# 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*.

- 2 MVA:
- California Polytechnic State University, USA.
- Universität Bremen, Germany.
*Fractal geometry*.*Markov chains*.

- University of St Andrews, UK.
- MT 1003:
*Pure and applied mathematics*.

- MT 1003:

## Tutoring and demonstrating

- University of Birmingham, UK.
- 1 PS:
*Probability and statistics*.

- 1 PS:
- 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*.

- Postgraduate: