Sohan Ghosh

activity

20242026

collaborators

7 papers

math.NT2026

Variation of Iwasawa Invariants for Ordinary Representations

Abhishek, Chandrakant Aribam, Shiva Barman +1

Let $K$ be a number field and $p$ be an odd prime. Greenberg introduced a natural topology on the space of all $Z_{p}$ -extensions of $K$ and established several boundedness…

quant-ph2025

Sdim: A Qudit Stabilizer Simulator

Adeeb Kabir, Steven Nguyen, Sohan Ghosh +5

Quantum computers have steadily improved over the last decade, but developing fault-tolerant quantum computing (FTQC) techniques, required for useful, universal computation remains…

math.NT2025

A Study of Fine Selmer Groups Over Function Fields via Greenberg Neighbourhoods

Sohan Ghosh

Greenberg examined the local behavior of Iwasawa invariants as functions on the the set of all $Z_{p}$ -extensions of a number field $F$ . Kleine later extended these ideas to…

math.NT2024

Finiteness and cofiniteness of fine Selmer groups over function fields

Sohan Ghosh, Jishnu Ray, Takashi Suzuki

We prove that the dual fine Selmer group of an abelian variety over the unramified $Z_{p}$ -extension of a function field is finitely generated over $Z_{p}$ . This…

math.NT2024

On $μ$ -invariants and isogenies for abelian varieties over function fields

Sohan Ghosh, Jishnu Ray, Takashi Suzuki

We give several formulas for how Iwasawa $μ$ -invariants of abelian varieties over unramified $Z_{p}$ -extensions of function fields change under isogeny. These are analogue…

math.NT2024

Characteristic ideal of the fine Selmer group and results on $μ$ -invariance under isogeny in the function field case

Sohan Ghosh, Jishnu Ray

Consider a function field $K$ with characteristic $p > 0$ . We investigate the $Λ$ -module structure of the Mordell-Weil group of an abelian variety over $Z_{p}$ -extensions of $…

Variation of Iwasawa Invariants for Ordinary Representations

Sdim: A Qudit Stabilizer Simulator

A Study of Fine Selmer Groups Over Function Fields via Greenberg Neighbourhoods

Finiteness and cofiniteness of fine Selmer groups over function fields

On μ-invariants and isogenies for abelian varieties over function fields

Characteristic ideal of the fine Selmer group and results on μ-invariance under isogeny in the function field case

On $μ$ -invariants and isogenies for abelian varieties over function fields

Characteristic ideal of the fine Selmer group and results on $μ$ -invariance under isogeny in the function field case