Ajay Prajapati

Department of Mathematics

Indian Institute of Science, Bangalore

About Me

I am a fourth-year PhD student working in Algebraic Number Theory under the guidance of Prof. Mahesh Kakde.

Education

• PhD candidate at the Indian Institute of Science, Bangalore (August 2022- present)
• BS-MS Indian Institute of Technology, Kanpur (August 2017- May 2022)

Teaching

Conferences/Workshops attended

• "Taipei Summer School and Iwasawa 2025" at National Center for Theoretical Sciences (NCTS), Taipei, Taiwan. (25th June-4th July 2025)
• "Automorphic forms and the Bloch-Kato Conjecture" at International Center for Theoretical Sciences (ICTS), Bangalore. (19th May-30th May 2025)
• "p-adic methods in Number Theory" (Prof. Haruzo Hida 70th Birthday conference) at Tata Institute of Fundamental Research (TIFR), Mumbai. (25th Nov-29th Nov 2025)
• "Introduction to the p-adic local Langlands program" at IIT Jammu. (17th Sept- 25th Sept 2024)
• "Iwasawa theory of Hilbert Modular forms" at Harish Chandra Research Institute, Prayagraj. (13th May-17th May 2024)
• "Hida Theory and the Iwasawa Main Conjecture" at Chennai Mathematical Institute (CMI), Chennai. (4th Dec-9th Dec 2023)
• "Rational Points on Modular Curves" at International Center for Theoretical Sciences (ICTS), Bangalore. (11th Sept-22nd Sept 2023)
• "Elliptic Curves and the Special values of L-functions" at International Center for Theoretical Sciences (ICTS), Bangalore. (8th Aug-19th Aug 2022)
• "Elliptic Curves and the Special values of L-functions" at International Center for Theoretical Sciences (ICTS), Bangalore. (2nd Aug-7th Aug 2021)

Upcoming Conferences/Workshops of interest

• "Iwasawa 2027" at Harish Chandra Research Institute, Prayagraj.
• "Fifty years of Eisenstein ideal" at International Center for Theoretical Sciences (ICTS), Bangalore. (4th January-15th January 2027)
• "Pan Asia Number Theory Conference 2026" at National University of Singapore. (30th Nov–4th Dec 2026)

Achievements

• Received the Prime Minister’s Research Fellowship for pursuing Ph.D. studies.
• Received the Bhagwan Das Sanghi Memorial Gold Medal in the IIT Kanpur’s 55th Convocation.
• Secured All India Rank 588 in JEE Advanced 2017 and All India Rank 399 in JEE Mains 2017.
• Awarded the Kishore Vaigyanik Protsahan Yojana (KVPY) Fellowship in 2017.
• Selected for participation in the Indian National Mathematics Olympiad (INMO) in the years 2015 and 2016.

Contact Information

Email: ajayp at iisc dot ac dot in