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Integrated First Degree

B.E.(Biotechnology)
B.E.(Chemical)
B.E.(Civil)
B.E.(Computer Science)
B.E.(Electrical and Electronics)
B.E.(Electronics and Communication)
B.E.(Electronics and Instrumentation)
B.E.(Manufacturing Engineering)
B.E.(Mechanical)
B.Pharm.(Pharmacy)
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M.E.(Biotechnology)
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M.E.(Civil with specialization in Structural Engineering)
M.E.(Civil with specialization in Transportation Engineering)
M.E.(Communication Engineering)
M.E.(Computer Science)
M.E.(Design Engineering)
M.E.(Embedded Systems)
M.E.(Manufacturing Systems Engineering)
M.E.(Mechanical)
M.E.(Microelectronics)
M.E.(Sanitation Science, Technology and Management)
M.E.(Software Systems)
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M.Pharm.(Pharmaceutics)
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Prof. Debopam Chakraborty

hyderabad Mathematics

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 

  • ''Size of the 2 Selmer groups for Heronian elliptic curves''; Debopam Chakraborty & Vinodkumar Ghale; To appear in the European Journal of Mathematics; (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)
  • ''Elliptic curves associated with Heron triangles with high 2-Selmer rank'' Vinodkumar Ghale, Imdadul Islam & Debopam Chakraborty; (in communication) http://arxiv.org/abs/2308.00625

On The Class Number Divisibility Problem

  • ''Large Polya groups in simplest cubic fields and consecutive bi-quadratic fields''; Md Imdadul Islam, Jaitra Chattopadhyay & Debopam Chakraborty; International Journal of Number Theory (Accepted in 2024); http://arxiv.org/abs/2312.02777
  • ''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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