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 2021-09-01 to 2025-09-01.)

Article	Citations
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	18
Splitting hypergeometric functions over roots of unity	15
A note on complex plane curve singularities up to diffeomorphism and their rigidity	14
$$\lambda $$-Invariant stability in families of modular Galois representations	14
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs	13
The Coven–Meyerowitz tiling conditions for three prime factors: the even case	12
A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem	11
Twisted Neumann–Zagier matrices	11
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	11
High-dimensional density estimation with tensorizing flow	9
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	8
Quantum q-series and mock theta functions	8
Generalized Hamiltonian systems on subvarieties: constant rank case	8
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	8
Linking invariants for valuations and orderings on fields	8
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	7
On a new absolute version of Siegel’s lemma	7
A Kronecker limit formula for indefinite zeta functions	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
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	6
Cohomology of complements of toric arrangements associated with root systems	6
Rational torsion of generalised modular Jacobians of odd level	5

Certain invertible operator-block matrices induced by $$C^{*}$$-algebras and scaled hypercomplex numbers	5
Hochschild cohomology of symmetric groups and generating functions, II	5
Generative modeling via tree tensor network states	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
Learning generative neural networks with physics knowledge	5
Proceedings of the 17th International Workshop on Real and Complex Singularities	5
Fifty years of the Erdős similarity conjecture	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
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	4
Tight closure and strongly F-regular rings	4
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	4
Operator shifting for noisy elliptic systems	4
Equivariant cohomology for cyclic groups of square-free order	4
Representations of integers as sums of four polygonal numbers and partial theta functions	4
On gluing semigroups in $${\pmb {\mathbb {N}}}^n$$ and the consequences	4
Hook length biases and general linear partition inequalities	4
On the topology of complex projective hypersurfaces	4
Deep limits of residual neural networks	4
Extendable orthogonal sets of integral vectors	4
Homotopy prefactorization algebras	3
Image of iterated polynomial maps of the real plane	3
Denominator identity for the affine Lie superalgebra $$\widehat{\mathfrak {spo}}(2m,2m+1)$$ and indefinite theta functions	3
Deep solution operators for variational inequalities via proximal neural networks	3
Laplacian smoothing gradient descent	3
Correcting convexity bias in function and functional estimate	3
Elimination of $$B_2$$ singularities I	3
Merge trees in discrete Morse theory	3
Certain squarefree levels of reducible modular mod $$\ell $$ Galois representations	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
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
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
Singularities of caustics of surfaces in non-flat Riemannian 4-space form$$^\dag $$	2
(Co)-Higgs bundles on non-Kähler elliptic surfaces	2
The finite and solvable genus of finitely generated free and surface groups	2
Mandelbrot percolation and some of its generalizations: a survey	2
Euler equations in Sobolev conormal spaces	2
Axisymmetric solutions of the shallow water equations with bottom topography	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
Limitations to equidistribution in arithmetic progressions	2
A duality result about special functions for Drinfeld modules of arbitrary rank	2
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems	2

Correction to: Period-like polynomials for L-series associated with half-integral weight cusp forms	2
A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra	2
On singular moduli for higher rank Drinfeld modules	2
On consecutive greedy and other greedy-like type of bases	2
On unirational quartic hypersurfaces	2
Correction to: Deep limits of residual neural networks	2
Operator theory on generalized Hartogs triangles	2
The Kloosterman circle method and weighted representation numbers of quadratic forms	2
Effective Sato–Tate distributions for surfaces arising from products of elliptic curves	2
Multivariable connected sums and multiple polylogarithms	2
On character varieties of singular manifolds	2
Weighted polyhedral products and Steenrod’s problem	2
Primal–dual hybrid gradient algorithms for computing time-implicit Hamilton–Jacobi equations	2
Bi-Hölder equivalence of real analytic functions	2
Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries	2