Hello! Welcome to my website.
I am currently a postdoctoral research fellow at IMATE Unidad Cuernavaca.
Previously, I was a postdoc at Heidelberg University. I received my Ph.D. in 2022 from The Pennsylvania State University, working under the supervision of Dr. Sergei Tabachnikov.
I am interested in billiard systems and spaces of projective polygons.
Heidelberg, Summer 2025.
Outer symplectic billiard map at infinity, P. Albers, A. Chavez Caliz, and S. Tabachnikov. (To appear in Journal of Modern Dynamics) https://arxiv.org/abs/2508.15142
Outer symplectic billiards, P. Albers, A. Chavez Caliz, and S. Tabachnikov. (To appear in Journal of Symplectic Geometry) https://arxiv.org/pdf/2409.07990.
Projective self-dual polygons in higher dimensions, Chavez-Caliz, Ana. Advances in Geometry, vol. 23, no. 4, 2023, pp. 567-582. https://doi.org/10.1515/advgeom-2023-0024 (arXiv version here.)
Polígonos de Poncelet. Ana C Chavez-Caliz. Paskin Matemático (2022) no. 2, vol. 4, pag. 1-4 https://editorial.konradlorenz.edu.co/2022/05/paskin-matematico-vol-4-num-2.html?fbclid=IwAR3F4hV4Fh0R4QHewAfmPVtwaEMSPwWbeegz7BYuLkhq2ZYhXHVq1CsEnFE
More about areas and centers of Poncelet polygons. Ana C. Chavez-Caliz. Arnold Mathematical Journal (2020) https://doi.org/10.1007/s40598-020-00154-8 (arXiv version here.)