MATHEMATICS NOTES
The following are various mathematical writings written by me or to which I have contributed.
Formal reports and theses
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PhD Thesis: Overconvergent Modular Symbols over Number Fields, under the supervision of David Loeffler (WRAP copy)
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PhD First year report: Overconvergent Modular Symbols and p-adic L-functions of Modular Forms
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Part III Essay: p-adic Uniformisation of Elliptic Curves, under the supervision of Tony Scholl
Conference proceedings
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Benasque 2015 notes: Arithmetic of Euler systems
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On p-refined Friedberg-Jacquet integrals (notes from my 2025 RIMS talk)
Lecture notes
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Lecture notes: Introduction to p-adic L-functions (LTCC graduate; now published in Essential Number Theory)
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Lecture notes: p-adic L-functions for modular forms (TCC graduate)
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Lecture notes: Local Fields (Warwick 4th year undergraduate)
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Lecture notes: Coding & Cryptography (Nottingham 3rd year undergraduate)
Longer version of Barrera-Dimitrov-Williams
Daniel, Mladen and I initially wrote a longer version of our Adv. Math. paper, but stripped out many of the details to make it shorter for publication. The version below has exactly the same theorem/lemma/equation numbering as the accepted version, but has more details and motivation throughout, as well as more relaxed formatting .
Other expository notes
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Introduction to Hida theory (notes from Benasque, Aug 2015)
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Overconvergent modular symbols and the eigencurve (notes from Barcelona, Jan 2017)
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P-adic Asai L-functions of Bianchi modular forms (broad brush explanation of my Asai paper with David)
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The Congruent Number Problem and BSD (notes from my Warwick 'Tour of Maths', Nov 2021