C.V. Hanna Uscka-Wehlou

Updated November 11, 2008

Personal data

• Born in Wabrzezno, Poland, 1973.
• Married, two children
• Lives in Uppsala

Education

• 1992-97: University of Torun (Copernicus University), Poland, masters degree in theoretical mathematics with teaching qualifications. Diploma officially approved as equivalent (or more) to a Belgian "Licentiaat Wiskunde" with "Pedagogische kwalificatie", and thus automatically approved in all European Community countries. Thesis: "Continuation method for contractions and applications in differential calculus". Graduated with top honors.

Languages

• Fluent in Polish, Swedish, Dutch, English and Russian. Planning to learn French.

Research

• I am doing my Ph.D. studies in Uppsala, in the Department of Mathematics of Uppsala University. Together with my advisor Professor Christer Kiselman and my colleague Shiva Samieinia we form a research group in Digital Geometry.
• My research has been focused on arithmetic properties of digital lines in two dimensions. I am mainly interested in the lines with irrational slopes, which leads to research on Sturmian words. I have formulated a new description of upper mechanical words with irrational slopes. The description is based on continued fractions. Now I am working on a fixed point theorem for Sturmian words. When I am ready with that, I am going to climb one or more levels higher. I plan to study multidimensional continued fractions and the role that they play in the description of straight lines and planes in 3D (and maybe even in higher dimensions). I feel inspired by the work of Valérie Berthé, Damien Jamet and Thomas Fernique. For more details about my research, see the list of my publications and my page on digital geometry.

Publications

• Hanna Uscka-Wehlou. Digital lines with irrational slopes, Theoretical Computer Science, 377 (2007) 157--169
• Hanna Uscka-Wehlou. Continued fractions and digital lines with irrational slopes. Published as a conference paper for The 14th International Conference on DISCRETE GEOMETRY for COMPUTER IMAGERY. DGCI 2008, LNCS 4992, pp. 93-104, 2008.
• Hanna Uscka-Wehlou. A Run-hierarchical Description of Upper Mechanical Words with Irrational Slopes Using Continued Fractions. Published as a conference paper in Proceedings of 12th Mons Theoretical Science Days (Mons, Belgium), 27-30 August 2008.
• Hanna Uscka-Wehlou. Run-hierarchical structure of digital lines with irrational slopes in terms of continued fractions and the Gauss map (an extended version of the DGCI 2008 paper). Accepted for publication as a journal paper in Pattern Recognition, DGCI Special Issue.

Reports

• Hanna Uscka-Wehlou. Digital Lines. In: Graduate School in Mathematics and Computing, FMB, Graduate School in Mathematics Education, FMD, Open House, Uppsala, November 15-16, 2004, C. Kiselman, E. Melin, and M. Neytcheva, eds. Uppsala: Uppsala University, 2005, pp. 111-115.
• Hanna Uscka-Wehlou. Digital lines with irrational slopes. U.U.D.M. Report 2005:20, June 2005, 17 pp.

Scientific Presentations

• 1994: Participated in the "33rd session of the Seminaire de Mathematique Superieures (SMS) on Topological Methods in Differential Equations and Inclusions" in Montreal, Canada.
• Presentation at Centre for Image Analysis, Uppsala University, Dec 15, 2003: "Digital Lines".
• Presentation at Centre for Image Analysis, Uppsala University, Jan 16, 2005: "Theory of Digital Lines".
• "Digital Lines". FMB-FMD Open House Conference, November 15-16, 2004.
• 16-18 April 2008: Participated in the 14th International Conference on DISCRETE GEOMETRY for COMPUTER IMAGERY, DGCI 2008. Presented a poster there and gave a really short oral presentation.
• 27-30 September 2008: Participated in the 12th Mons Theoretical Science Days (Mons, Belgium), JM 2008. Presented my article there (gave an oral presentation).
• 8 November 2008: I was the leader of a workshop "groups" for the participants of "Sonja Kovalevskydagarna" at Uppsala University. Here you can find the notes I wrote for the students (in Swedish).

Teaching Experience

• 2001 spring, University of Brussels, Belgium: one-dimensional calculus, Prof I. Cnop.
• 2003 fall - 2004 spring, Uppsala University, one-dimensional calculus, students engineering, lecturer L. Abrahamsson.
• 2004 fall, Uppsala University, one-dimensional calculus, lecturer T. Erlandsson.
• 2007 spring, Uppsala University, one-dimensional calculus, lecturers W. Tucker and P. Bäcklund.
• 2008 spring, Uppsala University, one-dimensional calculus, lecturer Jörgen Östensson.
• (still only a future experience...) 2009 spring, Uppsala University, one-dimensional calculus, lecturer L. Abrahamsson.

Old and New Experiences