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 2021-02-01 to 2025-02-01.)

Article	Citations
Extendable orthogonal sets of integral vectors	12
Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials	11
Lengths of maximal green sequences for tame path algebras	10
The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations	10
A Hilbert reciprocity law on 3-manifolds	9
A generalized Iwasawa’s theorem and its application	9
Infinite families of crank functions, Stanton-type conjectures, and unimodality	8
Distribution of rational points on toric varieties: all the heights	8
Branes and moduli spaces of Higgs bundles on smooth projective varieties	8
Configuration-mapping spaces and homology stability	7
Multi-component separation, inpainting and denoising with recovery guarantees	7
On the regularized risk of distributionally robust learning over deep neural networks	7
A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem	7
G-invariant Hilbert schemes on Abelian surfaces and enumerative geometry of the orbifold Kummer surface	7
Estimate for the largest zeros of the D’Arcais polynomials	7
Laplacian smoothing gradient descent	6
A quaternionic construction of p-adic singular moduli	6
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	6
Twisted Neumann–Zagier matrices	6
$$\lambda $$-Invariant stability in families of modular Galois representations	6
De Rham-Witt KZ equations	5
Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications	5
Analytical formula for conditional expectations of path-dependent product of polynomial and exponential functions of extended Cox–Ingersoll–Ross process	5
Mocking the u-plane integral	5
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	5

Higher derivatives of functions with given critical points and values	5
Applications to $${\mathbb {A}}^1$$-enumerative geometry of the $${\mathbb {A}}^1$$-degree	5
A note on complex plane curve singularities up to diffeomorphism and their rigidity	5
The study of certain optimization problems via variational inequalities	5
High-dimensional density estimation with tensorizing flow	5
Topics on strict closure of rings	5
Iwasawa invariants for symmetric square representations	4
Duality for Poincaré series of surfaces and delta invariant of curves	4
Integral representations of rank two false theta functions and their modularity properties	4
Lattice sums of I-Bessel functions, theta functions, linear codes and heat equations	4
On the simplicial volume and the Euler characteristic of (aspherical) manifolds	4
Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average	4
Splitting hypergeometric functions over roots of unity	4
On the notion of sequentially Cohen–Macaulay modules	4
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	4
Isogenies of certain K3 surfaces of rank 18	4
Tropical adic spaces I: the continuous spectrum of a topological semiring	4
Hilbert series of parallelogram polyominoes	4
Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions	4
Computation of the interior transmission eigenvalues for elastic scattering in an inhomogeneous medium containing an obstacle	3
A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over $${\mathbb {Q}}$$	3
On a new absolute version of Siegel’s lemma	3
Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations	3
The variance and correlations of the divisor function in $${\mathbb {F}}_q [T]$$, and Hankel matrices	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
Divisor-bounded multiplicative functions in short intervals	3
Saddle point braids of braided fibrations and pseudo-fibrations	3
The Mori–Zwanzig formulation of deep learning	3
Deep solution operators for variational inequalities via proximal neural networks	3
Loop space decompositions of $$(2n-2)$$-connected $$(4n-1)$$-dimensional Poincaré Duality complexes	3
Several new product identities in relation to Rogers–Ramanujan type sums and mock theta functions	3
Developments in Commutative Algebra: In honor of Jürgen Herzog on the occasion of his 80th Birthday	3
The Bloch–Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms	3
Duality and geometry of horocyclic evolutes in hyperbolic plane	3
Representations of integers as sums of four polygonal numbers and partial theta functions	3
Corrigendum to “Harmonic analysis and statistics of the first Galois cohomology group”	2
Spectral $$\varvec{\zeta }$$-functions and $$\varvec{\zeta }$$-regularized functional determinants for regular Sturm–Liouville operators	2
Matroid products in tropical geometry	2
On Kleinian mock modular forms	2
On the quantitative variation of congruence ideals and integral periods of modular forms	2
Linking invariants for valuations and orderings on fields	2
Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts	2
Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem	2
The topology of equivariant Hilbert schemes	2
Euler obstruction, Brasselet number and critical points	2
Free boundary methods and non-scattering phenomena	2
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	2
Quantized convolutional neural networks through the lens of partial differential equations	2
Affine homogeneous varieties and suspensions	2
Bruce–Roberts numbers and quasihomogeneous functions on analytic varieties	2

Generalized Hamiltonian systems on subvarieties: constant rank case	2
Multiplicities and mixed multiplicities of arbitrary filtrations	2
Tight Hilbert polynomial and F-rational local rings	2
The crossing numbers of amphicheiral knots	2
Quantum q-series and mock theta functions	2
Peacock patterns and resurgence in complex Chern–Simons theory	2
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	2
Generalization error of GAN from the discriminator’s perspective	2
Homotopy prefactorization algebras	2