Mahesh Kakde
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Mahesh Kakde | |
|---|---|
| Born | 1983 (age 41–42) |
| 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[1] (born 1983) is a mathematician working in algebraic number theory.
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 μ = 0 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 μ = 0 hypothesis.[9]
