Complex geometry, a rich interlace of algebra, analysis and geometry, continues to unveil surprising interconnections between abstract theories and practical applications. At its core, the study of ...

The field of complex geometry, intertwined with Lie theory, represents a vibrant area where algebraic and differential techniques converge to unravel the structure of complex manifolds and their ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

Researchers have developed an efficient new way to quickly analyze complex geometric models by borrowing a computational approach that has made photorealistic animated films possible. Researchers at ...

Before starting this guide, it may be helpful to read the guide from Module 3 (M3) on perimeter, area and volume involving sectors, cylinders, cones and spheres. \(\text{area} = ...

Mathematicians have proved a key building block of the Langlands programme, sometimes referred to as a “grand unified theory” of maths due to the deep links it proposes between seemingly distant ...

Decades of research has viewed DNA as a sequence-based instruction manual; yet every cell in the body shares the same genes – so where is the language that writes the memory of cell identities?

PITTSBURGH--Researchers at Carnegie Mellon University have developed an efficient new way to quickly analyze complex geometric models by borrowing a computational approach that has made photorealistic ...