Prof. Kakde has made pioneering contributions to Non-commutative Iwasawa Theory—a specialized and highly challenging domain in modern number theory.

After completing his graduation, Prof. Kakde submitted his doctoral thesis at the University of Cambridge, where he resolved the main conjecture of the Non-commutative Iwasawa Theory for Tate motives across a wide range of cases. His innovative methods fundamentally advanced the Iwasawa theory, leading to the publication of his landmark book,

“Non-commutative Iwasawa Main Conjectures over Totally Real Fields” (Springer, 2011).

The publisher’s note highlights,

“The algebraic techniques developed by Kakde will almost certainly lead to major progress in the study of congruences between automorphic forms and the main conjectures of the Non-commutative Iwasawa theory.”

Prof. Kakde’s techniques continue to influence global research in number theory.

He has also published extensively in top-tier mathematics journals, including an 87-page article in Inventiones Mathematicae (2013)—an extraordinary feat in a field where research papers are typically concise.

Among his many achievements:

• In 2018, he and collaborators proved the Gross-Stark Conjecture.
• In 2020, he jointly proved the Brumer-Stark Conjecture.
• In 2021, his team made a groundbreaking advancement by solving Hilbert’s 12th Problem for totally real fields—a problem unsolved for over 120 years.

Prof. Kakde’s work has been recognized globally:

• Prof. Masato Kurihara (Japan) praised his solutions to monumental conjectures.
• A rare academic workshop (February 2022) was organized in Japan solely to study his research papers.
• Prof. B. Sury (Indian Statistical Institute, Bengaluru) described him as “the most deserving mathematician for the Ganit Ratna Award, unmatched in India.”

In awarding Prof. Kakde, PTGS proudly affirmed its visionary and precise selection process. Remarkably, after receiving the Ganit Ratna Award, Prof. Kakde was also honoured with the prestigious Infosys Prize – further validating the accuracy, integrity, and foresight of PTGS’s award committee in identifying India’s most exceptional mathematicians.

Prof. Kakde’s remarkable achievements and recognition position him as one of the most distinguished Indian mathematicians after Prof. Srinivasa Ramanujan.

Award Details:

• Award Year: First Ganit Ratna Awardee (2022)
• Date: 21 May 2022
• Location: Dr. D. Y. Patil University, Pimpri
• Chief Guest: Hon’ble Shri. Sushilkumar Shinde, Former Union Home Minister, Ex. Chief Minister of Maharashtra, Ex. Governor of Andhra Pradesh
• Special Guests:
  
  • Padma Bhushan Dr. D. Y. Patil, Founder of D. Y. Patil Group of Institutions, Ex. Governor of Bihar, Tripura and West Bengal
  • Shri. Rajesh Patil, PCMC Commissioner
• Award Components: ₹ 1,51,000/- cash prize (₹ 1,11,000/- from PTGS plus ₹ 40,000/- from Prof. Satish Bhatnagar from University of Newada, Las Vegas, U.S.A) & commemorative memento