Gustav Kjærbye Bagger

I am a PhD candidate in number theory at UNSW Canberra. My research interests include cyclotomic fields, splitting behaviour of prime ideals across Galois extensions and Artin's primitive root conjecture. Previously, I have worked on problems related to finding primitive elements in subsets of finite fields and norm-Euclideanity in cyclic cubic extensions. Outside mathematics, I enjoy hiking, climbing, coding and boardgames.

Employment

• Academic tutor, University of New South Wales, 2025-present
• Mathematics teacher, Strinda videregående skole, 2024
• Private tutor, Gotutor Denmark, 2023-2024
• Mathematics teacher, Gauldal videregående skole, 2022-2023

Education

• PhD in Number Theory, University of New South Wales, 2024-present
• Practical Pedagogical Degree, Norwegian University of Science and Technology, 2023
• MSc in Algebraic Structures, Norwegian University of Science and Technology, 2022
• BSc in Pure Mathematics, Imperial College London, 2020

Academic writing

• The modified prime sieve for primitive elements in finite fields, 2025
• The determination of norm-Euclidean cyclic cubic fields, 2025
• Hybrid bounds for prime divisors, 2024
• Representation Schemes for Finitely Generated Groups, 2022

You can also find a more up to date account of my research on ArXiv.

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