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 2021-11-01 to 2025-11-01.)

Article	Citations
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	18
A note on complex plane curve singularities up to diffeomorphism and their rigidity	15
$$\lambda $$-Invariant stability in families of modular Galois representations	14
Twisted Neumann–Zagier matrices	14
Splitting hypergeometric functions over roots of unity	14
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs	12
The Coven–Meyerowitz tiling conditions for three prime factors: the even case	12
High-dimensional density estimation with tensorizing flow	12
Euler-type recurrences for t-color and t-regular partition functions	12
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	10
Quantum q-series and mock theta functions	9
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	9
Generalized Hamiltonian systems on subvarieties: constant rank case	9
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	8
On a new absolute version of Siegel’s lemma	8
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	7
A second-order nonlocal approximation for Poisson model with Dirichlet boundary	7
A Kronecker limit formula for indefinite zeta functions	7
$${}_{4}F_{3}$$-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	6
Some remarks about $$ \rho $$-regularity for real analytic maps	6
Powers of monomial ideals with characteristic-dependent Betti numbers	6
A perturbation problem for transmission eigenvalues	6

Generative modeling via tree tensor network states	6
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$	6
Learning generative neural networks with physics knowledge	6
Hochschild cohomology of symmetric groups and generating functions, II	6
On the occurrence of complete intersections in shifted families of numerical semigroups	5
Uniqueness of conservative solutions for the Hunter–Saxton equation	5
Certain invertible operator-block matrices induced by $$C^{*}$$-algebras and scaled hypercomplex numbers	5
Fifty years of the Erdős similarity conjecture	5
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	5
Proceedings of the 17th International Workshop on Real and Complex Singularities	5
On gluing semigroups in $${\pmb {\mathbb {N}}}^n$$ and the consequences	5
Hook length biases and general linear partition inequalities	5
Equivariant cohomology for cyclic groups of square-free order	4
Quantitative covering and equidistribution	4
Operator shifting for noisy elliptic systems	4
Tight closure and strongly F-regular rings	4
Deep limits of residual neural networks	4
On the topology of complex projective hypersurfaces	4
Milnor fibration theorem for differentiable maps	4
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	4
Total Stiefel Whitney classes for real representations of $${{\,\textrm{GL}\,}}_n$$ over $$\mathbb F_q, \mathbb R$$ and $$\mathbb C$$	4
On the quantitative variation of congruence ideals and integral periods of modular forms	3
Correcting convexity bias in function and functional estimate	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
Generalization error of GAN from the discriminator’s perspective	3
Equiaffine structure on frontals	3
Image of iterated polynomial maps of the real plane	3
Representations of integers as sums of four polygonal numbers and partial theta functions	3
Laplacian smoothing gradient descent	3
The topology of equivariant Hilbert schemes	3
Certain squarefree levels of reducible modular mod $$\ell $$ Galois representations	3
Elimination of $$B_2$$ singularities I	3
Denominator identity for the affine Lie superalgebra $$\widehat{\mathfrak {spo}}(2m,2m+1)$$ and indefinite theta functions	3
Extendable orthogonal sets of integral vectors	3
On the notion of sequentially Cohen–Macaulay modules	3
Homotopy prefactorization algebras	3
Deep solution operators for variational inequalities via proximal neural networks	3
On Lyapunov functions and particle methods for regularized minimax problems	3
Non-Newtonian evolutes and involutes of multiplicative fronts in the multiplicative Euclidean plane	3
On character varieties of singular manifolds	2
Operator theory on generalized Hartogs triangles	2
Complexity of chess domination problems	2
Effective Sato–Tate distributions for surfaces arising from products of elliptic curves	2
A duality result about special functions for Drinfeld modules of arbitrary rank	2
Extremal solutions for periodic problems of fractional impulsive evolution equation with piecewise Caputo derivative	2
Graph immersions of $${\mathbb {R}}^n$$ in $${\mathbb {R}}^{n+m}$$ making constant Jordan angles with a fixed subspace	2
Correction to: Period-like polynomials for L-series associated with half-integral weight cusp forms	2
Correction to: Deep limits of residual neural networks	2
Natural model reduction for kinetic equations	2
Axisymmetric solutions of the shallow water equations with bottom topography	2

Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries	2
Limitations to equidistribution in arithmetic progressions	2
On the p-adic values of the weight two Eisenstein series for supersingular primes	2
The Kloosterman circle method and weighted representation numbers of quadratic forms	2
Merge trees in discrete Morse theory	2
(Co)-Higgs bundles on non-Kähler elliptic surfaces	2
On singular moduli for higher rank Drinfeld modules	2
Bi-Hölder equivalence of real analytic functions	2
Weighted polyhedral products and Steenrod’s problem	2
Euler equations in Sobolev conormal spaces	2
Inverse problem for a time-dependent convection–diffusion equation in admissible geometries	2
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems	2
Mandelbrot percolation and some of its generalizations: a survey	2
Singularities of caustics of surfaces in non-flat Riemannian 4-space form$$^\dag $$	2
The finite and solvable genus of finitely generated free and surface groups	2
On the time behavior of a porous thermoelastic system with only thermal dissipation given by Gurtin–Pipkin law	2
On unirational quartic hypersurfaces	2
Multivariable connected sums and multiple polylogarithms	2