At the moment I am working on supergeometry. Supergeometry uses concepts from algebraic geometry, differential geometry and algebra.
(Lie) Group Theory, Representation Theory, Supergravities, String Theory, Algebraic Geometry, Algebraic Groups, Cosmology.
Resumé PDF
Scaling cosmologies of N=8 gauged supergravity.
Jan Rosseel, Thomas Van Riet, DBW
hep-th/0610143
Gauging CSO groups in N=4 Supergravity.
Mees de Roo, Sudhakar Panda, DBW
hep-th/0606282
Dynamics of generalized assisted inflation.
Jelle Hartong, Andre Ploegh, Thomas Van Riet, DBW
gr-qc/0602077
Coset symmetries in dimensionally reduced heterotic supergravity.
Wissam Chemissaney, DBW
hep-th/0510137
Group manifold reduction of dual N=1 d=10 supergravity.
Mees de Roo, Martijn G.C. Eenink, DBW
hep-th/0503059
Potential and mass matrix in gauged N=4 supergravity.
Mees de Roo, Sudhakar Panda, M. Trigiante, DBW
hep-th/0310187
De Sitter solutions in N=4 matter coupled supergravity.
Mees de Roo, Sudhakar Panda, DBW
hep-th/0212216
Thesis: Symmetries in N=4 Supergravities. PDF
Book 'Classical and quantum mechanics via Lie algebras'. PDF from ArXiv
Some preliminary notes on Calabi--Yau manifolds. PDF
A proof of Van der Waerden's theorem PDF
El Lema de Yoneda (in Spanish). PDF
Short (and private) notes on super Hopf algebras. Introductory PDF
Short (and private) notes on hyperelliptic curves. PDF
Dissertantenkolloquium: Supersymmetry and Supergeometry, 29/11/2007. PDF
Notes on supermatrices. PDF
Notes on SU(2) and SO(3). PDF
Very preliminary and not even finished notes on line bundles and divisors. PDF
An application of the Segre embedding: preliminary version of private notes. PDF
On the group ISO(1,1): private notes. PDF
A very small physics dictionary for mathematicians. PDF
Linear realization of conformal transformations PDF
An example from the lottery: restricted partitions PDF
Expository text on Syzygies: Syzygies without Tor. PDF
An easy example of an orbifold. PDF
Introduction to Superschemes. PDF
Small notes on Riemann's Theorem and Hartogs' Theorem. PDF TeX
Small notes on triangles and the Euler line. PDF TEX
Small notes on the Smith normal form, existence of a good basis and toric varieties PDF TEX
Notes proving relations involving associated Legendre polynomials PDF
Quick notes on Caratheodory's extension theorem PDF TEX
Small notes on the Fake Santa Game (Engelbengerl) PDF TEX
Das Periodensystem der Elemente PDF
Constrained Dynamics -- a short, preliminary text in trial version PDF
Coriolis and centrifugal forces - a coherent derivation of the emerging forces in rotating coordinate systems. PDF
Lagrangian points: Calculating their position and showing stability of L4 and L5. PDF
A worked out exercise on alternating permutations PDF
A little note on two fun alternating harmonic series PDF
Short note on Catalan numbers Englisch Deutsch
Basic ideas and derivations of SRT PDF
SRT Addendum: Accelerations PDF
Vierquadratesatz von Lagrange PDF
Deriving the basic equations of Mie theory PDF