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The Australian National University

Dr Timothy Trudgian

BSc (Hons) ANU 2005, DPhil Oxf 2010
ARC Early Career Research Fellow
ANU College of Physical and Mathematical Sciences
T: + 61 2 6125 3620

Areas of expertise

  • Algebra And Number Theory 010101

Research interests

Analytic Number Theory


I graduated from the Australian National University in 2005, and received a General Sir John Monash Award to study overseas. In early 2010 I was awarded my DPhil from the University of Oxford, having studied under Prof. D.R. Heath-Brown.

I once took 6/24 in a college cricket match bowling an optimistic variety of medium-pace. I rather suspect that the opposition reversed their batting order.

During 2009-2010 I was a Lecturer in Mathematics at Merton College, Oxford. During 2010-2012 I was a postdoctoral research fellow at the University of Lethbridge.

Current student projects

  • Jeffrey Lay, PhD Student, Oscillation Theorems, commenced November 2014
  • David Quarel, Honours Student, Chen's constant and Goldbach's conjecture, commenced July 2016


Past student projects

  • Benedict Morrissey, Summer Research Scholar, Zero-density theorems for the Riemann zeta-function, 2012-2013
  • Shuhui He, Summer Research Scholar, Exploring exponent pairs, 2012-2013
  • Eloise Hamilton, Summer Research Scholar, Explicit bounds on the nth prime number, 2013-2014
  • Nam Ho, Summer Research Scholar, Elliptic curves and triangle problems, 2013-2014
  • Jeffrey Lay, Honours Student, On the multiplicities of the zeroes of the Riemann zeta-function, 2013-2014
  • Kirsty Chalker, Summer Research Scholar, Zeroes of the Riemann zeta-function on the critical line, 2014-2015
  • Owen Hearder, Summer Research Scholar, Explicit divisor sums, 2014-2015
  • Kam-hung Yau, Summer Research Scholar, Gaps between zeroes of the Riemann zeta-function, 2014-2015
  • Madeleine Kyng, Summer Research Scholar, Consecutive primitive roots modulo a prime, 2015-2016
  • Mitchell Chiew, Summer Research Scholar, Square-free numbers in short intervals, 2015-2016
  • Jakob Vtv, Summer Research Scholar, Consecutive square-free numbers, 2015-2016
  • Adrian Dudek, PhD Student, Explicit estimates for prime numbers, 2012-2016.
  • Kirsty Chalker, Honours Student, Explicit bounds on the sums of two arithmetic functions, 2016
  • Morgan Hunter, Honours Student, Bounds on the least square-free primitive root modulo a prime, 2016


Projects and Grants

Grants are drawn from ARIES. To add Projects or Grants please contact your College Research Office.

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Updated:  28 February 2017 / Responsible Officer:  Director (Research Services Division) / Page Contact:  Researchers