Hello! Welcome to my website.
I am currently a postdoctoral research fellow in the Research Station of Geometry & Dynamics at the Mathematical Institute of Heidelberg University, where I am part of Dr. Peter Albers' research group.Â
I am also part of the organizing committee of the RTG colloquium - "Asymptotic Invariants and Limits of Groups and Spaces" (a joint Research Training Group between Heidelberg University and the Karlsruhe Institute of Technology) and the Geometry Seminar in Heidelberg.Â
I received my Ph.D. in 2022 from The Pennsylvania State University, working under the supervision of Dr. Sergei Tabachnikov.
I enjoy thinking about problems that show connections between geometry, and combinatorics: I am interested in billiard systems and spaces of projective polygons.
Septiembre 2023. FotografĂa cortesĂa del Prof. Dr. Fernando Hernández Hernández.
Thanks to all participants for such an exciting week!
https://sites.google.com/view/hd-billiard-and-symplectic/Â
Outer symplectic billiards, P. Albers, A. Chavez-Caliz, and S. Tabachnikov. https://arxiv.org/pdf/2409.07990.
Projective self-dual polygons in higher dimensions, Chavez-Caliz, Ana. Â Advances in Geometry, vol. 23, no. 4, 2023, pp. 567-582. https://doi.org/10.1515/advgeom-2023-0024 (arXiv version here.)
PolĂgonos 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.)