Professor Ph.D. (University of Cambridge, UK)
+91 (0)361 258 2616 a.saikia ◊ iitg ⋅ ac ⋅ in
Research Area: Number Theory
Room No: E302
Personal Website  IRINS Profile
My area of specialization is Number Theory.
My research interests include
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 2001
Thesis Title: Iwasawa Theory of LubinTate Division Towers and pAdic LFunctions
Supervisor: John Coates, FRS, Sadleirian Professor of Mathematics, DPMMS, Cambridge
I am teaching MA 542 this semester (JanApril, 2015).
The other courses that I have taught so far at IIT Guwahati are:
22. Shamik Das and Anupam Saikia, "On θcongruent numbers over real number fields.", Bulletin of Australian Mathematical Society , vol.103 ,pp.218229, [2021]
21. Anupam Saikia, "On the Iwasawa μinvariants of supersingular elliptic curves", Acta Aritmetica , vol.194 (2) ,pp.179186, [2020]
20. Shamik Das and Anupam Saikia, "Families of noncongruent numbers with arbitrarily many pairs of prime factors", Integers , vol.20 [2020]
19. Shamik Das, Debopam Chakraborty and Anupam Saikia, "On the period of the continued fraction of $\sqrt{pq}$.", Acta Aritmetica , vol.196 (3) ,pp.291302, [2020]
18. Rajesh P. Singh, Bhaba K. Sarma and Anupam Saikia, "A public key crystosystem using a group of permutation polynomials", Tatra Mt. Math. Publ. , vol.77 ,pp.139162, [2020]
17. Debopam Chakraborty and Anupam Saikia, "On a conjecture of Mordell", Rocky Mountain J. Mathematics , vol.49 (8) ,pp.25452556, [2019]
16. Naba Kanta Sarma, Anupam Saikia., "Torsion of elliptic curves over imaginary quadratic fields of class number 1", Rocky Mountain J. Math , vol.48 (8) ,pp.26892703, [2018]
15. Anupam Saikia and Kumari Saloni, "Bounding Hilbert coefficients of parameter ideals", Journal of Algebra , vol.67 (142) ,pp.328344, [2018]
14. Anupam Saikia and Dishari Chaudhuri, "On the derived length of units in group algebra", Czechoslovak Math. J , vol.67 (142) ,pp.855865, [2017]
13. Debopam Chakraborty and Anupam Saikia, "An explicit construction for unramified quadratic extensions of biquadratic fields.", Acta Arithmetica , vol.178 (2) ,pp.153161, [2017]
12. Debopam Chakraborty and Anupam Saikia, " Congruence relations for the fundamental unit of a pure cubic field and its class number", Journal of Number theory , vol.166 ,pp.7684, [2016]
11. Debopam Chakraborty, Saikia Anupam. .. ():., "On relative class number and continued fractions.", Bull. Korean Math. Soc. , vol.52 (5) ,pp.15591568, [2015]
10. Chaudhuri Dishari, Anupam Saikia., "On group algebras with unit groups of derived length at most four", Publ. Math. Debrecen , vol.86 (12) ,pp.3948, [2015]
9. Debopam Chakraborty, Saikia Anupam., "Another look at real quadratic fields of relative class number 1", Acta Arithmetica , vol.163 (4) ,pp.371377, [2014]
8. Rupam barman and Anupam Saikia, "Iwasawa λinvariants of padic measures on Znp and their Γtransforms.", Journal of Number Theory , vol.132 (10) ,pp.22582266, [2012]
7. A.Saikia, B.K. Sarma, R.P. Singh, "Poly Dragon: An Efficient Multivariate Public Key Cryptosystem", Journal of Mathematical Cryptology. , vol.4 ,pp.349364, [2011]
6. Rupam Barman and Anupam Saikia, "Iwasawa λinvariants and Γtransforms of padic measures on Z^{n}_{p}", International Journal of Number Theory , vol.8 ,pp.18191829, [2010]
5. Anupam Saikia and Rupam Barman, "Coefficients of a padic measure on Znp and Iwasawa λinvariant of its Γtransform.", AsianEur. J. Math. , vol.3 (4) ,pp.545554, [2010]
4. Rupam Barman and Anuoam Saikia, "A note on Iwasawa μinvariants of elliptic curves", Bull. Braz. Math. Soc. (N.S.) , vol.41 (3) ,pp.399407, [2010]
3. Rupam barman and Anupam Saikia, "Iwasawa λinvariants and Γtransforms", J. Ramanujan Math. Soc. , vol.24 (2) ,pp.199209, [2009]
2. A.Saikia., "Selmer Groups of Elliptic Curves with Complex Multiplication.", Canadian Journal of Mathematics. , vol.56 (1) ,pp.194204, [2004]
1. A.Saikia., "A Simple Proof of a Lemma of Coleman.", Mathematical Proceedings of the Cambridge Philosophical Society. , vol.130 (part 2) ,pp.209220, [2001]
3. Anupam Saikia., "Explicit Reciprocity Law of BlochKato and Exponential Maps.", The BlochKato Conjecture for the Riemann Zeta Function, London Mathematical Society Lecture Note Series, Cambridge University Press. ,pp.6596, [2015]
2. A. Saikia., "Ribet`s Construction of a Suitable Cusp Eigenform.", Workshop on Iwasawa Theory of Totally Real Fields, IIT Guwahati. [2008]
1. A. Saikia., "On units generated by Euler systems.", International Conference on Number Theory, HarishChandra Research Institute, Allahabad. [2006]
PostDoc Fellow
1  Dr. Jaitra Chattopadhyay (NBHM PDF) 
2  Dr. Mohit Mishra (NBHM PDF) 
Research Scholars
1  H Laxmi 
2  Ansh Agrawal 
1  Shamik Das 
2  Rupam Barman 
3  Dishari Chaudhuri 
4  Debopam Chakraborty 
5  Kumari Saloni 
6  Naba Kanta Sarma 
7  Rajesh Pratap Singh 
1. Selmer Groups of Elliptic Curves and Their Applications

2. Web Course: Number Theory

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