Amlan Banaji

I am a postdoctoral researcher in mathematics at the University of Jyväskylä in Finland, working with Assoc. Prof. Tuomas Orponen. I was previously a postdoc at Loughborough University in the UK, working with Dr Simon Baker. I completed my PhD at the University of St Andrews in 2023, under the supervision of Prof. Jonathan Fraser and Prof. Kenneth Falconer. I completed my undergraduate degree in mathematics at the University of Cambridge in 2018.

My main research interests are in geometry and analysis related to fractal sets and measures. Fractals are intricate and often beautiful mathematical objects which exhibit complexity over a wide range of scales, and often arise in a natural dynamical way, such as via (conformal or non-conformal) iterated function systems. Currently, I am especially interested in the rate of decay of the Fourier transform of stationary measures for such systems. Another strand of my research has been to explore different ways one can define ‘dimension,’ to provide refined information about the global or local scaling properties of classes of sets or measures. I enjoy finding connections between these topics and other areas of mathematics such as number theory and probability theory.

Contact details

Department of Mathematics and Statistics
University of Jyväskylä
Jyväskylä, 40014
Finland

Email: banajimath “at” gmail “dot” com