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Acta Math. 223 (2019), No. 1, pp. 1-111. With Gebhard Böckle, Michael Harris, and Chandrashekhar Khare. On the average number of 2-Selmer elements of elliptic curves over F q (X) with two marked points. Documenta Math. 24 (2019), pp. 1179-1223. On the GL(n) eigenvariety and a conjecture of Venkatesh. Selecta Math.
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Conference Programme. Lunch will be provided on Tuesday and...
- Mordell 2022
100 years of elliptic curves. The year 2022 marks the...
- Algebraic Number Theory
Acta Math. 223 (2019), No. 1, pp. 1-111. With Gebhard...
- Program
Jack Thorne – CV Address: Department of Pure Mathematics and Mathematical Statistics, Wilberforce Road, Cambridge, CB3 0WB, United Kingdom Email: thorne@dpmms.cam.ac.uk
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Nov 18, 2022 · Professor Jack Thorne will share the 2023 Frank Nelson Cole Prize in Number Theory for making progress on a decades-old problem related to the work of Ramanujan. With Professor James Newton, who was a Junior Research Fellow at Trinity 2011-2014, he tackled a key question relating to the statistics of prime numbers and Ramanujan’s work on sums ...
Dec 24, 2019 · Symmetric power functoriality for holomorphic modular forms. James Newton, Jack A. Thorne. Let f be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting Symnf for every n ≥ 1. We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to ...
- James Newton, James Newton, Jack A. Thorne
- 2020
Dec 7, 2022 · A. -adic approach to the existence of level-raising congruences. Jack A. Thorne. We construct level-raising congruences between -ordinary automorphic representations, and apply this to the problem of symmetric power functoriality for Hilbert modular forms. In particular, we prove the existence of the symmetric power lift of a Hilbert modular ...
- arXiv:2212.03591 [math.NT]
- Number Theory (math.NT)
Apr 6, 2020 · In October, for instance, three mathematicians — Patrick Allen of the University of Illinois, Urbana-Champaign, Chandrashekhar Khare of the University of California, Los Angeles and Jack Thorne of the University of Cambridge — proved that a substantial proportion of the elliptic curves studied in the 10-author paper do have bridges that ...
Jack A. Thorne's 55 research works with 873 citations and 1,213 reads, including: Elliptic curves and modularity ... adic Galois representations , J. Amer. Math. Soc. 28 (2015), 785–870] by the ...
