Talks
See also this page, where typeset notes for some of the talks below can be found.
Conference talks
From Birch and Swinnerton-Dyer to Bloch-Kato conjecture, Y-RANT 2021 conference. Slides
Hyperbolic 3-manifolds and the Langlands program, Oblicze 2021 conference. Slides
p-Adic Analysis: A New Hope, Oblicze 2020 conference. Slides
First-order definability of Z in Q, Oblicze 2019 conference. Slides
Riemann-Hilbert correspondence, Rigidity working group, VAT semester.
Solving integer representation problems with elliptic curves, Oblicze 2018 conference. Slides
Quadratic Reciprocity via Algebraic Number Theory, 20th International Workshop for Young Mathematicians.
Wyższe prawa wzajemności (in Polish), Ogólnopolska Sesja Studentów Matematyki 2017. Slides
Test pierwszości AKS (in Polish), Oblicze 2017 conference. Slides
Seminar talks
Coates-Wiles theorem, Euler Systems seminar. Notes
Birch and Swinnerton-Dyer conjecture, London Junior Number Theory Seminar. Recording
Direct summand conjecture and Big Cohen-Macaulay algebras, Perfectoid methods in AG study group
Special values of L-functions, Budapest Graduate Seminar. Recording of a practice talk (recording of actual talk might appear later)
What is... an Euler system?, What is... a seminar?. Slides
Universal deformation rings, London study group on local deformation rings. Notes
Berkovich spaces, London Junior Number Theory Seminar. Slides (annotated)
Motives, Bloch-Kato study group. Notes
Ranks of Jacobians over rational numbers, Warsaw Number Theory Seminar. Slides
Perfectoid spaces, SFARA seminar. Notes: part 1, part 2, part 3
Almost mathematics, Remote Student Seminar on Perfectoid Spaces. Slides
The Class Field Tower problem, Oxford Junior Number Theory seminar. Notes
On torsion of Jacobians of superelliptic curves, SAGA seminar.
Moduli spaces, TAU Christmas seminar. Recording
Perfectoid fields, TAU seminar. Recording
Miscellaneous
Syntomic cohomology and the Poznań spectral sequence, LSGNT miniproject presentation. Slides
Berkovich spaces, MSc thesis presentation. Slides
What is number theory and why it matters to you, St Cross College Student Showcase. Slides
Weil conjectures and how to prove them, The Oxford Invariants undergraduate talks event. Slides
Quadratic reciprocity via algebraic number theory. Recording
Introduction to modular forms. Recording