K. Ganapathy

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20242026

most citedGL-algebras in positive characteristic II: the polynomial ring

1 citations · 1 across the 8 of their papers we have counts for

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math.RT2026

Axiomatics for generic categories in positive characteristic

Karthik Ganapathy

Generic categories arising in representation stability and equivariant commutative algebra are difficult to analyze in positive characteristic, as these categories rarely admit eno…

math.AC2026

GL-algebras in positive characteristic III: the divided power algebra

Karthik Ganapathy

In this paper, we study GL-equivariant modules over the infinite-variable divided power algebra $D = Div (k^{\infty})$ with $k$ an algebraically closed field of characteristi…

math.AC2026

Derived equivalences via Tate resolutions

K. Ganapathy, Sarang Sane

For any finite sequence of elements $s_{1}, \dots, s_{d}$ in a commutative noetherian ring $R$ , we show that for $n ≫ 0$ , the natural map from the Koszul complex $K(s_1^n, \ldots ,…