Thomas Jordan

Thomas Jordan is a Lecturer in the ergodic theory group within the Department of Mathematics at the University of Bristol. Previously, he worked as a research assistant at Warwick University and completed his PhD under Mark Pollicott. His research focuses on dimension theory of dynamical systems, particularly examining self-similar and self-affine sets, multifractal analysis, thermodynamic formalism, and Fourier transforms of measures.

His primary research interests include:

• Dimension theory of dynamical systems
• Self-similar sets and fractals
• Self-affine sets
• Multifractal analysis
• Thermodynamic formalism
• Fourier transforms of measures
• Ergodic theory

Thomas Jordan's publications reveal a consistent focus on geometric and measure-theoretic aspects of dynamical systems, with particular emphasis on dimensional properties of fractal sets. His work demonstrates strong collaborative relationships with researchers including Mark Pollicott, Michał Rams, Jonathan Fraser, and Henna Koivusalo across numerous publications spanning two decades.

He has organized significant academic events including:

• Projection and Slicing Theorems in Fractal Geometry conference (Bristol, June 2014)
• Special session of the 2016 BMC on ergodic theory (Bristol, April 2016)
• Probability, Analysis and Dynamics workshops (2018, 2022)
• Thermodynamic formalism workshop at ICMS (June 2018)
• Workshop on affine and overlapping iterated function systems (Bristol, May 2022)

Thomas Jordan serves as a key contact for the One Day Ergodic Theory Meetings series, a collaborative effort between multiple UK universities funded by the London Mathematical Society. He teaches first year analysis (Analysis A) and dynamical systems courses at the University of Bristol.