2022 IEEE/ACM Workshop on Irregular Applications: Architectures and Algorithms (IA3) Decomposing sparse matrices into lower and upper triangular matrices (sparse LU factorization) is a key operation ...

We introduce a higher dimensional generalization of the affine Kac–Moody algebra using the language of factorization algebras. In particular, on any complex manifold there is a factorization algebra ...

Abstract: The Corona Factorization Property, originally invented to study extensions of C*-algebras, conveys essential information about the intrinsic structure of the C*-algebra. We show that the ...

Abstract: In his doctoral dissertation in 1797, Gauss proved the fundamental theorem of algebra, which states that any one-dimensional (1-D) polynomial of degree n with complex coefficients can be ...

Factorization algebras are local-to-global objects that play a role in classical and quantum field theory which is similar to the role of sheaves in geometry: they conveniently organize complicated ...

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