Aryaman Maithani

activity

20242026

collaborators

10 papers

math.AC2026

Abelian extensions of equicharacteristic regular rings need not be Cohen-Macaulay

Aryaman Maithani, Anurag K. Singh, Prashanth Sridhar

By a theorem of Roberts, the integral closure of a regular local ring in a finite abelian extension of its fraction field is Cohen-Macaulay, provided that the degree of the extensi…

math.AC2026

Polynomial invariants of classical subgroups of $GL_{2}$ : Conjugation over finite fields

Aryaman Maithani

Consider the conjugation action of the general linear group $GL_{2} (K)$ on the polynomial ring $K [X_{2 \times 2}]$ . When $K$ is an infinite field, the ring of invari…

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 $I^» : A \to O$ , which is tantamoun…

math.AC2026

Homological properties of invariant rings of permutation groups

Aryaman Maithani

Consider the action of a subgroup $G$ of the permutation group on the polynomial ring $S := k [x_{1}, \dots, x_{n}]$ via permutations. We show that if $k$ does not have characteris…

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.AC2025

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…

Abelian extensions of equicharacteristic regular rings need not be Cohen-Macaulay

Polynomial invariants of classical subgroups of GL2​: Conjugation over finite fields

Congruence modules and Wiles defects of determinantal rings of maximal minors

Homological properties of invariant rings of permutation groups

Edge ideals with linear quotients and without homological linear quotients

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

Polynomial invariants of classical subgroups of $GL_{2}$ : Conjugation over finite fields