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Mahesh Ramesh Kakde[1] (born 1983) is a mathematician working in algebraic number theory.

Biography

Mahesh Kakde was born on 1983 in Akola, India.[2] He obtained a Bachelor of Mathematics degree at the Indian Statistical Institute in Bangalore in 2004, and a Certificate of Advanced Study in Mathematics at the University of Cambridge in 2005.[2] He completed his PhD under the supervision of John Coates at the University of Cambridge in 2008.[1][2] 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.[2]

Research

Kakde proved the main conjecture of Iwasawa theory in the totally real [[Iwasawa's μ-invariant|Template:Math case]].[3] Together with Samit Dasgupta and Kevin Ventullo, he proved the Gross–Stark conjecture.[4] In a joint project with Samit Dasgupta, they proved the Brumer–Stark conjecture away from 2 in 2020,[5] and later over in 2023.[6] Generalising these methods, they also gave a solution to Hilbert's 12th problem for totally real fields.[7][8] Their methods were subsequently used by Johnston and Nickel to prove the equivariant Iwasawa main conjecture for abelian extensions without the Template:Math hypothesis.[9]

Awards

In 2019, Kakde was awarded a Swarnajayanti Fellowship.[10][11][12][13]

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.[14][15]

In 2022, Kakde received the Infosys Prize for his contributions to algebraic number theory.[16] 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."[16]

References

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