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.

Available PhD opportunities

• Acoustic scattering by fractal surfaces : The supervisory team for this project includes Anna Rozanova-Pierrat (Université Paris-Saclay), Jan Sieber (University of Exeter) and Tony Samuel (University of Exeter). Further details, including information on how to apply, can be found here. The deadline for applications is 21 March 2026.

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.
  • MTH2008: Real Analysis.
  • MTH 3040: Topology and Metric Spaces.
• 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.
  • Math 142: Calculus II.
  • Math 143: Calculus III.
  • Math 206: Linear algebra I.
  • Math 306: Linear algebra II.
  • Math 440 and Math 540: Topology I.
  • Math 441 and Math 541: Topology II.
  • Math 550: Real analysis.
• Universität Bremen, Germany.
  • Fractal geometry.
  • Markov chains.
• University of St Andrews, UK.
  • MT 1003: Pure and applied mathematics.

Tutoring and demonstrating

• University of Exeter, UK.
  • MTH2008: Real Analysis.
• University of Birmingham, UK.
  • 1 PS: Probability and statistics.
• University of St Andrews, UK.
  • Postgraduate: SMSTC Analysis.
  • Postgraduate: SMSTC Geometry and topology.
  • MT 5865: Measure and ergodic theory.
  • MT 3501: Linear algebra.
  • MT 2005: Discrete mathematics.
  • MT 2002: Algebra and analysis.
  • MT 1003: Pure and applied mathematics.