Group Members
Staff

Collin Bleak
My research is in studying infinite groups of homeomorphisms via properties of their actions. In this study I employ tools from various fields including algebra, theoretical computer science, combinatorics, symbolic dynamical systems, and analysis.
Webpage.

Kenneth Falconer
My research centres around the geometry of fractals and multifractals, geometric measure theory, dimension theory, dynamical systems and probability. Specific topics include selfaffine sets and measures, sections and projections of fractals, random fractals and stochastic processes, and applications of fractals to other areas.
Webpage.

Jonathan Fraser (Head of Group)
My research interests centre on fractal geometry and its connections with other areas of mathematics, such as: geometric measure theory, ergodic theory, Fourier analysis, and hyperbolic geometry. Particular topics include: selfaffine sets, selfsimilar sets with overlaps, limit sets of Kleinian groups, and Fourier transforms of random measures associated with Brownian motion.
Webpage.

Natalia Jurga
My research interests lie in the interplay between dynamical systems, ergodic theory and fractal geometry. More specific topics include: dimension theory of dynamical systems, random matrix products, selfaffine sets, transfer operator methods and thermodynamic formalism.
Webpage.

Istvan Kolossvary
My current research interest is in fractal geometry and geometric measure theory, mainly concentrated around the dimension theory of selfaffine sets and measures.
Webpage.

Lars Olsen
My research covers all aspects of fractal and multifractal geometry and geometric measure theory, including work on selfaffine sets and measures, fractals defined by digits of numbers, typical structure of fractal sets and measures, etc.
Webpage.

Mike Todd
I work in ergodic theory and dynamical systems, applying ideas from probability and thermodynamic formalism to study expansion and recurrence properties of, mostly, smooth low dimensional systems. Topics include Return Time Statistics, Extreme Value Theory, statistical stability, equilibrium states, phase transitions and transience.
Webpage.

Alexia Yavicoli
My research interest is focused in fractal geometry. I am also interested in its relationships with other areas of mathematics, such as geometric measure theory, number theory, ergodic theory, harmonic analysis, and probability.
Webpage.
Ph.D Students

Amlan Banaji
I am interested in fractal geometry, in particular interpolating between different notions of dimension, and PDEs on fractal domains.

Stuart Burrell
My research looks at the dimension theory of inhomogeneous sets, and dimension spectra of projections.
Webpage.

Haipeng Chen (visiting)
My current research interests are Assouad type dimensions and dimension spectra of fractal sets. I am also interested in the regularity dimension of measures.

Douglas Howroyd
I am currently interested in fractal geometry and dimension theory, notably the study of selfaffine sponges.
Webpage.

Nayab Khalid
I study the groups of homeomorphisms (rearrangements) of selfsimilar spaces (fractals). The dynamical properties I'm studying include generation, conjugacy and centralizers  among other things.

Lawrence Lee
I'm currently interested in the dimension theory of selfaffine measures. I'm also interested in applications of fractal geometry to other areas of mathematics, particularly Diophantine approximation.
Webpage.

Liam Stuart
I am interested in fractals and dimension theory, in particular limit sets of geometrically finite Kleinian groups and Julia sets of parabolic rational maps.

Junda Zhang (visiting)
My current research interests are around the structure of selfaffine sets like BedfordMcmullen carpets and IFSs that don't satisfy the OSC. I am also interested in harmonic analysis, including Fourier analysis and fractal analysis like walking dimensions for nonPCF sets and dynamic systems in phase transition.
Recent Staff
Recent Ph.D Students
Emeritus Staff

John McCabe
My research interests have generally been in rational approximation, and pade approximation and the related continued fractions in particular. In collaboration with others, mainly overseas and including my Ph.D students, I have worked on strong moment problems.
Webpage.

George Phillips
Webpage.