What is Chromatic homotopy theory?

The membrane theory of shells, or membrane theory for short, describes the mechanical properties of shells when twisting and bending moments are small enough to be negligible. The spectacular simplification...

Viability theory is an area of mathematics that studies the evolution of dynamical systems under constraints on the system state. It was developed to formalize problems arising in the study...

In mathematics, differential Galois theory studies the Galois groups of differential equations.

In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions in relation to groups. It was proved by Évariste...

In the mathematical area of order theory, there are various notions of the common concept of distributivity, applied to the formation of suprema and infima. Most of these apply to...

In mathematics, computational group theory is the study ofgroups by means of computers. It is concernedwith designing and analysing algorithms anddata structures to compute information about groups. The subjecthas attracted...

In category theory, a Lawvere theory is a category that can be considered a categorical counterpart of the notion of an equational theory.

In mathematics, particularly the area of topology, a simple-homotopy equivalence is a refinement of the concept of homotopy equivalence. Two CW-complexes are simple-homotopy equivalent if they are related by a...

In mathematics, a weak equivalence is a notion from homotopy theory that in some sense identifies objects that have the same "shape". This notion is formalized in the axiomatic definition...

Many first principles in quantum field theory are explained, or get further insight, in string theory.