Jack Thorne (mathematician)

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Jack Thorne

FRS
Born
Jack A. Thorne

(1987-06-13) 13 June 1987 (age 36)
Hereford, England
NationalityBritish
Alma mater University of Cambridge Harvard University
Awards
Scientific career
FieldsMathematics
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.

Contents

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] [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]

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References

  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.
  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.
  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.
  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.
  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.
  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.
  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
  19. ↑ "Adams Prize Winner 2021–22". maths.cam.ac.uk. Retrieved 25 March 2022.
  20. ↑ Cole Prize in Number Theory 2023


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