Homological algebra and representation theory form a powerful confluence in modern mathematics. Homological algebra provides a framework for analysing algebraic structures via chain complexes, ...

Algebraic representation theory and cluster categories constitute a vibrant research area that bridges abstract algebra, category theory and combinatorics. In this field, algebraic structures are ...

Transactions of the American Mathematical Society, Vol. 149, No. 2 (Jun., 1970), pp. 503-537 (35 pages) We construct a general class of Banach algebras which include as special cases the group algebra ...

It is shown that the automorphism group of a relation algebra ${\cal B}_P$ constructed from a projective geometry P is isomorphic to the collineation group of P. Also, the base automorphism group of a ...

University of Chicago mathematicians Alexander Beilinson and Vladimir Drinfeld have been awarded the prestigious Wolf Prize for Mathematics “for their groundbreaking work in algebraic geometry, ...

The Structure and Symmetry theme comprises researchers in algebra, geometry and topology, together with their interactions with computer science, and in mathematical physics, together with its ...

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 ...

John Graf, Ph.D., is an assistant professor in the Department of Mathematical Sciences at the University of Delaware. He received his Ph.D. in mathematics in 2025 from North Carolina State University.

This course seeks to support students in furthering their understanding of elementary mathematics concepts. The goal is for students to not only pass the MTEL for elementary mathematics, but to lay ...