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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 : Elliptic curves, p-adic measures, Ramanujan's mathematics, theory of finite groups.
Date of Joining TU : 31 October, 2002
Thesis Title: Iwasawa invariants of elliptic curves and p-adic measures
Supervisor: Dr. Anupam Saikia

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 and A. Saikia, Iwasawa lambda invariants of p–adic measures on (Z_p)^n and their Gamma transforms. Journal of Number Theory(to appear) (Elsevier).

2. Rupam Barman and G. Kalita, Hypergeometric functions over Fq and traces of Frobenius for elliptic curves. Proceedings of American Mathematical Society (to appear).

3. Rupam Barman and G. Kalita, Certain values of Gaussian hypergeometric series and a family of algebraic curves, International Journal of Number Theory (to appear) (World Scientific)

4. Rupam Barman and G. Kalita, Hypergeometric functions and a family of algebraic curves, The Ramanujan Journal (to appear) (Springer).

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

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

7. Rupam Barman and Anupam Saikia, Iwasawa lambda invariants and Gamma transforms of p-adic measures on $Z_p^n$, International Journal of Number Theory (World Scientific), Vol.6, No. 8, pp. 1819-1829 (2010).

8. Rupam Barman and Anupam Saikia, A note on Iwasawa mu invariants of elliptic curves, Bull. Brazilian Math Society (N.S.)(Springer), Vol. 41, No. 3, pp. 399-407 (2010).

9. Rupam Barman and Nayandeep Deka Baruah, Ramanujan's Modular Equations of Degree 15 and Associated Theta-function Identities, Proc. Indian Acad. Sci (Math Scs) (Springer), Vol. 120, No. 3, pp. 267-284 (2010).

10. Rupam Barman and Anupam Saikia, Iwasawa lambda invariants and Gamma transforms, J. Ramanujan Math. Soc. 24, No. 2, pp. 199-209 (2009) (AMS & RMS).

11. Rupam Barman and Nayandeep Deka Baruah, Certain Theta-function Identities and Ramanujan's Modular Equations of Degree 3, Indian Journal of Mathematics, Volume 48, No. 1, pp. 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.

Invited talks:

1. Delivered a talk on Iwasawa lambda invariants of p-adic measures and their Gamma-transforms at the Mathematical Institute, University of Heidelberg, Germany on 27th May 2011.

2. Invited as Teaching Assistant for the Advanced Training in Mathematics for Teachers (ATML) in Linear Algebra held at IIT Guwahati from July 3-17, 2010.

3. Delivered a lecture on the structure of Mordel Weil Group of Elliptic curves at the Department of Mathematics, IIT Guwahati on September 20, 2007.

Research paper under preparation/ communicated:

1. Rupam Barman, Another look at the lambda-invariants and Gamma-transforms of p-adic measures on (Z_p)^n (communicated).

2. Rupam Barman, A. Pal, and A. C. Sharma, On the mu-invariants of Gamma-transforms of p-adic measures on (Z_p)^n (under preparation).

Conferences / Schools Attended:

1. 21st Annual Conference of Ramanujan's Mathematical Society held at the Department of Mathematics and Statistics, University of Hyderabad during 3-8 July, 2006, to present the paper “Ramanujan's Modular Equations of Degree 15 and Associated Theta-function Identities” authored by Rupam Barman and Nayandeep Deka Baruah.

2. Summer School in Iwasawa Theory held at McMaster University, Ontario, Hamilton, Canada, August 9-13, 2007 and worked on a project entitled “Q-sequences and Application to Elliptic Curves” under the supervision of Prof. Robert Pollack.

3. Galois Representations and Modular Forms: Workshop in Arithmetic Geometry held at Chennai Mathematical Institute, Chennai, India during September 24 - October 05, 2007.

4. Conference and Workshop on Arithmetic Geometry held in NCBS Bangalore, (organized by Tata Institute of Fundamental Research, Mumbai), March 24-29, 2008.

5. Short term visits: Tata Institute of Fundamental Research (Mumbai): July 24 to August 30, 2008.

6. NBHM Advanced Training in mathematics on "Arithmetic Geometry": IITG, September 22-30, 2008.

7. Advances in Mathematics: Focus on women in mathematics: School of Physical Sciences, JNU, October 5-7, 2009.

8. Advanced Training in Mathematics for Teachers (ATML) in Linear Algebra held at IIT Guwahati during July 3-17, 2010.

9. International Congress of Mathematicians (ICM), Hyderabad, August 19-27, 2010.

10. International Summer School on BSD Conjecture, Sardinia, Italy, June 26-July 3, 2011.

Conference/ Workshop organized/ Upcoming events:

1. Workshop on Algebra and Number Theory during December 22-26, 2010.

Sponsor: NBHM, Department of Atomic Energy, Govt. of India.

Organizers: R. Barman (Convener, Tezpur University), N. Deka Baruah (Tezpur University) and A. Saikia (IIT Guwahati).

Venue: Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur-784028, Assam.

2. Winter School and Conference on Algebra and Number Theory during December 23-29, 2011.

Sponsor: NBHM, Department of Atomic Energy, Govt. of India.

Organizers: R. Barman (Convener, Tezpur University), N. Deka Baruah (Tezpur University) and A. Saikia (IIT Guwahati).

Venue: Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur-784028, Assam.

Awards/ Fellowships:

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

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

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

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

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

Ongoing 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).