The geometry of space, the setting in which physical laws operate, may hold clues to some of the biggest unanswered questions in fundamental physics. The underlying structure of spacetime itself could ...

Complex geometry, a rich interlace of algebra, analysis and geometry, continues to unveil surprising interconnections between abstract theories and practical applications. At its core, the study of ...

At its heart, this research uncovers the hidden geometric principles behind the unique shape of rose petals. While scientists extensively studied shape morphing in natural sheets such as leaves and ...

Arithmetic geometry of curves stands at the crossroads of algebraic geometry and number theory, offering a rigorous framework for analysing algebraic curves defined over number and finite fields. This ...

“The parentheses feel artificial.” The octonions’ seemingly unphysical nonassociativity has crippled many physicists’ efforts to exploit them, but Baez explained that their peculiar math has also ...

A new mathematical model of a wormhole suggests that two black holes can be “cut and pasted.” Cut and paste is an official ...

Daniel Trugman, assistant professor in the Nevada Seismological Laboratory (NSL), and Avigyan Chatterjee, doctoral student in the NSL, have published a research article in the journal Nature about how ...

Geometry was my favorite math subject. I was drawn to the clarity and purity of its shapes, and the predictability of its relationships. In art, I favored mechanical-type drawings of circles, squares, ...