Research in the Mathematical Sciences

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 2022-06-01 to 2026-06-01.)
ArticleCitations
$$\lambda $$-Invariant stability in families of modular Galois representations18
Computing $$\mathbb {A}^1$$-Euler numbers with Macaulay218
Twisted Neumann–Zagier matrices17
Computing Camacho-Sad-Suwa indices of logarithmic vector fields relative to singular curves16
Euler-type recurrences for t-color and t-regular partition functions16
The set-theoretic Yang–Baxter equation, Kimura semigroups and functional graphs15
Splitting hypergeometric functions over roots of unity15
The Coven–Meyerowitz tiling conditions for three prime factors: the even case13
A 6-functor formalism for $${\mathbb {Z}}_\ell $$- and $$\mathbb {Q}_\ell $$-sheaves on diamonds12
High-dimensional density estimation with tensorizing flow11
Singularities of cuspidal edge composed with fundamental singularities from the three space to the three space11
A note on complex plane curve singularities up to diffeomorphism and their rigidity11
Generalized Hamiltonian systems on subvarieties: constant rank case10
On a new absolute version of Siegel’s lemma9
Quantum q-series and mock theta functions9
The variance and correlations of the divisor function in $${\mathbb {F}}_q [T]$$, and Hankel matrices8
Linking invariants for valuations and orderings on fields7
A Kronecker limit formula for indefinite zeta functions7
Solving multiscale steady radiative transfer equation using neural networks with uniform stability7
Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes7
A second-order nonlocal approximation for Poisson model with Dirichlet boundary6
A note on higher Green’s functions6
The rational torsion subgroup of $$J_0(\mathfrak {p}^r)$$6
A conjecture of Warnaar-Zudilin from deformations of lie superalgebras5
Rational torsion of generalised modular Jacobians of odd level5
On the coefficients estimate of K-quasiconformal harmonic mappings5
Galois descent theorem in general categories5
Hypergeometric decomposition of Delsarte K3 pencils5
Hochschild cohomology of symmetric groups and generating functions, II5
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves5
Some remarks about $$ \rho $$-regularity for real analytic maps5
Generative modeling via tree tensor network states5
Affine toric surfaces and Whitney stratification5
Operator shifting for noisy elliptic systems4
Fifty years of the Erdős similarity conjecture4
Hook length biases and general linear partition inequalities4
Certain invertible operator-block matrices induced by $$C^{*}$$-algebras and scaled hypercomplex numbers4
Rates of convergence for Laplacian semi-supervised learning with low labeling rates4
Proceedings of the 17th International Workshop on Real and Complex Singularities4
Milnor fibration theorem for differentiable maps3
Total Stiefel Whitney classes for real representations of $${{\,\textrm{GL}\,}}_n$$ over $$\mathbb F_q, \mathbb R$$ and $$\mathbb C$$3
Deep limits of residual neural networks3
Representations of integers as sums of four polygonal numbers and partial theta functions3
Laplacian smoothing gradient descent3
Higher-order group synchronization3
Nonvanishing of L-functions and Poincaré series for Jacobi forms of matrix index3
Quantitative covering and equidistribution3
Equivariant cohomology for cyclic groups of square-free order3
Correcting convexity bias in function and functional estimate3
Extendable orthogonal sets of integral vectors3
On p-adic L-functions for symplectic representations of $$\text {GL}(N)$$ over number fields3
On the topology of complex projective hypersurfaces3
Tight closure and strongly F-regular rings3
Evolutes of lightcone framed curves in de Sitter 2-space3
Geometry of the parabolic subset of generically immersed 3-manifolds in $$\mathbb {R}^4$$3
Helicoidal surfaces of frontals in Euclidean space as deformations of surfaces of revolution, with singularities3
On the notion of sequentially Cohen–Macaulay modules3
On the p-adic values of the weight two Eisenstein series for supersingular primes2
An unconditional equivariant main conjecture in Iwasawa theory and applications2
(Co)-Higgs bundles on non-Kähler elliptic surfaces2
The Kloosterman circle method and weighted representation numbers of quadratic forms2
Image of iterated polynomial maps of the real plane2
Non-Newtonian evolutes and involutes of multiplicative fronts in the multiplicative Euclidean plane2
On the Saito basis for plane curves2
Merge trees in discrete Morse theory2
On Triple Quadratic Residue Symbols in Real Quadratic Fields2
Effective Sato–Tate distributions for surfaces arising from products of elliptic curves2
Mandelbrot percolation and some of its generalizations: a survey2
A quadratic form generalization of rational dinv2
Voronoï summation formula for the generalized divisor function $$\sigma _{z}^{(k)}(n)$$2
Denominator identity for the affine Lie superalgebra $$\widehat{\mathfrak {spo}}(2m,2m+1)$$ and indefinite theta functions2
On the quantitative variation of congruence ideals and integral periods of modular forms2
Invariants of the quartic binary form and proofs of Chen’s conjectures on inequalities for the partition function and the Andrews’ spt function2
Homotopy prefactorization algebras2
Certain squarefree levels of reducible modular mod $$\ell $$ Galois representations2
On the time behavior of a porous thermoelastic system with only thermal dissipation given by Gurtin–Pipkin law2
Graph immersions of $${\mathbb {R}}^n$$ in $${\mathbb {R}}^{n+m}$$ making constant Jordan angles with a fixed subspace2
A duality result about special functions for Drinfeld modules of arbitrary rank2
Performance assessment of the maximum likelihood ensemble filter and the ensemble Kalman filters for nonlinear problems2
A canonical generator for congruence ideals of Hida families2
Equiaffine structure on frontals2
Deep solution operators for variational inequalities via proximal neural networks2
Proceedings of the 18th international workshop on real and complex singularities2
The topology of equivariant Hilbert schemes2
Elimination of $$B_2$$ singularities I2
Extremal solutions for periodic problems of fractional impulsive evolution equation with piecewise Caputo derivative2
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