# Dynamics and Ergodic Theory

**Team Members:**

- dr Przemysław Berk
- dr Bartosz Bieganowski
- mgr Aurelia Dymek
- prof. dr hab. Krzysztof Frączek
- dr Anna Gołębiewska
- prof. dr hab. Oleksandr Gomilko
- prof. dr hab. Stanisław Kasjan
- dr hab. Tomasz Klimsiak
- dr hab. Joanna Kułaga-Przymus
- prof. dr hab. Mariusz Lemańczyk

email: zimowy@mat.umk.pl

From the very beginning, he’s been involved with the Nicolaus Copernicus University. He received his master’s degree in mathematics there in 2013, while he defended his doctorate in 2018. The title of his doctoral dissertation was “The problem of disjointness of translation flows on surfaces with their inverses”, supervised by Prof. Krzysztof Frączek.

His interests revolve around the theory of dynamical systems, in particular related to joinings and disjointness of dynamical systems as well as flows on surfaces.

He also has in his CV three postdoctoral internships, two in Switzerland with Prof. Corinna Ulcigrai at the UZH in Zurich (02-09/2019 and 09/2020-08/2021) and one with Prof. Thierry de la Rue at the Université de Rouen (09/2019-09/2020).

email: bartoszb@mat.umk.pl

He obtained a master’s degree in mathematics in 2015 and in computer science in 2016 defending his master’s theses “Ground state solutions for semilinear Dirichlet and Schrodinger problems with sign-changing nonlinearities and subcritical growth” (supervisor: dr hab. Jarosław Mederski) and “On-line graphs coloring”(supervisor: prof. dr hab. Maciej Sysło), both at the Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, where he was empolyed in 2018. He defended his PhD dissertation entitled “Ground states, bound states and semiclassical states for nonlinear Schrödinger-type problems” with distinction in 2019.

His research iterests include variational methods in nonlinear, partial differential equations and the critical point theory. In particular, he study nonlinear Schrödinger-type problems and also problems with nonlocal operators, including the fractional laplacian.

email: aurbart@mat.umk.pl

She received her master’s degree in 2016, defending the master thesis entitled „B-free lattice points and dynamics” (supervisor: prof. Mariusz Lemańczyk) at Nicolaus Copernicus University where she is employed since 2020. Her scientific interests are concentrated around ergodic theory and dynamical systems. She received II Prize of LX Competition named after Józef Marcinkiewicz for the best student’s paper in mathematics. She is a team member in NCN funded grants. She also spent 3 months as a doctoral intern at The Ohio State University with prof. Vitaly Bergelson.

**prof. dr hab. Krzysztof Frączek**

email: fraczek@mat.umk.pl

He graduated from Nicolaus Copernicus University in 1995, where he also received his PhD degree in 1998. In 2005 he got the degree of doctor habilitated and was granted the title of professor in mathematical sciences in 2014 by the President of Poland. He was the director of the Chair of Ergodic Theory and Dynamical Systems at Nicolaus Copernicus University (2006-2012). He was also the vice-dean for science of the Faculty of Mathematics and Computer Science (2012-2019, two terms) and a member of the Senat of Nicolaus Copernicus University (2016-2019). Since 2019 he has been the Chair of the Mathematics Discipline Board at Nicolaus Copernicus University. His scientific interests are concentrated around ergodic theory and dynamical systems. He is an author of numerous research articles in prestigious journals including Advances in Mathematics, Communications in Mathematical Physics, Inventiones Mathematicae, Mathematische Annalen, Proceedings of the London Mathematical Society. He was honoured by Polish scientific awards including Scholarship of Foundation for Polish Science (1999) and Stefan Banach Prize of Polish Mathematical Society (2015). He closely collaborates with mathematicians all over the world: Tel Aviv University, Universite d’Aix-Marseille, Universite d’Haute Normandie, University of Maryland, University of Utah, University of Zurich, Weizmann Institute of Science. He is a member of the Editorial Board of the mathematical journal “Colloquium Mathematicum”.

email: aniar@mat.umk.pl

She graduated from Nicolaus Copernicus University in 2003, where she also received her PhD in 2009. The title of her doctoral dissertation was „Critical orbits of invariant strongly indefinite functionals” (supervisor: prof. dr hab. S. Rybicki). Her scientific interests are concentrated around the equivariant

algebraic topology, the theory of the degree of invariant mappings and the bifurcation theory.

**prof. dr hab. Oleksandr Gomilko**

email: gomilko@mat.umk.pl

Oleksandr Gomilko received his MSc degree in Mathematics (with distinction) from the Lomonosov Moscow State University, and in 1982 his PhD degree from the same university. In 1993, he has been habilitated in mathematical physics at the Institute of Mathematics of the National Academy of Sciences of Ukraine in Kiev. In 2005, he was awarded a professor title. In 2008, he joined the Faculty of Mathematics and Computer Science of the Nicolaus Copernicus University and, in 2015, became a full professor there. Since 2019, he is the director of the Chair of Functional Analysis of the Faculty of Mathematics and Computer Science. For his scientific achievements, he was honoured by two second degree awards (2012, 2015) from the Rector of the Nicolaus Copernicus University. He has supervised three PhD students. His primary scientific interests center around: semigroups of linear operators, spectral theory of differential operators, boundary value problems of mathematical physics, and number theory. He is an author of more than 120 scientific publications, including two monographs.

**prof. dr hab. Stanisław Kasjan**

email: skasjan@mat.umk.pl

Graduated from NCU in 1992, where also received his PhD in 1996. Was granted the title of professor in mathematical sciences in 2014. He works in algebra, mainly in representation theory (this is the subject of the PhD thesis and the habilitation) and also in dynamical systems. He is an author or a coauthor of publications in journals like Journal of Algebra, Communications in Algebra, Proceedings of the AMS, Bulletin of the LMS. He was honoured by Polish scientific awards including Scholarship of Foundation for Polish Science (1993) and Kazimierz Kuratowski Award (1999). In the years 2012-2020 (two terms) he was a vice-dean of Student Affairs of the Faculty of Mathematics and Computer Science.

email: tomas@mat.umk.pl

He graduated from mathematics studies at the Nicolaus Copernicus University in 2007, where he also obtained a doctoral degree (PhD) in 2011. He obtained the postdoctoral degree (DSc) in 2018. In the years 2014-2017, he worked as an assistant professor in the research position at the Institute of Mathematics of the Polish Academy of Sciences. Currently (on leave at the Nicolaus Copernicus University) he is employed as a professor at the Institute of Mathematics of the Polish Academy of Sciences. His interests focus on stochastic analysis, probabilistic potential theory, stochastic differential equations, partial differential equations and mathematical finance.

He is the author of a number of papers published in prestigious international journals as well as the performer and manager of numerous NCN grants. He received a scholarship from the Minister of Science and Higher Education for outstanding young scientists (2016-2019) and in 2019 he received the Prime Minister’s Award for highly evaluated achievements underlying the award of the title of Doctor of Science.

email: joasiak@mat.umk.pl

She graduated from Nicolaus Copernicus University (2008) where she also received her PhD (2011, with distinction). In 2019 she got the degree of doctor habilitated. Since 2020 she is the director of the Chair of Ergodic Theory and Dynamical Systems at Nicolaus Copernicus University. Her scientific interests are concentrated around ergodic theory and dynamical systems.

She is an author of numerous research articles in various international journals, conference and workshop talks and a team member in NCN funded grants. In 2013-2016 she holded a postdoctoral position in Institute of Mathematics of Polish Academy of Sciences. She also spend 6 months as a post-doc in CNRS in Marseille. She was honoured by several awards (including the Kazimierz Kuratowski Award (2015), Award for Young Mathematicians of Polish Mathematical Society and Institute of Mathematics of Polish Academy of Sciences (2012), Prime Minister’s Award for Ph.D. dissertation (2011) and START Stipend of the Foundation for Polish Science (2017)).

**prof. dr hab. Mariusz Lemańczyk**

email: mlem@mat.umk.pl

He graduated from Nicolaus Copernicus University in 1981, where he also received PhD in 1985. In 1991 he got the degree of doctor habilitated from Warsaw University and was granted the title of professor in mathematical sciences in 1998 by the President of Poland. For many years (till February 2020) he has been the director of the Chair of Ergodic Theory and Dynamical Systems at Nicolaus Copernicus University. He was also the vice-dean for science of the Faculty of Mathematics and Computer Science (1999-2005, two terms), the dean of the Faculty of Mathematics and Computer Science (2005-2008) and a member of the Senat of Nicolaus Copernicus (1999-2008). Since 1996 (except for the term 2014-2017) he has been a member of the Scientific Council of Institute of Mathematics of Polish Academy of Sciences. He was the PI in 4 research grants and a supervisor of 8 PhD’s students. He is a laureat of several prestigious Polish awards:

- Award of Polish Mathematical Society for Young Mathematicians 1986,
- Kazimierz Kuratowski Prize of Polish Mathematical Society (for achievements until 30 years) 1997,
- Stefan Banach Main Prize of Polish Mathematical Society 1998,
- Władysław Orlicz medal and 24th Special Lecture 2017 (Adam Mickiewicz University).

He is a world expert in ergodic theory and dynamical systems (more than 110 published research articles) in interactions with combinatorics, geometry, information theory, probability and spectral theory. For the last decade, through Sarnak’s conjecture, his research is also oriented toward applications in analytic number theory. Holding a prestigious special Jean-Morlet chair in 2016 at Centre International des Rencontres Mathematiques in Marseille was one of recognitions of his high international position and influence. He also received a conference grant (together with Maksym Radziwiłł from Caltech) from the American Institute of Mathematics. He closely collaborates with top mathematicians all over the world: Bielefeld University, Caltech, Hebrew University in Jerusalem, Institute for Advanced Studies (Princeton), Moscow State University, Ohio State University, Technical University in Vienna, Tel Aviv University, Universite d’Aix-Marseille, Universite d’Haute Normandie, University of Maryland, University of Zurich. He has been a member of the Editorial Board of one of the most famous Polish journals “Studia Mathematica” since 2006.