The field of algebraic geometry investigates the profound interplay between polynomial equations and geometric structures, providing a rich framework that unites abstract theory with practical ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

“Topology is the study of whether there are holes in a space,” says mathematician Dennis Sullivan of the City University of New York Graduate Center. He just won one of the most prestigious awards in ...