Mohamed Barakat

Mathematics postdoc

Office:	Lehrstuhl B für Mathematik RWTH Aachen Templergraben 64 52062 Aachen Germany
Tel:	+49 241 80 93507
Fax:	+49 241 80 6 93507
Email:	mohamed.barakat@rwth-aachen.de
GnuPG-Key:	767DB582
Fingerprint:	39CD 8D12 0CF8 4170 B942 8392 F064 0A5C 767D B582

(MathSciNet, arXiv)

Computation of connection matrices using the software package conley, accepted for publication in the Journal of Bifurcation and Chaos (together with Stanislaus Maier-Paape) (pdf,ps)
homalg - A meta-package for homological algebra, J. Algebra Appl. 7 (2008), no. 3, 299–317, MR MR2104944 (2005h:53032). (together with Daniel Robertz) (arXiv:math.AC/0701146)
conley - computing connection matrices in Maple, J. Symb. Comp. 44 (2009), 540–557, (together with Daniel Robertz) (arXiv:math.DS/0701173)
The existence of Cartan connections and geometrizable principal bundles, Arch. Math. (Basel) 83 (2004), no. 2, 159-163, MR MR2104944 (2005h:53032). (arXiv:math.DG/0206136)
jets. A MAPLE-package for formal differential geometry, Computer algebra in scientific computing (Konstanz, 2001), Springer, Berlin, 2001, pp. 1-12. MR MR1942047 (2003j:53001) (pdf,dvi)

Preprints (submitted)

Spectral Filtrations via Generalized Morphisms, submitted (arXiv:0904.0240)
Higher Extension Modules and the Yoneda Product, submitted (together with Barbara Brember) (arXiv:math.KT/0802.3179)

Proceedings

homalg: First steps to an abstract package for homological algebra, Proceedings of the X meeting on computational algebra and its applications (EACA 2006), Sevilla (Spain), 2006, pp. 29-32. (together with Daniel Robertz) (pdf,dvi)
Computing invariants of multidimensional linear systems on an abstract homological level, Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan), 2006, pp. 542-559. (together with Daniel Robertz) (pdf,dvi)
Reduction and long time behaviour of homogeneous turbulence under spatially constant mean-velocity gradient, Proc. of the Eights European Turbulence Conference, Barcelona/Spain, Kluwer Academic Press, 2000. (together with Martin Oberlack)

Theses

Functional spaces. A direct approach, Ph.D. thesis, Department of Mathematics, RWTH-Aachen, January 2002, (published electronically) (pdf,dvi)
Pro-Nilpotente Lie-Algebren, October 1997, unpublished (Master thesis in German). (pdf,dvi)

homalg project (started 2003, still active): http://homalg.math.rwth-aachen.de/

jets (started 2000, still active): http://wwwb.math.rwth-aachen.de/~barakat/jets

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