Jack Thorne (mathematician)
Jack Thorne | |
|---|---|
| Born | Jack A. Thorne 13 June 1987 Hereford, England |
| Nationality | British |
| Alma mater | University of Cambridge Harvard University |
| Awards |
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| Scientific career | |
| Fields | Mathematics |
| Institutions | |
| Thesis | The Arithmetic of Simple Singularities (2012) |
| Doctoral advisor | Richard Taylor, Benedict Gross |
Jack A. Thorne FRS (born 13 June 1987) is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory.
Education
[edit]Thorne read mathematics at Trinity Hall, Cambridge. He completed his PhD with Benedict Gross and Richard Taylor at Harvard University in 2012.
Career and research
[edit]Thorne was a Clay Research Fellow.[1] Currently, he is a Professor of Mathematics at the University of Cambridge,[2] where he has been since 2015, and is also a fellow at Trinity Hall, Cambridge.
Thorne's paper on adequate representations[3] significantly extended the applicability of the Taylor–Wiles method. His paper on deformations of reducible representations[4] generalized previous results of Chris Skinner and Andrew Wiles from two-dimensional representations to n-dimensional representations. With Gebhard Böckle, Michael Harris, and Chandrashekhar Khare, he has applied techniques from modularity lifting to the Langlands conjectures over function fields. With Kai-Wen Lan, Harris, and Richard Taylor, Thorne constructed Galois representations associated to non-self dual regular algebraic cuspidal automorphic forms for GL(n) over CM fields.[5] Thorne's 2015 joint work with Khare on potential automorphy and Leopoldt's conjecture[6] has led to a proof of a potential version of the modularity conjecture[7] for elliptic curves over imaginary quadratic fields.[8]
In joint work with James Newton, Thorne has established symmetric power functoriality for all holomorphic modular forms.[9][10]
Awards and honors
[edit]Thorne was awarded the Whitehead Prize in 2017.[11] In 2018, Thorne was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro.[12][13] He was awarded the 2018 SASTRA Ramanujan Prize for his contributions to the field of mathematics. He shared the prize with Yifeng Liu.[14][15][16] In April 2020 he was elected a Fellow of the Royal Society.[17] In 2020 he received the EMS Prize of the European Mathematical Society,[18] in 2021 he was awarded a New Horizons in Mathematics Prize and in 2022 he was awarded the Adams Prize.[19] For 2023 he received the Cole Prize in Number Theory of the American Mathematical Society.[20] In 2024 he received the Clay Research Award jointly with James Newton.[21]
References
[edit]- ^ "Jack Thorne | Clay Mathematics Institute". www.claymath.org. Retrieved 22 February 2019.
- ^ "Professor Jack Thorne". Trinity Hall. Retrieved 22 February 2019.
- ^ Thorne, Jack (October 2012). "On the automorphy of l-adic Galois representations with small residual image With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne". Journal of the Institute of Mathematics of Jussieu. 11 (4): 855–920. arXiv:1107.5993. doi:10.1017/S1474748012000023. ISSN 1475-3030. S2CID 15994406.
- ^ Thorne, Jack (2015). "Automorphy lifting for residually reducible 𝑙-adic Galois representations". Journal of the American Mathematical Society. 28 (3): 785–870. doi:10.1090/S0894-0347-2014-00812-2. ISSN 0894-0347. S2CID 3945032.
- ^ Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack (26 October 2016). "On the rigid cohomology of certain Shimura varieties". Research in the Mathematical Sciences. 3 (1). arXiv:1411.6717. doi:10.1186/s40687-016-0078-5. ISSN 2197-9847. S2CID 119142230.
- ^ Thorne, Jack A.; Khare, Chandrashekhar B. (13 September 2017). "Potential Automorphy and the Leopoldt conjecture". American Journal of Mathematics. 139 (5): 1205–1273. arXiv:1409.7007. doi:10.1353/ajm.2017.0030. ISSN 1080-6377. S2CID 117991797.
- ^ Thorne, Jack A. (14 July 2023). "Elliptic curves and modularity". European Congress of Mathematics. EMS Press. p. 643–662. doi:10.4171/8ecm/12. ISBN 978-3-98547-051-8.
- ^ "Liu and Thorne Awarded SASTRA Ramanujan Prize" (PDF). Notices of the American Mathematical Society. 66 (1): 113–116. January 2019. ISSN 1088-9477. Retrieved 2 March 2024.
- ^ Newton, James; Thorne, Jack A. (2021). "Symmetric power functoriality for holomorphic modular forms". Publications Mathématiques de l'IHÉS. 134: 1–116. arXiv:1912.11261. doi:10.1007/s10240-021-00127-3. S2CID 209460741.
- ^ Newton, James; Thorne, Jack A. (2021). "Symmetric power functoriality for holomorphic modular forms, II". Publications Mathématiques de l'IHÉS. 134: 117–152. arXiv:2009.07180. doi:10.1007/s10240-021-00126-4. S2CID 221703327.
- ^ "LMS Prizes 2017". London Mathematical Society. 30 June 2017. Retrieved 2 March 2024.
- ^ "Invited Section Lectures – Speakers | ICM 2018". www.icm2018.org. Archived from the original on 8 December 2018. Retrieved 30 November 2018.
- ^ plusmathsorg (9 August 2018), ICM 2018: Jack Thorne, retrieved 22 February 2019
- ^ "Srinivasa Ramanujan Centre (SRC)". sas.sastra.edu. Retrieved 22 February 2019.
- ^ Maeve Forti (25 October 2018). "Yifeng Liu wins prestigious award in mathematics". YaleNews. Yale University. Retrieved 3 February 2019.
- ^ "Yale, Cambridge profs. get SASTRA-Ramanujan Award". The Hindu. 22 December 2018. Retrieved 3 February 2019.
- ^ "Outstanding scientists elected as Fellows and Foreign Members of the Royal Society". royalsociety.org. Retrieved 30 April 2020.
- ^ "EMS Prize 2020". Archived from the original on 7 July 2020. Retrieved 13 May 2020.
- ^ "Adams Prize Winner 2021–22". maths.cam.ac.uk. Retrieved 25 March 2022.
- ^ Cole Prize in Number Theory 2023
- ^ Clay Research Award 2024
External links
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