The following is a list of selected talks. Note that a * sign next to the title of the talk denotes an invited talk.
Computation of the conductor for a family of Frey hyperelliptic curves, Workshop on Explicit Arithmetic Geometry, ICTP, Trieste, July 10th 2025, [abstract|programme|slides].
Computation of the conductor for a family of Frey hyperelliptic curves, 33èmes Journées Arithmétiques, Luxembourg, July 4th 2025, [programme|slides].
Perfect codes over non-prime power alphabets: an approach based on Diophantine equations, VII Congreso de Jóvenes Investigadores de la RSME, Bilbao, 14th January 2025, [programme|slides|presentación].
Asymptotic Fermat's Last Theorem for a family of equations of signature (n, 2n, 2), Seminario de Teoría de Números de Alcalá de Henares, December 3rd 2024.
Diferencias de potencias perfectas y potencias de primos, Seminari de Teoria de Nombres a Lleida, Lleida, 26th October 2024, [programme|slides]
Asymptotic Fermat's Last Theorem for a family of equations of signature (n, 2n, 2), Décimas Jornadas de Teoría de Números, Madrid (Spain), 12th July 2024, [abstract booklet|slides].
Perfect codes and Diophantine equations, 75th British Mathematical Colloquium, Manchester (UK), 19th June 2024, [programme|slides].
Asymptotic Fermat's Last Theorem for a family of equations of signature (n, 2n, 2)*, Seminario de Teoría de Números, Instituto de Ciencias Matemáticas, Madrid (Spain), 8th May 2024, [abstract].
Asymptotic Fermat's Last Theorem for a family of equations of signature (n, 2n, 2)*, Bristol Linfoot Number Theory Seminar, Bristol (UK), 28th February 2024, [abstract].
On differences of perfect powers and prime powers, Young Researchers in Algebraic Number Theory, Cambridge (UK), 7th September 2023 [abstract|slides].
On differences of perfect powers and prime powers, Journées Arithmétiques, Institut Élie Cartan de Lorraine (France), 4th July 2023, [abstract|slides].
The generalised Lebesgue–Ramanujan–Nagell equation*, Number Theory Seminar, University of Illinois-Chicago, United States, 2nd May 2023, [abstract].
Computational algebraic number theory, Pure Postgraduate Seminar, The University of Manchester (UK), 24th March 2023. (March 2023).
The generalised Lebesgue-Ramanujan-Nagell equation*, Junior Number Theory Seminar, University of Warwick (UK), 20th February 2023, [abstract].
The generalised Lebesgue-Ramanujan-Nagell equation*, Number Theory Seminar, The University of Manchester (UK), 9th November 2022, [abstract].
The modular method and its limitations, Novenas Jornadas de Teoría de Números, Universidad de la Rioja (Spain), 30th June 2022, [abstract|slides].
Algebraic Number Theory and Diophantine Equations, Pure Postgraduate Seminar, The University of Manchester (UK), 26th November 2021.
The kryptonite of a number theorist, Young Researchers in Algebraic Number Theory, The University of Bristol (UK), online, 20th August 2021, [abstract|slides].
What’s left after Fermat’s Last Theorem?, LMS Graduate Student Meeting, London Mathematical Society (UK), – London, online, 24th June 2021.
What's left after Fermat's Last Theorem?, Young Researchers in Mathematics, online, 8th June 2021, [abstract|slides].
Elliptic Curves, Modular Forms and the Fermat Equation, Pure Postgraduate Seminar, The University of Manchester, UK, 9th February 2021, [slides].