(Last modified: May 5, 2011)

To view available preprints, click on the "Preprints". For some coloured tilings related to my work, click on the "Gallery".


I am a Ph.D. student and an assistant researcher at Bielefeld University, Germany. I am a member of Michael Baake's research group under the support of CRC 701. Currently, I am working on topology of tiling spaces under the supervision of Franz Gähler.

My previous work focused mainly on the characterisation of colour groups given a colouring of the cyclotomic integers. Four papers and a Master's thesis have been produced out of this work, which are all available as preprints in the 'Preprints' page.

For those interested, as I taught in Ateneo de Manila University, Philippines in the past, I have created several sample exams in the following courses: Ma1, Ma11, Ma18a, Ma18b, Ma 19/20, PEM, which I am making available in the 'Archive' page.

Contact Info

Mail: Postfach 100131, 33501 Bielefeld, Germany
Office: U4-140
Phone: +49 521 106 3842
Fax: +49 521 106 6481
E-mail: pbugarin@math.uni-bielefeld.de

Image Gallery

For more images, click here.