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 2020-03-01 to 2024-03-01.)

Article	Citations
A class of curvature type equation	19
A fully-nonlinear flow and quermassintegral inequalities in the sphere	12
Unitary matrix models, free fermions, and the giant graviton expansion	10
Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles	8
Products of random matrices: a dynamical point of view	6
On Shimura varieties for unitary groups	5
Localizations for quiver Hecke algebras	5
Kerr stability for small angular momentum	4
Relations in the tautological ring of the moduli space of curves	4
Weak geodesics for the deformed Hermitian–Yang–Mills equation	4
On the dimension of Dolbeault harmonic $(1,1)$-forms on almost Hermitian $4$-manifolds	4
The Tanaka–Thomas’s Vafa–Witten invariants via surface Deligne–Mumford stacks	4
Twisted Kähler–Einstein metrics	4
Compactness of Kähler–Ricci solitons on Fano manifolds	3
Rational representation of real functions	3
The complex Monge–Ampère equation with a gradient term	3
Entropy rigidity for foliations by strictly convex projective manifolds	2
On the sum of Ricci-curvatures for weighted graphs	2
Harmonic analysis on $\mathsf{GL}_n$ over finite fields	2
Associated varieties for real reductive groups	2
Sup-norm estimates for $\overline{\partial}$	2
Cartan–Iwahori–Matsumoto decompositions for reductive groups	2
Stability and applications	2
Distribution of values of Gaussian hypergeometric functions	2
Twisted composition algebras and Arthur packets for triality $\operatorname{Spin}_8$	2

Lines, conics, and all that	2
Pluripotential solutions versus viscosity solutions to complex Monge–Ampère flows	2
Generating Picard modular forms by means of invariant theory	2
Sobolev estimates and duality for $\overline{\partial}$ on domains in $\mathbb{CP}^n$	2
Weighted uniform Diophantine approximation of systems of linear forms	2
The exponential map of the complexification of the group of analytic Hamiltonian diffeomorphisms	2
Moishezon morphisms	2
On the Levi problem on Kähler manifolds under the negativity of canonical bundles on the boundary	2
Irregular Eguchi–Hanson type metrics and their soliton analogues	2
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability	2
Concave elliptic equations and generalized Khovanskii–Teissier inequalities	2
Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds	1
Bergman kernels for Paley–Wiener spaces and Nazarov’s proof of the Bourgain–Milman theorem	1
Bohr–Sommerfeld quantization of $b$-symplectic toric manifolds	1
Graded tilting for gauged Landau–Ginzburg models and geometric applications	1
Equivariant geometry of odd-dimensional complete intersections of two quadrics	1
Enumerative geometry of the mirror quintic	1
Singularities of normal quartic surfaces II (char=2)	1
On multiple cover formula for local K3 gerbes	1
From conjugacy classes in the Weyl group to semisimple conjugacy classes	1
Residual finiteness for central extensions of lattices in $\operatorname{PU}(n,1)$ and negatively curved projective varieties	1
Real quadratic Borcherds products	1
Symmetry algebras of polynomial models in complex dimension three	1
On the Kähler–Ricci flow on Fano manifolds	1
A diffeomorphism-invariant metric on the space of vector-valued one-forms	1
A note on the Simpson correspondence for semistable Higgs bundles	1
On Calabi–Yau fractional complete intersections	1
The Fourier–Mukai transform made easy	1
Geometry of Prym varieties for certain bielliptic curves of genus three and five	1
$\mathbb{P}^1$-fibrations in F-theory and string dualities	1
The genericity theorem for the essential dimension of tame stacks	1
Standard conjectures and height pairings	1
Discrete Morse theory on digraphs	1
The real Fourier–Mukai transform of Cayley cycles	1
Dimensional reduction of B-fields in F-theory	1
Disjointness of Möbius from asymptotically periodic functions	1
Solution of two-dimensional optimal control problem using Legendre Block-Pulse polynomial basis	1
Span of restriction of Hilbert theta functions	1
Singular plane sections and the conics in the Fermat quintic threefold	1
Geometric vs algebraic nullity for hyperpaths	1
Factorization algebras and abelian CS/WZW-type correspondences	1
Areas of totally geodesic surfaces of hyperbolic $3$-orbifolds	1
Noncommutative geometry of computational models and uniformization for framed quiver varieties	1
Morse-type integrals on non-Kähler manifolds	1
On $p$-integrality of instanton numbers	1
On the $\mu$ equals zero conjecture for fine Selmer groups in Iwasawa theory	1
Entropy of Bergman measures of a toric Kaehler manifold	1
Congruences via fibered motives	1
On the vanishing of adjoint Bloch–Kato Selmer groups of irreducible automorphic Galois representations	1
Mumford’s influence on the moduli theory of algebraic varieties	1

Non-density of stable mappings on non-compact manifolds	1
A Lie–Rinehart algebra in general relativity	1
Analytic and rational sections of relative semi-abelian varieties	1