Supervision and Teaching
I am the Chair of the Information Technology and Digital Delivery Committee for the School of Mathematics at the University of Birmingham. Since 2020, I have been a Fellow of the Higher Education Academy, and from 2020 to 2023 a Director of Student Experience at the University of Birmingham. I am also honoured to have received the Terrance Harris Excellence in Mentorship Award from California Polytechnic State University in 2018.
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
- An Analysis of the Socioeconomic and Environmental Impact of Engineering Design Decisions: Project description – This project will be jointly supervised with Lauren Thomas-Seale (School of Engineering) and Sabrina Kombrink (School of Mathematics).
Supervision
- Postdoctoral research projects supervised and co‑supervised.
- Complexity of random substitution tilings (current).
- 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).
- Preservation of shadowing by factor maps (current).
- Random β-transformations (current).
- Topological data and fractal analysis of cancer cell (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.
- 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 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.
Tutoring and demonstrating
- 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.