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 ...

Vol. 10, Differential Geometry in Statistical Inference (1987), pp. i-iii+1-17+19+21-95+97-161+163+165-217+219-240 (237 pages) The Institute of Mathematical Statistics Lecture Notes–Monograph Series ...

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 ...

I work in differential geometry and the application of geometry to the study of partial differential equations. Specifically, my work has focused on conservation laws, Backlund transformations, ...

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 ...

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 ...

Mondays 12:30–14:00 in Room 311, Einsteinstr. 62 and Thursdays 16:15–17:45 in M6. In this course we will focus on the geometry of Ricci and scalar curvature. We will introduce to techniques to ...