Aryaman Maithani

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20242026

most citedLinear quotients of connected ideals of graphs

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math.AC2026

On the $b$ -invariant of a normal graded ring

Aryaman Maithani, Anurag K. Singh, Kei-ichi Watanabe

The $b$ -invariant of a normal graded ring was defined recently by Okuma, Watanabe, and Yoshida. We study this for invariant rings of finite groups, proving that it is nonpositive i…

math.AC2026

The arithmetic rank of nullcones of classical invariant rings

Manav Batavia, Aryaman Maithani, Kesavan Mohana Sundaram

We compute the arithmetic rank of nullcone ideals arising from natural actions of the special linear, orthogonal, and symplectic groups on direct sums of copies of their standard a…

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…

On the b-invariant of a normal graded ring

The arithmetic rank of nullcones of classical invariant rings

Congruence modules and Wiles defects of determinantal rings of maximal minors

On the $b$ -invariant of a normal graded ring