(10 Nov 2018 - 31 Mar 2019) Visiting Researcher, Department of Mathematics, The Institute of Mathematical Sciences (IMSc), Chennai, India.
Supervisor: Dr. Srinivas Kotyada
The project aimed at studying the growth rate of the Riemann zeta function and the gaps between the successive zeros on the critical line. Subsequently, we studied the growth of classical zeta functions, namely Epstein zeta function and Selberg class of L-functions, in the critical strip.
(20 Feb 2018 - 31 July 2018) Research Assistant- I, Department of Mathematics, The University of Hong Kong (HKU), Pokfulam, Hong Kong.
Supervisor: Dr. Ben Kane
The project aimed at studying the growth rate of the Riemann zeta function and the gaps between the successive zeros on the critical line. Subsequently, we studied the growth of classical zeta functions, namely Epstein zeta function and Selberg class of L-functions, in the critical strip.
(25 Feb 2017 - 25 Jan 2018) Project Assistant , Department of Mathematics, Harish-Chandra Research Institute (HRI), Prayagraj (Allahabad), India.
Title: Development of Modules and Tools for Integer Factorization using Number Field Sieve (NFS)
Funding Agency: Defence Research and Development Organisation (DRDO)
Supervisors: Dr. Kalyan Chakraborty, Dr. R. Thangadurai
The problem involved factorization of a 596-bit RSA modulus using NFS. For reducing the time complexity involved in the factorization, I developed an algorithm to increase the efficiency of the Sieving module of NFS.