I am a PhD student at the Institute of Science and Technology Austria. My main area of research is dynamical systems and its connections to spectral theory. I mainly work with nearly integrable dynamics. More particularly, I am interested whether a deformation of an integrable system may be special in some broad sense. Afterwards, I often use this knowledge to get a statement about a related PDE. To obtain these results I like to use the ideas from various areas of mathematics ranging from combinatorics and algebra to complex and functional analysis.

My PhD advisor is Vadim Kaloshin.

Here is my CV:     Curriculum Vitae.

 You can reach me via   Illya.Koval@ist.ac.at.

I am from Kharkiv, Ukraine.