Preprints and Publications

Preprints

• On the arithmetic rank and cohomological dimension of some residual intersections, with Vaibhav Pandey and Uli Walther. [arXiv]
• The Betti numbers and Golodness of numerical semigroup rings of Sally type, with Omkar Javadekar and Manohar Kumar. [arXiv]
• The arithmetic rank of nullcones of classical invariant rings, with Aryaman Maithani and Kesavan Mohana Sundaram. [arXiv]
• Elimination templates in Macaulay2, with Cheng Chen, Anna Natalie Chlopecki, Timothy Duff, William Huang, Aolong Li, and Wanchun Shen. [arXiv]
• Vanishing of local cohomology in unramified mixed characteristic. [arXiv]

Publications

• Syzygies of associated graded modules, with Hariharan Ananthnarayan and Omkar Javadekar, Illinois Journal of Mathematics, 2026. [doi] [arXiv]
• The arithmetic rank of the residual intersections of a complete intersection ideal, with Kesavan Mohana Sundaram, Taylor Murray, and Vaibhav Pandey, International Mathematics Research Notices, 2026. [doi] [arXiv]
• 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]