Complex analysis and the geometry of domains represent a vibrant interdisciplinary area that amalgamates tools from pure mathematics with practical applications. This field investigates the properties ...

Complex geometry and algebraic geometry are intertwined disciplines that investigate spaces defined by complex analytic structures and polynomial equations. Complex geometry focuses on complex ...

Reducing redundant information to find simplifying patterns in data sets and complex networks is a scientific challenge in many knowledge fields. Moreover, detecting the dimensionality of the data is ...

Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry.

Peter Badge. Mathematics often feels like a collection of isolated islands. Each one operates with its own rules, and ...

The grandest project in mathematics has received a rare gift, in the form of a mammoth 350-page paper posted in February that will change the way researchers around the world investigate some of the ...