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{{Short description|Mathematician}}
{{Use dmy dates|date=February 2023}}
{{Use Indian English|date=February 2023}}
{{Infobox person
| name = Mahesh Kakde
| birth_date = {{Birth year and age|1983}}
| birth_place = [[Akola]], [[India]]
| occupation = Algebraic number theorist
| employer = [[Indian Institute of Science]]
| known_for = Partial results for the [[Brumer-Stark conjecture]] and [[Hilbert's 12th problem]]
}}

'''Mahesh Ramesh Kakde'''<ref name=":2">{{Cite web |title=Mahesh Kakde |url=https://www.mathgenealogy.org/id.php?id=132686 |access-date=19 December 2022 |website=[[Mathematics Genealogy Project]]}}</ref> (born 1983) is a mathematician working in [[algebraic number theory]].

== Biography ==
Mahesh Kakde was born on 1983 in [[Akola]], [[India]].<ref name=":0">{{Cite web |last=Kakde |first=Mahesh |date=2021 |title=Curruculum vitae |url=http://math.iisc.ac.in/~maheshkakde/Kakde_CV_Nov2021.pdf |access-date=2022-12-03}}</ref> He obtained a [[Bachelor of Mathematics]] degree at the [[Indian Statistical Institute]] in [[Bangalore]] in 2004, and a [[Part III of the Mathematical Tripos|Certificate of Advanced Study in Mathematics]] at the [[University of Cambridge]] in 2005.<ref name=":0" /> He completed his [[Doctor of Philosophy|PhD]] under the supervision of [[John H. Coates|John Coates]] at the University of Cambridge in 2008.<ref name=":2" /><ref name=":0" /> He subsequently worked at [[Princeton University]], [[University College London]], and [[King's College London]], before becoming a professor at the [[Indian Institute of Science]] in 2019.<ref name=":0" />

== Research ==
Kakde proved the [[main conjecture of Iwasawa theory]] in the [[Totally real number field|totally real]] [[Iwasawa's μ-invariant|{{Math|1=''μ'' = 0}} case]].<ref>{{Cite journal |last=Kakde |first=Mahesh |date=2013 |title=The main conjecture of Iwasawa theory for totally real fields |url=https://www.researchgate.net/publication/45932481 |journal=[[Inventiones Mathematicae]] |volume=193 |issue=3 |pages=539–626 |doi=10.1007/s00222-012-0436-x|arxiv=1008.0142 |bibcode=2013InMat.193..539K |s2cid=253745808 }}</ref> Together with [[Samit Dasgupta]] and Kevin Ventullo, he proved the [[Gross–Stark conjecture]].<ref>{{Cite journal |last1=Dasgupta |first1=Samit |author-link=Samit Dasgupta |last2=Kakde |first2=Mahesh |last3=Ventullo |first3=Kevin |year=2018 |title=On the Gross–Stark Conjecture |url=https://annals.math.princeton.edu/2018/188-3/p03 |journal=[[Annals of Mathematics]] |volume=188 |issue=3 |pages=833–870|doi=10.4007/annals.2018.188.3.3 |s2cid=53554124 |url-access=subscription }}</ref> In a joint project with Samit Dasgupta, they proved the [[Brumer–Stark conjecture]] away from 2 in 2020,<ref>{{Cite arXiv |last1=Dasgupta |first1=Samit |last2=Kakde |first2=Mahesh |date=2022-09-04 |title=On the Brumer-Stark Conjecture |class=math.NT |eprint=2010.00657}}</ref> and later over <math>\mathbb Z</math> in 2023.<ref>{{Cite arXiv |last1=Dasgupta |first1=Samit |last2=Kakde |first2=Mahesh| last3=Silliman| first3=Jesse| last4=Wang| first4=Jiuya |date=2023-10-26 |title=The Brumer–Stark Conjecture over '''Z''' |class=math.NT |eprint=2310.16399}}</ref> Generalising these methods, they also gave a solution to [[Hilbert's twelfth problem|Hilbert's 12th problem]] for totally real fields.<ref>{{Cite arXiv |last1=Dasgupta |first1=Samit |last2=Kakde |first2=Mahesh |date=2021-03-03 |title=Brumer-Stark Units and Hilbert's 12th Problem |class=math.NT |eprint=2103.02516}}</ref><ref>{{Cite news |last=Houston-Edwards |first=Kelsey |date=2021-05-25 |title=Mathematicians Find Long-Sought Building Blocks for Special Polynomials |work=[[Quanta Magazine]] |url=https://www.quantamagazine.org/mathematicians-find-polynomial-building-blocks-hilbert-sought-20210525/}}</ref> Their methods were subsequently used by Johnston and Nickel to prove the equivariant Iwasawa main conjecture for [[abelian extension]]s without the {{Math|1=''μ'' = 0}} hypothesis.<ref>{{Cite arXiv |last1=Johnston |first1=Henri |last2=Nickel |first2=Andreas |date=2021-11-30 |title=An unconditional proof of the abelian equivariant Iwasawa main conjecture and applications |class=math.NT |eprint=2010.03186 |quote=In the present article, we prove the EIMC (with uniqueness) in important cases without assuming any <math>\mu = 0</math> hypothesis. The proof relies on the classical (non-equivariant) Iwasawa main conjecture proven by Wiles [Wil90] and the recent groundbreaking work of Dasgupta and Kakde [DK20] on the strong Brumer–Stark conjecture.}}</ref>

== Awards ==
In 2019, Kakde was awarded a [[Swarnajayanti Fellowship]].<ref>{{Cite web |title=List of Awardees - SwarnaJayanti Fellowships Scheme - 2018-19 |url=https://dst.gov.in/sites/default/files/list%20of%20SJF%20candidates%20for%20the%20year%202018-19.pdf |url-status=live |archive-url=https://web.archive.org/web/20210514142437/https://dst.gov.in/sites/default/files/list%20of%20SJF%20candidates%20for%20the%20year%202018-19.pdf |archive-date=14 May 2021 |access-date=19 December 2022 |website= |publisher=Government of India, Department of Science and Technology}}</ref><ref>{{Cite web |title=List of Awardees – SwarnaJayanti Fellowships Scheme – 2019-20 |url=https://dst.gov.in/sites/default/files/LIST%20OF%20SwarnaJayanti%20Fellowship%20AWARDEES%20-%202019-20%20%281%29_0.pdf |url-status=live |archive-url=https://web.archive.org/web/20201109115950/https://dst.gov.in/sites/default/files/LIST%20OF%20SwarnaJayanti%20Fellowship%20AWARDEES%20-%202019-20%20%281%29_0.pdf |archive-date=9 November 2020 |access-date=2022-12-10 |publisher=Government of India, Department of Science and Technology}}</ref><ref>{{Cite web |title=Dr Mahesh Kakde {{!}} India Science, Technology & Innovation - ISTI Portal |url=https://www.indiascienceandtechnology.gov.in/nationalfellows/dr-mahesh-kakde |access-date=2022-12-10 |website=www.indiascienceandtechnology.gov.in}}</ref><ref>{{Cite web |date=2021-01-20 |title=This IISc professor uses a novel method to prove deep relationships between different Stark elements |url=https://www.edexlive.com/news/2021/jan/20/this-iisc-professoruses-a-novel-method-to-prove-deep-relationships-between-different-stark-elements-17426.html |url-status=live |archive-url=https://web.archive.org/web/20210122080749/https://www.edexlive.com/news/2021/jan/20/this-iisc-professoruses-a-novel-method-to-prove-deep-relationships-between-different-stark-elements-17426.html |archive-date=2021-01-22 |access-date=2022-12-19 |website=Edex Live |language=en}}</ref>

Together with Samit Dasgupta, Kakde was one of the invited speakers at the [[International Congress of Mathematicians]] 2022, where they gave a joint talk on their work on the Brumer–Stark conjecture.<ref>{{Cite web |title=Indian Institute of Science |url=https://iisc.ac.in/events/prof-mahesh-kakde-invited-to-speak-at-the-2022-international-congress-of-mathematicians-in-st-petersburg-russia/ |access-date=2022-12-03 |language=en}}</ref><ref>{{Cite web |title=Duke Mathematicians Present at 2022 International Congress of Mathematicians |url=https://math.duke.edu/news/duke-mathematicians-present-2022-international-congress-mathematicians |access-date=2022-12-03 |website=Department of Mathematics |date=14 July 2022 |language=en}}</ref>

In 2022, Kakde received the [[Infosys Prize]] for his contributions to algebraic number theory.<ref name=":1">{{Cite web |title=Infosys Prize - Laureates 2022 - Mahesh Kakde |url=https://www.infosysprize.org/laureates/2022/mahesh-kakde.html |access-date=2022-12-03 |website=www.infosysprize.org |language=en}}</ref> In his congratulatory message, Jury Chair [[Chandrashekhar Khare]] noted that "[Kakde’s] work on the main conjecture of non-commutative Iwasawa theory, on the Gross-Stark conjecture and on the Brumer-Stark conjecture has had a big impact on the field of algebraic number theory. His work makes important progress towards a p-adic analytic analog of Hilbert’s 12th problem on construction of abelian extensions of number fields."<ref name=":1" />

In 2023, Kakde became a laureate of the [[Asian Scientist 100]] by the ''[[Asian Scientist]]''.<ref>{{cite web |url=https://www.asianscientist.com/as100/ |title=The Asian Scientist 100 |author=  |date= |website= |publisher= [[Asian Scientist]] |access-date= 13 March 2025 |quote= |language= }}</ref>

== References ==
{{reflist}}

== External links ==
* {{Official website|http://www.math.iisc.ac.in/~maheshkakde/}}
* [https://web.archive.org/web/20210614093000/https://nms.kcl.ac.uk/mahesh.kakde/ Old official website at King's College London]

{{Authority control}}

{{DEFAULTSORT:Kakde, Mahesh}}
[[Category:21st-century Indian mathematicians]]
[[Category:Academic staff of the Indian Institute of Science]]
[[Category:1983 births]]
[[Category:Number theorists]]
[[Category:People from Akola]]
[[Category:Alumni of the University of Cambridge]]
[[Category:Indian Statistical Institute alumni]]
[[Category:Living people]]

Mahesh Kakde - Revision history

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