Karl Winsor

most citedUniqueness of the Veech 14-gon

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2026

Isoperiodic forms and invariant subvarieties of connected strata

Karl Winsor

Strata of holomorphic $1$ -forms have an absolute period foliation given by varying $1$ -forms while keeping their integrals along closed loops fixed. In this paper, we classify the…

math.DS2026

Hecke Triangle Groups and Special Hyperbolic Elements

Karl Winsor

We study the action of the Hecke triangle groups $G_{q}$ on $λ_{q} Q (λ_{q}^{2}) \cup {\infty}$ with $λ_{q} = 2 cos (π / q)$ . When $q = 18$ , we show the existence of infinitely man…

math.GT2022★ 1 cited

Uniqueness of the Veech 14-gon

Karl Winsor

We obtain the first complete classification result for algebraically primitive Teichmüller curves in a stratum component in genus greater than 2. Specifically, we show that the Vee…