OOIR: Observatory of International Research

Papers

(The median citation count of Research in the Mathematical Sciences 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 2021-08-01 to 2025-08-01.)

Article	Citations
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	17
Splitting hypergeometric functions over roots of unity	15
$$\lambda $$-Invariant stability in families of modular Galois representations	14
A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem	13
A note on complex plane curve singularities up to diffeomorphism and their rigidity	13
High-dimensional density estimation with tensorizing flow	11
Twisted Neumann–Zagier matrices	11
The Coven–Meyerowitz tiling conditions for three prime factors: the even case	10
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs	10
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	8
Quantum q-series and mock theta functions	8
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	8
Generalized Hamiltonian systems on subvarieties: constant rank case	8
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	8
The variance and correlations of the divisor function in $${\mathbb {F}}_q [T]$$, and Hankel matrices	7
On a new absolute version of Siegel’s lemma	7
A Kronecker limit formula for indefinite zeta functions	7
Linking invariants for valuations and orderings on fields	7
A perturbation problem for transmission eigenvalues	6
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$	6
Powers of monomial ideals with characteristic-dependent Betti numbers	6
A second-order nonlocal approximation for Poisson model with Dirichlet boundary	6
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	6
Cohomology of complements of toric arrangements associated with root systems	6
On the occurrence of complete intersections in shifted families of numerical semigroups	5

Uniqueness of conservative solutions for the Hunter–Saxton equation	5
Some remarks about $$ \rho $$-regularity for real analytic maps	5
Rational torsion of generalised modular Jacobians of odd level	5
Hochschild cohomology of symmetric groups and generating functions, II	5
Generative modeling via tree tensor network states	5
Certain invertible operator-block matrices induced by $$C^{*}$$-algebras and scaled hypercomplex numbers	5
Learning generative neural networks with physics knowledge	5
Fifty years of the Erdős similarity conjecture	4
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	4
On the topology of complex projective hypersurfaces	4
Tight closure and strongly F-regular rings	4
Hook length biases and general linear partition inequalities	4
Milnor fibration theorem for differentiable maps	4
Total Stiefel Whitney classes for real representations of $${{\,\textrm{GL}\,}}_n$$ over $$\mathbb F_q, \mathbb R$$ and $$\mathbb C$$	4
Operator shifting for noisy elliptic systems	4
Proceedings of the 17th International Workshop on Real and Complex Singularities	4
On gluing semigroups in $${\pmb {\mathbb {N}}}^n$$ and the consequences	4
Equivariant cohomology for cyclic groups of square-free order	4
Deep limits of residual neural networks	4
Representations of integers as sums of four polygonal numbers and partial theta functions	3
On the notion of sequentially Cohen–Macaulay modules	3
The topology of equivariant Hilbert schemes	3
Generalization error of GAN from the discriminator’s perspective	3
Image of iterated polynomial maps of the real plane	3
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems	3
Extendable orthogonal sets of integral vectors	3
Invariants of the quartic binary form and proofs of Chen’s conjectures on inequalities for the partition function and the Andrews’ spt function	3
On the quantitative variation of congruence ideals and integral periods of modular forms	3
Elimination of $$B_2$$ singularities I	3
Merge trees in discrete Morse theory	3
Homotopy prefactorization algebras	3
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	3
Correcting convexity bias in function and functional estimate	3
Laplacian smoothing gradient descent	3
Deep solution operators for variational inequalities via proximal neural networks	3
On Lyapunov functions and particle methods for regularized minimax problems	3
Extremal solutions for periodic problems of fractional impulsive evolution equation with piecewise Caputo derivative	3
Singularities of caustics of surfaces in non-flat Riemannian 4-space form$$^\dag $$	2
A duality result about special functions for Drinfeld modules of arbitrary rank	2
Axisymmetric solutions of the shallow water equations with bottom topography	2
Euler equations in Sobolev conormal spaces	2
On the simplicial volume and the Euler characteristic of (aspherical) manifolds	2
Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials	2
Lattice sums of I-Bessel functions, theta functions, linear codes and heat equations	2
Multivariable connected sums and multiple polylogarithms	2
Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries	2
On singular moduli for higher rank Drinfeld modules	2
Mandelbrot percolation and some of its generalizations: a survey	2
(Co)-Higgs bundles on non-Kähler elliptic surfaces	2
The finite and solvable genus of finitely generated free and surface groups	2

On character varieties of singular manifolds	2
Correction to: Deep limits of residual neural networks	2
Multi-component separation, inpainting and denoising with recovery guarantees	2
Primal–dual hybrid gradient algorithms for computing time-implicit Hamilton–Jacobi equations	2
Complexity of chess domination problems	2
Bi-Hölder equivalence of real analytic functions	2
Operator theory on generalized Hartogs triangles	2
Limitations to equidistribution in arithmetic progressions	2
Effective Sato–Tate distributions for surfaces arising from products of elliptic curves	2
Bayesian inversion for an inverse spectral problem of transmission eigenvalues	2
A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra	2
Distribution of rational points on toric varieties: all the heights	2
On consecutive greedy and other greedy-like type of bases	2
Correction to: Period-like polynomials for L-series associated with half-integral weight cusp forms	2
Side effects of learning from low-dimensional data embedded in a Euclidean space	2
On unirational quartic hypersurfaces	2
Natural model reduction for kinetic equations	2
Corrigendum to “Harmonic analysis and statistics of the first Galois cohomology group”	1
Powers of graphs & applications to resolutions of powers of monomial ideals	1
Duality for Poincaré series of surfaces and delta invariant of curves	1
The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations	1
Quantum Drinfeld modules and ray class fields of real quadratic global function fields	1
Topics on strict closure of rings	1
Towards the Erdős-Hajnal conjecture for $$P_5$$-free graphs	1
Global planar dynamics with a star node and contracting nonlinearity	1
On the Iwasawa theory of Cayley graphs	1
Matroid products in tropical geometry	1
Homology in combinatorial refraction billiards	1
The Bloch–Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms	1
Point configurations in sets of sufficient topological structure and a topological Erdős similarity conjecture	1
Loop space decompositions of $$(2n-2)$$-connected $$(4n-1)$$-dimensional Poincaré Duality complexes	1
Monodromy of stratified braid groups, II	1
Computational graph completion	1
Linearity of free resolutions of monomial ideals	1
Wavelet estimation of a regression model with mixed noises	1
Usable boundary for visibility-based surveillance-evasion games	1
Algebraic properties of Levi graphs associated with curve arrangements	1
Invariants of vanishing Brauer classes	1
Quantized convolutional neural networks through the lens of partial differential equations	1
Affine homogeneous varieties and suspensions	1
The crossing numbers of amphicheiral knots	1
Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions	1
Inverse problems for some fractional equations with general nonlinearity	1
Dual relations between line congruences in $$\mathbb {R}^3$$ and surfaces in $$\mathbb {R}^4$$	1
On the valuative Nagata conjecture	1
Reeb spaces of smooth functions on manifolds II	1
The growth rate of multicolor Ramsey numbers of 3-graphs	1
On the propulsion of a rigid body in a viscous liquid under the action of a time-periodic force	1
Fully hyperbolic convolutional neural networks	1
Stabilization of a nonlinear hyperbolic/parabolic system	1
Toric varieties admitting an action of a unipotent group with a finite number of orbits	1
Existence of entire solutions vanishing at infinity by positive drift	1