Representation theory studies how algebraic objects such as groups, algebras and monoids act by linear transformations on vector spaces. Central to this field are the notions of modules over ...

Unlike other elementary and middle school mathematics courses, algebra begins to introduce abstract relationships and ideas. While textbooks attempt to give students real-world illustrations of these ...

In March this year, the Japanese mathematician Masaki Kashiwara found out over a Zoom call that he had been awarded the Abel Prize, one of mathematics’ highest honours, for “his fundamental ...

Algebra teachers should show students both correctly and incorrectly solved problems and have students discuss them, according to a new algebra practice guide published by the U.S. Department of ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

Representation theory studies the ways in which abstract algebraic objects—groups, rings, algebras and categories—can act by linear transformations on vector spaces or modules. By encoding an ...