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 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 note on complex plane curve singularities up to diffeomorphism and their rigidity	13
A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem	13
High-dimensional density estimation with tensorizing flow	11
Twisted Neumann–Zagier matrices	11
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs	10
The Coven–Meyerowitz tiling conditions for three prime factors: the even case	10
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
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	8
Quantum q-series and mock theta functions	8
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
The variance and correlations of the divisor function in $${\mathbb {F}}_q [T]$$, and Hankel matrices	7
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
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
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
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
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
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
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
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
(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
Multivariable connected sums and multiple polylogarithms	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
Side effects of learning from low-dimensional data embedded in a Euclidean space	2
Complexity of chess domination problems	2
Natural model reduction for kinetic equations	2
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
Correction to: Period-like polynomials for L-series associated with half-integral weight cusp forms	2
Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries	2
On unirational quartic hypersurfaces	2
On singular moduli for higher rank Drinfeld modules	2
Mandelbrot percolation and some of its generalizations: a survey	2