3 papers
math.CT2026
Set-theoretic universes and paradoxes in 2-topoi
Joseph Helfer
This paper continues the development of (elementary) 2-topos theory, a foundational theory based on an axiomatization of the 2-category of categories. We prove that any 2-topos con…
math.LO2025
Y is a least fixed point combinator
Joseph Helfer
The theory of recursive functions is related in a well-known way to the notion of *least fixed points*, by endowing a set of partial functions with an ordering in terms of their do…
math.AG2025
The integral chow ring of
Joseph Helfer, Eric Jovinelly, Eric Larson +2
This paper computes the integral Chow ring of the moduli space of stable genus 2 curves of compact type. This is done by excising boundary strata from one-by-…