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The Department of Fundamental Mathematics was created at HSE Nizhny Novgorod in 2014. In 2015, the Department launched a Bachelor’s programme in Mathematics. Starting 2019, there will also be a double degree Master’s programme in Mathematics taught entirely in English in cooperation with the University of Passau.
The department also conducts classes for school children at the Minor Mathematical Academy Plus+.
Department staff members are involved in research as part of the Laboratory of Topological Methods in Dynamics.
Barinova M., Grines V., Zhuzhoma E. V. et al.
Regular and Chaotic Dynamics. 2024. Vol. 29. P. 369-375.
Klyachko M., Zaytsev A., Talipova T. et al.
In bk.: Handbook for Management of Threats: Security and defense, resilience and optimal strategies. Bk. 205. Springer, 2023. Ch. 8. P. 159-192.
Grines V., Pochinka O., Chilina E.
arxiv.org. math. Cornell University, 2023
Lecture course on bifurcation theory
Lectures included topics such as:
- Invariant tori
- The theory of central manifolds and the method of normal forms
- Structurally stable equilibrium states and periodic trajectories of dynamical systems
- Basic bifurcations of equilibrium states and periodic orbits (saddle node bifurcations, Andronov-Hopf bifurcation, period doubling and torus bifurcation)
Student Reviews:
For two weeks at the Higher School of Economics, a lecture course "Introduction to the Theory of Bifurcations" was delivered. Dmitry Turaev, a lecturer, perfectly explained interesting material, the things that we already know were presented in a different light. The proposed course is quite useful for almost all students of the program "Mathematics", since many of them write scientific papers on topics related to this area of dynamical systems, in particular, this course is useful to me.
Burdygina Tatyana, 17fm
The course "Introduction to the theory of bifurcations" was very useful for me, as it was discussed within the framework of the material that is directly related to my course work. I also liked the manner of the speaker’s story, Dmitry Turaev. The material was provided in English, which helped to get acquainted with a new terminology for me and gain experience in listening to lectures in a foreign language.
Kuryzhov Eugene, 17fm
It was very pleasant and informative for me to listen to Dmitry Turaev’s lectures. I have learned in more detail the basic bifurcations of equilibrium states and periodic orbits, invariant tori and the theory of central manifolds. This course made it possible to tighten English and study the terminology of this topic in more detail. Of course, you need to go to such lectures and improve your knowledge and skills in mathematics.
Sukharev Dmitry, 17fm