Research in the Mathematical Sciences

Article	Citations
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay2	18
A note on complex plane curve singularities up to diffeomorphism and their rigidity	15
$$\lambda $$-Invariant stability in families of modular Galois representations	14
The Coven–Meyerowitz tiling conditions for three prime factors: the even case	14
Twisted Neumann–Zagier matrices	14
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs	14
Computing Camacho-Sad-Suwa indices of logarithmic vector fields relative to singular curves	12
Euler-type recurrences for t-color and t-regular partition functions	12
Splitting hypergeometric functions over roots of unity	12
Singularities of cuspidal edge composed with fundamental singularities from the three space to the three space	10
High-dimensional density estimation with tensorizing flow	10
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes	9
Generalized Hamiltonian systems on subvarieties: constant rank case	9
The variance and correlations of the divisor function in $${\mathbb {F}}_q [T]$$, and Hankel matrices	8
Quantum q-series and mock theta functions	8
On a new absolute version of Siegel’s lemma	8
Linking invariants for valuations and orderings on fields	8
Cohomology of complements of toric arrangements associated with root systems	7
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$	7
A second-order nonlocal approximation for Poisson model with Dirichlet boundary	7
A Kronecker limit formula for indefinite zeta functions	7
Powers of monomial ideals with characteristic-dependent Betti numbers	7
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	7
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	6
Learning generative neural networks with physics knowledge	6

A perturbation problem for transmission eigenvalues	6
Hochschild cohomology of symmetric groups and generating functions, II	6
Some remarks about $$ \rho $$-regularity for real analytic maps	6
Rational torsion of generalised modular Jacobians of odd level	6
Generative modeling via tree tensor network states	6
On gluing semigroups in $${\pmb {\mathbb {N}}}^n$$ and the consequences	5
Operator shifting for noisy elliptic systems	5
On the occurrence of complete intersections in shifted families of numerical semigroups	5
Fifty years of the Erdős similarity conjecture	5
Hook length biases and general linear partition inequalities	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	5
Uniqueness of conservative solutions for the Hunter–Saxton equation	5
Proceedings of the 17th International Workshop on Real and Complex Singularities	5
On the topology of complex projective hypersurfaces	4
Tight closure and strongly F-regular rings	4
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$	4
Quantitative covering and equidistribution	4
Milnor fibration theorem for differentiable maps	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
Total Stiefel Whitney classes for real representations of $${{\,\textrm{GL}\,}}_n$$ over $$\mathbb F_q, \mathbb R$$ and $$\mathbb C$$	4
Deep limits of residual neural networks	4
Extendable orthogonal sets of integral vectors	4
Correcting convexity bias in function and functional estimate	3
Laplacian smoothing gradient descent	3
Homotopy prefactorization algebras	3
Deep solution operators for variational inequalities via proximal neural networks	3
Denominator identity for the affine Lie superalgebra $$\widehat{\mathfrak {spo}}(2m,2m+1)$$ and indefinite theta functions	3
Helicoidal surfaces of frontals in Euclidean space as deformations of surfaces of revolution, with singularities	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
Certain squarefree levels of reducible modular mod $$\ell $$ Galois representations	3
On Lyapunov functions and particle methods for regularized minimax problems	3
Merge trees in discrete Morse theory	3
On the quantitative variation of congruence ideals and integral periods of modular forms	3
On the notion of sequentially Cohen–Macaulay modules	3
The topology of equivariant Hilbert schemes	3
Equiaffine structure on frontals	3
Image of iterated polynomial maps of the real plane	3
Non-Newtonian evolutes and involutes of multiplicative fronts in the multiplicative Euclidean plane	3
Euler equations in Sobolev conormal spaces	2
(Co)-Higgs bundles on non-Kähler elliptic surfaces	2
Elimination of $$B_2$$ singularities I	2
The Kloosterman circle method and weighted representation numbers of quadratic forms	2
Axisymmetric solutions of the shallow water equations with bottom topography	2
An unconditional equivariant main conjecture in Iwasawa theory and applications	2
Bi-Hölder equivalence of real analytic functions	2
Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries	2
The finite and solvable genus of finitely generated free and surface groups	2
Singularities of caustics of surfaces in non-flat Riemannian 4-space form$$^\dag $$	2

A geometric quantisation view on the AJ-conjecture for the Teichmüller TQFT	2
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems	2
On the time behavior of a porous thermoelastic system with only thermal dissipation given by Gurtin–Pipkin law	2
On unirational quartic hypersurfaces	2
Weighted polyhedral products and Steenrod’s problem	2
On character varieties of singular manifolds	2
Graph immersions of $${\mathbb {R}}^n$$ in $${\mathbb {R}}^{n+m}$$ making constant Jordan angles with a fixed subspace	2
Correction to: Deep limits of residual neural networks	2
Mandelbrot percolation and some of its generalizations: a survey	2
Operator theory on generalized Hartogs triangles	2
A duality result about special functions for Drinfeld modules of arbitrary rank	2
Effective Sato–Tate distributions for surfaces arising from products of elliptic curves	2
Extremal solutions for periodic problems of fractional impulsive evolution equation with piecewise Caputo derivative	2
Correction to: Period-like polynomials for L-series associated with half-integral weight cusp forms	2
Limitations to equidistribution in arithmetic progressions	2
Complexity of chess domination problems	2
Natural model reduction for kinetic equations	2
On the p-adic values of the weight two Eisenstein series for supersingular primes	2
Inverse problem for a time-dependent convection–diffusion equation in admissible geometries	2
Quantized convolutional neural networks through the lens of partial differential equations	1
Wavelet estimation of a regression model with mixed noises	1
Fully hyperbolic convolutional neural networks	1
On the Iwasawa theory of Cayley graphs	1
On the generalized fractal calculus of variations	1
On a conjecture about prime-detecting quasimodular forms	1
CM-values of p-adic $$\Theta $$-functions	1
The crossing numbers of amphicheiral knots	1
Global planar dynamics with a star node and contracting nonlinearity	1
On the simplicial volume and the Euler characteristic of (aspherical) manifolds	1
Lê-Greuel-type formulas for some mappings from $$(\mathbb {R}^n,0)$$ to $$(\mathbb {R}^2,0)$$	1
Primal–dual hybrid gradient algorithms for computing time-implicit Hamilton–Jacobi equations	1
Side effects of learning from low-dimensional data embedded in a Euclidean space	1
A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra	1
Homology in combinatorial refraction billiards	1
Primitive surfaces of curves in the Euclidean 3-space	1
The growth rate of multicolor Ramsey numbers of 3-graphs	1
Monodromy of stratified braid groups, II	1
Dual relations between line congruences in $$\mathbb {R}^3$$ and surfaces in $$\mathbb {R}^4$$	1
Matroid products in tropical geometry	1
Existence of entire solutions vanishing at infinity by positive drift	1
Toric varieties admitting an action of a unipotent group with a finite number of orbits	1
Affine homogeneous varieties and suspensions	1
Loop space decompositions of $$(2n-2)$$-connected $$(4n-1)$$-dimensional Poincaré Duality complexes	1
On the propulsion of a rigid body in a viscous liquid under the action of a time-periodic force	1
Powers of graphs & applications to resolutions of powers of monomial ideals	1
Multi-component separation, inpainting and denoising with recovery guarantees	1
Free algebras of modular forms on ball quotients	1
Good real pictures of corank one map germs from the n-space to the $$(n+1)$$-space	1
Distribution of rational points on toric varieties: all the heights	1
The $$\mu $$-invariant change for abelian varieties over finite p-extensions of global fields	1
Towards the Erdős-Hajnal conjecture for $$P_5$$-free graphs	1
Usable boundary for visibility-based surveillance-evasion games	1
On the irrationality of certain p-adic zeta values	1
Corrigendum to “Harmonic analysis and statistics of the first Galois cohomology group”	1
Algebraic properties of Levi graphs associated with curve arrangements	1
The Bloch–Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms	1
Inverse problems for some fractional equations with general nonlinearity	1
Lattice sums of I-Bessel functions, theta functions, linear codes and heat equations	1
Stabilization of a nonlinear hyperbolic/parabolic system	1
Point configurations in sets of sufficient topological structure and a topological Erdős similarity conjecture	1
Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions	1
On consecutive greedy and other greedy-like type of bases	1
On singular moduli for higher rank Drinfeld modules	1
Peacock patterns and resurgence in complex Chern–Simons theory	0
Determining functionals and data assimilation and a novel regularity criterion for the three-dimensional navier–stokes equations	0
On vertices and inflections of singular plane curves	0
Conformally invariant skew curves for the total skew curvature on surfaces of $$\mathbb {R}^3$$	0
Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications	0
On the set of bad primes in the study of the Casas–Alvero conjecture	0
Algebraic aspects of holomorphic quantum modular forms	0
De Rham-Witt KZ equations	0
Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups	0
On Hasse norm principle for 3-manifolds in arithmetic topology	0
Lipschitz stability for an elliptic inverse problem with two measurements	0
Milnor tube fibrations of composite map germs	0
On the parity of coefficients of eta powers	0
Matching cross-cap singularities of Gutierrez–Sotomayor flows	0
Sandpile groups for cones over trees	0
Exponential stabilization for a piezoelectric beam with degenerate viscoelastic memory and time-varying delay	0
Difference distance magic oriented graphs	0

Sequentially Cohen–Macaulay binomial edge ideals of closed graphs	0
Uniform stabilization in Besov spaces with arbitrary decay rates of the magnetohydrodynamic system by finite-dimensional interior localized static feedback controllers	0
Hilbert series of parallelogram polyominoes	0
Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal	0
Local well-posedness of the equations governing the motion of a fluid-filled elastic solid	0
On lattice polarizable cubic fourfolds	0
Tropical adic spaces I: the continuous spectrum of a topological semiring	0
Identification of unbounded electric potentials through asymptotic boundary spectral data	0
Quantum Drinfeld modules and ray class fields of real quadratic global function fields	0
Duality for Poincaré series of surfaces and delta invariant of curves	0
On towers of isogeny graphs with full level structures	0
Analyticity of Steklov eigenvalues of nearly hyperspherical domains in $${\mathbb {R}}^{d + 1}$$	0
On the valuative Nagata conjecture	0
Multiplicities and mixed multiplicities of arbitrary filtrations	0
A deep learning algorithm for computing mean field control problems via forward-backward score dynamics	0
On some indices of foliations and applications	0
Mock Modularity In CHL Models	0
Period-like polynomials for L-series associated with half-integral weight cusp forms	0
Height functions on singular surfaces parameterized by smooth maps $$\mathcal {A}$$-equivalent to $$S_k$$, $$B_k$$, $$C_k$$ and $$F_4$$	0
Pinned dot product set estimates	0
Synchrony patterns in Laplacian networks	0
Tight Hilbert polynomial and F-rational local rings	0
Modularity of moments of reciprocal sums for partitions into distinct parts	0
Duality and geometry of horocyclic evolutes in hyperbolic plane	0
Biharmonic curve in roto-translation group	0
Estimate for the largest zeros of the D’Arcais polynomials	0
Multimodal sampling via approximate symmetries	0
Derivatives of L-series of weakly holomorphic cusp forms	0
Shape and topology optimization of control problems in elasticity	0
Identities on Zagier’s rank two examples for Nahm’s problem	0
The n-queens completion problem	0
Stability for quantitative photoacoustic tomography revisited	0
A kernel formula for regularized Wasserstein proximal operators	0
Interacting particle systems and Jacobi style identities	0
On real algebraic links in the 3-sphere associated with mixed polynomials	0
Boundary and Eisenstein cohomology of $$G_2(\mathbb {Z})$$	0
Extensions of MacMahon’s sums of divisors	0
Reconstruction of a hypersurface singularity from its moduli algebra	0
Divisor-bounded multiplicative functions in short intervals	0
On string functions and double-sum formulas	0
The versal deformation of elliptic m-fold point curve singularities	0
Approximate incidence geometry in the plane	0
Explicit transformations of certain Lambert series	0
Powers of componentwise linear ideals: the Herzog–Hibi–Ohsugi conjecture and related problems	0
Remarks on potential mean field games	0
t-SNE, forceful colorings, and mean field limits	0
Automorphism groups and normal forms in Normaliz	0
Euler obstruction, Brasselet number and critical points	0
On Ribet’s lemma for GL$$_2$$ modulo prime powers	0
The algebraic parts of the central values of quadratic twists of modular L-functions modulo $$\ell $$	0
Linearity of free resolutions of monomial ideals	0
Hypergeometric distributions and joint families of elliptic curves	0
Semi-galois categories III: Witt vectors by deformations of modular functions	0
Analytic continuation of Kochubei multiple polylogarithms and its applications	0
Topological representations of free numerical semigroups via iterated torus knots	0
Special foliations on $$\mathbb {CP}^2$$ with a unique singular point	0
The generic equivalence among the Lipschitz saturations of a sheaf of modules	0
Algebraic local cohomology for mixed modules and its application to singularity theory	0
The Mori–Zwanzig formulation of deep learning	0
Uniform approximation rates and metric entropy of shallow neural networks	0
Iwasawa invariants for symmetric square representations	0
On the analysis of the symmetrized mass-diffusive model for compressible fluids flows	0
Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals	0
A Hilbert reciprocity law on 3-manifolds	0
Closed orientable surfaces and fold Gauss maps	0
Zariski invariant for quasi-ordinary hypersurfaces	0
Approximation properties of deep ReLU CNNs	0
Ruled surfaces along spacelike curves on lightcone in Minkowski 3-space	0
Saddle point braids of braided fibrations and pseudo-fibrations	0
A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over $${\mathbb {Q}}$$	0
PDEs for machine learning	0
The distribution of G-Weyl CM fields and the Colmez conjecture	0
Exact evaluations and reciprocity theorems for finite trigonometric sums	0
Serre duality for tame Deligne–Mumford stacks	0
A shape derivative algorithm for reconstructing elastic dislocations in geophysics	0
On the exponential stability of the Moore–Gibson–Thompson–Gurtin–Pipkin thermoviscoelastic plate	0
Discontinuous Galerkin method with Voronoi partitioning for quantum simulation of chemistry	0
Bruce–Roberts numbers and quasihomogeneous functions on analytic varieties	0
Asymptotics for the twisted eta-product and applications to sign changes in partitions	0
Optimal tile-based self-assembly of DNA dipyramids and trapezohedrons	0
Cohomological supports of tensor products of modules over commutative rings	0
The largest slice of fractal percolation	0
Soficity for group actions on sets and applications	0
On the regularized risk of distributionally robust learning over deep neural networks	0
Evaluations and relations for finite trigonometric sums	0
A Riemannian mean field formulation for two-layer neural networks with batch normalization	0
Computational graph completion	0
$$\omega $$-Symplectic algebra and Hamiltonian vector fields	0
Combinatorial multiple Eisenstein series	0
Reeb spaces of smooth functions on manifolds II	0
Semialgebraic Lipschitz equivalence of polynomial functions	0
The Bruce–Roberts numbers of 1-forms on an ICIS	0
Invariants of vanishing Brauer classes	0
Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations	0
Newton lenses	0