My research works

My main research interest lies in number theory. Currently, I am working on arithmetic statistics, mainly on squarefree density results for polynomial discriminants. I use tools that come mainly from algebraic number theory, analytic number theory, and combinatorics.

See below for a list of my publications.

Publications

• Muhammad Afifurrahman, Valentio Iverson, and Gian Cordana Sanjaya, Multiplicatively dependent integer vectors on a hyperplane, submitted. (arxiv version)
• Gian Cordana Sanjaya, Density of Special Classes of Polynomials with Squarefree Discriminant, submitted. (arxiv version)
• Valentio Iverson, Gian Cordana Sanjaya, and Xiaoheng Wang, Squarefree discriminants of polynomials with prime coefficients, submitted. (arxiv version)
• Gian Cordana Sanjaya and Xiaoheng Wang, On the squarefree values of \(a^4 + b^3\), Math. Ann. 386 (2023), 1237-1265. (published version)

Talks

• I give talks on the University of Waterloo's Student Number Theory Seminar regularly, once every term.
• I gave a talk titled "On the squarefree values of \(a^4 + b^3\)" at the University of Waterloo's Number Theory Seminar on October 2022, based on the paper of the same title.