Sanoli Gun

Sanoli Gun

Professor
Mathematics
2254 3202
sanoli @ imsc . res . in
202 New Building
Research Interests: 

Number Theory

Education: 

Phd from Harish Chandra Research Institute

Career History: 
  • Post doctoral Fellow at University of Toronto (2006 - 2007)
  • Coleman research Fellow at Queen's University (2007 - 2008)
  • Assistant Professor at IMSc (2008 - 2011)
  • Reader F at IMSc (2011- 2015)
  • Professor G at IMSc (2015 -)
Courses Taught: 
  • Algebra
  • Algebraic number Theory
  • Topology
  • Riemann Surfaces
  • Modular forms
  • Algebraic curves
  • Transcendental number theory
  • A course in arithmetic
Selected publications: 

 

  • Erratic behaviour of Fourier coefficients of modular forms in short intervals (with Y. Bilu, J-M. Deshouillers and F. Luca), to appear in Compositio Math.
  • Transcendental sums related to the zeros of zeta functions (with M. Ram Murty and P. Rath), to appear in Mathematika.
  • On Hecke eigenvalues of Siegel modular forms in the Maass space (with B. Paul and J. Sengupta),  Forum Math. 30 (2018), no.3, 775--783.
  • Multiple Lerch zeta functions and an idea of Ramanujan (with B. Saha), MIchigan Math. J.,  67 (2018), no. 2, 267--287.
  •  Simultaneous sign change of Fourier-coefficients of two cusp forms (with W. Kohnen and P. Rath),  Arch. Math., 105 (2015),  no. 5, 413--424.
  • A number field extension of a question of Milnor (with T. Chatterjee and P. Rath), SCHOLAR—a scientific celebration highlighting open lines of  arithmetic research, 15--26, Contemporary Math,  Amer. Math. Soc. 2015.
  • An explicit bound for the first sign change of the Fourier coefficients (with Y-J Choie and W. Kohnen),  Int. Math. Res. Not. 12 (2015), 3782--3792.
  • The circle method and non-lacunarity of modular functions (with J. Oesterl\'e), Journal f\"ur die reine und angewandte Mathematik  703 (2015), 1--25.
  • Transcendence of generalized Euler-Lehmer constants (with E. Saha and S. Sinha), J. Number Theory  145 (2014), 329--339.
  • On zeros of generalized Hurwitz zeta functuions (with T. Chatterjee), J. Number Theory 145 (2014),  352--361.
  • On zeros of Quasi-modular forms (with R.Balasubramanian), J. Number Theory  32 (2012),  no. 10,  2228--2241.
  • On a conjecture of Chowla and Milnor (with M. Ram Murty and P. Rath), Canad. J. Math  63 (2011), no. 6, 1328--1344.
  • Transcendental values of certain Eichler integrals (with M. Ram Murty and P. Rath), Bull. London Math. Soc  43 (2011), no. 5, 939--952.
  • A variant of Lehmer's conjecture, II: The CM-case (with V. Kumar Murty), Canad. J. Math. 63 (2011), no. 2, 298--326.
  • Transcendental nature of special values of L-functions (with M. Ram Murty and P. Rath), Canad. J. Math.  63 (2011), no. 1, 136--152.
  • A canonical subspace of modular forms of half-integral weight (with M. Manickam and B. Ramakrishnan), Math. Ann. 347 (2010), no. 4, 899--916.
  • On the zeros of certain cusp forms, Math. Proc. Cambridge Philos. Soc. 141 (2006), no. 2, 191--195.