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Integrated First Degree

B.E.(Chemical)
B.E.(Civil)
B.E.(Computer Science)
B.E.(Electrical and Electronics)
B.E. (Electronics and Computer )
B.E.(Electronics and Communication)
B.E.(Electronics and Instrumentation)
B.E.(Manufacturing Engineering)
B.E.(Mechanical)
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M.E.(Civil with specialization in Structural Engineering)
M.E.(Civil with specialization in Transportation Engineering)
M.E.(Computer Science)
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M.E.(Embedded Systems)
M.E.(Manufacturing Systems Engineering)
M.E.(Mechanical)
M.E. Environmental engineering
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M.E.(Software Systems)
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Prof. Debopam Chakraborty

Associate Professor,
Department of Mathematics

Algebraic number theory, Elliptic curves
Birla Institute of Technology & Science, Pilani
Hyderabad Campus
Jawahar Nagar, Kapra Mandal
Dist.-Medchal-500 078
Telangana, India
debopam@hyderabad.bits-pilani.ac.in
+91 40 66303661

Research Publications

On The Rank Computation of Elliptic Curves 

  • On the Mordell-Weil rank and 2-Selmer group of a family of elliptic curves''; Pankaj Patel, Debopam Chakraborty & Jaitra Chattopadhyay; The Ramanujan Journal; Accepted (2026) 

  • ''Size of the 2 Selmer groups for Heronian elliptic curves''; Debopam Chakraborty & Vinodkumar Ghale; European Journal of Mathematics; 9 (4) (2023). 

  • ''Construction of an infinite family of elliptic curves of 2-Selmer rank 1 from Heron triangles''; Debopam Chakraborty, Vinodkumar Ghale & Anupam Saikia; Research in Number Theory;  (2022).
  • ''A Heron triangle and a Diophantine equation''; Vinodkumar Ghale, Shamik Das & Debopam Chakraborty; Periodica Mathematica Hungarica; 1 - 8 (2022)

On The Class Number Divisibility Problem

  • ''Arbitrarily large Polya groups of compositum of simplest fields and some bi-quadratic Polya fields''; Md Imdadul Islam, Debopam Chakraborty & Jaitra Chattopadhyay; International Journal of Number Theory, Accepted, (2025)
  • ''Bi-quadratic Polya fields with five distinct ramified primes''; Md Imdadul Islam, Jaitra Chattopadhyay & Debopam Chakraborty; Research in Number Theory, 11: 13 (2025).
  • ''Large Polya groups in simplest cubic fields and consecutive bi-quadratic fields''; Md Imdadul Islam, Jaitra Chattopadhyay & Debopam Chakraborty; International Journal of Number Theory, 20 (9), pp. 2277-2286, 2024.
  • ''On class number divisibility of number fields and points on elliptic curves''; Debopam Chakraborty; A book chapter in ''Class groups of number fields and related topics''; Published by Springer; (2020).
  • "On the period of the continued fraction of  √pq ''; Shamik Das, Debopam Chakraborty & Anupam Saikia; Acta Arithmetica; 196; 291 - 302; (2020)
  • ''On a conjecture of Mordell''; Debopam Chakraborty & Anupam Saikia; Rocky Mountain Journal of Mathematics; 49 (8); 2545 - 2556 (2019).
  • ''An explicit construction for un-ramified quadratic extensions of bi-quadratic fields''; Debopam Chakraborty & Anupam Saikia; Acta Arithmetica; 178; 153-161; (2017).
  • ''Congruence relations for the fundamental unit of a pure cubic field and its class number''; Debopam Chakraborty & Anupam Saikia; Journal of Number Theory; 166; 76-84; (2016).
  • ''On relative class number and continued fractions''; Debopam Chakraborty and Anupam Saikia; Bulletin of Korean Mathematical Society; 52; 1559-1568; (2015).
  • ''Another look at real quadratic fields of relative class number one''; Debopam Chakraborty & Anupam Saikia;  Acta Arithmetica; 163:4; 371-377; (2014).

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