Group theory is the mathematical study of symmetry and structure, forming one of the cornerstones of modern algebra. Emerging from early investigations into polynomial equations and the permutations ...

It's been more than 20 years since Rubik's Cube, the maddening, multicolored brainchild of a Hungarian architect teacher, hit the American market full force. Now, two decades after the cube craze ...

Group Theory and Ring Theory form two enduring pillars of modern algebra, each offering profound insights into symmetry, structure, and operations. Group Theory focuses on the study of sets equipped ...

The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...

A new breakthrough that bridges number theory and geometry is just the latest triumph for a close-knit group of mathematicians. One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook ...

A survey of contemporary topics in mathematics such as: voting systems and power, apportionment, fair division of divisible and indivisible assets, efficient distribution, scheduling and routing, ...

In the words of Imre Leader, a Professor at the Cambridge University: "The fundamental kind of question Ramsey theory asks is: can one always find order in chaos? If so, how much? Just how large a ...