Hilbert’s tenth problem over rings of integers of number fields
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Together with Lee Berry and Corijn Rudrum, I am organising the London Number Theory Study Group at KCL for Summer 2025. The goal of this study group is to understand the recent preprint of Koymans and Pagano "Hilbert's tenth problem via additive combinatorics", which gives a negative answer to Hilbert’s tenth problem over infinite rings that are finitely generated over the integers.
When? Wednesdays 14:00-15:30, starting on April 30th and ending on June 25th
Where? K2.40 at KCL
Programme:
LNTS_H10.pdfSchedule:
30/04/2025, Introduction (Giorgio Navone); watch this if you missed this talk!
07/05/2025, Hilbert's 10th problem over the integers (Nina Wawrow); notes from the talk!
14/05/2025, H10 over rings of integers of totally real fields (Andrew Yang); notes from the talk!
21/05/2025, Elliptic curves and H10 (Margherita Pagano); notes from the talk!
28/05/2025, Selmer ranks as a Markov process (Lazar Radicevic); notes from the talk!
04/06/2025, A suitable twist (Rachel Newton); notes from the talk!
11/06/2025, Mazur-Rubin perspective (Elvira Lupoian); notes from the talk!
18/06/2025, Application of additive combinatorics (David Angdinata); slides from the talk!
25/06/2025, Let's twist again (Giorgio Navone & Harry Spencer); notes from the talk!
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