OOIR: Observatory of International Research

Papers

(The TQCC of Research in the Mathematical Sciences is 2. 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 2022-08-01 to 2026-08-01.)

Article	Citations
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	21
$$\lambda $$-Invariant stability in families of modular Galois representations	18
Euler-type recurrences for t-color and t-regular partition functions	16
Twisted Neumann–Zagier matrices	16
Computing Camacho-Sad-Suwa indices of logarithmic vector fields relative to singular curves	15
Splitting hypergeometric functions over roots of unity	14
The Coven–Meyerowitz tiling conditions for three prime factors: the even case	12
Singularities of cuspidal edge composed with fundamental singularities from the three space to the three space	11
A 6-functor formalism for $${\mathbb {Z}}_\ell $$- and $$\mathbb {Q}_\ell $$-sheaves on diamonds	11
A note on complex plane curve singularities up to diffeomorphism and their rigidity	9
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs	9
High-dimensional density estimation with tensorizing flow	9
Generalized Hamiltonian systems on subvarieties: constant rank case	8
On a new absolute version of Siegel’s lemma	8
The variance and correlations of the divisor function in $${\mathbb {F}}_q [T]$$, and Hankel matrices	7
Linking invariants for valuations and orderings on fields	7
Quantum q-series and mock theta functions	7
A second-order nonlocal approximation for Poisson model with Dirichlet boundary	6
New polar-finite forms of generalized Euler identities for $$A_{1}^{(1)}$$-string functions and mock theta conjecture-like identities	6
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$	6
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	6
A Kronecker limit formula for indefinite zeta functions	6
Galois descent theorem in general categories	5
Hypergeometric decomposition of Delsarte K3 pencils	5
A conjecture of Warnaar-Zudilin from deformations of lie superalgebras	5

A note on higher Green’s functions	5
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	5
Some remarks about $$ \rho $$-regularity for real analytic maps	5
Affine toric surfaces and Whitney stratification	4
Hochschild cohomology of symmetric groups and generating functions, II	4
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	4
Generative modeling via tree tensor network states	4
Proceedings of the 17th International Workshop on Real and Complex Singularities	4
Certain invertible operator-block matrices induced by $$C^{*}$$-algebras and scaled hypercomplex numbers	4
On the coefficients estimate of K-quasiconformal harmonic mappings	4
Rational torsion of generalised modular Jacobians of odd level	4
Hook length biases and general linear partition inequalities	4
Central limit theorems for random multiplicative functions over function fields	3
On the topology of complex projective hypersurfaces	3
Tight closure and strongly F-regular rings	3
Evolutes of lightcone framed curves in de Sitter 2-space	3
Representations of integers as sums of four polygonal numbers and partial theta functions	3
On Triple Quadratic Residue Symbols in Real Quadratic Fields	3
Fifty years of the Erdős similarity conjecture	3
Milnor fibration theorem for differentiable maps	3
Equivariant cohomology for cyclic groups of square-free order	3
Higher-order group synchronization	3
Extendable orthogonal sets of integral vectors	3
Deep limits of residual neural networks	3
Total Stiefel Whitney classes for real representations of $${{\,\textrm{GL}\,}}_n$$ over $$\mathbb F_q, \mathbb R$$ and $$\mathbb C$$	3
Operator shifting for noisy elliptic systems	3
Quantitative covering and equidistribution	3
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	3
Nonvanishing of L-functions and Poincaré series for Jacobi forms of matrix index	3
Helicoidal surfaces of frontals in Euclidean space as deformations of surfaces of revolution, with singularities	3
On the time behavior of a porous thermoelastic system with only thermal dissipation given by Gurtin–Pipkin law	2
Non-Newtonian evolutes and involutes of multiplicative fronts in the multiplicative Euclidean plane	2
The topology of equivariant Hilbert schemes	2
Appell functions for general lattices	2
Correcting convexity bias in function and functional estimate	2
Denominator identity for the affine Lie superalgebra $$\widehat{\mathfrak {spo}}(2m,2m+1)$$ and indefinite theta functions	2
A duality result about special functions for Drinfeld modules of arbitrary rank	2
(Co)-Higgs bundles on non-Kähler elliptic surfaces	2
Elimination of $$B_2$$ singularities I	2
Voronoï summation formula for the generalized divisor function $$\sigma _{z}^{(k)}(n)$$	2
Proceedings of the 18th international workshop on real and complex singularities	2
Certain squarefree levels of reducible modular mod $$\ell $$ Galois representations	2
Invariants of the quartic binary form and proofs of Chen’s conjectures on inequalities for the partition function and the Andrews’ spt function	2
Correction: Lipschitz geometry of mixed Pham–Brieskorn singularities	2
On the quantitative variation of congruence ideals and integral periods of modular forms	2
Image of iterated polynomial maps of the real plane	2
The Kloosterman circle method and weighted representation numbers of quadratic forms	2
On the p-adic values of the weight two Eisenstein series for supersingular primes	2
Extremal solutions for periodic problems of fractional impulsive evolution equation with piecewise Caputo derivative	2
Equiaffine structure on frontals	2

Homotopy prefactorization algebras	2
Laplacian smoothing gradient descent	2
On the Saito basis for plane curves	2
On p-adic L-functions for symplectic representations of $$\text {GL}(N)$$ over number fields	2
Graph immersions of $${\mathbb {R}}^n$$ in $${\mathbb {R}}^{n+m}$$ making constant Jordan angles with a fixed subspace	2
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems	2
A canonical generator for congruence ideals of Hida families	2