Remus Radu

About me

I am a postdoctoral fellow at the University of Toronto since 2017. From 2013 to 2017 I was a Milnor Lecturer at the Institute for Mathematical Sciences at Stony Brook University. I got my Ph.D. in Mathematics from Cornell University in 2013, under the supervision of John H. Hubbard.

I started my undergraduate studies at the University of Bucharest and after one year I transfered to Jacobs University Bremen, where I earned my B.S. degree in Mathematics in 2007. I got a M.S. in Computer Science from Cornell University in 2012.

Research Interests

My interests are in the areas of Dynamical Systems (in one or several complex variables), Analysis, Topology and the interplay between these fields.

My research is focused on the study of complex Hénon maps, which are a special class of polynomial automorphisms of $\mathbb{C}^2$ with chaotic behavior. I am interested in understanding the global topology of the Julia sets $J$, $J^-$ and $J^+$ of a complex Hénon map and the dynamics of maps with partially hyperbolic behavior such as holomorphic germs of diffeomorphisms of $(\mathbb{C}^n,0)$ with semi-neutral fixed points. Some specific topics that I work on include: relative stability of semi-parabolic Hénon maps and connectivity of the Julia set $J$, regularity properties of the boundary of a Siegel disk of a semi-Siegel Hénon map, local structure of non-linearizable germs of diffeomorphisms of $(\mathbb{C}^n,0)$.

Other activities

This semester I am teaching MAT244: Differential Equations I (access the course webpage on Quercus and here).
The Dynamics Seminar at the University of Toronto.
I was organizer for the Dynamics Seminar at Stony Brook University.
I have also developed projects for MEC (Math Explorer's Club): Mathematics of Web Search and Billiards & Puzzles.