Invariant distances lie at the heart of complex geometry, providing intrinsic measures of separation between points in complex manifolds that remain unchanged under biholomorphic mappings. Chief ...

Complex geometry studies spaces that locally resemble complex coordinate systems and examines their intrinsic curvature and topological properties. Central to this field is Kähler geometry, where a ...

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 ...

Researchers at DeepMind, the artificial intelligence research division of Alphabet Inc., have created software that’s able to solve difficult geometry proofs that are often used to test the brightest ...

The geometry and topology group at UB is traditionally strong in research and mentoring. Our faculty work in the areas of algebraic topology, complex geometry, differential geometry, geometric group ...

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Researchers are adding a new wrinkle to a long-held belief about what causes earthquakes in the first place. Findings published in Nature by a team of Brown-led researchers challenge traditional ...