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E-mail:my-surname-at-sign-kam.mff.cuni.cz

CV

Research

Currently, most of my research effort aims at a project on computational homotopy theory.

Homotopy theory studies geometric phenomena robust in a certain strong sense. It is an old area of mathematics with many surprising connections. Largely, it is built in a non-constructive fashion and that is a substantial obstacle to be overcome when one works towards its computational applications.

In a series of papers we made some of the crucial homotopy-theoretic elements algorithmic.

For a brief visual introduction, see the SODA 2012 slides. For slightly more involved visual exposition, you can try ATMCS 2012 slides. For a complete exposition of the main result, see Computing all maps into a sphere.

Also other directions of my research interests belong to theoretical computer science. Mainly, it is linear programming and its applications in algorithm design.

List of publications

Teaching/Pro studenty (In Czech)

My tutorials aim at three goals:

  1. Put emphasis on the visual component in my presentation (pictures, colored chalks, etc.).
  2. Provide essential portion of time for individual work of students (interaction of students is not excluded).
  3. Assign, correct and comment regular homework (interconnected with the lecture if possible).
    A simple but, in my opinion, handy technical solution can be seen at particular courses accessible from the Teaching page (in Czech but essentially comprehensible).

Math Exposition

I often find math papers (of the standard TeX/LaTeX style) uneasy to understand and remember. They mostly involve text/language skills and memory, while my (mathematical) mind "works in pictures" from a great part.

I believe significant portion of math-readers would benefit from stronger visual component in math exposition. A couple of my experiments with IPE (a graphical tool for math pictures, handouts and slides) in this direction can be found at my Exposition page.

Non-professional interests

  • Technology - particularly high-tech phones; My own creativity peaked with the development of a dictionary for phones with Java.
  • Sports - I am a big fan of sporting for fun, welcoming beginners is more important to me than competitive ambitions.
  • Music