6 papers
Tracking the Behavioral Trajectories of Adapting Agents
Jonah Leshin, Manish Shah, Ian Timmis
Text files such as skill files, memory files, and behavioral configuration files play a central role in defining how modern agents act. Through edits by humans or the agents themse…
Behavioral Fingerprints for LLM Endpoint Stability and Identity
Jonah Leshin, Manish Shah, Ian Timmis +1
The consistency of AI-native applications depends on the behavioral consistency of the model endpoints that power them. Traditional reliability metrics such as uptime, latency and…
On the gonality of certain quotient varieties
Jonah Leshin
Noether's problem asks whether, for a given field K and finite group G, the fixed field L := K(x_h : h \in G)^G is a purely transcendental extension of K, where G acts on the x_h b…
On S3-extensions with infinite class field tower
Jonah Leshin
We construct a class of -extensions of $\Q$ with infinite 3-class field tower in which only three primes ramify. As an application, we obtain an -extension of $\Q$ with i…
Three-Dimensional Solvable Artin Representations Ramified at One Prime
Jonah Leshin
We classify the possibilities for the fixed field of the kernel of an irreducible three-dimensional Artin representation of $\Q$ with solvable image ramified at one prime by using…
Solvable Number Field Extensions of Bounded Root Discriminant
Jonah Leshin
Let be a number field and the absolute value of the discrimant of . We consider the root discriminant of extensions .…