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.
Supervision
- Postdoctoral research projects supervised and co‑supervised.
- Postdoctoral research projects to commence in 2023/24.
- Complexity of random substitution tilings.
- Postdoctoral research projects supervised and co‑supervised.
- Deciphering the 3D structure of the epigenome for improved cancer diagnostics.
- Rauzy fractals of random substitutions.
- Postdoctoral research projects to commence in 2023/24.
- Doctoral Supervision
- Current doctoral research project supervision
- Topological games and dimensionality
- Doctoral research projects supervised
- Complexity of dynamical systems arising from random substitutions in one dimension
- Current doctoral research project co-supervision
- Discrete and continuous aspects of Lipschitz mappings
- Fractal Martin boundaries
- Preservation of shadowing by factor maps
- Random β-transformations
- Topological data and fractal analysis of cancer cell
- Doctoral research projects co-supervised
- Finite and infinite rotation sequences and beyond.
- Measure–geometric Laplacians on the real line.
- Regularity of aperiodic subshifts.
- Current doctoral research project supervision
- Masters dissertations supervised and co‑supervised.
- MSc theses.
- Annihilating continued fractions.
- Diffusion on nested fractals.
- Entropy of the 1d–Greenberg–Hastings model.
- Hausdorff dimension of graphs of Weierstrass functions.
- Intermediate β–shifts of finite type.
- Fractals as Martin boundaries.
- Spectral asymptotics of measure geometric Laplacians.
- The mass transference principle.
- MSci theses.
- Hilbert’s curve and its friends.
- Space filling curves.
- Winning sets and their Hausdorff dimension (current).
- MSc theses.
- Undergraduate dissertations supervised and co‑supervised.
- BSc theses.
- Chacon–Ornstein ergodic theorem and applications.
- Senior projects.
- An introduction to fractal geometry.
- Research skills projects.
- A brief history of cryptography.
- A study into the aerodynamics of performance cars.
- A study of Sudoku.
- Game ranking systems.
- How long is a piece of string: A paradox of length.
- Leonhard Euler and the five room puzzle.
- Modelling stock market volatility with GARCH-type models.
- Panel data regression analysis and its applications.
- BSc theses.
- Undergraduate research projects supervised and co‑supervised.
- Continuity of entropy of Lorenz maps.
- Counterexamples in analysis.
- Mathematics and music.
- Space filling curves and turtle walks.
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.