Ayreena Bakhtawar

I am currently a postdoctoral researcher at the University of Vienna and project leader of the ESPRIT project "Dynamics induced by continued fractions", funded by Austrian Sceience Fund (FWF).

Previously, I was an  Assistant Professor (adjunct) at the  Institute of Mathematics of Polish Academy of Sciences (IM PAN)  and  a member of IM PAN Dynamical System Group.  

I also held a Junior visitor position at the Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore, Pisa,  Italy, under the supervision of Stefano Marmi.

Before that, I was a Postdoctoral Research Associate at the University of New South Wales Sydney, Australia, under the supervision of John Roberts and  Alina Ostafe.

 I hold  Adjunct Research Fellow  status at the Department of Mathematical and Physical Sciences,  La Trobe University,  Australia.

Research Interests

Analytic number theory, Diophantine approximation, fractal geometry, symbolic dynamics, Ergodic Theory and Dynamical Systems

I am interested in exploring the Hausdorff dimension theory of fractals and the ergodic theory of dynamical systems that comes from various versions of continued fractions. My research also investigates  the connection between the continued fractions, Diophantine approximation and fractal geometry.

https://orcid.org/0000-0002-5025-1241