My research interest broadly comes under the Langlands Program. In particular, I am interested in understanding classical modular forms and automorphic representations associated to them. Below is the list of my papers and preprints.

  1. Lifting from SL̃(2) to GSpin(1, 4), Int. Math. Res. Not. 63, 3919-3966 (2005) (pdf).
  2. Sign changes of Hecke eigenvalues of Siegel cusp forms of degree 2, Proc. of Amer. Math. Soc. 136, 3831-3838 (2008) (with Ralf Schmidt) (pdf).
  3. Ramanujan type results for Siegel cusp forms of degree 2, J. of Ramanujan Math. Soc., 24, No. 1, 87-111 (2009) (with Ralf Schmidt) (pdf).
  4. Jacobi Maass Forms, Abh. Math. Sem. Univ. Hamburg, 79, 87-111 (2009) (pdf).
  5. Integral representation for L-functions for Gsp(4) x GL(2), J. Number Theory, 129, 1272-1324 (2009) (with Ralf Schmidt) (pdf)
  6. Bessel models for lowest weight representations of GSp(4, R), Int. Math. Res. Not., 7, 1159-1212 (2009) (with Ralf Schmidt) (pdf)
  7. Classical interpretation of the Ramanujan conjecture for Siegel cusp forms of genus n, Manuscr. Math., 130, Issue 2, 225-231 (2009) (pdf)
  8. Steinberg representation of GSp(4): Bessel models and integral representation of L-functions, Pacific Journal of Mathematics, Vol 250, no. 2, 365-406 (2011) (pdf). A longer version is available here.
  9. Special values of L-functions for Saito-Kurokawa lifts , Mathematical Proceedings of the Cambridge Philosophical Society, Vol 155, Issue 2, 237-255 (2013) (with James L. Brown)(pdf).
  10. Irreducibility Criteria for Local and Global Representations, Proc. of Amer. Math. Soc. 141, no 1, 55-63 (2013) (with Hiro-aki Narita and Ralf Schmidt) (pdf).
  11. Transfer of Siegel cusp forms of degree 2, Mem. Amer. Math. Soc., Volume 232, Number 1090 (2014) (with Abhishek Saha and Ralf Schmidt) (pdf).
  12. Bounds for Rankin Selberg integrals and quantum unique ergodicity for powerful levels, J. Amer. Math. Soc., 27, 141-191 (2014) (with Paul Nelson and Abhishek Saha) (pdf).
  13. Bessel models for GSp(4): Siegel vectors of square-free level, J. Number Theory, 136, 134-164 (2014) (with Ralf Schmidt) (pdf), a longer version is available here.
  14. Characterization of the Saito-Kurokawa lifting : a survey, Rocky Mountain J. Math. 43 (2013), 1747-1757 (with David Farmer, Nathan Ryan and Ralf Schmidt) (pdf).
  15. Lifting to GL(2) over a division quaternion algebra and an explicit construction of CAP representations, Nagoya Mathematical Journal, 222, pp 137-185 (2016) (with Masanori Muto and Hiro-aki Narita) (pdf)
  16. Talking Mathematics: An abstract algebra professors teaching diaries, Research in Undergraduate Mathematics Education (RUME) conference, Denver, Colorado Feb 21-24 (2013) (with John Paul Cook, Ralf Schmidt, Sepideh Stewart) (pdf).
  17. Living it up in the formal world: An abstract algebraist's teaching journey, submitted (with John Paul Cook, Ralf Schmidt, Sepideh Stewart) (pdf).
  18. Multiplicity one for L-functions and applications, submitted arXiv:1305.3792 (with David Farmer, Nathan Ryan and Ralf Schmidt) (pdf).
  19. Test vectors for GL(2) and applications to L-values, to appear in Algebra and Number Theory, arXiv:1310.1765 (with Daniel File and Kimball Martin) (pdf).
  20. Local and global Maass relations, to appear in Math. Z. (with Abhishek Saha and Ralf Schmidt) (pdf) An expanded version is available here.
  21. Lowest weight modules of Sp(4,R) and nearly holomorphic Siegel modular forms, preprint arXiv:1501.00524 (with Abhishek Saha and Ralf Schmidt) (pdf)
  22. Representations of SL(2,R) and nearly holomorphic modular forms, Surikaisekikenkyusho Kokyuroku (Research Institute for Mathematical Sciences, Kyoto University) 1973, 141-154 (2015) (with Abhishek Saha and Ralf Schmidt) (pdf)
  23. Explicit refinements of Bocherer's conjecture for Siegel modular forms of square-free level, preprint arXiv:1512.07204 (with Martin Dickson, Abhishek Saha and Ralf Schmidt) (pdf)
  24. On the critical values of the standart L-function for GSp(4) and the symmetric fourth power L-function for GL(2), in preparation (with Abhishek Saha and Ralf Schmidt)
  25. Glycemic Variability is associated with markers of vascular stress in adolescents The Journal of Pediatrics, May 2016, Volume 172, Pages 47-55 DOI: http://dx.doi.org/10.1016/j.jpeds.2016.01.065 (with Paul Desari, Benjamin Gandomani, April Teague, Michael Otto, Kevin Short)
  26. A note on the growth of nearly holomorphic vector-valued Siegel modular forms , preprint arXiv:1612.04778 (with Abhishek Saha and Ralf Schmidt) (pdf)

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