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. I enjoy making math content accessible and fun for students and the general public.
Heidelberg, Summer 2025.
Symplectic billiards as Minkowski billiards, P. Albers, A. Chavez Caliz, S. Tabachnikov. https://arxiv.org/abs/2607.05986
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.)