Daniel Johnston
HDR Student

Daniel Johnston

Bachelor of Science – The University of Melbourne 2017, Master of Science (Mathematics and Statistics), The University of Melbourne 2020
UNSW Canberra
School of Science
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

 

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.