Supervision and Teaching
Since 2020, I have been a Fellow of the Higher Education Academy, and for my dedication to teaching and learning, in 2018, I was honoured to have received the Terrance Harris Excellence in Mentorship Award from California Polytechnic State University.
I have held several leadership roles at the University of Birmingham, for instance, from 2022 to 2024, I led the Topology and Dynamics Research Group, in the academic year 2023/24, I chaired the School of Mathematics’ Information Technology and Digital Delivery Committee, and from 2020 to 2023, I was a Director of Student Experience.
Below is a selection of research projects and dissertations I have supervised as well as a list of lecture courses I have taught. Enquiries from potential postdoctoral researchers, as well as research students and visitors, are always welcome.
Supervision
- Postdoctoral research projects supervised and co‑supervised.
- Ultrasound signal analysis for diagnosing and predicting battery cell defects (2024-2025).
- Complexity of random substitution tilings (2023-2024).
- Deciphering the 3D structure of the epigenome for cancer diagnostics (2021-2022).
- Rauzy fractals of random substitutions (2019-2020).
- Doctoral supervision and co‑supervision.
- Discrete and continuous aspects of Lipschitz mappings (current).
- Fractal Martin boundaries (current).
- Morphology of mitochondria in breast cancer cells (current)
- Preservation of shadowing by factor maps (current).
- Random β-transformations (current).
- Topological games and dimensionality (current).
- Complexity of dynamical systems arising from random substitutions (2019-2023).
- Finite and infinite rotation sequences and beyond (2015-2019).
- Measure–geometric Laplacians on the real line (2014-2018).
- Regularity of aperiodic subshifts (2014-2018).
- Masters dissertations supervised and co‑supervised.
- Monochromatic arithmetic progressions — The metallic mean case (2024-2025).
- An investigation into Schmidt games (2023-2024).
- Hilbert’s curve and its friends (2020-2021).
- Space filling curves (2019-2020).
- Annihilating continued fractions (2017-2018).
- Intermediate β–shifts of finite type (2017-2018).
- The mass transference principle (2017-2018).
- Fractals as Martin boundaries (2015-2016).
- Entropy of the 1d–Greenberg–Hastings model (2014-2015).
- Hausdorff dimension of graphs of Weierstrass functions (2014-2015).
- Spectral asymptotics of measure geometric Laplacians (2013-2014).
- Diffusion on nested fractals (2013-2014).
- Undergraduate dissertations supervised and co‑supervised.
- A brief history of cryptography (2022-2023).
- A study into the aerodynamics of performance cars (2022-2023).
- A study of Sudoku (2022-2023).
- Game ranking systems (2022-2023).
- How long is a piece of string: A paradox of length (2022-2023).
- Leonhard Euler and the five room puzzle (2022-2023).
- Modelling stock market volatility with GARCH-type models (2022-2023).
- Panel data regression analysis and its applications (2022-2023).
- An introduction to fractal geometry (2015-2016).
- Chacon–Ornstein ergodic theorem and applications (2013-2014).
- Undergraduate research projects supervised and co‑supervised.
- Mathematics and music (2023).
- Portfolio analysis (2022).
- Continuity of entropy of Lorenz maps (2017).
- Counterexamples in analysis (2017).
- Space filling curves and turtle walks (2017).
Lecture courses
- University of Exeter, UK.
- Stanford University, USA.
- STATS 118: Probability Theory for Statistical Inference.
- University of Birmingham, UK.
- 2 MVA: Multivariable and vector analysis.
- California Polytechnic State University, USA.
- Universität Bremen, Germany.
- Fractal geometry.
- Markov chains.
- University of St Andrews, UK.
- MT 1003: Pure and applied mathematics.