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.

- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)

Harish Chandra Research Institute

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INDIA