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math.GT2020
Canonical translation surfaces for computing Veech groups
Brandon Edwards, Slade Sanderson, Thomas A. Schmidt
For each stratum of the space of translation surfaces, we introduce an infinite translation surface containing in an appropriate manner a copy of every translation surface of the s…
math.GT2004
Geometry of infinitely generated Veech groups
Pascal Hubert, Thomas A. Schmidt
Veech groups uniformize Teichmüller geodesic curves in Riemann moduli space. Recently, examples of infinitely generated Veech groups have been given. We show that these can even ha…
math.GT2004
Low height geodesics and the Markoff spectrum
Thomas A. Schmidt, Mark Sheingorn
We classify, in terms of topology of highest arcs, low height non-simple geodesics on the modular hyperbolic punctured sphere with three elliptic fixed points of order two. Of eigh…