Synopsis
My interests are in the areas of complex dynamics (in one or several 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. I am also interested in understanding the dynamics of maps with nonhyperbolic behavior
such as Hénon maps or more generally holomorphic germs of $(\mathbb{C}^2,0)$ with a semiindifferent fixed point.
Some specific topics that I work on include: relative stability of semiparabolic Hénon maps and connectivity of the
Julia set $J$, regularity properties of the boundary of a Siegel disk of a semiSiegel Hénon map, local structure
of a nonlinearizable germ of $(\mathbb{C}^2,0)$ with irrational rotation number.
Papers and preprints

R. Radu, R. Tanase, Semiparabolic tools for hyperbolic Hénon maps and continuity of Julia sets in $\mathbb{C}^2$,
arXiv:1508.03625, to appear in Transactions of the AMS

R. Radu, R. Tanase, A structure theorem for semiparabolic Hénon maps,
arXiv:1411.3824, Submitted

R. Radu, R. Tanase, A new proof of a theorem of Hubbard and ObersteVorth,
Fixed Point Theory
and Applications, (2016) 2016:43,
arXiv:1511.03256

D. Gaidashev, R. Radu, M. Yampolsky, Renormalization and Siegel disks for complex Hénon maps,
arXiv:1604.07069

M. Lyubich, R. Radu, R. Tanase, Hedgehogs in higher dimensions and their applications, arXiv:1611.09840

T. Firsova, M. Lyubich, R. Radu, R. Tanase, Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of $(\mathbb{C}^2,0)$,
arXiv:1611.09342

R. Radu, A global model for the Julia set $J^+$, Preprint 2016

S. Bonnot, R. Radu, R. Tanase, Hénon maps with biholomorphic escaping sets, In preparation
Thesis
R. Radu, Topological models for hyperbolic and semiparabolic complex Hénon maps, Cornell University, 2013
Selected talks and slides
 JMMAMS Special Session on Ergodic Theory and Dynamical Systems, Atlanta, January 47, 2017
 New Trends in Onedimensional Dynamics, celebrating the 70th birthday of Welington de Melo, IMPA, Rio de Janeiro, November 1418, 2016
 Dynamics Seminar, University of Uppsala, October 11, 2016
 Dynamics Seminar, University of Chicago, April 11, 2016
 Special session on Holomorphic Dynamics, AMS Sectional Meeting, Stony Brook, March 1820, 2016
 50th Spring Topology and Dynamical Systems Conference, Special Session in Dynamical Systems, Baylor University, TX, March 913, 2016
 Dynamics Seminar, University of Michigan, October 26, 2015
 Dynamics Seminar, University of Toronto, September 28, 2015
 Dynamical Developments: a conference in Complex Dynamics and Teichmuller theory, in honor of the
70th birthday of John Hubbard, Bremen, Germany, August 1720, 2015
 International Congress of Romanian Mathematicians, special session on "Dynamics and Ergodic Theory",
Iasi, Romania, June 26  July 1, 2015
 Dynamics Seminar, Cornell University, April 17, 2015
 Dynamics Seminar, An Afternoon on Hénon Dynamical Systems, Imperial College London, March 12, 2015
 The International Congress of Mathematicians (ICM), special session on "Dynamical Systems and Ordinary
Differential Equations", short communication, Seoul, South Korea, August 1321, 2014
 Sixth Iberoamerican Congress on Geometry, CUNY, May 2024, 2014
 CMS Winter Meeting, special session on "Holomorphic Dynamics and Related Topics", Ottawa, Canada,
December 68, 2013
 Joint International Meeting of the American Mathematical Society (AMS) and the Romanian Mathematical
Society (RMS), special session on "Complex Geometry and Dynamics", Alba Iulia, Romania, June 2730, 2013
 Seminário de Sistemas Dinâmicos, University of São Paulo, Brazil, October 3, 2012
 Interactions between continuous and discrete holomorphic dynamical systems, Banff,
Canada, July 813, 2012
 Analysis Seminar, Cornell University, February 13, 2011