Algebraic and differential geometry stand as two intertwined pillars of modern mathematics. Whereas algebraic geometry investigates the solution sets of polynomial equations using the refined language ...

Characteristic classes encapsulate intrinsic geometric information about vector bundles and, more broadly, coherent sheaves over algebraic varieties. Their formulation in algebraic geometry has ...

When students are genuinely curious about new concepts and ideas, they develop their own study skills, says Pekka Pankka, professor and teacher in the specialization. Geometry, Algebra, and Topology ...

Renowned as both a rigorous mathematician and thoughtful mentor, Ono was noted for his foundational work in algebraic number ...

In the computer vision field of object detection, deep learning models are trained to identify objects of interest within an image of a scene. For example, such models can be trained to detect viruses ...

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 ...

Class 7's Ganita Prakash Part 2 revolutionizes math learning by connecting modern concepts to India's rich mathematical heritage. Highlighting figures like Brahmagupta and Bhaskaracharya, it reveals ...