Jack Thorne (mathematician)

British mathematician

Jack Thorne

FRS

Born|

Jack A. Thorne

(1987-06-13) 13 June 1987 (age 37)

Hereford, England

Nationality| British
Alma mater| University of Cambridge Harvard University
Awards|

* Whitehead Prize (2017)
Adams Prize (2022)
Cole Prize (2023)

Scientific career
Fields| Mathematics
Institutions|

* University of Cambridge

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]

1. ^ "Jack Thorne | Clay Mathematics Institute". www.claymath.org. Retrieved 22 February 2019.
2. ^ "Professor Jack Thorne". Trinity Hall. Retrieved 22 February 2019.
3. ^ 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 15994406.855-920&rft.date=2012-10&rft_id=info:arxiv/1107.5993&rft_id=https://api.semanticscholar.org/CorpusID:15994406#id-name=S2CID&rft.issn=1475-3030&rft_id=info:doi/10.1017/S1474748012000023&rft.aulast=Thorne&rft.aufirst=Jack&rfr_id=info:sid/en.wikipedia.org:Jack+Thorne+(mathematician)" class="Z3988">
4. ^ 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 3945032.785-870&rft.date=2015&rft_id=https://api.semanticscholar.org/CorpusID:3945032#id-name=S2CID&rft.issn=0894-0347&rft_id=info:doi/10.1090/S0894-0347-2014-00812-2&rft.aulast=Thorne&rft.aufirst=Jack&rft_id=https://www.ams.org/home/page/&rfr_id=info:sid/en.wikipedia.org:Jack+Thorne+(mathematician)" class="Z3988">
5. ^ 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.
6. ^ 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 117991797.1205-1273&rft.date=2017-09-13&rft_id=info:arxiv/1409.7007&rft_id=https://api.semanticscholar.org/CorpusID:117991797#id-name=S2CID&rft.issn=1080-6377&rft_id=info:doi/10.1353/ajm.2017.0030&rft.aulast=Thorne&rft.aufirst=Jack+A.&rft.au=Khare,+Chandrashekhar+B.&rfr_id=info:sid/en.wikipedia.org:Jack+Thorne+(mathematician)" class="Z3988">
7. ^ 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.
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 2024.113-116&rft.date=2019-01&rft.issn=1088-9477&rft_id=https://www.ams.org/journals/notices/201901/rnoti-p113.pdf&rfr_id=info:sid/en.wikipedia.org:Jack+Thorne+(mathematician)" class="Z3988">
9. ^ 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 209460741.1-116&rft.date=2021&rft_id=info:arxiv/1912.11261&rft_id=https://api.semanticscholar.org/CorpusID:209460741#id-name=S2CID&rft_id=info:doi/10.1007/s10240-021-00127-3&rft.aulast=Newton&rft.aufirst=James&rft.au=Thorne,+Jack+A.&rfr_id=info:sid/en.wikipedia.org:Jack+Thorne+(mathematician)" class="Z3988">
10. ^ 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 221703327.117-152&rft.date=2021&rft_id=info:arxiv/2009.07180&rft_id=https://api.semanticscholar.org/CorpusID:221703327#id-name=S2CID&rft_id=info:doi/10.1007/s10240-021-00126-4&rft.aulast=Newton&rft.aufirst=James&rft.au=Thorne,+Jack+A.&rfr_id=info:sid/en.wikipedia.org:Jack+Thorne+(mathematician)" class="Z3988">
11. ^ "LMS Prizes 2017". London Mathematical Society. 30 June 2017. Retrieved 2 March 2024.
12. ^ "Invited Section Lectures – Speakers | ICM 2018". www.icm2018.org. Archived from the original on 8 December 2018. Retrieved 30 November 2018.
13. ^ plusmathsorg (9 August 2018), ICM 2018: Jack Thorne, retrieved 22 February 2019
14. ^ "Srinivasa Ramanujan Centre (SRC)". sas.sastra.edu. Retrieved 22 February 2019.
15. ^ Maeve Forti (25 October 2018). "Yifeng Liu wins prestigious award in mathematics". YaleNews. Yale University. Retrieved 3 February 2019.
16. ^ "Yale, Cambridge profs. get SASTRA-Ramanujan Award". The Hindu. 22 December 2018. Retrieved 3 February 2019.
17. ^ "Outstanding scientists elected as Fellows and Foreign Members of the Royal Society". royalsociety.org. Retrieved 30 April 2020.
18. ^ "EMS Prize 2020". Archived from the original on 7 July 2020. Retrieved 13 May 2020.
19. ^ "Adams Prize Winner 2021–22". maths.cam.ac.uk. Retrieved 25 March 2022.
20. ^ Cole Prize in Number Theory 2023
21. ^ Clay Research Award 2024

## External links

[edit]

* Jack Thorne's Professional Webpage

* v
* t
* e

Recipients of SASTRA Ramanujan Prize

* Manjul Bhargava (2005)
* Kannan Soundararajan (2005)
* Terence Tao (2006)
* Ben Green (2007)
* Akshay Venkatesh (2008)
* Kathrin Bringmann (2009)
* Wei Zhang (2010)
* Roman Holowinsky (2011)
* Zhiwei Yun (2012)
* Peter Scholze (2013)
* James Maynard (2014)
* Jacob Tsimerman (2015)
* Kaisa Matomäki (2016)
* Maksym Radziwill (2016)
* Maryna Viazovska (2017)
* Yifeng Liu (2018)
* Jack Thorne (2018)
* Adam Harper (2019)
* Shai Evra (2020)
* Will Sawin (2021)
* Yunqing Tang (2022)
* Ruixiang Zhang (2023)

* v
* t
* e

Fellows of the Royal Society elected in 2020

Fellows|

* Timothy Behrens
* Yoshua Bengio
* Malcolm J. Bennett
* Ben Berks
* Zulfiqar Bhutta
* Kevin Brindle
* Gordon Brown
* William C. Campbell
* Henry Chapman
* G. Marius Clore
* Vikram Deshpande
* John Endler
* Adam Eyre-Walker
* Daniel Frost
* François Guillemot
* David Harel
* Marian Holness
* Ehud Hrushovski
* Andrew P. Jackson
* George Jackson
* Xin Lu
* Alexander Makarov
* Keith Matthews
* Iain McCulloch
* Linda Nazar
* Peter Nellist
* Giles Oldroyd
* Hugh Osborn
* Oliver L. Phillips
* Raymond Pierrehumbert
* John Plane
* Cathy Price
* Carol Prives
* Didier Queloz
* Nicholas Read
* Michael Rudnicki
* William Schafer
* Nigel Scrutton
* John Shine
* Stephen Smartt
* Ralf Speth
* Molly Stevens
* Donna Strickland
* Andrew M. Stuart
* Sarah Teichmann
* Richard Thompson
* Jack Thorne
* Nicholas Turner
* Jane Visvader
* Alan M. Wilson
* Steve Young

Honorary|

David Cooksey

Foreign|

* Frances Arnold
* Francis Collins
* Kerry Emanuel
* Ben Feringa
* Else Marie Friis
* Regine Kahmann
* Margaret Kivelson
* Ramamoorthy Ramesh
* Wendelin Werner
* Ada Yonath

Authority control databases

International|

* VIAF

National|

* Germany

Academics|

* Mathematics Genealogy Project
* Scopus
* zbMATH
* MathSciNet

Other|

* IdRef

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