23 citations · 23 across the 6 of their papers we have counts for
7 papers
The Profinite Rigidity of Torsion-Free Lamplighter Groups
Nikolay Nikolov, Julian Wykowski
We prove that the torsion-free lamplighter group of any rank is profinitely rigid in the absolute sense: the finite quotients of…
The Profinite Rigidity of Free Metabelian Groups
Julian Wykowski
We prove that finitely generated free metabelian groups are profinitely rigid in the absolute sense: they are distinguished by their finite quotients among all finitely gener…
Profinite Rigidity over Noetherian Domains
Julian Wykowski
We initiate the study of profinite rigidity for modules over a Noetherian domain: to what extent are these objects determined by their finite images? We establish foundational stat…
Humanity's Last Exam
Long Phan, Alice Gatti, Ziwen Han +1168
Benchmarks are important tools for tracking the rapid advancements in large language model (LLM) capabilities. However, benchmarks are not keeping pace in difficulty: LLMs now achi…
Cohomological Separability of Baumslag--Solitar groups and Their Generalisations
William D. Cohen, Julian Wykowski
A group has separable cohomology if the profinite completion map induces an isomorphism on cohomology with finite coefficient modules. In this article,…
Profinite Subgroup Accessibility and Recognition of Amalgamated Factors
Julian Wykowski
We investigate accessible subgroups of a profinite group , i.e. subgroups appearing as vertex groups in a graph of profinite groups decomposition of with finite edge gro…
An investigation into Lie algebra representations obtained from regular holonomic D-modules
Julian Wykowski, Travis Schedler
Beilinson--Bernstein localisation relates representations of a Lie algebra to certain -modules on the flag variety of . In [arXiv:2002.015…