Publications (16)
Generic extensions and generic Polynomials for multiplicative groups
Jorge Morales, Anthony Sanchez
Let be a finite-dimensional algebra over a finite field and let be the multiplicative group of . In this paper, we…
Squeezing the quantum noise of a gravitational-wave detector below the standard quantum limit
Wenxuan Jia, Victoria Xu, Kevin Kuns +168
Precision measurements of space and time, like those made by the detectors of the Laser Interferometer Gravitational-wave Observatory (LIGO), are often confronted with fundamental…
Slope Gap Distributions of Veech Surfaces
Luis Kumanduri, Anthony Sanchez, Jane Wang
The slope gap distribution of a translation surface is a measure of how random the directions of the saddle connections on the surface are. It is known that Veech surfaces, a highl…
Effective equidistribution of large dimensional measures on affine invariant submanifolds
Anthony Sanchez
The unstable foliation, that locally is given by changing horizontal components of period coordinates, plays an important role in study of translation surfaces, including their def…
Gaps of saddle connection directions for some branched covers of tori
Anthony Sanchez
We compute the gap distribution of directions of saddle connections for two classes of translation surfaces. One class will be the translation surfaces arising from gluing two iden…
Quantitative finiteness of hyperplanes in hybrid manifolds
Ko W. Ohm, Anthony Sanchez
We prove a quantitative finiteness theorem for the number of totally geodesic hyperplanes of non-arithmetic hyperbolic -manifolds that arise from a gluing construction of Gromov…