Daniel Johnston

HDR Student

PhD Study Opportunities

Are you interested in Graduate Research?  Explore some of the PhD Study Opportunities at UNSW Canberra.  We offer a diverse range of Scholarships Opportunities to domestic and international students to suit you and your situation.

Scholarships of $35,000 (AUD) are available for PhD applicants who achieved H1 (High Distinction) in their undergraduate program and/or have completed a Masters by Research.

Location: Room 114, Building 26.


Bachelor of Science – The University of Melbourne 2017.

Master of Science (Mathematics and Statistics) – The University of Melbourne 2020.

Current Research Projects:

Explicit results on the sum of a prime and almost prime.

Research activities & publications:

  • Masters thesis – Defining Newforms in Characteristic p. Supervised by Alex Ghitza.
  • On the sum of a prime and a square-free number with divisibility conditions, submitted, 2021
  • On the error term in the explicit formula of Riemann-von Mangoldt, submitted, 2021
  • Improving bounds on prime counting functions by partial verification of the Riemann hypothesis, The Ramanujan Journal (to appear), 2022
  • On the average value of π(t)-li(t), Canadian Mathematical Bulletin, 2022
  • Some explicit estimates for the error term in the prime number theorem, submitted, 2022
  • Exact formulae and Turán inequalities for Vafa—Witten invariants of K3 surfaces, submitted, 2022

Link to CV

Organisational units
lensSchool of Science