Amlan Banaji

I am a Marie Skłodowska-Curie Actions (MSCA) postdoctoral fellow in mathematics at the University of Jyväskylä in Finland, where I work with Tuomas Orponen. From 2023 to 2025, I was a postdoctoral researcher at Loughborough University, working with Simon Baker. I completed my PhD at the University of St Andrews in 2023, under the supervision of Jonathan Fraser and Kenneth Falconer. Before this, I completed my undergraduate degree in mathematics at the University of Cambridge.

My main research interests lie in geometry and analysis, particularly in questions concerning fractal sets and measures. Fractals are intricate and often beautiful mathematical objects which exhibit complexity over a wide range of scales. They often arise naturally through dynamical processes, for example from conformal or non-conformal iterated function systems. I am especially interested in the rate of decay of the Fourier transforms of stationary measures for such systems; this is the subject of my MSCA fellowship ‘Fourier Decay for Nonlinear Fractal Measures.’ Another strand of my research explores different notions of dimension that provide refined information about the global and local scaling properties of sets and measures. I enjoy finding connections between these topics and other areas of mathematics such as number theory, probability, and dynamical systems.

Contact details

Department of Mathematics and Statistics
Agora, Mattilanniemi 2
University of Jyväskylä
Jyväskylä, 40100
Finland

Email: banajimath “at” gmail “dot” com