Jack Thorne (mathematician) explained

Jack Thorne
Birth Name:Jack A. Thorne
Birth Date:1987 6, df=yes
Birth Place:Hereford, England
Nationality:British
Alma Mater:University of CambridgeHarvard University
Thesis Title:The Arithmetic of Simple Singularities
Thesis Url:https://link.springer.com/content/pdf/10.1007%2Fs00229-007-0128-9.pdf
Thesis Year:2012
Doctoral Advisor:Richard Taylor, Benedict Gross
Field:Mathematics

Jack A. Thorne (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

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

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

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] He was awarded the 2018 SASTRA Ramanujan Prize for his contributions to the field of mathematics. He shared the prize with Yifeng Liu.[13] [14] [15] In April 2020 he was elected a Fellow of the Royal Society.[16] In 2020 he received the EMS Prize of the European Mathematical Society,[17] in 2021 he was awarded a New Horizons in Mathematics Prize and in 2022 he was awarded the Adams Prize.[18] For 2023 he received the Cole Prize in Number Theory of the American Mathematical Society.[19] In 2024 he received the Clay Research Award jointly with James Newton.[20]

External links

Notes and References

  1. Web site: Jack Thorne Clay Mathematics Institute. www.claymath.org. 22 February 2019.
  2. Web site: Professor Jack Thorne. Trinity Hall. en-GB. 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. en. 11. 4. 855–920. 10.1017/S1474748012000023. 1475-3030. 1107.5993. 15994406.
  4. Thorne. Jack. 2015. Automorphy lifting for residually reducible -adic Galois representations. Journal of the American Mathematical Society. en. 28. 3. 785–870. 10.1090/S0894-0347-2014-00812-2. 3945032. 0894-0347. free.
  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. En. 3. 1. 10.1186/s40687-016-0078-5. 2197-9847. 1411.6717. 119142230 . free .
  6. Thorne. Jack A.. Khare. Chandrashekhar B.. 13 September 2017. Potential Automorphy and the Leopoldt conjecture. American Journal of Mathematics. en. 139. 5. 1205–1273. 10.1353/ajm.2017.0030. 1080-6377. 1409.7007. 117991797.
  7. Book: Thorne, Jack A. . European Congress of Mathematics . Elliptic curves and modularity . EMS Press . 2023-07-14 . 978-3-98547-051-8 . 10.4171/8ecm/12 . 643–662.
  8. . January 2019 . Liu and Thorne Awarded SASTRA Ramanujan Prize . Notices of the American Mathematical Society . 66 . 1 . 113-116 . 1088-9477 . 2024-03-02.
  9. Newton. James. Thorne. Jack A.. 2021. Symmetric power functoriality for holomorphic modular forms. Publications Mathématiques de l'IHÉS. 134. 1–116. 10.1007/s10240-021-00127-3 . 1912.11261. 209460741 .
  10. Newton. James. Thorne. Jack A.. 2021. Symmetric power functoriality for holomorphic modular forms, II. Publications Mathématiques de l'IHÉS. 134. 117–152. 10.1007/s10240-021-00126-4 . 2009.07180. 221703327 .
  11. Web site: LMS Prizes 2017 . London Mathematical Society . 2017-06-30 . 2024-03-02.
  12. Web site: Invited Section Lectures – Speakers ICM 2018. www.icm2018.org. 30 November 2018. https://web.archive.org/web/20181208144537/http://www.icm2018.org/portal/en/invited-section-lectures-speakers. 8 December 2018. dead.
  13. Web site: Srinivasa Ramanujan Centre (SRC). sas.sastra.edu. 22 February 2019.
  14. Web site: Maeve Forti . Yifeng Liu wins prestigious award in mathematics . YaleNews . Yale University . 3 February 2019. 25 October 2018 .
  15. News: Yale, Cambridge profs. get SASTRA-Ramanujan Award . The Hindu . 22 December 2018 . 3 February 2019.
  16. Web site: Outstanding scientists elected as Fellows and Foreign Members of the Royal Society. royalsociety.org. en-GB. 30 April 2020.
  17. https://8ecm.si/prizes EMS Prize 2020
  18. Web site: Adams Prize Winner 2021–22. maths.cam.ac.uk. 25 March 2022.
  19. http://www.ams.org/news?news_id=7112 Cole Prize in Number Theory 2023
  20. https://www.claymath.org/people/?people_type=research-award-winners&year_type=2024&pagination=1 Clay Research Award 2024

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