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Me in Þingvellir, Iceland
About Me
I'm a maths PhD Student (number theory, specifically) at the University of Sheffield. My supervisor is Tobias Berger. Before that, I was an undergraduate at the University of Bristol, where I did an integrated master's in maths.
I'm interested in the algebraic and algebro-geometric aspects of number theory, including Galois representations, automorphic forms, étale fundamental groups, and algebraic K-theory.
My master's project was supervised by Ross Paterson, and was on local fields and local class field theory, more specifically on the approach via Galois cohomology.
Outside of maths, I enjoy playing guitar and learning languages (currently Gaeilge, ach níl ach cúpla focail agam).
Notes
Notes
I enjoy typing up notes in LaTeX when learning about subjects. Occasionally I go a bit overboard and write way too much in my notes. If I ever do this again, I'll include some links here.
Disclaimer: In my notes I rarely use inline references. This is not in an attempt to claim the work as my own, but rather because the notes are written mostly for myself. I do, however, provide a list of sources used in compiling the notes.
Talks
Talks
18/03/2026 Galois Cohomology: A Whistlestop Tour, ShEAF seminar at the University of Sheffield. Notes here.
Seminars organised
Seminars organised
Upcoming Étale fundamental groups reading group, University of Sheffield
Contact
Contact
My Sheffield email address is mlbyrne2(at)sheffield.ac.uk, and my office is J14a in the Hicks Building.
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