1. -Analytic Torsion and Determinant Line Bundles
   

1. -Notes on modularity of algebraic varieties
   

1. -Notes on Eisenstein Series
   

1. -On arithmetic groups and automorphic forms in string theory
   

1. -On the twistor space of SU(2,1)/K (the classical moduli space of the “universal hypermultiplet”)
   

- Modave Lectures on Kac-Moody Algebras

1. -Notes on Lie algebra characters and the Harish-Chandra homomorphism
   

- On arithmetic subgroups of Lie groups

1. -Notes on the Lie algebra su(2,1)
   

1. -Notes on sigma models on the hyperbolic coset space SU(2,1)++/K
   

1. -Split attractor flows and subalgebras of A1++
   

- Models and coordinates for hyperbolic space

1. -Notes on the Weyl group of the hyperbolic Kac-Moody algebra A1++
   

- Field Realization of the Geroch Group

Below follows a collection of random notes that I have written in the course of learning various topics, or as preparation for some research project. They are made available here in case they are useful for students or others interested in similar stuff. These notes have not been proofread and are bound to contain numerous mistakes and inaccuracies. Use at your own risk.

Daniel Persson

Associate Professor

Division of Algebra and Geometry

Department of Mathematical Sciences

Chalmers University of Technology