About Me

I am a Professor of Mathematics at the Harish-Chandra Research Institute, Allahabad. Below I give a brief introduction to my career. I was born in Thiruvarur (it is the birth place of the carnatic music giants Thyagaraja, Muthuswami Dikshithar and Shyama Sastrigal - In Tamil language they are referred to as "Sangeetha Mummoorthigal"). I did my schooling (upto 6th Std in a school close to my home) from V. S. Boys' High School and after that did my undergraduate degree in Mathematics from A.V.V.M. Sri Pushpam College, Poondi, Thanjavur Dist (1978-81 batch). Our family moved to Chennai in the year 1981 and I did my post-graduation from the Ramakrishna Mission Vivekananda College, Mylapore during the period 1981-83. After my post-graduation, I did my M. Phil degree in Analysis under Professor P. N. Natarajan (Vivekananda College) and then joined the Ph.D programme in Number Theory under the supervision of Professor T.C. Vasudevan at RKM Vivekananda College in 1984. After completing my Ph.D degree in 1989, I joined the Institute of Mathematical Sciences, Chennai as a post-doctoral fellow in October 1990. After the PDF term at IMSc, I joined the Mehta Research Institute (MRI) as an NBHM post-doctoral fellow in November 1992. I joined as a faculty at MRI in April 1993. The name of our Institute is changed to Harish-Chandra Research Institute in the year 2000. Currently I am a Professor of Mathematics and Dean, Academic. At present, I am also the Treasurer of the National Academy of Sciences, Allahabad.




Research interest

My area of research is in the field of Automorphic forms. More specifically, the theory of modular forms of integral and half-integral weights, higher degree modular forms, Jacobi forms etc.

Publications

Top 10 Publications

  1. On the theory of newforms of half-integral weight. Authors: M Manickam, B Ramakrishnan, T C Vasudevan J. Number Theory 34 (1990), J. Number Theory 34 (1990), no. 2, 210–224. (Reviewer: Solomon Friedberg) 11F37 (11F11)
  2. On Saito-Kurokawa descent for congruence subgroups. Authors: M Manickam, B Ramakrishnan, T C Vasudevan Manuscripta Math. 81 (1993), no. 1-2, 161–182. (Reviewer: Aloys Krieg) 11F46 (11F37)
  3. Modular forms which behave like theta series. Authors B Ramakrishnan, A K Lal, Kalyan Chakraborty Math. Comp. 66 (1997), no. 219, 1169–1183. (Reviewer: Michael C. Berg) 11F11 (11F27 11F30 11Y35)
  4. On Shimura, Shintani and Eichler-Zagier correspondences. Authors: B Ramakrishnan, M Manickam. Amer. Math. Soc. 352 (2000), no. 6, 2601–2617. (Reviewer: Sukumar Das Adhikari) 11F32 (11F25 11F30 11F37 11F55 11F60)
  5. On the lacunarity of two-eta-products. Authors: Shaun Cooper, B Ramakrishnan, Sanoli Gun. Georgian Math. J. 13 (2006), no. 4, 659–673. (Reviewer: Kaliyur R. Vasuki) 11F20 (11F11 11F25)
  6. A canonical subspace of modular forms of half-integral weight. Authors: Sanoli Gun, M Manickam, B Ramakrishnan. Math. Ann. 347 (2010), no. 4, 899–916. (Reviewer: Shaun Cooper) 11F37 (11F11 11F27 11F32)
  7. on shintani correspondence Authors: M Manickam, B Ramakrishnan, T C Vasudevan. Proc. Indian Acad. Sci. Math. Sci. 99 (1989), no. 3, 235–247. (Reviewer: Hiroshi Saito) 11F11 (11F30)
  8. An Eichler-Zagier map for Jacobi forms of half-integral weight. Authors: M Manickam, B Ramakrishnan. Pacific J. Math. 227 (2006), no. 1, 143–150. (Reviewer: Yasushi Tokuno) 11F50 (11F37 11F46)
  9. Theory of newforms of half-integral weight. Authors: M Manickam, Jaban Meher, B ramakrishnan. Pacific J. Math. 274 (2015), no. 1, 125–139. (Reviewer: Djordje Milićević) 11F37 (11F11 11F32)
  10. Jacobi forms and differential operators. Authors: Soumya Das and B Ramakrishnan. J. Number Theory 149 (2015), 351–367. (Reviewer: John Francis Robert Duncan) 11F50 (11F11 11F25)

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Contact Info

Postal Address

B Ramakrishnan
Harish Chandra Research Institute
Chhatnag Road
Jhunsi
Allahabad 211019
Uttar Pradesh
INDIA

Phone Numbers

Office: (+91) 0532-2274319

Home: (+91) 0532-2274019

cellular (+91) 8778692645

Cellular (+91) 9935422987

email

ramki[at]hri[dot]res[dot]in

Personal Email

b[dot]ramki61[at]gmail[dot]com