My area of research is Dynamical systems. I have been a doctoral student at KTH, under the supervision of Prof. Kristian Bjerklöv, since 2021.
The over arching theme of my PhD research has been to study special classes of non-uniformly hyperbolic dynamical systems, on two dimensional torus and establish their complex behaviour in terms of appropriate invariants. For such systems, the hyperbolic behaviour is characterised and quantified by non-zero Lyapunov exponents on a set of positive measure.
My current interests are focused on quasiperiodically forced circle diffeomorphisms that have strange non-chaotic attractors.
If you are a curious high school or college student, feel free to explore the miscellaneous sources page for some information that might interest you.