OOIR: Observatory of International Research

Papers

(The TQCC of Research in the Mathematical Sciences is 3. 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 2021-05-01 to 2025-05-01.)

Article	Citations
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	14
Mocking the u-plane integral	13
Splitting hypergeometric functions over roots of unity	12
$$\lambda $$-Invariant stability in families of modular Galois representations	11
Twisted Neumann–Zagier matrices	10
High-dimensional density estimation with tensorizing flow	10
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	10
A note on complex plane curve singularities up to diffeomorphism and their rigidity	9
A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem	8
Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem	7
Quantum q-series and mock theta functions	7
The variance and correlations of the divisor function in $${\mathbb {F}}_q [T]$$, and Hankel matrices	7
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	7
On a new absolute version of Siegel’s lemma	7
Linking invariants for valuations and orderings on fields	7
Generalized Hamiltonian systems on subvarieties: constant rank case	7
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	7
Zeros of Jensen polynomials and asymptotics for the Riemann xi function	6
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$	6
A Kronecker limit formula for indefinite zeta functions	6
Cohomology of complements of toric arrangements associated with root systems	6
A perturbation problem for transmission eigenvalues	6
Powers of monomial ideals with characteristic-dependent Betti numbers	6
Generative modeling via tree tensor network states	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
Superimposing theta structure on a generalized modular relation	5
Hochschild cohomology of symmetric groups and generating functions, II	5
Learning generative neural networks with physics knowledge	5
On the occurrence of complete intersections in shifted families of numerical semigroups	5
Rational torsion of generalised modular Jacobians of odd level	5
Some remarks about $$ \rho $$-regularity for real analytic maps	5
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	4
Proceedings of the 17th International Workshop on Real and Complex Singularities	4
Tight closure and strongly F-regular rings	4
Operator shifting for noisy elliptic systems	4
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	4
On gluing semigroups in $${\pmb {\mathbb {N}}}^n$$ and the consequences	4
Fifty years of the Erdős similarity conjecture	4
Equivariant cohomology for cyclic groups of square-free order	4
On the topology of complex projective hypersurfaces	4
Milnor fibration theorem for differentiable maps	4
Certain invertible operator-block matrices induced by $$C^{*}$$-algebras and scaled hypercomplex numbers	4
Uniqueness of conservative solutions for the Hunter–Saxton equation	4
Hook length biases and general linear partition inequalities	4
Deep limits of residual neural networks	4
Total Stiefel Whitney classes for real representations of $${{\,\textrm{GL}\,}}_n$$ over $$\mathbb F_q, \mathbb R$$ and $$\mathbb C$$	4
Merge trees in discrete Morse theory	3
Representations of integers as sums of four polygonal numbers and partial theta functions	3
Extendable orthogonal sets of integral vectors	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
Homotopy prefactorization algebras	3
On the notion of sequentially Cohen–Macaulay modules	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
On the modified transmission eigenvalue problem with an artificial metamaterial background	3
Image of iterated polynomial maps of the real plane	3
The topology of equivariant Hilbert schemes	3
A quaternionic construction of p-adic singular moduli	3
Correcting convexity bias in function and functional estimate	3
Generalization error of GAN from the discriminator’s perspective	3
Elimination of $$B_2$$ singularities I	3