of the moduli space of curves	4
Weak geodesics for the deformed Hermitian–Yang–Mills equation	4
On the Levi problem on Kähler manifolds under the negativity of canonical bundles on the boundary	4
The exponential map of the complexification of the group of analytic Hamiltonian diffeomorphisms	3
Irregular Eguchi–Hanson type metrics and their soliton analogues	3
Rational representation of real functions	3
The complex Monge–Ampère equation with a gradient term	3
Associated varieties for real reductive groups	3
Sobolev estimates and duality for $\overline{\partial}$ on domains in $\mathbb{CP}^n$	3
Concave elliptic equations and generalized Khovanskii–Teissier inequalities	3
Distribution of values of Gaussian hypergeometric functions	3
Standard conjectures and height pairings	3
A Lie–Rinehart algebra in general relativity	3
Compactness of Kähler–Ricci solitons on Fano manifolds	3

Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds	2
Stability and applications	2
Entropy rigidity for foliations by strictly convex projective manifolds	2
Noncommutative geometry of computational models and uniformization for framed quiver varieties	2
Lines, conics, and all that	2
The real Fourier–Mukai transform of Cayley cycles	2
Real quadratic Borcherds products	2
Sup-norm estimates for $\overline{\partial}$	2
Cartan–Iwahori–Matsumoto decompositions for reductive groups	2
Bergman kernels for Paley–Wiener spaces and Nazarov’s proof of the Bourgain–Milman theorem	2
Discrete Morse theory on digraphs	2
Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids	2
Twisted composition algebras and Arthur packets for triality $\operatorname{Spin}_8$	2
On the sum of Ricci-curvatures for weighted graphs	2
Pluripotential solutions versus viscosity solutions to complex Monge–Ampère flows	2
Congruences via fibered motives	2
Some inequalities for the dual $p$-quermassintegrals	2
A note on continuous entropy	2
A diffeomorphism-invariant metric on the space of vector-valued one-forms	2
Graded tilting for gauged Landau–Ginzburg models and geometric applications	2
Weighted uniform Diophantine approximation of systems of linear forms	2
Moishezon morphisms	2
Harmonic analysis on $\mathsf{GL}_n$ over finite fields	2
Residual finiteness for central extensions of lattices in $\operatorname{PU}(n,1)$ and negatively curved projective varieties	2
Generating Picard modular forms by means of invariant theory	2
Disjointness of Möbius from asymptotically periodic functions	2
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability	2
On finite multiple zeta values of level two	1
$\mathbb{P}^1$-fibrations in F-theory and string dualities	1
Planar diagrammatics of self-adjoint functors and recognizable tree series	1
Branching laws for discrete series of some affine symmetric spaces	1
Singularities of normal quartic surfaces II (char=2)	1
Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of $C^2$	1
On the $\mu$ equals zero conjecture for fine Selmer groups in Iwasawa theory	1
On $p$-integrality of instanton numbers	1
The $\partial$-operator and real holomorphic vector fields	1
Pure braid group actions on category $\mathcal{O}$ modules	1
Basic estimates for the generalized $\partial$-complex	1
Symmetry algebras of polynomial models in complex dimension three	1
The road to GGP	1
Non-density of stable mappings on non-compact manifolds	1
Bergman bundles and applications to the geometry of compact complex manifolds	1
The Fourier–Mukai transform made easy	1
A note on the Simpson correspondence for semistable Higgs bundles	1
Analytic and rational sections of relative semi-abelian varieties	1
Hyperbolic domains in real Euclidean spaces	1
The genericity theorem for the essential dimension of tame stacks	1
Equivariant geometry of odd-dimensional complete intersections of two quadrics	1
Schubert structure operators and $K^\ast_T (G/B)$	1
Morse-type integrals on non-Kähler manifolds	1

On multiple cover formula for local K3 gerbes	1
Concentration inequalities in spaces of random configurations with positive Ricci curvatures	1
On the vanishing of adjoint Bloch–Kato Selmer groups of irreducible automorphic Galois representations	1
Dimensional reduction of B-fields in F-theory	1
Holomorphic feedforward networks	1
On the Kähler–Ricci flow on Fano manifolds	1
Monotone quantities of $p$-harmonic functions and their applications	1
Singular plane sections and the conics in the Fermat quintic threefold	1
Abstract noncommutative Fourier series on $\Gamma \setminus SE(2)$	1
Stability of Minkowski spacetime in exterior regions	1
Areas of totally geodesic surfaces of hyperbolic $3$-orbifolds	1
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	1
Conformally natural extensions of vector fields and applications	1
Geometry of Prym varieties for certain bielliptic curves of genus three and five	1
Entropy of Bergman measures of a toric Kaehler manifold	1
CMC foliations of open spacetimes asymptotic to open Robertson–Walker spacetimes	1
Enumerative geometry of the mirror quintic	1
From conjugacy classes in the Weyl group to semisimple conjugacy classes	1
Solution of two-dimensional optimal control problem using Legendre Block-Pulse polynomial basis	1
A general framework and examples of the analytic Langlands correspondence	1
Mumford’s influence on the moduli theory of algebraic varieties	1
Span of restriction of Hilbert theta functions	1
Factorization algebras and abelian CS/WZW-type correspondences	1
Geometric vs algebraic nullity for hyperpaths	1
On Calabi–Yau fractional complete intersections	1