Ayreena Bakhtawar

Ayreena Bakhtawar is an Adjunct Assistant Professor at the Institute of Mathematics of Polish Academy of Sciences (IM PAN) and a member of the IM PAN Dynamical System Group. She holds an Adjunct Research Fellow position at La Trobe University's Department of Mathematical and Physical Sciences since 2018, with prior roles as a Junior Visitor at Scuola Normale Superiore, Pisa, and a Postdoctoral Research Associate at the University of New South Wales. Her research focuses on the intersection of number theory and dynamical systems.

• Academic Affiliations: IM PAN (Adjunct Assistant Professor), La Trobe University (Adjunct Research Fellow), Scuola Normale Superiore (Junior Visitor), University of New South Wales (Postdoctoral Research Associate)

Research Interests:
Her work explores:
- Hausdorff dimension theory of fractals
- Ergodic theory of continued fractions
- Connections between continued fractions and Diophantine approximation
- Metric properties of dynamical systems

Scientific Output:
Her recent publications (2020-2025) include key contributions to:
- α-Brjuno functions and their minima
- Uniform Diophantine approximation on Hecke groups
- Generalised Hausdorff measures for non-improvable matrices
- Metrical properties of continued fraction products
- Fractal dimension estimation techniques