5 papers
On -invariants and isogenies for abelian varieties over function fields
Sohan Ghosh, Jishnu Ray, Takashi Suzuki
We give several formulas for how Iwasawa -invariants of abelian varieties over unramified -extensions of function fields change under isogeny. These are analogue…
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…
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 -extensions of a number field . Kleine later extended these ideas to…
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 -extension of a function field is finitely generated over . This…
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…