His purpose was to construct a calculus of operators which should yield all the irreducible concomitants of a set of algebraic forms.... ALGEBRAIC geometry, in spite of its beauty and importance, has ...

Algebraic structures—such as groups, rings, modules, Lie algebras and their generalisations—provide a unifying language for diverse areas of mathematics and theoretical physics. Cohomological methods ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

In engineering classrooms, the disconnect between rigorous mathematical concepts and their practical applications can hinder ...