4 papers
math.AT2026
Improved stability ranges in the homology of Torelli and congruence subgroups
Cihan Bahran
We improve the central stability ranges for H2(Torelli subgroup of Aut(Fn)'s) as GL_n(Z)-representations, H2(Torelli subgroup of mapping class groups) as Sp_2g(Z)-representations,…
math.KT2025
Local degrees of FI-modules through spectral sequences
Cihan Bahran
We establish bounds on the local degrees of FI-modules (in the sense of Church-Miller-Nagpal-Reinhold [CMNR18]) through a spectral sequence which only depend on the initial page an…
math.RT2025
Notes on splitting fields
Cihan Bahran
These notes include introductory material on the notion of splitting fields for modules over a k-algebra where k is a field.
math.KT2024
Regularity of an FI-module via the derivative functor
Cihan Bahran
We characterize the regularity of an FI-module using the derivative functors.