Personal Information
I am currently a postdoctoral research associate at Bielefeld University in Germany and a member of Dr. Michael Baake's group under Project A6 of SFB1283. I was previously a visiting fellow at the Open University in Milton Keynes, UK in Dr. Reem Yassawi's group as a DAAD PRIME Fellow.
I completed my PhD (Dr. Math.) in June 2019 at Bielefeld 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 hierarchical dynamical systems, in particular, substitution dynamical systems and their generalisations. These include
- Random substitutions
- Substitutions on infinite alphabets
- Regular sequences
- Multi-dimensional substitution shifts
- S-adic 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.
Recent and upcoming Conferences in Aperiodic Order
- The five-day Grimm Network conference Huntonfest will be held at Durham, UK to celebrate John Hunton's 60th Birthday. Details can be found on the website.
- Together with Reem Yassawi, David Damanik, Natalie Frank, and Nicolae Strungaru, I am co-organising the conference Directions in Aperiodic Order, which will take place at the Banff International Research Station (BIRS) in Banff, Canada on July 27-August 1, 2025.
- Together with Chris Ramsey and Nicolae Strungaru, I am co-organising the summer school Mini Summer School on Aperiodic Order. This takes place at MacEwan University in Edmonton, Canada from July 25-26, 2025.
- The 16th International Conference on Quasicrystals (ICQ16) is taking place on June 22-27, 2025 in Nancy, France. Further information including registration and abstract submission deadlines can be found on the conference website.
- Together with David Damanik and Nicolae Strungaru, I am organising co-organising the conference Algebra, Analysis, and Aperiodic Order, which takes place on August 12-16, 2024 at Bielefeld University. More details can be found on the conference website. Those who wish to participate are asked to register via the link provided on the website.
