6 citations · 15 across the 10 of their papers we have counts for
10 papers
Isoperiodic forms and invariant subvarieties of connected strata
Karl Winsor
Strata of holomorphic -forms have an absolute period foliation given by varying -forms while keeping their integrals along closed loops fixed. In this paper, we classify the…
Hecke Triangle Groups and Special Hyperbolic Elements
Karl Winsor
We study the action of the Hecke triangle groups on with . When , we show the existence of infinitely man…
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…
Saturated orbit closures in the Hodge bundle
Karl Winsor
We give a new proof of the classification of -orbit closures that are saturated for the absolute period foliation of the Hodge bundle. As a consequence, w…
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…
Dynamics of the absolute period foliation of a stratum of holomorphic 1-forms
Karl Winsor
Let be a connected component of a stratum of the moduli space of holomorphic -forms of genus . We show that the absolute period foliation of is er…
Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of -Functions
Megumi Asada, Ryan Chen, Eva Fourakis +9
Let be a nontrivial one-parameter family of elliptic curves over , with , and consider the \te…
Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters
Blake Mackall, Steven J. Miller, Christina Rapti +5
While Random Matrix Theory has successfully modeled many quantities of families of L-functions, it frequently cannot see the family's arithmetic. In some situations this requires a…
Limiting Spectral Measures for Random Matrix Ensembles with a Polynomial Link Function
Kirk Swanson, Steven J. Miller, Kimsy Tor +1
Consider the ensembles of real symmetric Toeplitz matrices and real symmetric Hankel matrices whose entries are i.i.d. random variables chosen from a fixed probability distribution…
Gaps between zeros of GL(2) -functions
Owen Barrett, Brian McDonald, Steven J. Miller +3
Let be an -function associated to a primitive (holomorphic or Maass) cusp form on GL(2) over . Combining mean-value estimates of Montgomery and Vaughan…