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 the recent work by ...

Using a relatively young theory, a team of mathematicians has started to answer questions whose roots lie at the very ...

Commutative algebra and algebraic geometry form a deeply interwoven field that investigates the structure of polynomial rings, their ideals, and the geometric objects defined by these algebraic sets.

Combinatorial algebraic geometry sits at the intersection of discrete mathematics and algebraic geometry, exploring the deep interplay between algebraic structures and combinatorial methodologies.

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 ...

The manic pace of sharing, storing, securing, and serving data has a manic price—power consumption. To counter this, Virginia Tech mathematicians are leveraging algebraic geometry to target the ...

For the statistical stochastic models with hierarchical structure such as Deep networks, Gaussian mixture models and hidden Markov models, algebraic geometry have contributed to the performance ...

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.

Nothing says “I love you” like a customizable algebraic equation. By Siobhan Roberts Meet Süss, a math widget after your own heart. (You can also visit the widget on its website here, which you might ...