Abridged CV
By trade, I am an analytic number theorist, which means I borrow tools from complex analysis and use them to solve number theory problems that usually revolve around primes in algebraic number fields. In particular, I am interested in classical results (such as the prime number theorem), generalisations of these classical results, and explicit results. For me, an explicit result is one in which all of the implied constants in big-O notations are completely described. Due to the nature of my research, I do a lot of theory-informed computations, for which I use Python (some of this code is available on GitHub), and I also do work on special values of L-functions.
All of my research articles and authored (to-date) are presented on my home page.
Education and Academic Positions
Mathematics BSc (Hons) at Keele University (2015-17).
Pure Mathematics and Mathematical Logic MSc at the University of Manchester (2017-18).
Mathematics PhD at UNSW Canberra at ADFA (submitted Oct. 2022, awarded Jan. 2023), supervised by Prof. Tim Trudgian.
Heilbronn Research Fellow at the University of Bristol (Oct. 2022 - present).
Other Employment and Positions
Games Mathematician at Gaming Laboratories International UK Gaming Ltd. (2018-19) and Quik Ltd. (2021-22).
Casual Academic for a range of subjects at UNSW Canberra (2020-2022).
Editorial Assistant for Integers journal (2021 - present).
Co-lead with Peng-Jie Wong at the IPENT Summer School on the research project explicit zero-free regions for the Dedekind zeta-function.
Seminar and Conference Organisation
January 2024 - present: An organiser of the Heilbronn Number Theory Seminars at the University of Bristol.
March 2023 - December 2023: An organiser of the Linfoot Number Theory Seminars at the University of Bristol.
January 2023: Organiser (and quiz-master) of the Number Theory Day at the University of Bristol. (Quiz-master of the 2024 event too.)
Invited Talks
"Conditional bounds for the error in the prime number theorem" at the University of Lethbridge CRG Weekly Seminars, 2024.
"Consequences of the Riemann Hypothesis" at the Keele Univiersity Discrete Mathematics Seminar, 2024.
"What does the Riemann Hypothesis tell us about primes?" at the Series B Math Meetups (University of Newcastle, Australia), 2023
"The error in the prime number theorem" at the UNSW Canberra Number Theory Seminar, 2023.
"Explicit residue estimates in number fields" at the University of Manchester Number Theory Seminar, 2023.
"Counting integral ideals in a number field" at the Great Western Number Theory Seminar, 2022.
"Investigations into Mertens' function" at University of Bristol Linfoot Seminar, 2022.
"Counting integral ideals in a number field" at Charles University Number Theory Seminar, 2022.
"Explicit residue estimates in number fields" at University of Bristol Linfoot Seminar, 2021.
"Goldbach’s conjecture and square-free numbers" at University of Lethbridge Number Theory and Combinatorics Seminar, 2020.
UNSW Canberra Number Theory Seminars.
Conference Presentations
"The distribution of primes in arithmetic progressions" at Number Theory Down Under 11, 2023.
"The number of integral ideals in a number field" at Integers Conference, 2023.
Short talks at Foundations and Applications of Lattice-based Cryptography Workshop and ELAZ, 2022.
"Explicit estimates for the residue of the Dedekind zeta-function" at 65th Meeting of the Australian Mathematical Society, 2021.
"Four methods to prove Mertens' theorems" at Number Theory Down Under 9, 2021.
"Mertens' theorems for number fields" at Young Researchers in Algebraic Number Theory III, 2021.
“Mertens' theorems” at Canberra Number Theory Days, 2021.
“Comparing results to study the distribution of prime ideals in a number field” at 64th Meeting of the Australian Mathematical Society, 2020.
“On a new zero-free region for the Dedekind zeta-function” at Number Theory Down Under 8, 2020.
“What do Riemann, zeros and primes have in common?” at Canberra Number Theory Days, 2020.
“On a new zero-free region for the Dedekind zeta-function” at 63rd Meeting of the Australian Mathematical Society, 2019.
“Chebotarev’s density theorem” at Number Theory Down Under 7, 2019.
Teaching Experience
I was involved in delivering the following courses at UNSW Canberra:
ZPEM2310 Engineering Mathematics 2B [S2, 2021]
ZINT2100 Introduction to Cyber Security: Policy and Operations [S1, S2, 2021]
ZPEM1307 Computational Problem Solving [S1, 2021], [S1, 2022]
ZPEM1501 Physics 1A [S1,2022]
I also have experience teaching at secondary school level, as a SCITT Intern with the Stoke-on-Trent Mathematics Excellence Partnership from 2016-17. Highlights include:
School Experience Internship at Trentham High School. (Duration: 7-weeks)
Co-created Keele University’s Funmaths Roadshow.
Running intervention classes for lower ability students at Birches Head Academy.
Supervision
I have supervised the following Masters-level students:
Rowan O'Clarey
Pawel Nosal
More Outreach
Academic speaker representing Mathematics at the University of Bristol's Virtual Summer School 2024, a scheme to introduce students from widening participation/minority backgrounds to mathematics at university. Overwhelmingly positive feedback.
Contributed to the Access to Bristol scheme at the University of Bristol in 2023. The scheme provides opportunities for local Year 12, 13, and mature students to visit Bristol and engage in sessions with academics. Received overwhelmingly positive feedback.
Training
Graduate Teacher Training Programme at UNSW Canberra. Completed with Merit in Semester 1, 2020.
Duration: 13 weeks.Teacher Training Programme at Stoke-on-Trent Mathematics Excellence Partnership, 2016.
Duration: 7 weeks.