Black hole and Big Bang singularities break our best theory of gravity. A trilogy of theorems hints that physicists must go ...

ABSTRACT: Let Δ be a (d ? 1)-dimensional pure f -simplicial complex over vertex set [n]. In this paper, it is proved that Δ being minimal CM implies d ≥ 3 and n = 2 d. It is also indicated that ...

Our work group represents the fields of operator algebras and noncommutative geometry in teaching and research. The current focus of our research is structure of C * algebras and more general ...

The primary source code repository for Macaulay2, a system for computing in commutative algebra, algebraic geometry and related fields.

Main purpose of the GeometRi library is manipulations with basic geometrical primitives, such as point, line, plane, sphere, triangle in 3D space: translation and rotation operations, distance ...

Department of Mathematics, University of California, San Diego, La Jolla, CA 92093, USA Research supported in part by NSF grant #DMS84-09557 and ONR contract #N00014-85-K-0367.

Computer Science Division, Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, California 94720, USA ...