Aryaman Maithani

activity

20242026

collaborators

4 papers

math.AC2026

Congruence modules and Wiles defects of determinantal rings of maximal minors

Kashif Khan, Aryaman Maithani

Let $O$ be a discrete valuation ring and $A := O [X_{m \times n}] / I_{m} (X)$ the determinantal ring of maximal minors. We consider algebra maps $λ : A \to O$ , which is tantamount…

math.AC2025

The Scarf complex of squarefree powers, symbolic powers of edge ideals, and cover ideals of graphs

Trung Chau, Nursel Erey, Aryaman Maithani

Every monomial ideal $I$ has a Scarf complex, which is a subcomplex of its minimal free resolution. We say that $I$ is Scarf if its Scarf complex is also its minimal free resolutio…

math.AC2025

Edge ideals with linear quotients and without homological linear quotients

Trung Chau, Kanoy Kumar Das, Aryaman Maithani

A monomial ideal $I$ is said to have homological linear quotients if for each $k \geq 0$ , the homological shift ideal $HS_{k} (I)$ has linear quotients. It is a well-known fac…

math.AC2024

Splitting the difference: Computations of the Reynolds operator in classical invariant theory

Aryaman Maithani

If $G$ is a linearly reductive group acting rationally on a polynomial ring $S$ , then the inclusion $S^{G} ↪ S$ possesses a unique $G$ -equivariant splitting, called t…