Arne Lorenz

From 2005 to 2009, I was a PhD student at Lehrstuhl B für Mathematik.

Contact

Office: Lehrstuhl B für Mathematik
RWTH Aachen
Templergraben 64
52062 Aachen
Germany
Tel: +49 (0) 241 80-93508
Fax: +49 (0) 241 80-92502
Email: arne@momo.math.rwth-aachen.de

Research Areas


Teaching


Publications

(arXiv)
Articles (refereed)
Theses

Projects (or contributions)

jets (joined 2005 as coauthor, still active)
http://wwwb.math.rwth-aachen.de/~barakat/jets
Jet Groupoids (started 2005, still active)
homalg (joined the team in 2008, see the seminar section)

Talks

Laplace Invariants via Vessiot Equivalence Method
Talk at the Workshop Differential Equations by Algebraic Methods on February 6th, 2009 at RISC Linz (Austria).
The visit to RISC was financially supported by the SCIence project.
Vessiot's Equivalence Method Applied to Linear Partial Differential Operators
Talk in the Computer Algebra Seminar on May 5th, 2008 at RISC Linz (Austria).
Abstract de Rham Theorem
Summer School on "Algorithmic D-module theory", 3-7 September 2007, Kleinwalsertal (Austria).
Generalities About Sheaves (together with Sebastian Jambor)
Summer School on "Algorithmic D-module theory", 3-7 September 2007, Kleinwalsertal (Austria).
Integrabilitätsbedingungen in der Geometrie (in German)
Kollegseminar Graduiertenkolleg "Hierarchie und Symmetrie in mathematischen Modellen", 15.12.2007, Aachen.

Seminars

In summer term 2006, the article "Sheaf Algorithms Using the Exterior Algebra" [1] was treated in the institute seminar. See also [2] for additional information.

Together with Mohamed Barakat, we produced some seminar notes (partly in German). I have also implemented the algorithms to compute sheaf cohomology in a Maple package `SheafAlgorithms` which uses the Maple version of homalg. It contains procedures to calculate the Tate resolution described in [1]. An example worksheet may be found here. To compute sheaf cohomology, the package JanetOre by Daniel Robertz was extended to support the exterior algebra.

All packages may be obtained from our software server http://wwwb.math.rwth-aachen.de:8040.

Literature


Physics

In june 2005, I graduated in physics at the Institut für Theoretische Physik E under supervision of Professor W. Bernreuther. Together with Marc Hitschfeld (now at: Universität zu Köln, Fachgruppe Physik) I have written a Maple package TensorReduce for the reduction of tensor integrals occurring in one-loop QFT calculations. The package can be obtained from our software server.

Interesting Links


last modification: 2009/04/20, Disclaimer

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