Personal Information
I am currently a visiting fellow at the Open University in Milton Keynes, UK in Dr. Reem Yassawi's group. I am currently supported by the German Academic Exchange Service (DAAD) through the Postdoctoral Researchers International Mobility Experience (PRIME) Programme. I was previously a postdoctoral research associate at Bielefeld University, under Michael Baake's group. I completed my PhD (Dr. Math.) in June 2019 at the same university, under the supervision of Dr. Michael Baake and Dr. Franz Gähler. My PhD thesis is entitled "Lyapunov Exponents in the Spectral Theory of Primitive Inflation Systems". For this work, I was awarded the Dissertationspreis by the Universitätsgesellschaft Bielefeld for the best PhD dissertation for the Faculty of Mathematics in 2019. My research is focused on substitution dynamical systems and their generalisations, which include
  • Random substitutions
  • Substitutions on infinite alphabets
  • Regular sequences
  • Multi-dimensional substitution shifts
I mainly look at spectral (diffraction, spectral measures) and dynamical (mixing, extended symmetries, invariant measures) properties, and how they relate to the defining parameters and features of the system. This lies within interactions between dynamical systems, ergodic theory, number theory, and harmonic analysis. In particular, I am currently working on projects anchored on renormalisation and self-similarity as central themes in studying dynamical systems composed of either sequences, point sets, tilings, or measures.

Among my other topics of interest are other areas in mathematical physics, such as deformation quantisation and discrete Schrödinger operators.

When I am not doing Maths, most likely I am playing volleyball or playing the guitar.

For students, please go to the "Teaching" tab.

Upcoming Talks and Conferences
  1. Almost Periodicity in Aperiodic Order
    Banff International Research Station, September 9-11,2022
  2. The pursuit of symmetry: A conference in honour of the 80th birthday of Robert V. Moody
    The Fields Institute, April 25-29,2022
  3. Extended symmetries in symbolic dynamics
    Together with Álvaro Bustos, I co-organised this two-day workshop, which took place at Bielefeld University on 18-19 October 2021.
  4. 25th Congress of the International Union of Crystallography (IUCr)
    Prague (hybrid), August 14-22, 2021