Karl Winsor

activity

20142026

most citedLower-Order Biases Second Moments of Dirichlet Coefficients in Families of

L

-Functions

6 citations · 15 across the 10 of their papers we have counts for

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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.DS2022★ 3 cited

Dense real Rel flow orbits and absolute period leaves

Karl Winsor

We show the existence of a dense orbit for real Rel flows on the area-1 locus of every connected component of every stratum of holomorphic 1-forms with at least 2 distinct zeros. F…

math.DS2021★ 2 cited

Dynamics of the absolute period foliation of a stratum of holomorphic 1-forms

Karl Winsor

Let $C$ be a connected component of a stratum of the moduli space of holomorphic $1$ -forms of genus $g$ . We show that the absolute period foliation of $C$ is er…