Pieter Penninckx

Mathematics

During the period 2005 – 2010, I worked on my PhD in mathematics. I am no longer active in academic research in mathematics, but I would like to write a short summary here.

For the most complete and comprehensive reading with least overlap, I recommend the thesis, the errata and the two articles with Jong Bum Lee and Ku Yong Ha.

Publications in journals with peer review

It is stardard practice in mathematics to list authors in alphabetical order. I believe this helps to maintain a friendly relationship between the co-authors.

  • K. Dekimpe, P. Penninckx, On the number of generators of a Bieberbach group, Comm. Algebra., Vol. 37, No. 12, Dec. 2009, pp. 4332–4345
  • K. Dekimpe, B. De Rock, P. Penninckx, The R property for infra-nilmanifolds, Topol. Methods Nonlinear Anal., Vol. 34, No. 2, Dec. 2009, pp. 353–374
  • K. Dekimpe, P. Penninckx, Coincidence theory for infra-nilmanifolds, Topol. Appl., Vol. 157, Issue 10-11, 2010, pp. 1815–1832
  • K. Dekimpe, B. De Rock, P. Penninckx, The Anosov theorem for infra-nilmanifolds with a 2-perfect holonomy group, Asian J. Math., Vol. 15, No. 4 (2011), pp. 539–548
  • K. Dekimpe, P. Penninckx, The finiteness of the Reidemeister number of morphisms between almost-crystallographic groups, J. Fix. Point Theory A., Volume 9, Number 2(2011), pp. 257–283
  • K.Y. Ha, J.B. Lee, P. Penninckx, Anosov theorem for coincidences on special solvmanifolds of type (R), P. Am. Math. Soc., Vol. 139, No. 6, June 2011, pp. 2239–2248
  • K.Y. Ha, J.B. Lee, P. Penninckx, Formulas for the Reidemeister, Lefschetz and Nielsen coincidence number of maps between infra-nilmanifolds , Fixed Point Theory A., 2012:39

Thesis

Please also see the errata.

Software

I used a lot of computer experimentation to test hypothesis or find counterexamples. I fixed a bug in CARAT (Crystallographic Algorithms And Tables).

Signal processing

During the autumn of 2010, I had a position at the K.U.Leuven that allowed me to investigate two tensor-based algorithms for blind signal separation. The contract was for a short period of time (only three months) and I had bad luck with the algorithms (they did not work as well as expected), but I am grateful for this experience because I learned a lot.