Assistant Professor

Dr Manish Kumar Pandey

Department of Mathematics

Interests

  1. Modular forms
  2. L–functions
  3. Lifting maps

Education

2009

Banaras Hindu University, Varanasi
India
B.Sc.

2011

Indian Statistical Institute, Bangalore
India
M. Math

2019

Harish Chandra Research Institute, Prayagraj
India
Ph.D.

Experience

  • August 2019 to July 2020 | Post–Doctoral Fellow | IISER Bhopal

Research Interest

  • Arithmetic and analytic properties of L–functions associated to automorphic forms.
  • Lifting maps like Shimura, Shintani and Saito–Kurokawa between automorphic forms.

Awards & Fellowships

  • CSIR–NET JRF
  • GATE
  • NBHM Scholarship

Publications

  • Manish Pandey and P. Tiwari, “On the first sign change of Fourier coefficients of cusp forms at sum of two squares”, accepted for publication in "Research in Number Theory".
  • Distingushing pure representations by normalized traces, Manish K. Pandey, Sudhir Pujahari, Jyoti Prakash Saha, J. Number Theory 195, 2019, 217–225.
  • On simultaneous non-vanishing of twisted L-functions associated to new- forms on Γ0(N), Abhash Kumar Jha, Abhishek Juyal and Manish Kumar Pandey, J. Ramanujan Math. Sco. 34, 2019, no. 2, 245–252.
  • Shimura and Shintani liftings of certain cusp forms of half-integral and integral weights, Manish Kumar Pandey, B. Ramakrishnan, Anup Kumar Singh, Tshukuba J. Math. 43, 2019, no. 2, 191–210.
  • Signs of Fourier coefficients of cusp forms at sum of two squares, Soum- yarup Banerjee, Manish Kumar Pandey, Proc. Indian. Acad. Sci. Math. Sci. 130, 2020, no. 1.

Contact Details

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