We now know the name of the winner of the 8th edition of the International Stefan Banach Prize for a Doctoral Dissertation in the Mathematical Sciences.
his year’s winner is Doctor Adam Kanigowski from the Institute of Mathematics of the Polish Academy of Sciences PAN.
His winning dissertation entitled “Ergodic properties of smoothflows on surfaces” was written under the supervision of professor Mariusz Lemańczyk from the Faculty of Mathematics and Computer Science of the Nicolaus Copernicus University in Toruń and the auxiliary supervisor – Dr. Joanna Kułaga-Przymus, from the Institute of Mathematics of the Polish Academy of Sciences and Faculty of Mathematics and Computer Science of the Nicolaus Copernicus University in Toruń.
Additionally, the following were nominated for the prize:
The theory of dynamical systems considered in the winning dissertation have been often used in biology, economy, astronomy, meteorology, hydrodynamics, and in many other fields of science. Its foundations were developed by Sir Isaac Newton, and the discovery of the chaos theory in the twentieth century helped to explain many phenomena happening both in nature and in economics. Every day we have to deal with phenomena of this type as we watch weather forecasts which, unfortunately, are never totally accurate, which is compliant with the contemporary theory of dynamical systems. The theory of dynamical systems also enables us to determinate complicated trajectories of satellites in such a way that fuel can be saved.
In the award-winning thesis, Dr. Kanigowski examines smooth dynamical systems which preserve the measure on surfaces, while he attempts to describe their ergodic properties and different types of mixing. The main issue considered in the thesis is the problem raised by W.A. Rochlin who wondered whether the usual mixing by such a dynamical system implicates the mixing of higher orders. For smooth dynamical systems, this problem has been open for 50 years. Dr. Kanigowski proposes a solution for certain classes of dynamical systems: the so-called Arnold flow and Koczergin flow.
The thesis consists of over 100 pages of difficult mathematics. It contains a well-written introduction and clearly summarizes the achieved results as well as presents them in comparison with what was achieved earlier. The winning thesis of Dr. Kanigowski constitutes the basis for his 4 publications. Three of them have already been published: one in Inventiones mathematicae (one of the most prestigious mathematics journal) and two in Ergodic Theory and Dynamical Systems (one of the most important magazines which publishes works on dynamical systems).
For the 8th edition of the competition 13 entries were received. We would like to sincerely thank all the participants.
The ceremonial awarding of the prize to the winner and the diplomas for the other nominees will take place during the inauguration of the 7th Forum of Polish Mathematicians, in September 2016 in Olsztyn.