Dr Timothy Trudgian
Areas of expertise
- Algebra And Number Theory 010101
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.
- Jeffrey Lay, PhD Student, Oscillation Theorems, commenced November 2014
- David Quarel, Honours Student, Chen's constant and Goldbach's conjecture, commenced July 2016
- 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
Grants are drawn from ARIES. To add Projects or Grants please contact your College Research Office.
- Explicit methods in number theory: computation, theory and application (Primary Investigator)
- Verifying the Riemann hypothesis to large heights: theory and applications (Primary Investigator)
- A new upper bound for the Riemann zeta-function and applications to the distributions of prime numbers (Primary Investigator)