OOIR: Observatory of International Research

Papers

(The median citation count of Research in the Mathematical Sciences is 1. 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 2021-04-01 to 2025-04-01.)

Article	Citations
Invariants of the quartic binary form and proofs of Chen’s conjectures on inequalities for the partition function and the Andrews’ spt function	14
Remarks on potential mean field games	12
Well-posedness and bilinear controllability of a repairable system with degraded state	11
Correcting convexity bias in function and functional estimate	11
Branes and moduli spaces of Higgs bundles on smooth projective varieties	10
Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions	10
Topics on strict closure of rings	10
Isogenies of certain K3 surfaces of rank 18	9
Extendable orthogonal sets of integral vectors	9
The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations	8
On the notion of sequentially Cohen–Macaulay modules	7
Lengths of maximal green sequences for tame path algebras	7
Distribution of rational points on toric varieties: all the heights	7
Configuration-mapping spaces and homology stability	7
Infinite families of crank functions, Stanton-type conjectures, and unimodality	7
Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average	7
Estimate for the largest zeros of the D’Arcais polynomials	6
High-dimensional density estimation with tensorizing flow	6
G-invariant Hilbert schemes on Abelian surfaces and enumerative geometry of the orbifold Kummer surface	6
Lattice sums of I-Bessel functions, theta functions, linear codes and heat equations	6
Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications	6
A quaternionic construction of p-adic singular moduli	6
Tropical adic spaces I: the continuous spectrum of a topological semiring	6
The study of certain optimization problems via variational inequalities	6
Multi-component separation, inpainting and denoising with recovery guarantees	6

De Rham-Witt KZ equations	5
Duality for Poincaré series of surfaces and delta invariant of curves	5
Twisted Neumann–Zagier matrices	5
$$\lambda $$-Invariant stability in families of modular Galois representations	5
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	5
Representations of integers as sums of four polygonal numbers and partial theta functions	5
Higher derivatives of functions with given critical points and values	5
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	5
A note on complex plane curve singularities up to diffeomorphism and their rigidity	5
On the simplicial volume and the Euler characteristic of (aspherical) manifolds	4
Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials	4
Laplacian smoothing gradient descent	4
Analytical formula for conditional expectations of path-dependent product of polynomial and exponential functions of extended Cox–Ingersoll–Ross process	4
Applications to $${\mathbb {A}}^1$$-enumerative geometry of the $${\mathbb {A}}^1$$-degree	4
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	4
A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem	4
Iwasawa invariants for symmetric square representations	4
Integral representations of rank two false theta functions and their modularity properties	4
Mocking the u-plane integral	4
On the regularized risk of distributionally robust learning over deep neural networks	4
Splitting hypergeometric functions over roots of unity	4
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	3
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	3
Hilbert series of parallelogram polyominoes	3
Existence of entire solutions vanishing at infinity by positive drift	3
Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations	3
Peacock patterns and resurgence in complex Chern–Simons theory	3
Quantum q-series and mock theta functions	3
Optimal tile-based self-assembly of DNA dipyramids and trapezohedrons	3
Exploring the combinatorics of pretzel links through grid diagrams	3
Residue class biases in unrestricted partitions, partitions into distinct parts, and overpartitions	3
Free boundary methods and non-scattering phenomena	3
The Mori–Zwanzig formulation of deep learning	3
The variance and correlations of the divisor function in $${\mathbb {F}}_q [T]$$, and Hankel matrices	3
A Hilbert reciprocity law on 3-manifolds	3
Stabilization of a nonlinear hyperbolic/parabolic system	3
Developments in Commutative Algebra: In honor of Jürgen Herzog on the occasion of his 80th Birthday	3
On a new absolute version of Siegel’s lemma	3
Loop space decompositions of $$(2n-2)$$-connected $$(4n-1)$$-dimensional Poincaré Duality complexes	3
Homotopy prefactorization algebras	2
Computation of the interior transmission eigenvalues for elastic scattering in an inhomogeneous medium containing an obstacle	2
The topology of equivariant Hilbert schemes	2
On Hasse norm principle for 3-manifolds in arithmetic topology	2
Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem	2
Generalized Hamiltonian systems on subvarieties: constant rank case	2
The crossing numbers of amphicheiral knots	2
Bruce–Roberts numbers and quasihomogeneous functions on analytic varieties	2
On Kleinian mock modular forms	2
Affine homogeneous varieties and suspensions	2
Corrigendum to “Harmonic analysis and statistics of the first Galois cohomology group”	2

Deep solution operators for variational inequalities via proximal neural networks	2
Multiplicities and mixed multiplicities of arbitrary filtrations	2
On the quantitative variation of congruence ideals and integral periods of modular forms	2
Linking invariants for valuations and orderings on fields	2
Euler obstruction, Brasselet number and critical points	2
Matroid products in tropical geometry	2
A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over $${\mathbb {Q}}$$	2
Quantized convolutional neural networks through the lens of partial differential equations	2
Generalization error of GAN from the discriminator’s perspective	2
Spectral $$\varvec{\zeta }$$-functions and $$\varvec{\zeta }$$-regularized functional determinants for regular Sturm–Liouville operators	2
Divisor-bounded multiplicative functions in short intervals	2
Saddle point braids of braided fibrations and pseudo-fibrations	2
The Bloch–Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms	2
Duality and geometry of horocyclic evolutes in hyperbolic plane	2
Tight Hilbert polynomial and F-rational local rings	1
Mean field control problems for vaccine distribution	1
Spectral methods for nonlinear functionals and functional differential equations	1
Learning quantized neural nets by coarse gradient method for nonlinear classification	1
The algebraic parts of the central values of quadratic twists of modular L-functions modulo $$\ell $$	1
A perturbation problem for transmission eigenvalues	1
Torsion in differentials and Berger’s conjecture	1
Newton lenses	1
On real algebraic links in the 3-sphere associated with mixed polynomials	1
Algebraic properties of Levi graphs associated with curve arrangements	1
Powers of monomial ideals with characteristic-dependent Betti numbers	1
Explicit transformations of certain Lambert series	1
Elimination of $$B_2$$ singularities I	1
Serre duality for tame Deligne–Mumford stacks	1
On the modified transmission eigenvalue problem with an artificial metamaterial background	1
Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts	1
(Co)-Higgs bundles on non-Kähler elliptic surfaces	1
On the growth of Fourier coefficientsof Siegel cusp forms of degree two	1
Towards a quantization of the double via the enhanced symplectic “category”	1
Toric varieties admitting an action of a unipotent group with a finite number of orbits	1
Bitangents to plane quartics via tropical geometry: rationality, $$\mathbb {A}^1$$-enumeration, and real signed count	1
Synchrony patterns in Laplacian networks	1
Cohomology of complements of toric arrangements associated with root systems	1
On the set of bad primes in the study of the Casas–Alvero conjecture	1
On Lyapunov functions and particle methods for regularized minimax problems	1
Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues	1
Global planar dynamics with a star node and contracting nonlinearity	1
Merge trees in discrete Morse theory	1
The n-queens completion problem	1
Weyl formula for the eigenvalues of the dissipative acoustic operator	1
A Kronecker limit formula for indefinite zeta functions	1
Inverse problems for some fractional equations with general nonlinearity	1
Fully hyperbolic convolutional neural networks	1
On the Iwasawa theory of Cayley graphs	1
The distribution of G-Weyl CM fields and the Colmez conjecture	1
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$	1
Image of iterated polynomial maps of the real plane	1
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	1
Combinatorial multiple Eisenstein series	1
Sequentially Cohen–Macaulay binomial edge ideals of closed graphs	1
A second-order nonlocal approximation for Poisson model with Dirichlet boundary	1
Powers of graphs & applications to resolutions of powers of monomial ideals	1
Tropical ideals do not realise all Bergman fans	1
Special foliations on $$\mathbb {CP}^2$$ with a unique singular point	1