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 2022-05-01 to 2026-05-01.)

Article	Citations
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	18
A note on complex plane curve singularities up to diffeomorphism and their rigidity	17
Twisted Neumann–Zagier matrices	16
$$\lambda $$-Invariant stability in families of modular Galois representations	16
Computing Camacho-Sad-Suwa indices of logarithmic vector fields relative to singular curves	15
Euler-type recurrences for t-color and t-regular partition functions	15
Splitting hypergeometric functions over roots of unity	14
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs	13
High-dimensional density estimation with tensorizing flow	12
The Coven–Meyerowitz tiling conditions for three prime factors: the even case	12
Singularities of cuspidal edge composed with fundamental singularities from the three space to the three space	11
A 6-functor formalism for $${\mathbb {Z}}_\ell $$- and $$\mathbb {Q}_\ell $$-sheaves on diamonds	11
Generalized Hamiltonian systems on subvarieties: constant rank case	10
On a new absolute version of Siegel’s lemma	9
Quantum q-series and mock theta functions	9
Linking invariants for valuations and orderings on fields	9
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	7
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$	7
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	7
A Kronecker limit formula for indefinite zeta functions	7
The variance and correlations of the divisor function in $${\mathbb {F}}_q [T]$$, and Hankel matrices	7
A conjecture of Warnaar-Zudilin from deformations of lie superalgebras	6
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	6
A second-order nonlocal approximation for Poisson model with Dirichlet boundary	6
Proceedings of the 17th International Workshop on Real and Complex Singularities	5

Learning generative neural networks with physics knowledge	5
Rational torsion of generalised modular Jacobians of odd level	5
Certain invertible operator-block matrices induced by $$C^{*}$$-algebras and scaled hypercomplex numbers	5
On the coefficients estimate of K-quasiconformal harmonic mappings	5
Some remarks about $$ \rho $$-regularity for real analytic maps	5
Hochschild cohomology of symmetric groups and generating functions, II	5
Generative modeling via tree tensor network states	5
Affine toric surfaces and Whitney stratification	5
Operator shifting for noisy elliptic systems	4
Tight closure and strongly F-regular rings	4
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	4
Hook length biases and general linear partition inequalities	4
On the topology of complex projective hypersurfaces	4
Fifty years of the Erdős similarity conjecture	4
Milnor fibration theorem for differentiable maps	4
Quantitative covering and equidistribution	4
On the occurrence of complete intersections in shifted families of numerical semigroups	4
Equivariant cohomology for cyclic groups of square-free order	3
Deep limits of residual neural networks	3
On Triple Quadratic Residue Symbols in Real Quadratic Fields	3
Helicoidal surfaces of frontals in Euclidean space as deformations of surfaces of revolution, with singularities	3
Homotopy prefactorization algebras	3
Representations of integers as sums of four polygonal numbers and partial theta functions	3
Evolutes of lightcone framed curves in de Sitter 2-space	3
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	3
Laplacian smoothing gradient descent	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
Correcting convexity bias in function and functional estimate	3
Total Stiefel Whitney classes for real representations of $${{\,\textrm{GL}\,}}_n$$ over $$\mathbb F_q, \mathbb R$$ and $$\mathbb C$$	3
Nonvanishing of L-functions and Poincaré series for Jacobi forms of matrix index	3
Extendable orthogonal sets of integral vectors	3
On the notion of sequentially Cohen–Macaulay modules	3
The topology of equivariant Hilbert schemes	3
Inverse problem for a time-dependent convection–diffusion equation in admissible geometries	2
Complexity of chess domination problems	2
Correction to: Period-like polynomials for L-series associated with half-integral weight cusp forms	2
An unconditional equivariant main conjecture in Iwasawa theory and applications	2
The Kloosterman circle method and weighted representation numbers of quadratic forms	2
Elimination of $$B_2$$ singularities I	2
On the time behavior of a porous thermoelastic system with only thermal dissipation given by Gurtin–Pipkin law	2
Proceedings of the 18th international workshop on real and complex singularities	2
Certain squarefree levels of reducible modular mod $$\ell $$ Galois representations	2
Denominator identity for the affine Lie superalgebra $$\widehat{\mathfrak {spo}}(2m,2m+1)$$ and indefinite theta functions	2
Deep solution operators for variational inequalities via proximal neural networks	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
On unirational quartic hypersurfaces	2
The finite and solvable genus of finitely generated free and surface groups	2
Graph immersions of $${\mathbb {R}}^n$$ in $${\mathbb {R}}^{n+m}$$ making constant Jordan angles with a fixed subspace	2
Extremal solutions for periodic problems of fractional impulsive evolution equation with piecewise Caputo derivative	2

A canonical generator for congruence ideals of Hida families	2
Equiaffine structure on frontals	2
On the Saito basis for plane curves	2
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems	2
A duality result about special functions for Drinfeld modules of arbitrary rank	2
Euler equations in Sobolev conormal spaces	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
Merge trees in discrete Morse theory	2
Image of iterated polynomial maps of the real plane	2
Non-Newtonian evolutes and involutes of multiplicative fronts in the multiplicative Euclidean plane	2
(Co)-Higgs bundles on non-Kähler elliptic surfaces	2
On the quantitative variation of congruence ideals and integral periods of modular forms	2