Dr Joel Mitchell MSci, MA, PhD

Dr Joel Mitchell

Institute of Cancer and Genomic Sciences
Research Fellow

Contact details

Email
j.s.mitchell@bham.ac.uk
View my research portal
Address
Centre for Computational Biology
Institute of Cancer and Genomic Sciences
University of Birmingham
Edgbaston
Birmingham
B15 2TT

Joel Mitchell is a Research Fellow in the Institute of Cancer and Genomic Sciences with an interest in topology and how it may be used to gain novel insights into large datasets.

Qualifications

  • PhD in Pure Mathematics, University of Birmingham, 2021

  • MA in Philosophy, University of Birmingham, 2016

  • MSci (Hons) in Mathematics, University of Birmingham, 2015

Biography

Joel Mitchell studied Mathematics, with a specialisation in topology, at the University of Birmingham, receiving an MSci in 2015. Following this, he studied for an MA in Philosophy at the same institution, with a primary interest in free will and classical theism. Since 2016, Joel has been studying for a PhD in Pure Mathematics at the University of Birmingham.

Research

Joel’s research involves identifying underlying structure in a series of large biomedical datasets. During his PhD, Joel worked in topological dynamics, with a focus on the pseudo-orbit tracing property, limit sets, and mathematical notions of chaos.

Publications

Recent publications

Article

Mitchell, J 2022, 'When is the beginning the end? On full trajectories, limit sets and internal chain transitivity', Topology and its Applications, vol. 306, 107934. https://doi.org/10.1016/j.topol.2021.107934

Good, C, Leek, R & Mitchell, J 2020, 'Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited', Discrete and Continuous Dynamical Systems, vol. 40, no. 4, pp. 2441-2474. https://doi.org/10.3934/dcds.2020121

Good, C, Macias, S, Meddaugh, J, Mitchell, J & Thomas, J 2020, 'Expansivity and unique shadowing', Proceedings of the American Mathematical Society, vol. 149, no. 2, pp. 671-685. https://doi.org/10.1090/proc/15204

Good, C, Mitchell, J & Thomas, J 2020, 'On inverse shadowing', Dynamical Systems. https://doi.org/10.1080/14689367.2020.1739228

Good, C, Mitchell, J & Thomas, J 2020, 'Preservation of shadowing in discrete dynamical systems', Journal of Mathematical Analysis and Applications, vol. 485, no. 1, 123767, pp. 1-39. https://doi.org/10.1016/j.jmaa.2019.123767

Good, C, Mitchell, J & Meddaugh, J 2020, 'Shadowing, internal chain transitivity and α-limit sets', Journal of Mathematical Analysis and Applications, vol. 491, no. 1, 124291. https://doi.org/10.1016/j.jmaa.2020.124291

Mitchell, J 2019, 'Orbital shadowing, ω-limit sets and minimality', Topology and its Applications, vol. 268, 106903. https://doi.org/10.1016/j.topol.2019.106903

View all publications in research portal

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