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 2020-11-01 to 2024-11-01.)

Article	Citations
Delay-coordinate maps, coherence, and approximate spectra of evolution operators	17
Free boundary methods and non-scattering phenomena	12
Singularity properties of Lorentzian Darboux surfaces in Lorentz–Minkowski spacetime	11
Stability bounds and almost sure convergence of improved particle swarm optimization methods	10
Mean field control problems for vaccine distribution	10
Kolmogorov width decay and poor approximators in machine learning: shallow neural networks, random feature models and neural tangent kernels	9
Generalized Paley graphs and their complete subgraphs of orders three and four	9
Approximation properties of deep ReLU CNNs	9
Effective forms of the Sato–Tate conjecture	9
An enriched count of the bitangents to a smooth plane quartic curve	8
Analytical formula for conditional expectations of path-dependent product of polynomial and exponential functions of extended Cox–Ingersoll–Ross process	8
Time-periodic measures, random periodic orbits, and the linear response for dissipative non-autonomous stochastic differential equations	8
Modeling illegal logging in Brazil	7
Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues	7
On vanishing near corners of conductive transmission eigenfunctions	7
Laplacian smoothing gradient descent	7
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	7
Explicit transformations of certain Lambert series	7
Computational graph completion	6
Zeros of Jensen polynomials and asymptotics for the Riemann xi function	6
Enhanced diffusivity and skewness of a diffusing tracer in the presence of an oscillating wall	6
Initial investigations of precipitating quasi-geostrophic turbulence with phase changes	6
Appell series over finite fields and Gaussian hypergeometric series	6
Powers of componentwise linear ideals: the Herzog–Hibi–Ohsugi conjecture and related problems	5
Spectral methods for nonlinear functionals and functional differential equations	5

Cohomology of complements of toric arrangements associated with root systems	5
Generalization error of GAN from the discriminator’s perspective	5
On sets of maximally commuting and anticommuting Pauli operators	5
Superimposing theta structure on a generalized modular relation	5
On the modified transmission eigenvalue problem with an artificial metamaterial background	5
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	5
Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals	5
Torsion in differentials and Berger’s conjecture	5
Loop space decompositions of $$(2n-2)$$-connected $$(4n-1)$$-dimensional Poincaré Duality complexes	5
Applications to $${\mathbb {A}}^1$$-enumerative geometry of the $${\mathbb {A}}^1$$-degree	5
Stability for quantitative photoacoustic tomography revisited	4
Harmonic analysis and statistics of the first Galois cohomology group	4
Peacock patterns and resurgence in complex Chern–Simons theory	4
Divisor-bounded multiplicative functions in short intervals	4
Motive of the moduli stack of rational curves on a weighted projective stack	4
Deep limits of residual neural networks	4
Fully hyperbolic convolutional neural networks	4
Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem	4
Mocking the u-plane integral	4
Integral representations of rank two false theta functions and their modularity properties	4
Uniqueness of conservative solutions for the Hunter–Saxton equation	4
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	4
Multiplicities and mixed multiplicities of arbitrary filtrations	4
Hilbert series of parallelogram polyominoes	4
On string functions and double-sum formulas	3
t-SNE, forceful colorings, and mean field limits	3
Extensions of MacMahon’s sums of divisors	3
Uniform approximation rates and metric entropy of shallow neural networks	3
Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications	3
Trace minmax functions and the radical Laguerre–Pólya class	3
On lattice polarizable cubic fourfolds	3
How does momentum benefit deep neural networks architecture design? A few case studies	3
Spectral $$\varvec{\zeta }$$-functions and $$\varvec{\zeta }$$-regularized functional determinants for regular Sturm–Liouville operators	3
On the simplicial volume and the Euler characteristic of (aspherical) manifolds	3
A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra	3
Split representation of adaptively compressed polarizability operator	3
Asymptotics for the twisted eta-product and applications to sign changes in partitions	3
Semiclassical limit of an inverse problem for the Schrödinger equation	3
The study of certain optimization problems via variational inequalities	3
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	3
A quaternionic construction of p-adic singular moduli	2
Bayesian inversion for an inverse spectral problem of transmission eigenvalues	2
Hook length biases and general linear partition inequalities	2
A stochastic closure for two-moment bulk microphysics of warm clouds: part I, derivations	2
Special foliations on $$\mathbb {CP}^2$$ with a unique singular point	2
Existence and uniqueness for solutions of mixed stochastic delay differential equations	2
Quantized convolutional neural networks through the lens of partial differential equations	2
On the notion of sequentially Cohen–Macaulay modules	2
Infinite families of crank functions, Stanton-type conjectures, and unimodality	2
Topics on strict closure of rings	2

Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media	2
Axisymmetric solutions of the shallow water equations with bottom topography	2
The distribution of G-Weyl CM fields and the Colmez conjecture	2
Powers of graphs & applications to resolutions of powers of monomial ideals	2
Ampleness of Schur powers of cotangent bundles and k-hyperbolicity	2
A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over $${\mathbb {Q}}$$	2
High-dimensional density estimation with tensorizing flow	2
On the regularized risk of distributionally robust learning over deep neural networks	2
On the occurrence of complete intersections in shifted families of numerical semigroups	2
Schur–Weyl duality for tensor powers of the Burau representation	2
Generative modeling via tree tensor network states	2
Tropical ideals do not realise all Bergman fans	2
Side effects of learning from low-dimensional data embedded in a Euclidean space	2
Bitangents to plane quartics via tropical geometry: rationality, $$\mathbb {A}^1$$-enumeration, and real signed count	2
Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average	2
A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem	2
A perturbation problem for transmission eigenvalues	1
Exact evaluations and reciprocity theorems for finite trigonometric sums	1
On the reductions of certain two-dimensional crystabelline representations	1
Merge trees in discrete Morse theory	1
Secondary cup and cap products in coarse geometry	1
Tight Hilbert polynomial and F-rational local rings	1
An algebraic lifting invariant of Ellenberg, Venkatesh, and Westerland	1
$$\lambda $$-Invariant stability in families of modular Galois representations	1
Designing rotationally invariant neural networks from PDEs and variational methods	1
The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations	1
Multivariable connected sums and multiple polylogarithms	1
Tropical adic spaces I: the continuous spectrum of a topological semiring	1
On gluing semigroups in $${\pmb {\mathbb {N}}}^n$$ and the consequences	1
Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups	1
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems	1
On the dynamical system generated by the Möbius transformation at prime times	1
Inverse problems for some fractional equations with general nonlinearity	1
On real algebraic links in the 3-sphere associated with mixed polynomials	1
Modular knots, automorphic forms, and the Rademacher symbols for triangle groups	1
Weyl formula for the eigenvalues of the dissipative acoustic operator	1
Affine homogeneous varieties and suspensions	1
Linearity of free resolutions of monomial ideals	1
Deep solution operators for variational inequalities via proximal neural networks	1
Towards the Erdős-Hajnal conjecture for $$P_5$$-free graphs	1
Iwasawa invariants for symmetric square representations	1
Automorphism groups and normal forms in Normaliz	1
On sparse geometry of numbers	1
Twelve Rational curves on Enriques surfaces	1
Cohomological supports of tensor products of modules over commutative rings	1
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	1
Derivatives of L-series of weakly holomorphic cusp forms	1
The minimum of the levels of the proper factors of a holomorphic eta quotient	1
The finite and solvable genus of finitely generated free and surface groups	1
Powers of monomial ideals with characteristic-dependent Betti numbers	1
On the cohomology of certain subspaces of $$\text {Sym}^n(\mathbb {P}^1)$$ and Occam’s razor for Hodge structures	1
Indefinite zeta functions	1
Discontinuous Galerkin method with Voronoi partitioning for quantum simulation of chemistry	1
Algebraic properties of Levi graphs associated with curve arrangements	1
On the quantitative variation of congruence ideals and integral periods of modular forms	1
Problems in arithmetic topology	1
A double-pivot simplex algorithm and its upper bounds of the iteration numbers	1
Certain invertible operator-block matrices induced by $$C^{*}$$-algebras and scaled hypercomplex numbers	1
Lengths of maximal green sequences for tame path algebras	1
A symmetric Bloch–Okounkov theorem	1
Configuration-mapping spaces and homology stability	1
Bhargava’s cube and black hole charges	1
Learning generative neural networks with physics knowledge	1
Analyticity of Steklov eigenvalues of nearly hyperspherical domains in $${\mathbb {R}}^{d + 1}$$	1
Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case	1
A second-order nonlocal approximation for Poisson model with Dirichlet boundary	1