Research Interests

      My research interests are in Number Theory and Representation Theory,
      with a special focus on Automorphic Forms and Special values of L-functions.


Publications

  1. Nonvanishing of central critical values of Rankin-Selberg convolutions for Hilbert modular forms.  (With A. Hamieh)
         Submitted for Publication [pdf]

  2. Sign changes of Fourier coefficients.  (With T. Hulse)
         In Progress

  3. Equidistribution of signs for Hilbert modular forms of half-integral weight.   (With S. Kaushik and N. Kumar)
         Res. Number Theory, 4, No.2 (2018) Art 13, 10pp. [pdf]

  4. Determining Hilbert modular forms by central values of Rankin-Selberg convolutions: the weight aspect.  (With A. Hamieh)
         Ramanujan J. 45, No.3 (2018) 615-637. [pdf]

  5. Determining Hilbert modular forms by central values of Rankin-Selberg convolutions: the level aspect.  (With A. Hamieh)
         Trans. Amer. Math. Soc. 369, No.12 (2017) 8781-8797. [pdf]

  6. On the Nature of e^\gamma and Non-Vanishing of Derivatives of L-series at s=1/2.   (With M. R. Murty)
         J. Number Theory, 161 (2016) 444-456. [pdf]

  7. Sign changes of Fourier coefficients of Hilbert modular forms. (With J. Meher)
         J. Number Theory, 145 (2014) 230-244. [pdf]

  8. Non-Vanishing of Derivatives of L-functions attached to Hilbert Modular Forms.
         Int. J. Number Theory, Vol.8, No.4 (2012) 1099-1105. [pdf]

  9. Notes on the arithmetic of Hilbert modular forms.   (With A. Raghuram)
         J. Ramanujan Math. Soc. 26, No. 3 (2011) 261-319. [pdf]

Expository Paper (Non-Peer-Reviewed)

  1. Some Notes on Fourier Coefficients of Hilbert Modular Forms.
         Proceedings for Seventh Women in Number Theory in Japan (2014) 72-77.

Expository Notes




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