Knot theory, a branch of topology, examines the intricate properties of closed curves embedded in three-dimensional space. At its core is the study of knot invariants—quantitative measures that remain ...

When Lisa Piccirillo solved a decades-old mystery about the “Conway knot,” she had to overcome the knot’s uncanny ability to hoodwink some of the most powerful tools mathematicians have devised. Known ...

Mathematical thinking is crucial in all areas of computer science: algorithms, bioinformatics, computer graphics, data science, machine learning, etc. In this course, we will learn the most important ...

A combination of transformations can sometimes be described using a single transformation, eg when a shape is transformed by two consecutive translations, the result can be expressed as a single ...