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 2022-01-01 to 2026-01-01.)

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
Twisted Neumann–Zagier matrices	14
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs	14
$$\lambda $$-Invariant stability in families of modular Galois representations	14
The Coven–Meyerowitz tiling conditions for three prime factors: the even case	14
Euler-type recurrences for t-color and t-regular partition functions	12
Splitting hypergeometric functions over roots of unity	12
Computing Camacho-Sad-Suwa indices of logarithmic vector fields relative to singular curves	12
Singularities of cuspidal edge composed with fundamental singularities from the three space to the three space	10
High-dimensional density estimation with tensorizing flow	10
Generalized Hamiltonian systems on subvarieties: constant rank case	9
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	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
Quantum q-series and mock theta functions	8
On a new absolute version of Siegel’s lemma	8
Powers of monomial ideals with characteristic-dependent Betti numbers	7
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	7
Cohomology of complements of toric arrangements associated with root systems	7
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$	7
A second-order nonlocal approximation for Poisson model with Dirichlet boundary	7
A Kronecker limit formula for indefinite zeta functions	7
Some remarks about $$ \rho $$-regularity for real analytic maps	6
Rational torsion of generalised modular Jacobians of odd level	6

Generative modeling via tree tensor network states	6
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	6
Learning generative neural networks with physics knowledge	6
A perturbation problem for transmission eigenvalues	6
Hochschild cohomology of symmetric groups and generating functions, II	6
Certain invertible operator-block matrices induced by $$C^{*}$$-algebras and scaled hypercomplex numbers	5
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	5
Uniqueness of conservative solutions for the Hunter–Saxton equation	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
Operator shifting for noisy elliptic systems	5
On the occurrence of complete intersections in shifted families of numerical semigroups	5
Fifty years of the Erdős similarity conjecture	5
Hook length biases and general linear partition inequalities	5
Total Stiefel Whitney classes for real representations of $${{\,\textrm{GL}\,}}_n$$ over $$\mathbb F_q, \mathbb R$$ and $$\mathbb C$$	4
Deep limits of residual neural networks	4
Extendable orthogonal sets of integral vectors	4
On the topology of complex projective hypersurfaces	4
Tight closure and strongly F-regular rings	4
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	4
Quantitative covering and equidistribution	4
Milnor fibration theorem for differentiable maps	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 the quantitative variation of congruence ideals and integral periods of modular forms	3
On the notion of sequentially Cohen–Macaulay modules	3
The topology of equivariant Hilbert schemes	3
Equiaffine structure on frontals	3
Image of iterated polynomial maps of the real plane	3
Non-Newtonian evolutes and involutes of multiplicative fronts in the multiplicative Euclidean plane	3
Correcting convexity bias in function and functional estimate	3
Laplacian smoothing gradient descent	3
Homotopy prefactorization algebras	3
Deep solution operators for variational inequalities via proximal neural networks	3
Denominator identity for the affine Lie superalgebra $$\widehat{\mathfrak {spo}}(2m,2m+1)$$ and indefinite theta functions	3
Helicoidal surfaces of frontals in Euclidean space as deformations of surfaces of revolution, with singularities	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
Certain squarefree levels of reducible modular mod $$\ell $$ Galois representations	3
On Lyapunov functions and particle methods for regularized minimax problems	3
Merge trees in discrete Morse theory	3
Correction to: Deep limits of residual neural networks	2
Operator theory on generalized Hartogs triangles	2
A duality result about special functions for Drinfeld modules of arbitrary rank	2
Limitations to equidistribution in arithmetic progressions	2
Effective Sato–Tate distributions for surfaces arising from products of elliptic curves	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
Correction to: Period-like polynomials for L-series associated with half-integral weight cusp forms	2
Complexity of chess domination problems	2
Natural model reduction for kinetic equations	2

Inverse problem for a time-dependent convection–diffusion equation in admissible geometries	2
Euler equations in Sobolev conormal spaces	2
(Co)-Higgs bundles on non-Kähler elliptic surfaces	2
An unconditional equivariant main conjecture in Iwasawa theory and applications	2
Elimination of $$B_2$$ singularities I	2
The finite and solvable genus of finitely generated free and surface groups	2
The Kloosterman circle method and weighted representation numbers of quadratic forms	2
Axisymmetric solutions of the shallow water equations with bottom topography	2
Bi-Hölder equivalence of real analytic functions	2
Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries	2
Singularities of caustics of surfaces in non-flat Riemannian 4-space form$$^\dag $$	2
A geometric quantisation view on the AJ-conjecture for the Teichmüller TQFT	2
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems	2
Graph immersions of $${\mathbb {R}}^n$$ in $${\mathbb {R}}^{n+m}$$ making constant Jordan angles with a fixed subspace	2
On the time behavior of a porous thermoelastic system with only thermal dissipation given by Gurtin–Pipkin law	2
Mandelbrot percolation and some of its generalizations: a survey	2
On unirational quartic hypersurfaces	2
Weighted polyhedral products and Steenrod’s problem	2
On character varieties of singular manifolds	2