“The American Mathematical Society president said it was 'rigorous, correct, and elegant.'”

“The paper proposes local approximations to the global Minkowski Hamiltonian in quantum field theory (QFT) motivated by the operator-algebraic property of nuclearity.”

“The paper classifies the irreducible components of V(d,n), gives criteria for the ideal I(d,n) to be prime or a complete intersection, and for the variety V(d,n) to be normal. It also gives near-equivalent conditions for V(d,n) to be factorial.”

“The paper proves an orbifold type decomposition theorem and shows that the total Hochschild homology is isomorphic to a symmetric algebra.”

“The discrete period matrix admits the same canonical decomposition $Π= rac{1}{2} H + i T$ as in the smooth setting, where $H$ encodes the topological type and $T$ is purely imaginary.”

“If a finitely generated VI^m-module is generated in degree ≤ d and related in degree ≤ r, then its regularity is bounded above by a function of m, d, and r.”

“The paper determines the splitting field and a set of 68 linearly independent generators for the Mordell--Weil lattice of the elliptic surface.”

“The paper characterizes the general form of bijective linear maps that preserve Lie products and operator products equal to fixed elements.”

“The paper shows that commutative Frobenius pseudomonoids in the bicategory of spans are in correspondence with 2-Segal cosymmetric sets.”

“We show that such structures are in general non-proper.”

“Each such variety is irreducible and admits a rational parametrization. The assignment is functorial: algebra quotients correspond to monomial maps among the varieties.”

“The introduction of the 'Darboux family' as a tool for studying r-matrices in four-dimensional indecomposable coboundary Lie bialgebras.”

“The paper parametrizes composition algebras, Freudenthal algebras, and involutions of the second kind.”

“For any objective with log-sum-exp structure over distances or energies, the gradient with respect to each distance is exactly the negative posterior responsibility of the corresponding component: $\partial L / \partial d_j = -r_j$.”

“The paper investigates the Gelfand theory of the algebra and discusses properties of the Fourier transform of operators arising from the Gelfand transform.”

“The paper shows a relation to Hurwitz numbers which count ramified coverings of certain type.”

“The paper finds a partial extension of Poincaré duality theorem to hypersurfaces obtained by non-primitive Viro's combinatorial patchworking.”

“The paper determines generalised Chebyshev-like forms for the determinants of gram matrices of contravariant forms for standard modules.”

“HOLOGRAPH provides rigorous mathematical foundations while achieving competitive performance on causal discovery tasks.”

“The paper presents the main ideas and techniques involved in the linear versions of several conjectures, including the Shafarevich conjecture and Kollár's conjecture.”

“The paper introduces skein-type identities expressing cluster variables associated with incompatible curves on a surface in terms of cluster variables corresponding to compatible arcs.”

“The paper examines a Bruhat decomposition related to the Shalika subgroup of GL(2n).”

“The paper identifies the tangent map with the dual HKR map and proves liftability along square-zero extensions to be a derived invariant.”

“The paper builds examples of real space sextics with 64 and 120 totally real tritangents.”

“The paper proposes a candidate for compactifying moduli spaces of principal bundles for the orthogonal and symplectic groups.”

“The paper proposes list and unique decoding algorithms for TGRS codes and Roth-Lempel codes based on the Guruswami-Sudan algorithm, achieving near-linear running time.”

“The novelty of this work is two-fold: extending the catalogue of known optimal RMRAs and formulating a sub-optimal RMRA that abides by CFEs.”

“All models are exactly-solvable, admit algebraic forms for the Hamiltonian and integrals, have polynomial eigenfunctions, hidden algebraic structure, and possess a polynomial algebra of integrals.”

“The article's title indicates it is part of a series focusing on moduli of surfaces fibered in (log) Calabi-Yau pairs.”

“Hojabr integrates relational algebra, tensor algebra, and constraint-based reasoning within a single higher-order algebraic framework.”

“The paper provides explicit code parameters and properties as well as some additional bounds on parameters such as rank and distance.”

“NeuroSPICE's flexibility enables the simulation of emerging devices, including highly nonlinear systems such as ferroelectric memories.”

“”

“”

“”

“The paper classifies the centrality and commutativity of skew-polynomial algebras depending on the Lie type and the order of the root of unity.”

“The paper likely contributes to the understanding of supersymmetric quantum field theories.”

“The paper proves that the family of Bethe subspaces extends regularly to the minimal wonderful model of the toric arrangement.”

“”

“”

“”

“The paper likely presents novel constructions or classifications within the realm of differential $\mathbb Z$-graded varieties.”

“Any tropical circuit calculating the optimal value of a Traveling Salesperson round tour uses at least $2^{Ω(k \log \log k)}$ gates.”

“”

“”

“”

“The paper shows that the equational theory of relational Kleene algebra with graph loop is PSpace-complete.”

“”

“”

“The paper validates the new 3-crossed module structure by proving that the induced simplicial set forms a quasi-category and that the Moore complex of length 3 associated with a simplicial group naturally admits the structure of the proposed 3-crossed module.”