Dr Arash Ghaani Farashahi

Dr Arash Ghaani Farashahi


I am Arash, a Persian mathematician, born in 1985 in Mashhad, Iran. I was trained as a harmonic analyst. My research interests and experiences consist of a wide range between pure mathematics (Representation Theory & Abstract Harmonic Analysis & Operator Theory), applied mathematics (Constructive Approximation & Mathematical Physics), mathematical modeling, and computational science. As a personal rule, I am always looking for new challenges and adventures in science. I did my PhD in pure mathematics (Classical Mathematical Analysis) at Ferdowsi University of Mashhad (FUM) in Iran (where I had also obtained my BSc and MSc in pure mathematics), on abstract non-commutative harmonic analysis methods in coherent state/covariant transforms.

Research interests

  • Representation Theory and Non-Abelian Fourier Analysis
  • Abstract (Classical) Harmonic Analysis
  • Functional/Harmonic Analysis using Coherent States and Mathematical Physics
  • Applied Harmonic Analysis
  • Computational and Numerical Harmonic Analysis 


  • 2017 - 2019, Postdoctoral Researcher, Whiting School of Engineering, Johns Hopkins University
  • 2016 - 2017, Postdoctoral Researcher, Faculty of Mathematics, University of Vienna
  • 2015 - 2016, Visiting Postdoctoral Researcher, Hausdorff Research Institute, University of Bonn
  • 2012 - 2015, Postdoctoral Researcher, Faculty of Mathematics, University of Vienna
  • 2008 - 2012, PhD. in Pure Mathematics-Mathematical Analysis, Ferdowsi University of Mashhad

Research groups and institutes

  • Pure Mathematics
  • Theoretical Physics
  • Analysis and Applications
<h4>Postgraduate research opportunities</h4> <p>We welcome enquiries from motivated and qualified applicants from all around the world who are interested in PhD study. Our <a href="https://physicalsciences.leeds.ac.uk/research-opportunities">research opportunities</a> allow you to search for projects and scholarships.</p>