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• Here are some presentation slides or typed notes for past mathematical talks.
  • Schinzel's hypothesis H
    Study group for open problems in number theory
  • Twisted elliptic L-values over global fields
    Contributed talk for Algebraic Number Theory in Munich on 5 September 2024
  • Denominators of BSD quotients
    Contributed talk for Young Researchers in Algebraic Number Theory in Oxford on 31 July 2024
  • Adèles and cohomology
    Study group for class field theory (9 talks from May 2024 to July 2024) in London on 4 July 2024
  • Elliptic curves in mathlib
    Workshop talk for Formalising Algebraic Geometry in Pasadena (Online) on 26 June 2024
  • Twisted L-values of elliptic curves
    Contributed talk for 75th British Mathematical Colloquium in Manchester on 19 June 2024
  • Diophantine equations
    Colloquium talk for year 1 post exams colloquia in London on 20 May 2024
  • L-values of elliptic curves twisted by cubic characters
    Seminar talk for Linfoot Number Theory Seminars in Bristol on 24 April 2024
  • Kolyvagin's theorem
    Study group for the conjecture of Birch and Swinnerton-Dyer (11 talks from January 2024 to March 2024) in London on 13 March 2024
  • The Brauer–Manin obstruction
    Seminar talk for London Junior Number Theory Seminar in London on 5 December 2023
  • Congruences of twisted L-values
    Study group for what am I doing at the moment (8 talks from October 2023 to December 2023) in London on 19 October 2023
  • The group law on an elliptic curve
    Seminar talk for postgraduate seminar in London on 5 October 2023
  • Twisted elliptic L-values
    Contributed talk for Early Number Theory Researchers Workshop 2023 in Bielefeld on 25 August 2023
  • An elementary formal proof of the group law on Weierstrass elliptic curves in any characteristic
    Conference talk for 14th International Conference on Interactive Theorem Proving in Białystok on 2 August 2023
  • Dual abelian varieties
    Study group for abelian varieties over finite fields (11 talks from January 2023 to March 2023) in London on 18 January 2023
  • Class number formula, à la Tate
    Seminar talk for London Junior Number Theory Seminar in London on 17 January 2023
  • Examples of Brauer groups
    Study group for the Brauer-Manin obstruction (13 talks from October 2022 to March 2023, co-organiser) in London on 30 November 2022
  • Tate's thesis and epsilon factors
    Study group for Galois representations and root numbers (10 talks from October 2022 to December 2022) in London on 22 November 2022
  • Elliptic curves and Mordell's theorem
    Workshop talk for 2022 Xena Project undergraduate workshop in London on 29 September 2022
  • Formalisation of elliptic curves in Lean
    Contributed talk for Young Researchers in Algebraic Number Theory on 24 August 2022
  • Étale cohomology
    Study group for étale cohomology (9 talks from June 2022 to August 2022, co-organiser) in London on 5 August 2022
  • The Tate-Shafarevich and Brauer groups
    Study group for curves over function fields (8 talks from May 2022 to July 2022) in London on 5 July 2022
  • Elliptic curves and the Mordell-Weil theorem
    Seminar talk for London Learning Lean in London on 26 May 2022
  • The Euler system of Heegner points
    Seminar talk for London Junior Number Theory Seminar in London on 10 May 2022
  • Kolyagin's work on the BSD conjecture
    Presentation for London School of Geometry and Number Theory in London on 5 May 2022
  • Elliptic curves in Lean
    Workshop talk for Huawei Technologies R&D UK Ltd in Cambridge on 25 April 2022
  • Ideal class groups
    Presentation for the London School of Geometry and Number Theory in London on 6 October 2021
  • Rank heuristics for elliptic curves
    Seminar talk for Part III Seminar Series in Cambridge on 4 December 2020
  • Arithmetic statistics for elliptic curves
    Presentation for master's thesis presentation in London 22 June 2020
  • The ideal class group is a Tate-Shafarevich group
    Presentation for Essen Seminar for Algebraic Geometry and Arithmetic in Essen (Online) on 11 March 2020
  • Cryptography engineering at Adjoint UK Ltd
    Presentation for industrial placement in London on 4 October 2019
  • Pairing-based elliptic curve cryptography
    Presentation for Adjoint UK Ltd in London on 13 September 2019
  • An unusual cubic representation problem slides and notes
    Colloquium talk for undergraduate Mathematics Colloquium in London on 16 January 2019