Algebraic topology and homotopy theory constitute central areas of contemporary mathematics, exploring spaces through algebraic invariants and continuous deformations. Techniques in this field ...

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 ...

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 ...

Math students this side of Central Square just found one more reason to be excited: Michael J. Hopkins, an MIT professor of mathematics specializing in algebraic topology will join the Faculty of Arts ...

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 ...

Arunas Liulevicius taught mathematics for 50 years at the University of Chicago, where he twice earned the school’s Llewellyn John and Harriet Manchester Quantrell Award for Excellence in ...

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 ...