Sanoli Gun

Sanoli Gun

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

Number Theory


Phd from Harish Chandra Research Institute

Career History: 
  • Post doctoral fellow at University of Toronto (2006 - 2007)
  • Coleman Post-doctoral fellow at Queen's University for (2007 - 2008)
  • Assistant Professor at IMSc (2008 - 2011)
  • Reader at IMSc (2011 - 2015)
  • Professor G at IMSc  (2015 - 2020)
  • Professor H at IMSc (2020 - )
Courses Taught: 
  • Algebra
  • Algebraic number Theory
  • Complex Analysis
  • Topology
  • Riemann Surfaces
  • Modular forms
  • Algebraic curves
  • Transcendental number theory
  • A course in arithmetic
Selected publications: 


  • Extreme values of $L$- functions of Newforms (with Rashi Lunia), to appear in Bull London Math. Soc. 
  • On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms (with Sunil L Naik), Forum Math 36 (2024), no. 1, 173-192.
  • On Hecke eigenvalues of Ikeda lifts (with Sunil L. Naik), submitted.
  • Multiplicative independence of $3$ singular moduli: effective approach (with Y. Bilu and E. Tron), submitted.
  • The set of values of any finite iteration of Euler's $\phi$ function contains long arithmetic progression (with R. Balasubramanian and J. M. Deshouillers), to appear in Acta Arithmetica.
  • On non-Archimedean analogue of Atkin-Serre Question (with Y. Bilu and S. L. Naik),  to appear in Math. Annalen. 
  • An application of counting ideals in ray classes (with O. Ramar\'e and J. Sivaraman), submitted.
  • Representing ideal classes of ray class groups by product of prime ideals of small size (with J.-M. Deshouillers, O. Ramar\'e and J. Sivaraman), submitted.
  • Large Fourier coefficients of Half-Integer weight modular forms (with W. Kohnen and K. Soundararajan), to appear in Amer J. Math.
  • Counting ideals in ray classes (with O. Ramar\'e and J. Sivaraman), J. Number Theory 243 (2023), 13-37.
  • On linear independence of Dirichlet $L$ values (with N. Kandhil and P. Philippon), J. Number Theory 244 (2023), 63-83.
  • On an extension of a question of Baker (with Neelam Kandhil),  Int. J. Number Theory 19 (2023), no. 2, 375-388.
  • Uniform explicit Stewart theorem on prime factors of linear recurrences (with Y. Bilu and H. Hong), Acta Arith 206 (2022), no. 3, 223-243.
  • Critical points of Eisenstein series (with J. Oesterl\'e), Mathematika 68 (2022), no. 1, 259-298.
  • Distinguishing newforms by their Hecke eigenvalues (with B. Paul and V. Kumar Murty), Res. Number Theory 7 (2021), no. 3, Paper No. 49, 24 pp.
  • Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two (with B. Paul and W. Kohnen),  Ramanujan J. 54 (2021), no. 1,  43-62.
  • On the local structure of the set of values of Euler's $\phi$ function (with J.-M. Deshouillers and P. Eyyunni), Acta Arith. 199  (2021), no 1, 103--109.
  • On Euclidean Ideal classes in certain Abelian extensions (with J-M. Deshouillers and J. Sivaraman), Math Z 296 (2020), no.1-2, 847--859.
  • Lifting of Elliptic curves (with V. Kumar Murty), Pacific J. Math 301 (2019), no. 1, 101-106.
  • Erratic behaviour of Fourier coefficients of modular forms in short intervals (with Y. Bilu, J-M. Deshouillers and F. Luca), Compositio Math. 154 (2018), no.11, 2441--2461.
  • On existence of Euclidean ideal classes in real cubic and quadratic fields with cyclic class groups (with J. Sivaraman), Michigan Math. J. 69 (2020), no. 2, 429--448.
  • On the Ramanujan-Petersson conjecture for modular forms of half-integral weight (with W. Kohnen), Forum Math. 31 (2019), no.3, 703--711.
  • Transcendental sums related to the zeros of zeta functions (with M. Ram Murty and P. Rath), Mathematika 64 (2018), no. 3, 875--897.
  • 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.