Algebraic geometry has long provided a deep framework for understanding the solutions of polynomial equations through geometric lenses. In recent years, tropical geometry – a relatively young field – ...

One of the most prestigious awards in science is the "Nobel Prize". There is no need to explain this award in detail here, but you might know that mathematics is not included in its fields. One theory ...

Algebraic geometry is a branch of mathematics which, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of polynomials.

Wei Ho, the first director of the Women and Mathematics program at the Institute for Advanced Study, combines algebra and geometry in her work on an ancient class of curves. Like many people who would ...

Mathematics and physics share a close, reciprocal relationship. Mathematics offers the language and tools to describe physical phenomena, while physics drives the development of new mathematical ideas ...

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 algebraically ...

Alexander Grothendieck, one of the greatest mathematical minds of the twentieth century, died last Thursday (November 13). A recipient of the most prestigious honour in mathematics, the Fields medal, ...

Mathematicians have used pictures to solve equations ever since Pythagoras cooked up his famous theorem, but it wasn’t until the 20th century that the deep links between shapes and sums really came ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...