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 ...

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 ...

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

When students are genuinely curious about new concepts and ideas, they develop their own study skills, says Professor Pekka Pankka. Geometry, Algebra, and Topology are pure mathematics and essential ...

In this course we will consider the structure of (infinite) groups. For this, we will study actions of groups on interesting topological and metric spaces. The geometry of these spaces can be used to ...

An array of fundamental and unanswered questions in mathematics lie at the intersection of geometry and topology. With a 60 million kroner grant from the Danish National Research Foundation to ...

Soft matter is a truly interdisciplinary field of study encompassing an ever-broadening array of subjects, ranging from elasticity, complex fluids, and metamaterials to physics of living matter and ...