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Jack Thorne (mathematician)

January 31, 2023

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.

Jack Thorne

FRS
Born
Jack A. Thorne

(1987-06-13) 13 June 1987 (age 35)
Hereford, England
NationalityBritish
Alma materUniversity of Cambridge Harvard University
Awards
Scientific career
FieldsMathematics
Institutions
ThesisThe Arithmetic of Simple Singularities (2012)
Doctoral advisorRichard Taylor, Benedict Gross

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 for elliptic curves over imaginary quadratic fields.[7]

In joint work with James Newton, Thorne has established symmetric power functoriality for all holomorphic modular forms.[8][9]

Awards and honors

Thorne was awarded the Whitehead Prize in 2017.[citation needed] In 2018, Thorne was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro.[10][11] He was awarded the 2018 SASTRA Ramanujan Prize for his contributions to the field of mathematics. He shared the prize with Yifeng Liu.[12][13][14] In April 2020 he was elected a Fellow of the Royal Society.[15] In 2020 he received the EMS Prize of the European Mathematical Society,[16] in 2021 he was awarded a New Horizons in Mathematics Prize and in 2022 he was awarded the Adams Prize.[17] For 2023 he received the Cole Prize in Number Theory of the AMS.[18]

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. ^ Liu and Thorne Awarded SASTRA Ramanujan Prize, Notices of the American Mathematical Society, January 2019, https://www.ams.org/journals/notices/201901/rnoti-p113.pdf
  8. ^ Newton, James; Thorne, Jack A. (2021). "Symmetric power functoriality for holomorphic modular forms". Publications mathématiques de l'IHÉS. 134: 1–116. arXiv:1912.11261.
  9. ^ 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.
  10. ^ . www.icm2018.org. Archived from the original on 8 December 2018. Retrieved 30 November 2018.
  11. ^ plusmathsorg (9 August 2018), ICM 2018: Jack Thorne, retrieved 22 February 2019
  12. ^ "Srinivasa Ramanujan Centre (SRC)". sas.sastra.edu. Retrieved 22 February 2019.
  13. ^ Maeve Forti (25 October 2018). "Yifeng Liu wins prestigious award in mathematics". YaleNews. Yale University. Retrieved 3 February 2019.
  14. ^ "Yale, Cambridge profs. get SASTRA-Ramanujan Award". The Hindu. 22 December 2018. Retrieved 3 February 2019.
  15. ^ "Outstanding scientists elected as Fellows and Foreign Members of the Royal Society". royalsociety.org. Retrieved 30 April 2020.
  16. ^ EMS Prize 2020
  17. ^ "Adams Prize Winner 2021–22". maths.cam.ac.uk. Retrieved 25 March 2022.
  18. ^ Cole Prize in Number Theory 2023

External links

  • Jack Thorne's Professional Webpage


 

This article about a United Kingdom mathematician is a stub. You can help Wikipedia by expanding it.

January 31, 2023
jack, thorne, mathematician, jack, thorne, born, june, 1987, british, mathematician, working, number, theory, arithmetic, aspects, langlands, program, specialises, algebraic, number, theory, jack, thornefrsbornjack, thorne, 1987, june, 1987, hereford, englandn. 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 Jack ThorneFRSBornJack A Thorne 1987 06 13 13 June 1987 age 35 Hereford EnglandNationalityBritishAlma materUniversity of Cambridge Harvard UniversityAwardsWhitehead Prize 2017 Adams Prize 2022 Cole Prize 2023 Scientific careerFieldsMathematicsInstitutionsUniversity of CambridgeThesisThe Arithmetic of Simple Singularities 2012 Doctoral advisorRichard Taylor Benedict Gross Contents 1 Education 2 Career and research 3 Awards and honors 4 References 5 External linksEducation EditThorne read mathematics at Trinity Hall Cambridge He completed his PhD with Benedict Gross and Richard Taylor at Harvard University in 2012 Career and research EditThorne 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 Bockle 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 for elliptic curves over imaginary quadratic fields 7 In joint work with James Newton Thorne has established symmetric power functoriality for all holomorphic modular forms 8 9 Awards and honors EditThorne was awarded the Whitehead Prize in 2017 citation needed In 2018 Thorne was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro 10 11 He was awarded the 2018 SASTRA Ramanujan Prize for his contributions to the field of mathematics He shared the prize with Yifeng Liu 12 13 14 In April 2020 he was elected a Fellow of the Royal Society 15 In 2020 he received the EMS Prize of the European Mathematical Society 16 in 2021 he was awarded a New Horizons in Mathematics Prize and in 2022 he was awarded the Adams Prize 17 For 2023 he received the Cole Prize in Number Theory of the AMS 18 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 Liu and Thorne Awarded SASTRA Ramanujan Prize Notices of the American Mathematical Society January 2019 https www ams org journals notices 201901 rnoti p113 pdf Newton James Thorne Jack A 2021 Symmetric power functoriality for holomorphic modular forms Publications mathematiques de l IHES 134 1 116 arXiv 1912 11261 Newton James Thorne Jack A 2021 Symmetric power functoriality for holomorphic modular forms II Publications mathematiques de l IHES 134 117 152 arXiv 2009 07180 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 Adams Prize Winner 2021 22 maths cam ac uk Retrieved 25 March 2022 Cole Prize in Number Theory 2023External links EditJack Thorne s Professional Webpage This article about a United Kingdom mathematician is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Jack Thorne mathematician amp oldid 1122887540, wikipedia, wiki, book, books, library,

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