## Rupam Barman

Designation:Associate Professor

Qualification:M. Sc (IIT, Delhi), Ph.D. (IIT Guwahati).

Specialisation:Algebraic number theory, p-adic measures, elliptic curves.

Areas of interest:Algebraic curves, p-adic measures, Hypergeometric functions over finite fields, Modular forms, Ramanujan's mathematics.

Date of Joining TU:31 October, 2002

Thesis Title: Iwasawa invariants of elliptic curves and p-adic measures.

Supervisor:Dr. Anupam Saikia

Click Here for Updated CV (2013)

Professional Experience:

1. Guest lecturer, Department of Mathematical Sciences, Tezpur University from 21st May to 26 December, 2001.

2. Guest lecturer, Department of Mathematics, Bajali College, Pathsala from 1st July to 30th October, 2002.

3. Lecturer, Department of Mathematical Sciences, Tezpur University from 31st October 2002 - 31st December 2005.

4. Assistant Professor, Department of Mathematical Sciences, Tezpur University from 1st January 2006 - 12th August 2010.

5. Associate Professor, Department of Mathematical Sciences, Tezpur University from 13th August 2010 - till date.

Research Publications in Journals:

1.Rupam Barman, Another look at Iwasawa lambda-invariants of p-adic measures on (Z_p)^n and Gamma-transforms, International Journal of Number Theory (World Scientific) (accepted).

2.Rupam Barmanand G. Kalita, Hypergeometric functions over Fq and traces of Frobenius for elliptic curves, Proceedings of American Mathematical Society (in press).

3.Rupam Barmanand A. Saikia, Iwasawa lambda invariants of p-adic measures on (Z_p)^n and their Gamma transforms, Journal of Number Theory, Vol. 132, no. 10, 2258--2266 (2012) (Elsevier).

4.Rupam Barmanand G. Kalita, Certain values of Gaussian hypergeometric series and a family of algebraic curves, International Journal of Number Theory, Vol. 8, no. 4, 945--961 (2012) (World Scientific).

5.Rupam Barmanand G. Kalita, Hypergeometric functions and a family of algebraic curves, The Ramanujan Journal, Vol. 28, no. 2, 175--185 (2012) (Springer).

6.Rupam Barman, On p-adic properties of certain Mahler coefficients, J. Ramanujan Math. Soc., Vol. 26, no. 3, 195--202 (2011) (AMS and RMS).

7.Rupam Barmanand A. Saikia, Coefficients of a p-adic measure on $Z_p^n$ and Iwasawa lambda-invariant of its Gamma-transform, Asian European Journal of Mathematics, Vol. 3, no. 4, 545--554 (2010) (World Scientific).

8.Rupam Barmanand A. Saikia, Iwasawa lambda invariants and Gamma transforms of p-adic measures on (Z_p^n), International Journal of Number Theory, Vol.6, no. 8, 1819--1829 (2010) (World Scientific).

9.Rupam Barmanand A. Saikia, A note on Iwasawa mu invariants of elliptic curves, Bull. Brazilian Math Society (N.S.), Vol. 41, no. 3, 399--407 (2010) (Springer).

10.Rupam Barmanand N. Deka Baruah, Ramanujan's Modular Equations of Degree 15 and Associated Theta-function Identities, Proc. Indian Acad. Sci (Math Scs), Vol. 120, no. 3, 267--284 (2010) (Springer).

11.Rupam Barmanand A. Saikia, Iwasawa lambda invariants and Gamma transforms, J. Ramanujan Math. Soc., Vol. 24, no. 2, 199--209 (2009) (AMS & RMS).

12.Rupam Barmanand N. Deka Baruah, Certain Theta-function Identities and Ramanujan's Modular Equations of Degree 3, Indian Journal of Mathematics, Vol. 48, no. 1, 113--133 (2006).

Research paper presented/ Published in Conference Proceedings:

1.Rupam Barman, Iwasawa mu-invariants of elliptic curves, International Congress of Mathematicians (ICM), Hyderabad, August 19-27, 2010.

2.Rupam Barman, Ramanujan's Modular Equations of Degree 15 and Associated Theta-function Identities, 21st Annual Conference of Ramanujan's Math. Soc.( Department of Mathematics and Statistics, University of Hyderabad), July 3-8, 2006.

Awards/ Fellowships:

1. Awarded Indo-Australlian (2012-2013) visiting fellowship by INSA to work at Newcastle University, Australlia.

2. Awarded Post doctoral fellowship by the Mathematics Center Heidelberg (MATCH), University of Heidelberg Germany for the period April 1 to July 31, 2011.

3. Post doctoral fellowship by ICTP Trieste Italy during 2011 (could not avail).

4. Teacher fellowship by National Board for Higher Mathematics for a period of three years (2008-2011).

5. Awarded Junior Research Fellowship by the Council of Scientific and Industrial Research (CSIR), New Delhi, India, December 2000.

6. GATE 2001 in Mathematics with a percentile score of 99.56 and All India Rank: 04.

7. Recipient of the Institute Merit-cum-Means scholarship at Indian Institute of Technology Delhi, New Delhi, India.

Research Project

1. Iwasawa Theory of Lubin-Tate division towers and a lemma of Coleman(UGC Minor Research project, 2010-2012).

Membership of Professional Bodies/ Societies:

1. Life member of the Ramanujan Mathematical Society (RMS).

2. Life member of the Assam Academy of Mathematics (AAM).