# 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:

• Large Fourier coefficients of Half-Integer weight modular forms (with W. Kohnen and K. Soundararajan), submitted.
• Critical points of Eisenstein series (with J. Oesterl\'e), submitted.
• Product of prime ideals in ray class groups (with O. Ramar\'e and J. Sivaraman), submitted.
• On the local structure of the set of values of Euler's $\phi$ function (with J.-M. Deshouillers and P. Eyyunni), submitted.
• 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), to appear in 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.