Algebra often involves manipulating numbers or other objects using operations like addition and multiplication. Flavio Coelho/Moment via Getty Images You scrambled up a Rubik’s cube, and now you want ...

Category theory, K theory and homological algebra are interrelated branches of mathematics that comprise a powerful conceptual framework for studying structures and their interconnections. Category ...

You can do a lot of electronics without ever touching a tensor, but there are some situations in which tensors are absolutely essential. The problem is that most math texts give you a very dry ...

Algebraic stacks and moduli spaces constitute fundamental frameworks in modern algebraic geometry for classifying geometric objects up to isomorphism. By extending traditional schemes to incorporate ...

This lively journal is produced five times per year and includes contributions from mathematics practitioners. It reflects the best of current thinking and practice. In addition to articles covering ...

Current Projects • EXC 2044 - T01: K-Groups and cohomology K-groups and cohomology groups are important invariants in different areas of mathematics, from arithmetic geometry to geometric topology to ...

THE roots of algebra, as John Derbyshire tells us, go back to the ancient world: the Babylonians left cuneiform tablets showing simple algebraic problems. Its actual birth is usually credited to ...

You scrambled up a Rubik's cube, and now you want to put it back in order. What sequence of moves should you make? Surprise: You can answer this question with modern algebra. Most folks who have been ...