Arash Ghaani Farashahi

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

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


  • 2008-2012, PhD. in Pure Mathematics-Mathematical Analysis
  • 2007-2008, M.Sc. in Pure Mathematics
  • 2003-2007, B.S. in Pure Mathematics

Research groups and institutes

  • Pure Mathematics
  • Theoretical Physics
  • Analysis
<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="">research opportunities</a> allow you to search for projects and scholarships.</p>