Algebra is a branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these symbols. It involves various operations such as addition, subtraction, multiplication, and division, as well as the study of variables and equations. Algebra is used in many fields of mathematics and science, including geometry, calculus, physics, and computer science. Research in algebra focuses on understanding abstract algebraic structures, solving equations, and developing new techniques and applications in various areas of mathematics and science.