I am currently a Coleman Postdoctoral Fellow at the Queen's University, Kingston, Canada. My mentors are Prof. M. Ram Murty and Prof. Brad Rodgers. I completed the Ph.D thesis titled 'Prime divisors of non-zero Fourier coefficients of Hecke eigenforms' under the supervision of Prof. Sanoli Gun at the Institute of Mathematical Sciences, Chennai, India.
My research interest broadly lies in Number theory and in particular, I am interested in arithmetical properties of Fourier coefficients of Hecke eigenforms; Hecke eigenvalues of Ikeda lifts; theory of the Riemann zeta function and Dirichlet L-functions; Artin's primitive root conjceture; Sieve methods.
Corresponding address:
Department of Mathematics, Jeffery Hall 518,
99 University Avenue, Queen's University, Kingston, Ontario, K7L 3N6, Canada.
Email: naik.s@queensu.ca and sunilnaik1729@gmail.com
Curriculum Vitae: Curriculum Vitae.
Links: ResearchGate, Google Scholar, ORCiD, Scopus ID
Teaching (Queen's University, Canada):
Winter 2026* : MATH/MTHE 228 Complex Analysis
Fall 2025 : MATH/MTHE 280 Advanced Calculus
Winter 2025 : MATH 311 Elementary Number Theory.
Fall 2024 : MATH 280 Advanced Calculus.
Winter 2024 : MATH 126 Differential and Integral Calculus.
Fall 2023 : MATH 280 Advanced Calculus.
Education and Affiliations:
Coleman Post-doctoral Fellow (2023-Present): Queen's University, Kingston, Canada.
Mentors: Prof. M. Ram Murty and Prof. Brad Rodgers.
Ph.D Mathematics (2018-2023): The Institute of Mathematical Sciences, Chennai, Tamilnadu, India.
Thesis title: Prime divisors of non-zero Fourier coefficients of Hecke eigenforms.
Thesis advisor: Prof. Sanoli Gun.
Thesis defence: 2nd June, 2023.
M.Sc. Mathematics (2016-2018): University of Hyderabad, Hyderabad, Telangana, India.
B.Sc (2013-2016): SDM Degree College Ujire, Dakshina Kannada, Karnataka, India.
Awards/Fellowships:
HBNI Outstanding Student Award 2024 for my Ph.D thesis (IMSc, Chennai, India).
Coleman Post-doctoral Fellowship, Queen's University, Kingston, Canada (2023).
Ph.D. Scholarship of IMSc, Chennai, India (2018).
National Board of Higher Mathematics (NBHM) Ph.D Scholarship (2018)(did not avail).
Gold Medal -- M.Sc Mathematics, University of Hyderabad, Telangana, India (2018).
Qualified Graduate Aptitude Test in Engineering (GATE) exam - Mathematics (2018).
Qualified CSIR--UGC Mathematics exam (December 2017).
National Board of Higher Mathematics (NBHM) M.Sc Scholarship (2016)(did not avail).
Qualified CSIR--UGC Mathematics exam (December 2016).
Innovation in Science Pursuit for Inspired Research (INSPIRE) Scholarship (2013).