Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. ... Yields for each field are ⅔ gallon of grain per square yard and ½ gallon per square yard.

Algebraic number fields: finiteness of the class number, Dirichlet unit theorem, splitting of prime ideals in an extension field, ramification. Galois extensions of number fields. Topics in quadratic, ...

Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis. Skip to main content. Scientific American. March 26, 2025. 7 min read.

That’s fascinating work revealing how algebraic topology is making an important contribution toward a better understanding of the connectome. Like all good science, this work raises as many ...

Algebraic geometry, the study of solutions to polynomial equations and their geometric properties, finds rich interplay with class field theory—a branch of number theory that classifies abelian ...

The Algebra Problem: How Middle School Math Became a National Flashpoint Top students can benefit greatly by being offered the subject early. But many districts offer few Black and Latino eighth ...

Representation theory transforms abstract algebra groups into things like simpler matrices. The field’s founder left a list of 43 problems for others to study, iterate on, and prove.

Our Research. Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an ...

Professor Praeger was named in The Australian’s 2019 Research magazine as Australia’s leading researcher in the field of algebra. The Australian’s partner, ...