Sanju Velani

Profile

Biography

BA (1988), DPhil (1991) University of York. 
 
1992 - 1993      Royal Society European Fellow,  Göttingen.
1993 - 1994      Research Fellow in the SFB 170, Göttingen
1994 - 1998      Lecturer, Imperial College, University of London. 
1998 - 2006      Royal Society University Research Fellow.
1998 - 2000      Lecturer, Queen Mary, University of London.
2000 - 2002     Reader, Queen Mary, University of London.
2002 - 2008     Reader, University of York.
2008 -               Professor, University of York.
 
2015 -                Adjunt Professor, TIFR Mumbai
 
2012 - 2018       Principal investigator of an EPSRC Programme Grant
2004 - 2007      Team leader at York of an INTAS Network
  
I have supervised 12 PhD students.

Departmental roles

2010 - 2014   Chair of Departmental Research Committee
2009 - 2014   Head of Pure Mahematics
2009 - 2014   Member of the Departmental Senior Management Team
2004 - 2015   Member of the Departmental Research Committee

University roles

2017 - present   Member of the EPSRC Expert Group  
2016 - present   Member of the University Senate
 

 

Research

Overview

Number theory, dynamical systems, and discrete groups

Research group(s)

Number Theory Research Group

Available PhD research projects

Victor Beresnevich, Jason Levesley and Sanju Velani work on a variety of problems in metric number theory and Diophantine approximation that involve a range of techniques from Diophantine approximation, analytic number theory, the geometry of numbers, probability theory, fractals and ergodic theory. Some examples include the Duffin-Schaeffer problem on rational approximations to real numbers, problems on approximation by algebraic numbers, problems on badly approximable vectors, problems on Diophantine approximation on manifolds, etc. The Diophantine approximation problems have natural `dynamical' analogues in terms of shrinking targets problems associated with the phase space of a given dynamical system. Victor Beresnevich and Sanju Velani are currently running a large scale research programme and any PhD student would become an integral part of the larger research group. If interested, please, contact either of them for possible PhD research projects.

Teaching

Undergraduate

  • Metric Spaces
  • Analytic Number Theory

Contact details

Prof. Sanju Velani
G/N/101

Tel: +44 1904 32 4599