Epoch AI finds AI acknowledgments in math arXiv preprints rose from 4% to 25% in four months, hitting 57% in differential ...

In the field of Differential Geometry we are concerned with Riemannian manifolds or more generally (inner) metric spaces. We are interested in the interplay between their curvature and global ...

When students are genuinely curious about new concepts and ideas, they develop their own study skills, says Professor Pekka Pankka. Geometry, Algebra, and Topology are pure mathematics and essential ...

The faculty at UMass Amherst and the surrounding colleges have broad interests in geometry and topology that include knot theory (topological and geometric knot invariants), symplectic geometry ...

Algebraic geometry and the theory of complex manifolds together form a foundational pillar of modern mathematics, interweaving geometric intuition with algebraic precision. Algebraic geometry studies ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Make Math Engaging and Accessible for All Learners! This resource provides everything you need to teach a single topic with confidence. Designed for differentiation, it offers structured and engaging ...

Partial differential equations (PDEs) on Riemannian manifolds extend classical Euclidean analysis by incorporating the geometric structure encoded in a smoothly varying metric. At their heart lies the ...

Make Math Engaging and Accessible for All Learners! This resource provides everything you need to teach a single topic with confidence. Designed for differentiation, it offers structured and engaging ...