Research in the Mathematical Sciences

Article	Citations
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	18
Splitting hypergeometric functions over roots of unity	15
A note on complex plane curve singularities up to diffeomorphism and their rigidity	14
$$\lambda $$-Invariant stability in families of modular Galois representations	14
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs	13
The Coven–Meyerowitz tiling conditions for three prime factors: the even case	12
Twisted Neumann–Zagier matrices	11
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	11
A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem	11
High-dimensional density estimation with tensorizing flow	9
Generalized Hamiltonian systems on subvarieties: constant rank case	8
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	8
Linking invariants for valuations and orderings on fields	8
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	8
Quantum q-series and mock theta functions	8
A second-order nonlocal approximation for Poisson model with Dirichlet boundary	7
On a new absolute version of Siegel’s lemma	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
Powers of monomial ideals with characteristic-dependent Betti numbers	6
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	6
Cohomology of complements of toric arrangements associated with root systems	6
A perturbation problem for transmission eigenvalues	6
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$	6
Hochschild cohomology of symmetric groups and generating functions, II	5

Generative modeling via tree tensor network states	5
On the occurrence of complete intersections in shifted families of numerical semigroups	5
Uniqueness of conservative solutions for the Hunter–Saxton equation	5
Some remarks about $$ \rho $$-regularity for real analytic maps	5
Learning generative neural networks with physics knowledge	5
Proceedings of the 17th International Workshop on Real and Complex Singularities	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
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	4
Operator shifting for noisy elliptic systems	4
Equivariant cohomology for cyclic groups of square-free order	4
Representations of integers as sums of four polygonal numbers and partial theta functions	4
On gluing semigroups in $${\pmb {\mathbb {N}}}^n$$ and the consequences	4
Hook length biases and general linear partition inequalities	4
On the topology of complex projective hypersurfaces	4
Deep limits of residual neural networks	4
Extendable orthogonal sets of integral vectors	4
Fifty years of the Erdős similarity conjecture	4
Milnor fibration theorem for differentiable maps	4
Total Stiefel Whitney classes for real representations of $${{\,\textrm{GL}\,}}_n$$ over $$\mathbb F_q, \mathbb R$$ and $$\mathbb C$$	4
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	4
Tight closure and strongly F-regular rings	4
Correcting convexity bias in function and functional estimate	3
Elimination of $$B_2$$ singularities I	3
Merge trees in discrete Morse theory	3
Certain squarefree levels of reducible modular mod $$\ell $$ Galois representations	3
On the notion of sequentially Cohen–Macaulay modules	3
The topology of equivariant Hilbert schemes	3
Generalization error of GAN from the discriminator’s perspective	3
On Lyapunov functions and particle methods for regularized minimax problems	3
Extremal solutions for periodic problems of fractional impulsive evolution equation with piecewise Caputo derivative	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
Homotopy prefactorization algebras	3
Image of iterated polynomial maps of the real plane	3
Denominator identity for the affine Lie superalgebra $$\widehat{\mathfrak {spo}}(2m,2m+1)$$ and indefinite theta functions	3
Deep solution operators for variational inequalities via proximal neural networks	3
Laplacian smoothing gradient descent	3
Limitations to equidistribution in arithmetic progressions	2
A duality result about special functions for Drinfeld modules of arbitrary rank	2
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems	2
Complexity of chess domination problems	2
Correction to: Period-like polynomials for L-series associated with half-integral weight cusp forms	2
A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra	2
On singular moduli for higher rank Drinfeld modules	2
On consecutive greedy and other greedy-like type of bases	2
Correction to: Deep limits of residual neural networks	2
Operator theory on generalized Hartogs triangles	2
The Kloosterman circle method and weighted representation numbers of quadratic forms	2
Effective Sato–Tate distributions for surfaces arising from products of elliptic curves	2

Multivariable connected sums and multiple polylogarithms	2
On unirational quartic hypersurfaces	2
On character varieties of singular manifolds	2
Weighted polyhedral products and Steenrod’s problem	2
Primal–dual hybrid gradient algorithms for computing time-implicit Hamilton–Jacobi equations	2
Bi-Hölder equivalence of real analytic functions	2
Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries	2
Singularities of caustics of surfaces in non-flat Riemannian 4-space form$$^\dag $$	2
(Co)-Higgs bundles on non-Kähler elliptic surfaces	2
The finite and solvable genus of finitely generated free and surface groups	2
Mandelbrot percolation and some of its generalizations: a survey	2
Euler equations in Sobolev conormal spaces	2
Axisymmetric solutions of the shallow water equations with bottom topography	2
Side effects of learning from low-dimensional data embedded in a Euclidean space	2
Natural model reduction for kinetic equations	2
Dual relations between line congruences in $$\mathbb {R}^3$$ and surfaces in $$\mathbb {R}^4$$	1
Powers of graphs & applications to resolutions of powers of monomial ideals	1
Homology in combinatorial refraction billiards	1
Algebraic properties of Levi graphs associated with curve arrangements	1
Existence of entire solutions vanishing at infinity by positive drift	1
Corrigendum to “Harmonic analysis and statistics of the first Galois cohomology group”	1
Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions	1
Multi-component separation, inpainting and denoising with recovery guarantees	1
Point configurations in sets of sufficient topological structure and a topological Erdős similarity conjecture	1
Stabilization of a nonlinear hyperbolic/parabolic system	1
Towards the Erdős-Hajnal conjecture for $$P_5$$-free graphs	1
On the Iwasawa theory of Cayley graphs	1
Wavelet estimation of a regression model with mixed noises	1
Toric varieties admitting an action of a unipotent group with a finite number of orbits	1
Loop space decompositions of $$(2n-2)$$-connected $$(4n-1)$$-dimensional Poincaré Duality complexes	1
On a conjecture about prime-detecting quasimodular forms	1
The Bloch–Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms	1
Primitive surfaces of curves in the Euclidean 3-space	1
Lattice sums of I-Bessel functions, theta functions, linear codes and heat equations	1
Free algebras of modular forms on ball quotients	1
Quantized convolutional neural networks through the lens of partial differential equations	1
Matroid products in tropical geometry	1
Usable boundary for visibility-based surveillance-evasion games	1
Monodromy of stratified braid groups, II	1
Inverse problems for some fractional equations with general nonlinearity	1
Global planar dynamics with a star node and contracting nonlinearity	1
Affine homogeneous varieties and suspensions	1
CM-values of p-adic $$\Theta $$-functions	1
The crossing numbers of amphicheiral knots	1
Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials	1
Distribution of rational points on toric varieties: all the heights	1
On the propulsion of a rigid body in a viscous liquid under the action of a time-periodic force	1
On the simplicial volume and the Euler characteristic of (aspherical) manifolds	1
The growth rate of multicolor Ramsey numbers of 3-graphs	1
Fully hyperbolic convolutional neural networks	1
PDE control: from classical to emerging themes and methods	0
A shape derivative algorithm for reconstructing elastic dislocations in geophysics	0
Uniform approximation rates and metric entropy of shallow neural networks	0
Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications	0
Closed orientable surfaces and fold Gauss maps	0
Residue class biases in unrestricted partitions, partitions into distinct parts, and overpartitions	0
Cohomological supports of tensor products of modules over commutative rings	0
Tight Hilbert polynomial and F-rational local rings	0
Lengths of maximal green sequences for tame path algebras	0
Bitangents to plane quartics via tropical geometry: rationality, $$\mathbb {A}^1$$-enumeration, and real signed count	0
Torsion in differentials and Berger’s conjecture	0
Serre duality for tame Deligne–Mumford stacks	0
On the growth of Fourier coefficientsof Siegel cusp forms of degree two	0
On towers of isogeny graphs with full level structures	0
On real algebraic links in the 3-sphere associated with mixed polynomials	0
Discontinuous Galerkin method with Voronoi partitioning for quantum simulation of chemistry	0
Derivatives of L-series of weakly holomorphic cusp forms	0
Automorphism groups and normal forms in Normaliz	0
On the exponential stability of the Moore–Gibson–Thompson–Gurtin–Pipkin thermoviscoelastic plate	0
$$\omega $$-Symplectic algebra and Hamiltonian vector fields	0
Multimodal sampling via approximate symmetries	0
Computational graph completion	0
Reeb spaces of smooth functions on manifolds II	0
Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal	0
Free boundary methods and non-scattering phenomena	0
A Riemannian mean field formulation for two-layer neural networks with batch normalization	0
On the valuative Nagata conjecture	0
Interacting particle systems and Jacobi style identities	0
Dynamics of a stochastic delayed predator-prey system with regime switching and jumps	0
Soficity for group actions on sets and applications	0

The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations	0
De Rham-Witt KZ equations	0
Synchrony patterns in Laplacian networks	0
Well-posedness and bilinear controllability of a repairable system with degraded state	0
On string functions and double-sum formulas	0
Remarks on potential mean field games	0
Duality and geometry of horocyclic evolutes in hyperbolic plane	0
Semi-galois categories III: Witt vectors by deformations of modular functions	0
Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media	0
Sandpile groups for cones over trees	0
Tropical adic spaces I: the continuous spectrum of a topological semiring	0
A Hilbert reciprocity law on 3-manifolds	0
The algebraic parts of the central values of quadratic twists of modular L-functions modulo $$\ell $$	0
Analytical formula for conditional expectations of path-dependent product of polynomial and exponential functions of extended Cox–Ingersoll–Ross process	0
Modular knots, automorphic forms, and the Rademacher symbols for triangle groups	0
Peacock patterns and resurgence in complex Chern–Simons theory	0
G-invariant Hilbert schemes on Abelian surfaces and enumerative geometry of the orbifold Kummer surface	0
On Kleinian mock modular forms	0
On lattice polarizable cubic fourfolds	0
Divisor-bounded multiplicative functions in short intervals	0
Integral representations of rank two false theta functions and their modularity properties	0
Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts	0
On Hasse norm principle for 3-manifolds in arithmetic topology	0
Explicit transformations of certain Lambert series	0
Evaluations and relations for finite trigonometric sums	0
Weyl formula for the eigenvalues of the dissipative acoustic operator	0
Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case	0
How does momentum benefit deep neural networks architecture design? A few case studies	0
On vanishing near corners of conductive transmission eigenfunctions	0
Reconstruction of a hypersurface singularity from its moduli algebra	0
Spectral $$\varvec{\zeta }$$-functions and $$\varvec{\zeta }$$-regularized functional determinants for regular Sturm–Liouville operators	0
The generic equivalence among the Lipschitz saturations of a sheaf of modules	0
Exact evaluations and reciprocity theorems for finite trigonometric sums	0
Identification of unbounded electric potentials through asymptotic boundary spectral data	0
Analyticity of Steklov eigenvalues of nearly hyperspherical domains in $${\mathbb {R}}^{d + 1}$$	0
Invariants of vanishing Brauer classes	0
Stability for quantitative photoacoustic tomography revisited	0
On the set of bad primes in the study of the Casas–Alvero conjecture	0
Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups	0
Linearity of free resolutions of monomial ideals	0
Approximation properties of deep ReLU CNNs	0
Higher derivatives of functions with given critical points and values	0
Asymptotics for the twisted eta-product and applications to sign changes in partitions	0
Topics on strict closure of rings	0
Multiplicities and mixed multiplicities of arbitrary filtrations	0
Newton lenses	0
The study of certain optimization problems via variational inequalities	0
Uniform stabilization in Besov spaces with arbitrary decay rates of the magnetohydrodynamic system by finite-dimensional interior localized static feedback controllers	0
Optimal tile-based self-assembly of DNA dipyramids and trapezohedrons	0
The Mori–Zwanzig formulation of deep learning	0
A deep learning algorithm for computing mean field control problems via forward-backward score dynamics	0
Exploring the combinatorics of pretzel links through grid diagrams	0
Zariski invariant for quasi-ordinary hypersurfaces	0
Euler obstruction, Brasselet number and critical points	0
Iwasawa invariants for symmetric square representations	0
Period-like polynomials for L-series associated with half-integral weight cusp forms	0
Developments in Commutative Algebra: In honor of Jürgen Herzog on the occasion of his 80th Birthday	0
Ruled surfaces along spacelike curves on lightcone in Minkowski 3-space	0
A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over $${\mathbb {Q}}$$	0
Isogenies of certain K3 surfaces of rank 18	0
The distribution of G-Weyl CM fields and the Colmez conjecture	0
On the analysis of the symmetrized mass-diffusive model for compressible fluids flows	0
Bruce–Roberts numbers and quasihomogeneous functions on analytic varieties	0
Modularity of moments of reciprocal sums for partitions into distinct parts	0
Mean field control problems for vaccine distribution	0
t-SNE, forceful colorings, and mean field limits	0
Sequentially Cohen–Macaulay binomial edge ideals of closed graphs	0
Mock Modularity In CHL Models	0
Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals	0
Identities on Zagier’s rank two examples for Nahm’s problem	0
Algebraic aspects of holomorphic quantum modular forms	0
Correction to: Fifty years of the Erdös similarity conjecture	0
Difference distance magic oriented graphs	0
On Ribet’s lemma for GL$$_2$$ modulo prime powers	0
Extensions of MacMahon’s sums of divisors	0
Shape and topology optimization of control problems in elasticity	0
Determining functionals and data assimilation and a novel regularity criterion for the three-dimensional navier–stokes equations	0
Saddle point braids of braided fibrations and pseudo-fibrations	0
Quantum Drinfeld modules and ray class fields of real quadratic global function fields	0
On the parity of coefficients of eta powers	0
Singularity properties of Lorentzian Darboux surfaces in Lorentz–Minkowski spacetime	0
Boundary and Eisenstein cohomology of $$G_2(\mathbb {Z})$$	0
Duality for Poincaré series of surfaces and delta invariant of curves	0
Lipschitz stability for an elliptic inverse problem with two measurements	0
The n-queens completion problem	0
Infinite families of crank functions, Stanton-type conjectures, and unimodality	0
Powers of componentwise linear ideals: the Herzog–Hibi–Ohsugi conjecture and related problems	0
Hilbert series of parallelogram polyominoes	0
Estimate for the largest zeros of the D’Arcais polynomials	0
Combinatorial multiple Eisenstein series	0
Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average	0
PDEs for machine learning	0
On the regularized risk of distributionally robust learning over deep neural networks	0
Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations	0
Special foliations on $$\mathbb {CP}^2$$ with a unique singular point	0