|
Name Address Office Phone Website |
Jakob Lindblad Blaavand Department of Mathematical Sciences 1530-432 (A4.32) +45 8942 3403 |
| I'm a student at the Center for Quantum Geometry of Moduli Spaces (QuGeM), at Aarhus University. I'm currently learning about Chern-Simons theory, and in the spring, I'll start concentrating on the geometric Langlands program, and deformation quantization. My research will possibly be connceted to the geometric Langlands program. My advisor is Jørgen Ellegaard Andersen | ||
Various mathematical writings |
||
| Homogeneous spaces | In this note we investigate the notion of a group action on a topological space. First of all what it is, but also see that almost all such spaces have the structure of a quotient space. The spaces which have a quotient space structure are called homogeneous spaces. Last but not least we will be dealing with some examples of homogeneous spaces. This note is part of the evaluation in the course Unitary group representations. Download it by clicking here. |
|
| Determinant of an endomorphism | In this short note we define the determinant of a endomorphism, and show that the definition is well defined. Download it by clicking here. | |
| Surface area and volume of a torus | In this short note formulas for surface area and the volumen of a torus in a three dimensional space is computed. Download it by clicking here. | |
| Poincaré models for the hyperbolic plane | I have written a note on two representations of the hyperbolic plane: The disc model and the Upper Half-plane model. In particular we will look at the geodesics in the two representations, and especially discuss the distance between two arbitrary points in the disc model. Last but not least it will be shown that the Gaussian curvature of the hyperbolic plane is constantly -1, by computing the Gaussian curvature in the Upper Half-plane model. Download it by clicking here. | |
| Two definitions on embedded submanifolds | In connection with the course "Riemannian geometry" in the fall of 2008, I did a seminar on the topic of submanifolds. In the notes I prove the equivalence of two definitions of embedded submanifolds. Download it by clicking here. | |
| Bachelorprojekt | My B.Sc. in mathematics was completed with this assignment on semigroups of contraction operators. I prove the classical theorem by Hille and Yoshida, and another classical theorem of Stones. The paper is written in Danish. Download it by clicking here. | |
| The Mathematics behind Google | This is a note on the mathematics behind Google. The paper is written in Danish. Download it by clicking here. | |
