Mahesh Ramesh Kakde[1] (born 1983) is a mathematician working in algebraic number theory.
[2] Kakde proved the main conjecture of Iwasawa theory in the totally real μ = 0 case.
[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.
[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.
His work makes important progress towards a p-adic analytic analog of Hilbert’s 12th problem on construction of abelian extensions of number fields.