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{{Short description|British mathematician}}
{{Use dmy dates|date=October 2018}}
{{Use dmy dates|date=November 2022}}
{{Infobox scientist
{{Infobox scientist
| name = Jack Thorne
| name = Jack Thorne
| image =
| image =
| image_size =
| image_size =

| caption =
| caption =
| honorific_suffix = {{post-nominals|FRS|size=100}}
| honorific_suffix = {{post-nominals|FRS|size=100}}
| birth_name = Jack A. Thorne
| birth_name = Jack A. Thorne
| birth_date = {{Birth date and age|df=yes|1987|06|13}}
| birth_date = {{Birth date and age|df=yes|1987|06|13}}
| birth_place = Hereford, England
| birth_place = Hereford, England
| death_date =
| death_place =
| death_date =
| death_place =
| residence = Cambridge, England
| nationality = British
| nationality = British
| alma_mater = [[University of Cambridge]]
| alma_mater = [[University of Cambridge]]
[[Harvard University]]
| thesis_title = The Arithmetic of Simple Singularities
| thesis_title = The Arithmetic of Simple Singularities
| thesis_url = https://link.springer.com/content/pdf/10.1007%2Fs00229-007-0128-9.pdf
| thesis_url = https://link.springer.com/content/pdf/10.1007%2Fs00229-007-0128-9.pdf
| thesis_year = 2012
| thesis_year = 2012
| doctoral_advisor = [[Richard Taylor (mathematician)|Richard Taylor]], [[Benedict Gross]]
| doctoral_advisor = [[Richard Taylor (mathematician)|Richard Taylor]], [[Benedict Gross]]
| doctoral_students =
| doctoral_students =
| known_for =
| known_for =
| footnotes =
| footnotes =
| field = [[Mathematics]]
| field = Mathematics
| work_institution = {{Plainlist|* [[University of Cambridge]]}}
| work_institution = {{Plainlist|* [[University of Cambridge]]}}
| prizes = {{Plainlist|* [[Whitehead Prize]] {{small|(2017)}}}}
| prizes = {{Plainlist|* [[Whitehead Prize]] (2017)<br> [[Adams Prize]] (2022)<br> [[Cole Prize]] (2023)}}
| Erdős number =
| Erdős number =
| religion =
| religion =
}}
}}


'''Jack A. Thorne''' {{post-nominals|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 A. Thorne''' {{post-nominals|FRS}} (born 1987) is a [[United Kingdom|British]] [[mathematician]] working in number theory and arithmetic aspects of the [[Langlands program|Langlands Program]]. He specialises in [[algebraic number theory]]. Thorne was awarded the [[Whitehead Prize]] in 2017, and he was an invited speaker at the International Congress of Mathematicians in 2018. He was awarded the 2018 [[SASTRA Ramanujan Prize]] for his contributions to the field of mathematics. He shared the prize with [[Yifeng Liu]].<ref>{{Cite web|url=https://sas.sastra.edu/ramanujan/Ramanujan-Awards.php|title=Srinivasa Ramanujan Centre (SRC)|website=sas.sastra.edu|access-date=2019-02-22}}</ref><ref>{{cite web |last1=Maeve Forti |title=Yifeng Liu wins prestigious award in mathematics |url=https://news.yale.edu/2018/10/25/yifeng-liu-wins-prestigious-award-mathematics |website=YaleNews |publisher=Yale University |access-date=3 February 2019|date=2018-10-25 }}</ref><ref>{{cite news |title=Yale, Cambridge profs. get SASTRA-Ramanujan Award |journal=The Hindu |date=December 22, 2018 |url=https://www.thehindu.com/news/national/tamil-nadu/yale-cambridge-profs-get-sastra-ramanujan-award/article25803389.ece |access-date=3 February 2019}}</ref> In April 2020 he was elected a [[Fellow of the Royal Society]].<ref>{{Cite web|url=https://royalsociety.org/news/2020/04/outstanding-scientists-elected-as-fellows-and-foreign-members-of-the-royal-society/|title=Outstanding scientists elected as Fellows and Foreign Members of the Royal Society|website=royalsociety.org|language=en-GB|access-date=2020-04-30}}</ref> In 2020 he received the EMS Prize of the [[European Mathematical Society]],<ref>[https://8ecm.si/prizes EMS Prize 2020]</ref> and in 2021 he was awarded a [[Breakthrough Prize in Mathematics#2022|New Horizons in Mathematics Prize]].


== Education ==
== Education ==
Thorne read mathematics at [[Trinity Hall, Cambridge]]. He completed his [[Doctor of Philosophy|PhD]] with [[Benedict Gross]] and [[Richard Taylor (mathematician)|Richard Taylor]] at [[Harvard University]] in 2012.
Thorne read mathematics at [[Trinity Hall, Cambridge]]. He completed his PhD with [[Benedict Gross]] and [[Richard Taylor (mathematician)|Richard Taylor]] at [[Harvard University]] in 2012.


==Career and research==
==Career and research==
Thorne was a Clay Research Fellow.<ref>{{Cite web|url=http://www.claymath.org/people/jack-thorne|title=Jack Thorne {{!}} Clay Mathematics Institute|website=www.claymath.org|access-date=2019-02-22}}</ref> Currently, he is a Professor of Mathematics at the [[University of Cambridge]],<ref>{{Cite web|url=https://www.trinhall.cam.ac.uk/contact-us/contact-directory/fellows-and-academics-directory/jack-thorne/|title=Professor Jack Thorne|website=Trinity Hall|language=en-GB|access-date=2019-02-22}}</ref> where he has been since 2015, and is also a fellow at [[Trinity Hall, Cambridge]].
Thorne was a Clay Research Fellow.<ref>{{Cite web|url=http://www.claymath.org/people/jack-thorne|title=Jack Thorne {{!}} Clay Mathematics Institute|website=www.claymath.org|access-date=22 February 2019}}</ref> Currently, he is a Professor of Mathematics at the [[University of Cambridge]],<ref>{{Cite web|url=https://www.trinhall.cam.ac.uk/contact-us/contact-directory/fellows-and-academics-directory/jack-thorne/|title=Professor Jack Thorne|website=Trinity Hall|language=en-GB|access-date=22 February 2019}}</ref> where he has been since 2015, and is also a fellow at [[Trinity Hall, Cambridge]].


Thorne's paper on adequate representations<ref>{{Cite journal|last=Thorne|first=Jack|date=October 2012|title=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=Journal of the Institute of Mathematics of Jussieu|language=en|volume=11|issue=4|pages=855–920|doi=10.1017/S1474748012000023|issn=1475-3030|arxiv=1107.5993|s2cid=15994406}}</ref> significantly extended the applicability of the Taylor-Wiles method. His paper on deformations of reducible representations<ref>{{Cite journal|last=Thorne|first=Jack|date=2015|title=Automorphy lifting for residually reducible 𝑙-adic Galois representations|url=https://www.ams.org/home/page/|journal=Journal of the American Mathematical Society|language=en|volume=28|issue=3|pages=785–870|doi=10.1090/S0894-0347-2014-00812-2|s2cid=3945032|issn=0894-0347|doi-access=free}}</ref> generalized previous results of [[Christopher Skinner|Chris Skinner]] and [[Andrew Wiles]] from two-dimensional representations to ''n''-dimensional representations. With Gebhard Böckle, [[Michael Harris (mathematician)|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 (mathematician)|Richard Taylor]], Thorne constructed [[Galois representation]]s associated to non-self dual regular algebraic cuspidal [[automorphic form]]s for GL(''n'') over CM fields.<ref>{{Cite journal|last1=Harris|first1=Michael|last2=Lan|first2=Kai-Wen|last3=Taylor|first3=Richard|last4=Thorne|first4=Jack|date=2016-10-26|title=On the rigid cohomology of certain Shimura varieties|journal=Research in the Mathematical Sciences|language=En|volume=3|issue=1|doi=10.1186/s40687-016-0078-5|issn=2197-9847|arxiv=1411.6717|s2cid=119142230}}</ref> Thorne's 2015 joint work with Khare on potential automorphy and [[Leopoldt's conjecture]]<ref>{{Cite journal|last1=Thorne|first1=Jack A.|last2=Khare|first2=Chandrashekhar B.|date=2017-09-13|title=Potential Automorphy and the Leopoldt conjecture|journal=American Journal of Mathematics|language=en|volume=139|issue=5|pages=1205–1273|doi=10.1353/ajm.2017.0030|issn=1080-6377|arxiv=1409.7007|s2cid=117991797}}</ref> has led to a proof of a potential version of the [[modularity conjecture]] for [[elliptic curve]]s over imaginary quadratic fields.<ref>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</ref>
Thorne's paper on adequate representations<ref>{{Cite journal|last=Thorne|first=Jack|date=October 2012|title=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=Journal of the Institute of Mathematics of Jussieu|language=en|volume=11|issue=4|pages=855–920|doi=10.1017/S1474748012000023|issn=1475-3030|arxiv=1107.5993|s2cid=15994406}}</ref> significantly extended the applicability of the Taylor–Wiles method. His paper on deformations of reducible representations<ref>{{Cite journal|last=Thorne|first=Jack|date=2015|title=Automorphy lifting for residually reducible 𝑙-adic Galois representations|url=https://www.ams.org/home/page/|journal=[[Journal of the American Mathematical Society]]|language=en|volume=28|issue=3|pages=785–870|doi=10.1090/S0894-0347-2014-00812-2|s2cid=3945032|issn=0894-0347|doi-access=free}}</ref> generalized previous results of [[Christopher Skinner|Chris Skinner]] and [[Andrew Wiles]] from two-dimensional representations to ''n''-dimensional representations. With Gebhard Böckle, [[Michael Harris (mathematician)|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 (mathematician)|Richard Taylor]], Thorne constructed [[Galois representation]]s associated to non-self dual regular algebraic cuspidal [[automorphic form]]s for GL(''n'') over CM fields.<ref>{{Cite journal|last1=Harris|first1=Michael|last2=Lan|first2=Kai-Wen|last3=Taylor|first3=Richard|last4=Thorne|first4=Jack|date=26 October 2016|title=On the rigid cohomology of certain Shimura varieties|journal=Research in the Mathematical Sciences|language=En|volume=3|issue=1|doi=10.1186/s40687-016-0078-5|issn=2197-9847|arxiv=1411.6717|s2cid=119142230 |doi-access=free }}</ref> Thorne's 2015 joint work with Khare on potential automorphy and [[Leopoldt's conjecture]]<ref>{{Cite journal|last1=Thorne|first1=Jack A.|last2=Khare|first2=Chandrashekhar B.|date=13 September 2017|title=Potential Automorphy and the Leopoldt conjecture|journal=[[American Journal of Mathematics]]|language=en|volume=139|issue=5|pages=1205–1273|doi=10.1353/ajm.2017.0030|issn=1080-6377|arxiv=1409.7007|s2cid=117991797}}</ref> has led to a proof of a potential version of the [[modularity conjecture]]<ref name="Thorne 2023 pp. 643–662">{{cite book | last=Thorne | first=Jack A. | title=European Congress of Mathematics | chapter=Elliptic curves and modularity | publisher=EMS Press | date=2023-07-14 | isbn=978-3-98547-051-8 | doi=10.4171/8ecm/12 | page=643–662}}</ref> for [[elliptic curve]]s over imaginary [[quadratic field]]s.<ref name="Notices AMS January 2019 - Mathematics People">{{cite journal |author=<!--Staff writer(s); no by-line.--> |date=January 2019 |title=Liu and Thorne Awarded SASTRA Ramanujan Prize |url=https://www.ams.org/journals/notices/201901/rnoti-p113.pdf |journal=Notices of the American Mathematical Society |volume=66 |issue=1 |pages=113-116 |issn=1088-9477 |access-date=2024-03-02}}</ref>


In joint work with James Newton, Thorne has established symmetric power functoriality for all [[Holomorphic function|holomorphic]] [[modular forms]].<ref>{{cite journal|last1=Newton|first1=James|last2=Thorne|first2=Jack A.|year=2021|title=Symmetric power functoriality for holomorphic modular forms|journal=[[Publications Mathématiques de l'IHÉS]]|volume=134|pages=1–116|doi=10.1007/s10240-021-00127-3 |arxiv=1912.11261|s2cid=209460741 }}</ref><ref>{{cite journal|last1=Newton|first1=James|last2=Thorne|first2=Jack A.|date=2021|title=Symmetric power functoriality for holomorphic modular forms, II|journal=[[Publications Mathématiques de l'IHÉS]]|volume=134|pages=117–152|doi=10.1007/s10240-021-00126-4 |arxiv=2009.07180|s2cid=221703327 }}</ref>
In 2018, Thorne was an invited speaker at the [[International Congress of Mathematicians]] in [[Rio de Janeiro]].<ref>{{Cite web|url=http://www.icm2018.org/portal/en/invited-section-lectures-speakers|title=Invited Section Lectures - Speakers {{!}} ICM 2018|website=www.icm2018.org|access-date=2018-11-30|archive-url=https://web.archive.org/web/20181208144537/http://www.icm2018.org/portal/en/invited-section-lectures-speakers|archive-date=8 December 2018|url-status=dead}}</ref><ref>{{Citation|last=plusmathsorg|title=ICM 2018: Jack Thorne|date=2018-08-09|url=https://www.youtube.com/watch?v=axKZ7YMsNrQ|access-date=2019-02-22}}</ref>


==Awards and honors==
In joint work with James Newton,<ref>{{cite arxiv|last1=Newton|first1=James|last2=Thorne|first2=Jack A.|date=2020-07-17|title=Symmetric power functoriality for holomorphic modular forms|class=math.NT|eprint=1912.11261}}</ref><ref>{{cite arxiv|last1=Newton|first1=James|last2=Thorne|first2=Jack A.|date=2020-09-15|title=Symmetric power functoriality for holomorphic modular forms, II|class=math.NT|eprint=2009.07180}}</ref> Thorne has established symmetric power functoriality for all [[Holomorphic function|holomorphic]] [[modular forms]]. Thorne was awarded a [[Breakthrough Prize in Mathematics#2022|New Horizons in Mathematics Prize]] in 2021 "For transformative contributions to diverse areas of algebraic number theory, and in particular for the proof, in collaboration with James Newton, of the automorphy of all symmetric powers of a holomorphic modular newform."<ref>{{Cite web|title=Breakthrough Prize – Winners Of The 2022 Breakthrough Prizes In Life Sciences, Fundamental Physics And Mathematics Announced|url=https://breakthroughprize.org/News/65|access-date=2021-09-10|website=breakthroughprize.org|language=en}}</ref>
⚫
Thorne was awarded the [[Whitehead Prize]] in 2017.<ref name="London Mathematical Society 2017 prizes">{{cite web | title=LMS Prizes 2017 | website=London Mathematical Society | date=2017-06-30 | url=https://www.lms.ac.uk/news-entry/30062017-1833/lms-prizes-2017 | access-date=2024-03-02}}</ref> In 2018, Thorne was an invited speaker at the [[International Congress of Mathematicians]] in Rio de Janeiro.<ref>{{Cite web|url=http://www.icm2018.org/portal/en/invited-section-lectures-speakers|title=Invited Section Lectures – Speakers {{!}} ICM 2018|website=www.icm2018.org|access-date=30 November 2018|archive-url=https://web.archive.org/web/20181208144537/http://www.icm2018.org/portal/en/invited-section-lectures-speakers|archive-date=8 December 2018|url-status=dead}}</ref><ref>{{Citation|last=plusmathsorg|title=ICM 2018: Jack Thorne|date=9 August 2018|url=https://www.youtube.com/watch?v=axKZ7YMsNrQ|access-date=22 February 2019}}</ref> He was awarded the 2018 [[SASTRA Ramanujan Prize]] for his contributions to the field of mathematics. He shared the prize with [[Yifeng Liu]].<ref>{{Cite web|url=https://sas.sastra.edu/ramanujan/Ramanujan-Awards.php|title=Srinivasa Ramanujan Centre (SRC)|website=sas.sastra.edu|access-date=22 February 2019}}</ref><ref>{{cite web |last1=Maeve Forti |title=Yifeng Liu wins prestigious award in mathematics |url=https://news.yale.edu/2018/10/25/yifeng-liu-wins-prestigious-award-mathematics |website=YaleNews |publisher=Yale University |access-date=3 February 2019|date=25 October 2018 }}</ref><ref>{{cite news |title=Yale, Cambridge profs. get SASTRA-Ramanujan Award |journal=The Hindu |date=22 December 2018 |url=https://www.thehindu.com/news/national/tamil-nadu/yale-cambridge-profs-get-sastra-ramanujan-award/article25803389.ece |access-date=3 February 2019}}</ref> In April 2020 he was elected a [[Fellow of the Royal Society]].<ref>{{Cite web|url=https://royalsociety.org/news/2020/04/outstanding-scientists-elected-as-fellows-and-foreign-members-of-the-royal-society/|title=Outstanding scientists elected as Fellows and Foreign Members of the Royal Society|website=royalsociety.org|language=en-GB|access-date=30 April 2020}}</ref> In 2020 he received the EMS Prize of the [[European Mathematical Society]],<ref>{{Cite web |url=https://8ecm.si/prizes |title=EMS Prize 2020 |access-date=13 May 2020 |archive-date=7 July 2020 |archive-url=https://web.archive.org/web/20200707223925/https://8ecm.si/prizes |url-status=dead }}</ref> in 2021 he was awarded a [[Breakthrough Prize in Mathematics#2022|New Horizons in Mathematics Prize]] and in 2022 he was awarded the [[Adams Prize]].<ref>{{Cite web|url=https://www.maths.cam.ac.uk/adams-prize/adams-prize-winner-2021-22|title=Adams Prize Winner 2021–22|website=maths.cam.ac.uk|access-date=25 March 2022}}</ref> For 2023 he received the [[Cole Prize]] in Number Theory of the [[American Mathematical Society]].<ref>[http://www.ams.org/news?news_id=7112 Cole Prize in Number Theory 2023]</ref> In 2024 he received the [[Clay Research Award]] jointly with James Newton.<ref>[https://www.claymath.org/people/?people_type=research-award-winners&year_type=2024&pagination=1 Clay Research Award 2024]</ref>


== References ==
== References ==
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Latest revision as of 15:41, 21 December 2024

Jack Thorne
FRS
Born
Jack A. Thorne

(1987-06-13) 13 June 1987 (age 37)
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

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.
  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". 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
[edit]


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