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 ...

Homological algebra and module theory constitute a vibrant area of contemporary mathematics, interweaving concepts from algebra, topology and geometry. At its core, homological algebra studies chain ...

Michael Freedman’s momentous 1981 proof of the four-dimensional Poincaré conjecture was on the verge of being lost. The editors of a new book are trying to save it. One of the most important pieces of ...

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 ...

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 ...

The analysis group works on a variety of themes of modern analysis including: Harmonic analysis on n-dimensional Euclidean space, Harmonic analysis on Lie groups, abstract harmonic analysis, operator ...

Materials scientists visually inspect the size, number, and distribution of precipitates to help understand how process parameters affect the structure of a material. By looking at the image at ...