Mateusz Kwaśnicki Institute of Mathematics Polish Academy of Sciences ul. Kopernika 18 51-617 Wrocław Institute of Mathematics and Computer Science Wrocław University of Technology ul. Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland e-mail: skype: mateusz.kwasnicki CV

Wrocław

My hometown. Here I was born in 1983, here I grew up and studied mathematics, and now I'm working at one of the two major universities here. In Wrocław I met my wonderful wife Agata, in fact we lived in the same street. Even Little My and Snufkin, our cats, spent (virtually) all their life here. Wrocław is probably a nice place for living, and with no doubt a great place to visit. You may have heard about the Market Square, Ostrów Tumski, the Racławice Panorama and Hala Stulecia. But did you know about the double staircase at Teatralna 1, a fancy Archicom building or birds in Wrocław?

Mathematics

In 2008 I got a PhD degree in mathematics under the supervision of Tadeusz Kulczycki, and since then I work as an assistant professor at the Wrocław University of Technology. My main fields of interest are:

• Lévy processes and half-line. Fluctuation theory for Lévy processes is an infinite source of identities for stopping times, supremum processes, ladder processes etc. However, a formula for the eigenfunctions or transition density of the process killed after exiting a half-line seems to be out of reach of this theory. I managed to obtain such results using purely analytical methods for a class of Lévy processes. Extending this to a wider class of processes, and studying the relation between eigenfunctions and fluctuation identites are the plans for my nearest future.
• Potential theory of Markov processes with jumps. Typically, the theory of jump processes is considered to be more difficult than its diffusion counterpart, mostly due to issues related to nonlocality. The generalization of methods of classical potential theory (related to Brownian motion) to the caso of processes with jumps often requires a considerable effort. Fortunately, sometimes jumps help! My research is focused on these two words.

Hobbies

Flamenco. I love listening to it and watching people dance. I also studied a little bit flamenco dance and playing flamenco guitar.

Cooking. And eating, of course.

Travelling, in a very broad sense. That is, visiting ‘places of interest’, but also going again and again to Bieszczady or Sudetes.

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