I've reached the cosmology part of my General Relativity (GR) course, and one of the early points that comes up is my traditional rant against confusing three very distinct concepts when thinking ...

Hyperplane arrangements lie at the confluence of algebraic geometry, topology and combinatorics, offering a multifaceted arena in which algebraic methods illuminate topological invariants and vice ...

In the computer vision field of object detection, deep learning models are trained to identify objects of interest within an image of a scene. For example, such models can be trained to detect viruses ...

When students are genuinely curious about new concepts and ideas, they develop their own study skills, says Pekka Pankka, professor and teacher in the specialization. Geometry, Algebra, and Topology ...

The self-assembly of objects with a set of desired properties is a major goal of material science and physics. A particularly challenging problem is that of self-assembling structures with a target ...

Modern redshift surveys such as the 2 degree field Galaxy Redshift Survey (2dFGRS) and the Sloan Digital Sky Survey (SDSS) reveal fully 3-dimensional distribution of 105–6 galaxies over a large ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...