In English

Martin Fluch

About Me

I'm a former student at the university of Helsinki. I studied here from Summer 1999 till Summer 2007. I obtained here my Master of Science in 2004 and worked as a postgraduate student for the following three years under the supervision of Prof. Sören Illman. After I obtained the Licentiates Degree in June 2007 I got a PhD place at the School of Mathematics at the University of Southampton where I continue in the field of homological algebra since October 2007.

Education

• Licentiate of Philosophy (University of Helsinki, June 2007; translation)

• Master of Science (University of Helsinki, March 2004)

• Prediploma in Mathematics (University of Heidelberg, July 1999)

• Prediploma in Physics (University of Heidelberg, June 1999)

Teaching

Algebra I (fall 2006)

Linear Algebra and Matrices (spring 2007)

Short Course on Algebraic Topology (Gliwice, Poland, 3.9.2007)

First Steps in Topological Transformation Groups (Gliwice, Poland, 4.9.2007)

Contact Information

Email: m.fluch 'at' soton.ac.uk
Homepage: http://www.personal.soton.ac.uk/mgf1v07/

Miscellaneous Documents

• First Steps in Topological Transformation Groups. 2007. Notes to a short introducting lecture on Topological Transformation Groups. Will be held at the 3rd Summer School of Algebra and Topology in Gliwice in September. (pdf)

• A Short Course on Algebraic Topology. 2007. Notes to a short introducting lecture on Algebraic Topology. Will be held at the 3rd Summer School of Algebra and Topology in Gliwice in September. (pdf)

• P.A. Smith Theory for p-Adic Transformation Groups. 2007. Seminar talk about my Licentiate's thesis. (pdf)

• P.A. Smith Theory for p-Adic Transformation Groups. 2007. Licentiate's thesis. (pdf)

• Construction of the Real Numbers from the Natural Numbers. 2007. In this text the construction process of the real numbers is described. Starting from a set satisfying the Peano Axioms we construct succesive the integers Z, the rational numbers Q and then finally the real numbers R. All results are given without proofs as the intention of this text is only to outline the construction process. (pdf)

• The Construction of the Cech Homology Theory. 2006. Short article describing the construction of the Cech Homology Theory for compact and locally compact spaces. Based on the information in the book Foundation of Algebraic Topology by Eilenberg and Steenrod. (pdf)

• The Künneth Formula in Abelian Categories. Master's thesis, 2004. (pdf)

Links

Work and Study Related

• Kumpula Science Library
• Electronic Journals (University of Helsinki):
  JSTOR
• arXiv.org
• e-Mail Directory (University of Helsinki)
• Scuola Matematica Interuniversitaria
• My TeX/LaTeX resources page.
• The Rising Sea.
• My wishlist of mathematical books (at amazon.de).
• 42 Methods of Mathematical Proof (pdf).

Other

• HYTaekwon-Do
• My Photos on Flickr
• Electronic Map of Helsink
• Crypto-Gram homepage

"Corollary 5.56: When the wind blows on the surface of the earth (S²),
there is at least one place where the wind is not blowing."      
K. Kawakubo
The Theory of Transformation Groups