Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...

The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

Transactions of the American Mathematical Society, Vol. 365, No. 9 (SEPTEMBER 2013), pp. 4575-4632 (58 pages) In this paper, an intersection theory for generic differential polynomials is presented.

This course introduces to some of the central themes of modern Differential Geometry. We start with the important model case of surfaces and their particularly nice curvature geometry. After a short ...

Application of tools from differential geometry and Lie groups to problems in dynamics, controllability, and motion planning for mechanical systems, particularly with non-Euclidean configuration ...

A new preferred point geometric structure for statistical analysis, closely related to Amari's α-geometries, is introduced. The added preferred point structure is seen to resolve the problem that ...

The geometry and topology group at UB is traditionally strong in research and mentoring. Our faculty work in the areas of algebraic topology, complex geometry, differential geometry, geometric group ...

Crystals may seem flawless, but deep inside they contain tiny structural imperfections that dramatically influence their strength and behavior. Researchers from The University of Osaka have used the ...

The term “moduli space” was coined by Riemann for the space $\mathfrak{M}_g$ parametrizing all one-dimensional complex manifolds of genus $g$. Variants of this ...