Geometric group theory and discrete mathematics intersect in the study of groups through the lens of geometric and combinatorial structures. At its core, geometric group theory probes how algebraic ...

Sam Raskin has wrapped his head around a math problem so complex it took five academic studies — and more than 900 pages — to solve. The results are a sweeping, game-changing math proof that was ...

Mathematics in Mesopotamia : Where did mathematics begin? ; Political history in Mesopotamia ; The number symbols ; Arithmetic operations ; Babylonian algebra ; Babylonian geometry ; The uses of ...

Complex geometry and manifold theory occupy a central position in modern mathematics, uniting differential topology, algebraic geometry and global analysis. At its heart is the notion of a complex ...

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 ...

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Development of software and databases supporting research in number theory and arithmetic geometry Fundamental research in arithmetic geometry inspired by computation and leading to new algorithms ...