RESEARCH
Papers
S. Pérez-Ayala and A. Tyrrell, "First Eigenvalue Estimates for Asymptotically Hyperbolic Manifolds and their Submanifolds," submitted for publication. Preprint here: https://arxiv.org/abs/2404.07365.
S. Pérez-Ayala, "Extremal Eigenvalues of the Paneitz Operator in Conformal Classes," submitted for publication. J. Geometry and Physics, https://arxiv.org/abs/2204.04570.
M. J. Gursky and S. Pérez-Ayala, " Variational Properties Of The Second Eigenvalue Of The Conformal Laplacian," J. Funct. Anal., https://arxiv.org/abs/2010.13210.
S. Pérez-Ayala, "Extremal Eigenvalues Of The Conformal Laplacian Under Sire-Xu Normalization," Nonlinear Analysis, https://arxiv.org/abs/2011.06018.
Ongoing work
A. Chang, M. J. Gursky, and S. Pérez-Ayala, “Conformal multiplicity bounds along maximizing sequences.”