Information for Prospective Students

General information

The number theory group is expanding, and keen to attract new postgraduate students. In addition to the usual number theory seminars that are organised each week of term, we organise a weekly  junior number theory seminar. The emphasis on the latter is a low pressure environment in which students take turns to give talks. We also try to organise social events throughout the year.

Potential supervisors

The following is a list of members of the department who are willing to take on new graduate students.

Professor du Sautoy 

Possible research areas - Zeta-functions of groups.

Past Students

  • M. Berman
  • A. Evseev
  • P. Paajanen (Thesis title - Zeta functions of groups and algebraic geometry - DPhil, 2005) 
  • L. Woodward (Thesis title - Zeta functions of groups: computer calculations and functional equations - DPhil, 2005)
  • C. Voll (Thesis title - Zeta functions of groups and enumeration in Bruhat-Tits buildings - PhD, 2002)

Prof Flynn

Possible Research Areas - Arithmetic Geometry, Jacobians of Curves

Past Students

  • Andy Stubbs (Thesis title - Hyperelliptic Curves - PhD, Liverpool, 2000)
  • Joanne Redmond (Thesis title - Coverings of Families of Curves of Genus 2 - PhD, Liverpool, 2001)
  • Anna Arnth-Jensen
  • Frank Gounelas

Professor Heath-Brown

Possible research areas - analytic number theory, analytic methods in Diophantine geometry, prime number theory; but not the Riemann Zeta-function or other Zeta/L-functions.

Current students

 

Past students

  • C. Ringrose (Thesis title - The q-analogue of van der Corput's method - DPhil, 1985) 
  • C. Pinner (Thesis title - Topics in analytic number theory - MSc, 1989)
  • S. Dyke(Thesis title - Topics in analytic number theory -  DPhil, 1992)
  • C.-R. Guo (Thesis title - Solvability of Quadratic Equations - DPhil, 1993)
  • D. Shiu (Thesis title - Prime numbers in Arithmetic Progressions - DPhil, 1996)
  • A. Peck (Thesis title - On the differences between consecutive primes- DPhil, 1996)
  • T. Rhodewald
  • J. Haugland (Thesis title - Application of sieve methods to prime numbers - DPhil, 1998) 
  • T. Browning (Thesis title - Counting rational points on curves and surfaces - DPhil, 2001) 
  • L. Pierce (Thesis title - The 3-part of class numbers of quadratic fields - MSc, 2004)
  • G. Marasingha (Thesis title - On pairs of quadratic forms - DPhil, 2005) 
  • Nic Niedermowwe (Thesis title - Zeros of forms with S-unit argument - DPhil, 2008)
  • F.-S. Leung (Thesis Title - Manin's Conjecture On A Non-singular Quartic del Pezzo Surface - DPhil, 2008)
  • T. Trudgian (Thesis title - Further Results on Gram's Law - DPhil, 2009)
  • J. Zahid (Thesis title - Zeros of p-adic Forms - DPhil, 2009)
  • W. Schlackow (Thesis title - A sieve problem over the Gaussian integers - DPhil, 2011)
  • J. Bredberg (Thesis title - On large gaps between consecutive zeros, on the critical line, of some
    zeta-functions - DPhil, 2011)

Dr Lauder

Possible research areas - computational number theory

Current students

  • Sebastian Pancratz
  • Jan Vonk