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 - present: Professor, University of York
• 2015 - present : 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 Mathematics
• 2009 - 2014: Member of the Departmental Senior Management Team
• 2004 - 2015: Member of the Departmental Research Committee
• 2021 -         : Member of the Departmental Equality & Good Practice Committee

University roles

• 2016 - 2020:  Member of the University Senate
• 2017 – present: Member of the EPSRC Expert Group
• 2020 – present: Member of the University Academic Promotions Committee
• 2021 - present: Chair  of the Faculty Promotions Panel  

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.

Supervision

• Bethany Dixon - bd723@york.ac.uk
• Ying Wai Lee - yl5724@york.ac.uk
• Dorsa Vakilzadeh Hatefi - sdvh500@york.ac.uk