Sohan Ghosh

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20242026

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math.NT2026

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.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.NT2025

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 the Iwasawa theory of Cayley graphs

Sohan Ghosh, Anwesh Ray

This paper explores Iwasawa theory from a graph theoretic perspective, focusing on the algebraic and combinatorial properties of Cayley graphs. Using representation theory, we anal…

math.NT2024

Characteristic ideal of the fine Selmer group and results on $I^¼$ -invariance under isogeny in the function field case

Sohan Ghosh, Jishnu Ray

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