Publications and Preprints

Publications

• Fermat’s polygonal number theorem for repeated generalised polygonal numbers, with Soumyarup Banerjee, Ben Kane, Muratzhan Kyranbay, Dayoon Park, Sagnik Saha, Hiu Chun So, and Piyush Varyani, Journal of Number Theory, 2020. [doi] [arxiv]

Preprints

• Vanishing of local cohomology in unramified mixed characteristic, 2026. [arxiv]
• The arithmetic rank of the residual intersections of a complete intersection ideal, with Kesavan Mohana Sundaram, Taylor Murray, and Vaibhav Pandey, 2025. [arxiv]
• Syzygies of associated graded modules, with Hariharan Ananthnarayan and Omkar Javadekar, 2025. [arxiv]